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Structural Deflections and Stress Menu

• Axial Load Capacities for Single Plates Calculator
• Beam Bending Equations / Calculation Supported on Both Ends Uniform Loading
• Beam Bending Equations / Calculation Supported on Both Ends Single Load at Center
• Beam Bending Equations / Calculation Supported on Both Ends Loaded at any Location
• Beam Bending Equations / Calculation Free and Guided on One End, Rigid one End With Uniform Load
• Beam Bending Equations / Calculation Supported on Both Ends With Overhanging Supports of equal Length and Equal Loads
• Beam Bending Equations / Calculation Supported on Both Ends Loaded Two equal Loads
• Beam Bending Equations / Calculation with Ends Overhanging Supports and a Two Equal Loads applied at Symmetrical Locations
• Beam Bending Equations / Calculation with End Overhanging Supports and a Single Load
• Beam Bending Equations / Calculation Cantilevered Beam with One Load Applied at End
• Beam Bending Equations / Calculation Cantilevered Beam with Uniform Load
• Beam Bending Equations / Calculation Supported on One End, Rigid one End With Uniform Load
• Beam Bending Equations / Calculation Cantilevered Beam with Load at Location Between Support and Load
• Beam Bending Equations / Calculation Free and Guided on One End, Rigid one End With Single Load
• Beam Stress & Deflection Equations / Calculation - Both Ends Overhanging and Supported Unsymmetrical with Uniform Load
• Beam Stress Equations / Calculation - Both Ends Overhanging Supports, Load at any Point Between
• Structural Beam Bending Stress & Deflection Equations / Calculation - Fixed at One End, Supported at the Other, Load at Center
• Beam Stress Deflection Equations / Calculation - Fixed at One End, Supported at the Other, Load at any Point
• Beam Stress Deflection Equations / Calculation - Fixed at Both Ends, Load at Center
• Beam Stress Deflection Equations / Calculation - Fixed at Both Ends, Load at any Location
• Beam Stress Deflection Equations / Calculation with Uniform Loading
• Beam Bending Stress Deflection Equations / Continuous Beam, with Two Unequal Spans, Unequal, Uniform Loads
• Beam Stress Deflection Equations / Calculation - Continuous Beam, with Two Equal Spans, Uniform Load
• Beam Stress Defection Simply Supported on Both Ends Under Superimposed Loading Equations
• Bearing Stress Between Angled Strut and Supporting Pin Equations and Calculator
• Deflection, Shear and Stress Equations and calculator for a Beam supported One End Cantilevered with Partial Distributed Load
• Beam Deflection, Shear and Stress Equations and calculator for a Beam supported One End Cantilevered with Tapered Load
• Beam Deflection, Shear and Stress Equations and calculator for a Beam supported One End Cantilevered with Reversed Tapered Load
• Beam Deflection, Shear and Stress Equations and Calculator for a Beam supported One End Cantilevered with Limited Tapered Load
• Beam Deflection, Shear and Stress Equations and Calculator for a Beam supported One End Cantilevered with Reversed Limited Tapered Load
• Beam Supported One End, Pin Opposite End and Partial Distributed Load Deflection, Shear and Stress Equations and Calculator
• Beam supported One End, Pin Opposite End and two Partial Distributed Load Separated.
• Brittle Failure Theories Computing Safety Factors Excel Spreadsheet Calculator
• Equations and Calculator for a Beam supported One End, Pin Opposite End and One Tapered Distributed Load
• Beam Deflection, Shear and Stress Equations and Calculator for a Beam supported One End, Pin Opposite End and Two Tapered Distributed Load
• Flexural Strengthening of Reinforced Concrete Beam with FRP Laminates Spreadsheet Calculator
• Shear and Stress Equations and Calculator for a Beam supported One End, Pin Opposite End and Triangular Distributed Load
• Calculator for a Beam supported One End, Pin Opposite End and Single Moment at End Applied
• Stress Equations and Calculator for a Beam supported One End, Cantilevered at Defined Location and Single Load at End
• Stress Equations and Calculator for a Beam supported One End, One End, Cantilevered at Defined Location and Distributed Load Between Supports
• Stress Equations and Calculator for a Beam supported One End, Cantilevered at Defined Location and Single Load Between Supports
• Stress Equations and Calculator for a Beam Supported One End, Cantilevered at Defined Location and Single Moment Applied at End
• Stress Equations and Calculator for a Beam Supported One End, Cantilevered at Defined Location and Uniform loading Applied
• Stress Deflection Equations and Calculator Beam Supported Uniform loading Applied on Cantilevered End
• Stress Deflection Equations and Calculator Beam Supported Uniform loading Applied
• Stress Deflection and Moment Equations and Calculator Beam Supported Uniform loading Applied
• Stress Deflection Moment Equations and Calculator Beam Supported Partial Uniform loading Applied
• Stress Deflection Moment Equations and Calculator Beam Supported Partial Tapering Load Applied Equation and Calculator
• Stress Deflection Strain Equations and Calculator Beam Supported Tapering Load Applied
• Stress Deflection Strain Moment Equations and Calculator Beam Supported Partial Tapering Load Applied
• Stresses in Three Dimensions Excel Spreadsheet Calculator
• Beam Stress & Deflection Equations / Calculator Free and Guided on One End
• Beam Stress & Deflection Equations / Calculator Moment Applied at Defined Location
• Beam Stress Deflection Equations / Calculator with Partial Uniform Loading
• Beam Stress Deflection Equations / Calculator with Partial Tapering Loading
• Beam Stress Deflection Equations / Calculator with Fixed Ends Tapering Loading
• Beam Stress Deflection Equations / Calculator with Fixed Ends Moment Applied
• Beam Parabolic Deflection Equation Calculator with Variable Shape
• Beam Cubic Parabola Shape Deflection Equation Calculator with Variable Shape Fixed End Single Concentrated Force Applied
• Combined Stress Circular Cantilever Beam in Direct Compression and Bending Equations and Calculator
• Combined Stress Circular Cantilever Beam in Direct Tension and Bending Equations and Calculator
• Combined Rectangular Cantilever Beam in Direct Compression and Bending Equations and Calculator
• Combined Rectangular Cantilever Beam in Direct Tension and Bending Equations and Calculator
• Combined Loading on Circular Beam or Shaft in Direct Compression and Bending Equation and Calculator
• Combined Loading on Circular Beam or Shaft in Direct Tension and Bending Equation and Calculator
• Combined Loading on Rectangular Beam or Shaft in Direct Compression and Bending Equation and Calculator
• Combined Loading on Rectangular Beam or Shaft in Direct Tension and Bending Equation and Calculator
• Combined Loading on Circular Shaft in Direct Compression and Torsion Equation and Calculator
• Combined Loading on Circular Shaft in Direct Tension and Torsion Equation and Calculator
• Shaft Torsional Deflection and Rigidity Formulas and Calculator
• Combined Loading on Offset Link, Circular Cross Section, in Direct Tension Equation and Calculator
• Combined Loading Offset Link, Circular Cross Section, in Direct Compression Equation and Calculator
• Combined Loading Offset Link, Rectangular Section, in Direct Tension Stress Equation and Calculator
• Combined Loading Offset Link, Rectangular Section, in Direct Compression Stress Equation and Calculator
• Truss Builder And Calculator Solver
• Truss Bridge Generator with Loading Design and Calculator Tool
• Truss Bridge Loading 2D Design Calculator Tool
• Truss Optimization Simulator 2D Toll and Calculator

Curved Beam Stress Calculators

In-Plane Loading of Elastic Frames Deflection and Reaction Equations and Calculators for

• Beam on Elastic Foundation Calculator and Equations Loading Case 1
• Beam on Elastic Foundation Calculator and Equations Loading Case 2 - Beam with moment loading at center
• Beam with Single Point and Moment Loading on Elastic Foundation Calculator and Equations Loading Case 3
• Beam with Distributed Loading on Elastic Foundation Calculator and Equations Loading Case 4
• Concentrated Load on the Horizontal Member Elastic Frame Equations and Calculator
• Distributed Load on the Horizontal Member Elastic Frame Deflections Equations and Calculator
• Frame Deflections with Concentrated Moment Applied on Horizontal Member Equations and Calculator
• Frame Deflections with Concentrated Angular Displacement Applied on Horizontal Member Calculator
• Frame Deflections with Concentrated Lateral Displacement Applied on Horizontal Member Equations and Calculator
• Frame Deflections with Concentrated Load Applied to Vertical Member Equations and Calculator
• Frame Deflections with Distributed Load Applied to Left Vertical Member Equations and Calculator
• Frame Deflections with Concentrated Moment Applied to Left Vertical Member Equations and Calculator
• Frame Deflections with Concentrated Angular Displacement Applied to Left Vertical Member Equations and Calculator
• Frame Deflections with Concentrated Lateral Displacement Applied to Left Vertical Member Equations and Calculator
• Frame Deflections with Concentrated Load Applied to Right Vertical Member Equations and Calculator
• Frame Deflections with Distributed Load Applied to Right Vertical Member Equations and Calculator
• Frame Deflections with Concentrated Moment Applied to Right Vertical Member Equations and Calculator
• Frame Deflections with Concentrated Angular Displacement Applied Right Vertical Member Equations and Calculator
• Frame Deflections with Concentrated Lateral Displacement Applied Right Vertical Member Equations and Calculator
• Frame Deflections with Uniform Temperature Rise Equations and Calculator
• Frame Deflections with Uniform Temperature Differential Between Outside and Inside Equations and Calculator
• Frame Deflections with Concentrated Load on the Horizontal Member Equations and Calculator. Left vertical member guided horizontally, right end pinned.
• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and distributed load on the horizontal member Case 5b formulas and calculator
• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and concentrated moment on the horizontal member Case 5c formulas and calculator Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2.
• Distributed Load Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator.
• Concentrated Moment on the Horizontal Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator.
• Concentrated Angular Displacement on the Horizontal Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator.
• Concentrated Lateral Displacement on the Horizontal Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator.
• Concentrated load on the Left Vertical Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator.
• Distributed Load on the Left Vertical Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator
• Concentrated Moment on the Left Vertical Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator
• Concentrated Angular Displacement on Left Vertical Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator
• Concentrated Lateral Displacement on Left Vertical Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator.
• Concentrated Load on Right Vertical Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator.
• Stress from Drop Load of Beam Supported on Both Ends and Struck in the Center.
• Stress from Drop Load of Beam Fixed on one End and Struck at the Other End Equations and Calculator.
• Stress from Drop Load of Beam Fixed on Both Ends and Struck at Center Equations and Calculator.

Reaction and deflection formulas and calculator for in-plane loading of elastic frames

• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed formulas and calculator. Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2 reference loading number 5a.
• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and distributed load on the horizontal member Case 5b formulas and calculator Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2.
• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and concentrated moment on the horizontal member Case 5c formulas and calculator Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2.
• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and concentrated angular displacement on the horizontal member Case 5d formulas and calculator per. Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2.
• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and concentrated lateral displacement on the horizontal member formulas and calculator. Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2 reference loading number 5e
• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and concentrated load on the left vertical member formulas and calculator. Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2 reference loading number 5f
• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and distributed load on the left vertical member formulas and calculator. Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2 reference loading number 5g
• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and Concentrated moment on the left vertical member formulas and calculator. Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2 reference loading number 5h.
• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and Concentrated angular displacement on the left vertical member formulas and calculator. Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2 reference loading number 5i.
• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and Concentrated lateral displacement on the left vertical member formulas and calculator. Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2 reference loading number 5j.
• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and Concentrated load on the right vertical member formulas and calculator. Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2 reference loading number 5k.
• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and distributed load on the right vertical member formulas and calculator. Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2 reference loading number 5L
• Reaction and deflection formulas for in-plane loading of elastic frame with mounting ends fixed and Concentrated moment on the right vertical member frame formulas and calculator. Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2 reference loading number 5M.
• Concentrated Angular Displacement on the Right Vertical Member Frame formulas and calculator. Roark's Formulas for Stress and Strain, Seventh Edition, Table 8.2 reference loading number 5N.

Plate Deflection and Stress Equations and Calculators

• Circular plate, uniform load, edges simply supported equation and calculator
• Circular plate, uniform load, edges clamped equation and calculator
• Circular Plate Concentrated Load Floating Equation and Calculator
• Circular Plate Concentrated Load Edges Simply Supported Equation and Calculator
• Flat Rectangular Plate with All Edges Simply Supported Stress and Deflection with straight boundaries and constant thickness Equation and Calculator Roark's Stress Strain
• Flat Rectangular Plate with All Edges Simply Supported Stress and Deflection with circular Load applied at center Equation and Calculator.
• Flat Rectangular Plate Uniform Loading over Central Rectangular Area Stress Equation and Calculator
• Flat Rectangular Plate Uniformly Increasing Loading Along Length Stress and Deflection Equation and Calculator. Per. Roark's Formulas for Stress and Strain Formulas for flat plates with straight boundaries and constant thickness
• Flat Rectangular Plate Uniformly Increasing Loading Along Width Stress and Deflection Equation and Calculator. Per. Roark's Formulas for Stress and Strain Formulas for flat plates with straight boundaries and constant thickness
• Flat Rectangular Uniform over entire plate plus uniform tension or compression P lb/linear in applied to short edges Stress and deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain Formulas for flat plates with straight boundaries and constant thickness
• Flat Rectangular Uniform over entire plate plus uniform over entire plate plus uniform tension P lb=linear in applied to all edges Stress and deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain Formulas for flat plates with straight boundaries and constant thickness
• Flat Rectangular Plate; Three Edges Simply Supported, one Edge (b) Free Stress and Deflection With Uniform Force over Entire Plate Equation and Calculator. Per. Roarks Formulas for Stress and Strain Formulas for flat plates with straight boundaries and constant thickness
• Flat Rectangular Plate; Three Edges Simply Supported, one Edge (b) Free Stress and Deflection With Uniformly increasing along the a side Equation and Calculator.
• Flat Rectangular Plate; Three Edges Simply Supported, one Edge Fixed Stress and Deflection With Uniformly increasing along the a side Equation and Calculator. Per. Roarks Formulas for Stress and Strain.
• Flat Rectangular Plate; two long edges simply supported, two short edges fixed Uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain Formulas
• Flat Rectangular Plate; two long edges fixed, two short edges simply supported Uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain Formulas
• Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported Uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain Formulas
• Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading 2/3 of plate from fixed edge Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain Formulas
• Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading 1/3 of plate from fixed edge Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain Formulas
• Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading Uniformly decreasing from fixed edge to free edge Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain Formulas
• Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading Uniformly decreasing from fixed edge to zero at 2/3 b Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading Uniformly decreasing from fixed edge to zero at 1/3 b Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Flat Rectangular Plate; one edge fixed, opposite edge free, remaining edges simply supported loading distributed line load Per. Roarks Formulas for Stress and Strain
• Flat Rectangular Plate; all edges fixed. Uniform loading over small concentric circle of radius r_o (note definition of r'_o) Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Flat Rectangular Plate; all edges fixed. Uniform Decreasing Loading Parallel to Side b Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Flat Rectangular Plate; all edges fixed. uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Over Entire Plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Flat Rectangular Plate; Three Edges Simply Supported, one long Edge Fixed Stress and Deflection With Uniform Loading over entire plate Equation and Calculator.
• Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Uniform Loading over 2/3 of plate from fixed edge Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Uniform Loading over 1/3 of plate from fixed edge Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain for flat plates
• Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Uniformly decreasing from fixed edge to simply supported edge Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain for flat plates
• Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Uniformly decreasing from fixed edge to zero at 2/3b Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Simply Supported Loading Uniformly decreasing from fixed edge to zero at 1/3b Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Supported Loading Uniformly Over Entire Plate Stress and Reaction Loading Equation and Calculator. Per. Roarks Formulas for Stress and Strain for flat plates
• Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniformly decreasing from fixed edge to zero at free edge Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniformly decreasing from fixed edge to zero at 1/3b Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniformly decreasing from fixed edge to zero at 2/3b Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Flat Rectangular Plate, Three Edges Fixed, One Edge (a) Free Loading Uniform over 1/3 of Plate from Fixed Edge Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Flat Rectangular Plate, Two Edges Fixed, Two Edges Free Loading Uniform over Entire Plate Equation and Calculator. Per. Roarks Formulas for Stress and Strain for flat plates with straight boundaries and constant thickness
• Flat Rectangular Plate, Two Edges Fixed, Two Edges Free Load Uniformly Decreasing from z = 0 to z = b Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Flat Rectangular Plate, Two Edges Fixed, Two Edges Free Uniform Loading over Plate from z = 0 to z = (2/3) b Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Flat Rectangular Plate, Two Edges Fixed, Two Edges Free Uniform Loading over Plate from z = 0 to z = (1/3) b Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Flat Rectangular Plate, Two Edges Fixed, Two Edges Free Load Uniformly Decreasing from z = 0 to z = (2/3) b Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Flat Rectangular Plate, Two Edges Fixed, Two Edges Free Load Uniformly Decreasing from z = 0 to z = (1/3) b Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Continuous Plate Supported at Equal Intervals "a" on Circular Supports of Radius r_o Uniform Loading of Entire Plate Stress Equation and Calculator. Per. Roarks Formulas for Stress and Strain for flat plates
• Continuous Plate Supported on an Elastic Foundation of Modulus k (lb/in²/in) Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Continuous Plate Supported on an Elastic Foundation of Modulus k (lb/in²/in) Stress and Deflection Equation and Calculator. Uniform loading over a small circle of radius r_o, adjacent to edge but remote from corner. Per. Roarks Formulas for Stress and Strain
• Continuous Plate Supported on an Elastic Foundation of Modulus k (lb/in²/in) Stress and Deflection Equation and Calculator. Uniform loading over a small circle of radius r_o, adjacent to corner. Per. Roarks Formulas for Stress and Strain
• Parallelogram plate (skew slab) all edges fixed with uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Parallelogram plate (skew slab) all edges simply supported with uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Parallelogram plate (skew slab) shorter edges simply supported, longer edges free with uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Equilateral triangle; all edges simply supported with uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Right-Angle Isosceles Triangle; all edges simply supported with uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Regular polygonal plate; all edges fixed with uniform loading over entire plate Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Rectangular plate, uniform load, simply supported equations and calculator
• Rectangular plate, uniform load, clamped (Empirical) equations and calculator
• Rectangular plate, concentrated load at center, simply supported (empirical) equation and calculator
• Rectangular plate, circular concentrated load at center, clamped edges (empirical) equation and calculator
• Contact Stress Two Sphere's Equation and Calculator
• Contact Stress Two Spheres in Contact Same Material
• Contact Stress Sphere in Contact Flat Surface Equation
• Contact Stress Two Rollers Equation and Calculator
• Contact Stress Sphere on Concave Surface
• Contact Stress Two Rollers Same Material Equation and Calculator
• Contact Stress Roller Contact Flat Plane Equation and Calculator
• Contact Stress Roller Contact Concave Surface Equation and Calculator
• Shear Modulus of Rigidity Chart and Calculator
• Single-Span Beam Deflection for Simple Propped, Fixed or Cantilever Beams. - Include Shear and Moment Diagram.
• Fixed Pin Cantilever Beam Design Calculator
• Flat Plate Deflection & Stress Calculator
• Bolt Elongation Formula and Calculator per. ASME PCC-1When bolt elongation (bolt stretch) measurement is selected as the load-control technique to be used, the required bolt elongation is computed according to the following equation
• Bolt Torque on Assembly for Gasket Contact Stress per. ASME PCC-1 Equations and Calculator
• Bolt Shear AISC Stress Calculator
• Bolt Group Shear and Torsion in Fastened Members Excel Spreadsheet Calculator
• Bolt Elongation Equation and Calculator while under Axial Stress
• Bolt Joint Analysis S-N Diagram for Loading Excel Spreadsheet Calculator
• Circular Plate Deflection, Moments and Stress
• Axial Load Capacities Single Plates Calculator
• Equation and Calculator Fixed and Supported Ends
• Ideal Pinned Column Buckling Calculator
• Column Loading and Elastic Stability Formulae and Calculator Case 1a Stepped straight bar under end load P and intermediate load P₂; upper end free, lower end fixed.
• Column Loading and Elastic Stability Formulae and Calculator Case 1b Stepped straight bar under end load P₁ and intermediate load P₂; both ends pinned.
• Column Loading and Elastic Stability Formulae and Calculator Case 1c Stepped straight bar under end load P1 and intermediate load P2; upper end guided, lower end fixed.
• Column Loading and Elastic Stability Formulae and Calculator Case 1d Stepped straight bar under end load P1 and intermediate load P2; upper end pinned, lower end fixed.
• Column Loading and Elastic Stability Formulae and Calculator Case 1e Stepped straight bar under end load P1 and intermediate load P2; both ends fixed.
• Column Loading and Elastic Stability Formulae and Calculator Case 2a Stepped straight bar under end load P1 and intermediate load P2; both ends fixed.
• Column Loading and Elastic Stability Formulae and Calculator Case 2b Stepped straight bar under tensile end load P1 and intermediate load P2; both ends pinned.
• Column Loading and Elastic Stability Formulae and Calculator Case 2c Stepped straight bar under tensile end load P1 and intermediate load P2; upper end guided, lower end fixed.
• Column Loading and Elastic Stability Formulae and Calculator Case 2d Stepped straight bar under tensile end load P1 and intermediate load P2; upper end pinned, lower end fixed.
• Column Loading and Elastic Stability Formulae and Calculator Case 2e. Stepped straight bar under tensile end load P1 and intermediate load P2; both ends fixed.
• Column Loading and Elastic Stability Formulae and Calculator Case 3a1 Uniform straight bar under end load P and a uniformly distributed load p over a lower portion of the length; several end conditions. Upper end free, lower end fixed.
• Column Loading and Elastic Stability Formulae and Calculator Case 3a2. Uniform straight bar under end load P and a uniformly distributed load p over a lower portion of the length. Upper end pinned, lower end fixed.
• Column Loading and Elastic Stability Formulae and Calculator Case 3a3. Uniform straight bar under end load P and a uniformly distributed load p over a lower portion of the length. Upper end pinned, lower end fixed.
• Column Loading and Elastic Stability Formulae and Calculator Case 3a4. Uniform straight bar under end load P and a uniformly distributed load p over a lower portion of the length. Both ends fixed.
• Column Loading and Elastic Stability Formulae and Calculator Case 3B1. Uniform straight bar under end load P and a uniformly distributed load p over an upper portion of the length; several end conditions Upper end free, lower end fixed.
• Column Loading and Elastic Stability Formulae and Calculator Case 3B2. Uniform straight bar under end load P and a uniformly distributed load p over an upper portion of the length; several end conditions both ends pinned.
• Column Loading and Elastic Stability Formulae and Calculator Case 3B3. Uniform straight bar under end load P and a uniformly distributed load p over an upper portion of the length; upper end pinned, lower end fixed.
• Column Loading and Elastic Stability Formulae and Calculator Case 3B4. Uniform straight bar under end load P and a uniformly distributed load p over an upper portion of the length; both ends fixed.
• Column Loading and Elastic Stability Formulae and Calculator Case 3C1. Stepped straight bar under end load P and a distributed load of maximum value p at the bottom linearly decreasing to zero at a distance a from the bottom Upper end free, lower end fixed.
• Column Loading and Elastic Stability Formulae and Calculator Case 3C2. Stepped straight bar under end load P and a distributed load of maximum value p at the bottom linearly decreasing to zero at a distance a from the bottom Both ends pinned.
• Column Loading and Elastic Stability Formulae and Calculator Case 3C3. Stepped straight bar under end load P and a distributed load of maximum value p at the bottom linearly decreasing to zero at a distance a from the bottom Upper end pinned, lower end fixed.
• Column Loading and Elastic Stability Formulae and Calculator Case 3C4. Stepped straight bar under end load P and a distributed load of maximum value p at the bottom linearly decreasing to zero at a distance a from the bottom Both ends fixed.
• Impact and Sudden Loading Approximate Formulas Equations
• Impact Force of a Blow Formulae and Calculator: Impact force of a blow: A body that weighs W pounds and falls S feet from an initial position of rest is capable of doing WS foot-pounds of work.
• Cylinder Stress and Deflection with Applied Torsion
• Stress Concentration Cylinder feature with Axial Loading
• Tapered Snap Fit Beam Bending Equation and Calculator
• Thin Wall Pressure Vessel Hoop Stress
• Thin Wall Pressure Vessel Longitudinal Stress
• Torsional Deflection of Cylinder
• Torsional Deformation and Stress Solid Circular Section Equations and Calculator
• Torsional Deformation and Stress Solid Elliptical Section Equations and Calculator
• Solid Square Section Torsional Deformation and Stress Calculator and Equations
• Torsional Deformation and Stress Solid Triangular Section Equations and Calculator
• Torsional Deformation and Stress Solid Isosceles Triangle Section Equations and Calculator
• Torsional Deflection of Solid Cylinder
• Torsional Deflection of Hollow Cylinder
• Torsional Deformation and Stress Solid Circular Segmental Section Equations and Calculator
• Torsional Stress Calculator and Equations
• Torsional Deformation and Stress Circular Segmental Section Equations and Calculator
• Torsional Deformation and Stress Circular shaft with opposite sides flattened Equations and Calculator.
• Torsional Deformation and Stress Concentric Circular Section Equations and Calculator. Torsional deflection and stress of a pipe.
• Torsional Deformation and Stress Eccentric Hollow Circular Section Equations and Calculator
• Torsional Deformation and Stress Hollow Elliptical Section Equations and Calculator
• Torsional Deformation and Stress Elliptical Hollow thin-walled section of uniform thickness Equations and Calculator
• Torsion Deformation and Stress Hollow Rectangle Thin Wall Tube Section Equations and Calculator
• Torsional Deformation and Stress Thin Circular Open Tube of Uniform Thickness Section Equations and Calculator
• Torsional Deformation and Stress Any Thin Open Tube of Uniform Thickness Calculator
• Torsional Stiffness Cylindrical Solid Shaft Equations and Calculator
• Torsional Stiffness Hollow Shaft Equations and Calculator
• Torsional Stiffness of Rectangular Plate Equations and Calculator
• Torsional Stiffness of Any Solid Section Equations and Calculator
• Power Transmission Shaft Design Formulas and Calculator for Torsional Stress, Bending Stress and Tensile or Compressive Stress.
• Channel Section with Concentrated Intermediate Torque applied Deflection and Stress Equations and Calculator #1a. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roarks Formulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2.
• C-Section with Concentrated Intermediate Torque applied Deflection and Stress Equations and Calculator #2 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roarks Formulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2.
• Hat Section with Concentrated Intermediate Torque applied Deflection and Stress Equations and Calculator #3 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roarks Formulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2.
• Twin Channel With Flanges Inward Section with Concentrated Intermediate Torque applied Deflection and Stress Equations and Calculator #4 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roarks Formulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2.
• Twin Channel With Flanges Outward Section with Concentrated Intermediate Torque applied Deflection and Stress Equations and Calculator #5 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roarks Formulas for Stress and Strain
• Wide Flange with Equal Flanges Section with Concentrated Intermediate Torque applied Deflection and Stress Equations and Calculator #6 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading.
• Wide Flange Beam with Unequal Flanges Section with Concentrated Intermediate Torque applied Deflection and Stress Equations and Calculator #7 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roarks Formulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2.
• Z-Section Flange Beam with Concentrated Intermediate Torsional Loading Applied Deflection and Stress Equations and Calculator #8 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roarks Formulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2.
• Segment of a Circular Tube Beam with Concentrated Intermediate Torsional Loading Applied Deflection and Stress Equations and Calculator #9 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roarks Formulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2, Row 9.
• Missing Segment Rectangular Tube Section with Concentrated Intermediate Torsional Loading Applied Deflection and Stress Equations and Calculator #10 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roarks Formulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2, Row 10.
• Double Y Section with Concentrated Intermediate Torsional Loading Applied Deflection and Stress Equations and Calculator #11 of 1a Loading. Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roarks Formulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2, Row 11.
• Channel Section with Left end free to twist and warp right end fixed (no twist or warp) Deflection and Stress Equations and Calculator.
  Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roarks Formulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2, Loading Configuration 1b.
• C-Section with Concentrated Intermediate Torque applied Deflection and Stress Equations and Calculator #2 of 1b Loading . Formulas for the elastic deformations of uniform thin-walled open members under torsional loading. Per. Roarks Formulas for Stress and Strain - Formulas for torsional properties and stresses in thin-walled open cross sections, Table 10.2.
• Torsion Applied Deformation and Stress of any elongated section with axis of symmetry OX; Equations and Calculator
• Torque Applied Deformation and Stress of a Trapezoid Equations and Calculator
• Torque Applied Deformation and Stress of a T-Section Equations and Calculator
• Torque Applied Deformation and Stress of a L-Section Equations and Calculator
• Torque Applied Deformation and Stress of a I Beam Section Equations and Calculator
• Torque Applied Deformation and Stress of a C Beam Section Calculator
• Torque Applied Deformation and Stress of a Shaft with Keyway Equations and Calculator
• Torque Applied Deformation and Stress of a Shaft with Two Keyway's Equations and Calculator
• Torque Applied Deformation and Stress of a Shaft with Four Keyways Equations and Calculator
• Torque Applied Deformation and Stress of a Shaft with One Spline Equations and Calculator
• Torque Applied Deformation and Stress of a Shaft with Two Splines Equations and Calculator
• Torque Applied Deformation and Stress of a Shaft with Four Splines Equations and Calculator
• Torque Applied Deformation and Stress of a Pinned Shaft Equations and Calculator
• Torque Applied Deformation and Stress of a Two Grooved Pinned Shaft Equations and Calculator
• Torque Applied Deformation and Stress of a Four Grooved Pinned Shaft Equations and Calculator
• Torsional Deformation and Stress of a Cross Shaft Equations and Calculator
• Shear Stress in Shafts Calculator
• Principal and Von-Mises Stress Equations and Calculator
• Mohr's Circle Equation and Calculator
• Static's Force Analysis for Cylinder Supported by Two Rollers Equation and Calculator
• Engineering 2D and 3D Static's Basics Equations and Calculators
• Two Block Shear Spring Design Equations and Calculator
• Cylindrical Shear Spring with axial load applied design equations and calculator
• Cylindrical Torsion spring with torque applied design equations and calculator
• Flat spring cantilevered design equations and calculator
• Flat spring cantilevered design triangular geometry equations and calculator
• Tapered Flat spring cantilevered design equations and calculator

General Engineering Applications and Mathematics Calculators

• Binomial Distribution Probability Formulas and Calculator - When we are interested in knowing the probability of exactly x successes in n trials that has a probability of success, p, on each trial, then the Binomial Distribution Formula may be useful.
• Stress-Strain Calculator and Plotted Curve Approximation using Ramberg-Osgood Equation
• Graphing Calculator
• Explicit Second Order Calculus Differential Equation Simulator Graphing Tool
• Engineering Mathematics Graphing Tool Online

Formulas for Circular Rings, Moment, Hoop Load, Radial Shear and Deformation

• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator. Loading W applied at 180° through center of circular section
• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator.
  Loading W applied at θ relative to x angle. Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #2.
  Formulas for moments, loads, and deformations and some selected numerical values.
• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #3.
  Loading moment applied M_o at θ relative to x angle. Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #3.
  Formulas for moments, loads, and deformations and some selected numerical values.
• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #4. Loading W at θ relative to x angle. Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #4.
• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #5.
  Loading W at θ relative to A-C Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #5.
• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #6.
  Loading W at θ relative to D-B. Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #6. Formulas for moments, loads, and deformations and some selected numerical values.
• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #7. Ring under any number of equal radial forces equally spaced. Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #7.
  Formulas for moments, loads, and deformations and some selected numerical values.
• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #8. Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #8. Formulas for moments, loads, and deformations and some selected numerical values.
• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator. Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #9. Formulas for moments, loads, and deformations and some selected numerical values.
• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #10 Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #10. Formulas for moments, loads, and deformations and some selected numerical values.
• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #11. Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #11. Formulas for moments, loads, and deformations and some selected numerical values.
• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #12. Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #12. Formulas for moments, loads, and deformations and some selected numerical values.
• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #13. Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms # 13. Formulas for moments, loads, and deformations and some selected numerical values.
• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #14. Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms #14. Formulas for moments, loads, and deformations and some selected numerical values.
• Circular Ring Analysis No 15 Roarks Formulas for Stress and Strain Equations and Calculator Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms Formulas for moments, loads, and deformations and some selected numerical values.
• Circular Ring Analysis No 16 Roarks Formulas for Stress and Strain Equations and Calculator. Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms. Formulas for moments, loads, and deformations and some selected numerical values. Unit axial segment of pipe filled with liquid of weight per unit volume ρ and supported at the base.
• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #17. Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms. Formulas for moments, loads, and deformations and some selected numerical values. Unit axial segment of pipe partly filled with liquid of weight per unit volume ρ and supported at the base.
• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #18 Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms. Formulas for moments, loads, and deformations and some selected numerical values.
• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #19. Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms. Formulas for moments, loads, and deformations and some selected numerical values.
• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #20. Per. Roarks Formulas for Stress and Strain Formulas Section 9, Reference, loading, and load terms #20. Bulkhead or supporting ring in pipe, supported at bottom and carrying total load W transferred by tangential shear v distributed as shown.
• Circular Ring Moment, Hoop Load, and Radial Shear Equations and Calculator #21 Per. Roarks Formulas for Stress and Strain Formulas for Circular Rings Section 9, Reference, loading, and load terms. Formulas for moments, loads, and deformations and some selected numerical values. Ring rotating at angular rate ω rad/s about an axis perpendicular to the plane of the ring. Note the requirement of symmetry of the cross section.

Section Properties Selected Shapes

• Steel W & S Flange Beam and Column Analysis / Code Check Calculator
• Section Modulus - Plastic Section Modulus (PNA)
• Section Properties Square at Center
• Section Properties Square Rotated 45 Deg at Center
• Section Properties Square at Edge
• Section Properties Square Tube at Center
• Section Properties Square Tube Rotated 45 Deg @ Center
• Section Properties Rectangle at Center
• Section Properties Rectangle @ Edge
• Section Properties Rectangle Through Corners
• Engineering Section Properties: Rectangle @ Specified Angle
• Parabolic Spandrel Section Properties Equation and Calculator
• Section Properties Rectangle Tube at Center
• Section Properties Round at Center
• Section Properties Tube/Pipe at Center
• Section Properties Half Round
• Section Properties Half Round Tube
• Section Properties Hexagon at Center
• Section Properties Hexagon Thru Corners
• Section Properties of Parallelogram Equation and Calculator:
• Section Properties Trapezoid
• Section Properties Octagon
• Section Properties Triangle
• Section Properties Triangle At Edge
• Section Properties Half Triangle
• Section Area Moment of Inertia Properties Oblique Triangle
• General Equation and Calculator Mass Moment of Inertia
• Hollow Cylinder Mass Moment of Inertia
• Rectangular Plane Mass Moment of Inertia Calculator
• Rectangular Plate Mass Moment of Inertia Calculator on Edge
• Solid Shaft Cylinder Equation and Calculator Mass Moment of Inertia
• Solid Sphere Cylinder Equation and Calculator Mass Moment of Inertia
• Thin Sphere Cylinder Equation and Calculator
• Thin Wall Shaft Mass Moment of Inertia
• Cored Laminate Composite Stiffness Calculator

Polar Moments of Inertia Equations and Calculators

• Polar Moment of Inertia, Polar Section Modulus Common Shapes
• Polar Mass Moment of Inertia About Axis A-A, Axis B-B and Axis C-C.
• Flywheel Effect Polar Moment of Inertia
• Internal Combustion Engine Flywheel To Drive Machine Formula and Calculator The torque (T ) delivered by an internal combustion engine is a function of the rotation angle (θ).
• Weld Fillet polar moment of Inertia

Vibration Design and Engineering

• Vibration Resonant Frequency of a Flat Plate / Electronic Circuit Card Equation and Calculator
• Angular Natural Frequency Undamped Two Masses Spring System Equations and Calculator
• Angular Natural Frequency Undamped Two Mass Two Springs System Equations and Calculator
• Angular Natural Frequency Undamped Mass Spring System Equations and Calculator
• Angular Natural Frequency Undamped Two Opposed Springs System Equations and Calculator
• Free Mass Undamped Vibration Equations and Calculator
• Shock and Vibration Response Equations
• Miles Equation - Vibration
• Deflection of Uniform Bar with Free Ends Mechanical Vibration
• Angular Natural Frequency of Shaft Equations and Calculator
• Counterbalancing Several Masses Located in a Single Plane Formulas and Calculator In all balancing problems, the product of the counterbalancing mass (or weight) and its radius are calculated; it is thus necessary to select either the mass or the radius and then calculate the other value from the product of the two quantities.
• Counterbalancing Masses Located in Two or More Planes Formulas and Calculator. Unbalanced masses or weights rotating about a common axis in two separate planes of rotation form a couple
• Natural Frequency Undamped Two Opposed Springs One Mass Equation and Calculator
• Natural Frequency Undamped Two Mass Two Springs Equations and Calculator
• Natural Frequency Undamped Cantilevered Mass Equations and Calculator
• Natural Frequency Undamped Two Masses Spring System Equations and Calculator
• Undamped Mass Spring Natural Frequency Equations and Calculator
• Shock and Vibration Response Equations
• Free Mass Undamped Vibration Equations and Calculator
• Resonant Frequency Flat Plate Electronic Circuit Equations and Calculator
• Vibration Severity Chart
• Angular Natural Frequency of Shaft and Two Masses Equations and Calculator
• Angular Natural Frequency of Shaft and One Mass Equations and Calculator
• Angular Natural Frequency of Geared System with Masses Gears Equations and Calculator
• Plastic Spur Gearing Rated Design Hp, Operating Stress Equations and Calculator
• Angular Natural Frequency Two Masses Axial Equations and Calculator
• Angular Natural Frequency Three Masses Axial Equations and Calculator
• Angular Natural Frequency Beam Fixed-Free End Load Applied Equations and Calculator
• Beam Hinged Ends Center Load Applied Angular Natural Frequency Equations and Calculator
• Beam Hinged Ends Off-Center Load Applied Angular Natural Frequency Equations and Calculator
• Beam Fixed Ends Center Load Applied Angular Natural Frequency Equations and Calculator
• Beam Fixed Ends Off-Center Load Applied Angular Natural Frequency Equations and Calculator
• Massive Spring with Concentrated Mass Loads Angular Natural Frequency Equations and Calculator
• Beam Spring Fixed and Free End with Concentrated Mass Loads Angular Natural Frequency Equations and Calculator
• Beam Spring Hinged Ends with Concentrated Mass Loads Angular Natural Frequency Equations and Calculator
• Beam Spring Fixed Ends with Concentrated Mass Loads Angular Natural Frequency Equations and Calculator
• Beam Fixed End and Cantilevered Angular Natural Frequency Equations and Calculator
• Beam Simple Hinged-Hinged Ends Angular Natural Frequency Equations and Calculator
• Beam with Fixed-Fixed Ends Angular Natural Frequency Equations and Calculator
• Beam with Ends Free Angular Natural Frequency Equations and Calculator
• Beam with one End Free and Other Fixed Angular Natural Frequency Equations and Calculator
• Beam with one End Free and Other Hinged Angular Natural Frequency Equations and Calculator
• Thin Flat Plates of Uniform Thickness Natural Frequency Equations and Calculator
• Massless Circular Plate With Concentrated Center Mass Clamped Edges Natural Frequency Equations and Calculator
• Massless Circular Plate With Concentrated Center Mass Simply Supported Edges Natural Frequency Equations and Calculator
• Compound Pendulum Angular Natural Frequency Equations and Calculator
• Sphere in Cylindrical Track Angular Natural Frequency Equations and Calculator
• Pneumatic System Angular Natural Frequency Equations and Calculator
• U-Tube With Liquid Angular Natural Frequency Equations and Calculator
• Flat Plate on Rotating Drums Angular Natural Frequency Equations and Calculator
• Tanks With Connecting Conduit Angular Natural Frequency Equations and Calculator
• Cylinder in Cylindrical Track Angular Natural Frequency Equations and Calculator

Machine Design and Engineering

• Angular Radial Contact Ball Bearings Static Load Rating Calculator
• Balancing Rotating Fixtures For Turning Operations on a Lathe Formulas and Calculator
• Ball Screw Design Equations and Selection Criteria Equations and Calculator
• Power Transmitted by Disk Clutch Formula and Calculator
• Power Screw Turning Moment and Axial Load Formulas and Calculator Turning Moment and Axial Load are related to each other through the following equation for advance against load (or raising the load).
• Bearing Fatigue Life Calculator #1
• Bearing Fatigue Life Calculator #2
• Braking Torque Equation and Calculator
• Band Brake Configuration #1 Force Equation and Calculator
• Belleville Spring Washer Equation and Calculator
• DFA Design for Assembly Complexity Index Calculator
• Simple Band Brake Configuration #2 Force Equation and Calculator
• Differential Band Brake Configuration #1 Force Equation and Calculator
• Differential Band Brake Configuration #2 Force Equation and Calculator
• Band Brake Design Equations
• Differential Band Brake Design Equation
• Centrifugal Force Capacity Retaining Snap Rings
• Centrifugal Force Equations and Calculator
• Centripetal Acceleration Equations and Calculator
• Countersink and Spot Drill Depth Formula and Calculator
• Uniform Circular Motion Formulas, Animation and Calculator Uniform circular motion. The moving object travels in a circular path. The magnitude of linear velocity, acceleration, and centripetal force stays constant, but their direction changes.
• Critical Speeds and Deflection of Rotating Shafts Equation and Calculator
• Critical Speeds of Rotating Shafts or Mass with Distributed Loads Formulas and Calculators
• Crossed Belt Friction Belt Drive Calculator
• Double Square-Thread Power Screw Axial Linear Lifting Force Equations and Calculator
• V-Belt Classical Speed to Horsepower Ratings Formulas and Calculator for Cross Sections
• Collar Bearing Pivot Friction Equation and Calculator
• Conical Pivot Friction Equation and Calculator
• Cone Cylinder Stress and Deflection by Uniform rotation, ω rad/s, about central axis Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Gasket Compression Fastener Spacing Design Equation Calculator
• Engineering Design Manufacturing Costs Calculator
• Machining Part Cost Estimator Excel Spreadsheet Calculator
• Marin Factors for Corrected Endurance Limit Fatigue The endurance limit (S'_e) determined using Eq. 2 that is established from fatigue tests on a standard test specimen must be modified for factors that will usually be different for an actual machine element.
• Injection Molding Plastic Part Cost Estimator Excel Spreadsheet Calculator
• Inclined Wedge Force and Friction Equation and Calculator
• Inclined Wedge Force and Friction Equation and Calculator #2
• Journal Bearing Hydrodynamic Lubrication Analysis Equation and Calculator
• Fatigue and Machine Design Excel Spreadsheet Calculator
• Flat Thrust Plate Bearing Design Equation and Calculator Fluid thrust bearings contain a number of sector-shaped pads, arranged in a circle around the shaft
• Tilting Pad Thrust Plate Bearing Design Equation and Calculator
• Tapered Land Thrust Plate Bearing Design Equation and Calculator
• Flywheel Mass, Size Design Equations and Calculator
• Forces to Pull Weight up Inclined Plane with and without Friction Equation and Calculator #3
• Forces to Pull Weight up Inclined Plane with and without Friction Equation and Calculator #4
• Petroff's Hydrodynamic Lubrication Formula and Calculator
• Shaft and Journal Pivot Friction Equation and Calculator
• Shaft Flat Pivot Friction Equation and Calculator
• Truncated Cone Friction Equation and Calculator
• Disk and Drum Brake Equations and Calculator
• Flat Belt Length Distance Calculator
• Inertial Energy and Angular Acceleration of a Flywheel Formula and Calculator Flywheels store and release the energy of rotation, called inertial energy. The primary purpose of a flywheel is to regulate the speed of a machine.
• Gear Motor and Transmission Inertia Estimator Calculator
• Gear Tooth Strength Calculator
• Gear Ratio Equations and Calculators (24 cases)
• Spur Gear Design Calculator Tool
• Spur Gear and Assembly Builder Spur Gear and Assembly Builder calculates and models individual Spur Gears and Gear assembly. File down loads available with Premium Account.
• Gear Design for Known Center Distance and Ratio Calculator and Equation
• Ratchet Type Gear Design Formulas and Calculator
• Involute Spline and Serration Universal Design Calculator
• Helical Gear and Pinion Calculator and Equations
• Helical Gear and Pinion Calculator and Equations
• Helix Gearing with Shafts at Any Angle, Center Distance Approximate Design Equations and Calculator
• Sprocket Pitch Diameter Formulas and Calculator The sprocket pitch diameter is an imaginary circle through which the chain pin centers move around the sprocket.
• Chain Length For Two Sprockets Formulas and Calculator It is sometimes necessary to fix the center-to-center distance of the sprockets to accommodate existing constraints or mechanical design considerations.
• Power Screw Buckling and Deflection Equations and Calculator
• Magnetic Lifting Force Equation and Calculator
• Power Screw Design Equations and Calculator
• Thick Wall Cylinder Press or Shrink Fits Interference and Pressure Equations and Calculator If two thick-walled cylinders are assembled by either a hot/cold shrinking or a mechanical press-fit, a pressure is developed at the interface between the two cylinders.
• Press Fit Engineering and Design Calculator
• Rolling Resistance Equation and Calculator
• Rough Estimating the Cost of Machined Parts Equations and Calculator
• Scissor Lift Jack Force Bottom Load Calculator
• Scissor Lift Jack Force Center Load Calculator
• Sliding Contact Bearing Efficiency on Supported Pulley
• Sling Lifting Capacity and Loading Calculator
• Solid Rigid Shaft to Shaft Couplings Design Equations and Calculator
• Step Thrust Plate Bearing Design Equation and Calculator
• Stresses in Rotating Disks (Annular Rings) of Constant Thickness Equation and Calculator
• Theoretical Minimum Assembly Part Efficiency Calculator This calculator is used to determine if the optimal number of parts are being used in an assembly.
• Tire Traction Breakaway Equation and Calculator
• Tire Traction Force Equation and Calculator
• Toggle Clamp Equal Length Arms Equations and Calculator
• Two Gear or Sprocket Speed and Gear Ratio Equation and Calculator
• Open Vehicle Forces Calculator
• Three Gears or Pulleys Force Calculations and Equations
• Large and Small Diameter Lifting Pulley / Drum Equation and Calculator
• Air Resistance Force to Vehicle Forward Motion Equation and Calculator
• Power Take-Off (PTO) on Transfer Case Rotational Speed Per Distance Traveled (meter) Equations and Calculators
• Rolling Resistance Force of Tire and Contacting Surface.
• Transmission Gear Ratio Equation and Calculator
• Vehicle Forces For Driving Up Slope Calculator
• Vehicle Speed on basis of engine rpm, tire size and gear ratios equations and calculator
• Vehicle Hill Climbing Gradability taking into Account Road Tire Adhesion Equation and Calculator
• Vehicle Turning Circle Design and Engineering Equations and Calculators
• Distance traveled on uphill or downhill gradients Equation and Calculator
• Rigid Draw Bar Trailers / Central Axle Trailers Loading Equations and Calculators
• Fifth Wheel Coupling Loading Equations and Calculators
• Weight and Balance Equation and Calculator Trailer
• Worm and Worm Gear Design Equations and Calculator
• Trailer Hitch Ball Coupler Size Equations and Calculators
• Adding Forces by the Parallelogram Resultant of Two Forces Equation and Calculator
• Vector Forces by the Parallelogram Resultant of Two Forces Equation and Calculator
• Vector Finding Two Concurrent Components of a Single Force Equation and Calculator, Case 1
• Finding Two Vector Concurrent Components of a Single Force Equation and Calculator, Case 2

Gear and Gear Train Systems Engineering and Design

• AGMA Worm and Spur Gear Design Equations and Calculators Worm gear sets are generally rated by their capacity to handle a particular level of input power, output power, or allowable torque at a particular speed for the input or output shaft.
• AGMA Worm Gear Equations For Rating Factors Calculators Values for the ratio correction factor, the velocity factor, and materials factors can be found from tables provided in the ANSI/AGMA 6034-B92 standard.
• AGMA Spur Gear Bending Stress Equation and Spread Sheet (1999) The AGMA* spur gear bending method can be viewed as a detailed refinement of the Lewis method.
• Automotive Transmission Gear Ratio Equation and Calculator Resultant vehicle speed at known engine rpm
• Ball Screw Design Equations and Selection Criteria A ball screw transforms rotational motion into transitional motion. As a result, the shaft is subject to loads:
• Centrifugal Force Calculations of Rotating Body When gear rotates about any axis other than one at its center of mass, it exerts an outward radial force called centrifugal force.
• Flywheel Mass, Size Design Equations and Calculator The torque-angle relationship for an engine or machine depends on the the amount of work required.
• Gear Pitch Conversions The following charts convert gear pitch dimensional data to the following: Diametral Pitch Module Circular Pitch
• Gear Equations, Calculators and Formula Spur Gear design formula for geometry, pitch, tooth clearance and critical functional data.
• Gears Spur and Helical Gears Calculation of Load Capacity
• Gear Tooth Strength Calculation and Equation Design guidelines for determining or estimating your required gear tooth strength.
• Gear Motor Transmission Inertia Drive Calculator and equations
• Hertz Gear Tooth Contact Stress Equation and Calculator The transfer of power between gears takes place at the contact between the acting teeth. The stresses at the contact point can be computed by means of the theory of Hertz.
• Helical Plastic Gears Rated Design Hp, Operating Stress Equations and Calculator
• Helical Gear and Pinion Calculator and Equations This calculator will determine the following design variables for a gear and pinion.
• Plastic Straight Bevel Gears Rated Design Hp, Operating Stress Equations and Calculator
• Helical Gear and Pinion Calculator and Equations This calculator will determine the following design variables for a gear and pinion.
  Helical Plastic Gears Rated Design Hp, Operating Stress Equations and Calculator
• Helical Gears Shafts Parallel, Center Distance Exact Design Equations and Calculator
• Helical Gears Shafts Parallel, Center Distance Approximate Design Equations and Calculator
• Helical Gears Shafts at Right Angles Design Equations and Calculator
• Involute Spline per ANSI B92.1 Equations These splines or multiple keys are similar in form to internal and external involute gears.
• Involute Spline and Serration Universal Design Calculator Involute Spline and Serration Design Calculator for the following engineering standards:
• Involute Gear Design Equations and Calculator Equations and engineering design calculator to determine critical design dimensions and features for an involute gear
• Lewis Factor Equation Lewis factor Equation is derived by treating the tooth as a simple cantilever and with tooth contact occurring at the tip as shown above.
• Phenolic Laminated Gears Stress Design Formulas and Calculator
• Keyway Stresses for Non-metallic (phenolic laminated materials ) Gears Formulas and Calculator
• Power Screw Design Equations and Calculator
• Gear Ratio Equations and Calculators of Planetary or Epicyclic Gear Assemblies Gear Ratio Equations and Calculators
• Screw Gear Axial Force Calculation Axial thrust or load applied per the applied on a screw (worm gear) thread calculate the axial thrust of a nut.
• Sleeve Shaft Coupling Design Equations and Calculator and Equations
• Spline Engineering Design Formula ISO 5480standard applies to splined connections with involute splines based on reference diameters for connecting hubs and shafts..
• Spur Gear Design Calculator Tool Equation and calculator to determine spur gear design details
• Spur Gears Force Analysis Equation and Calculator
• Synchronous Timing Belt Torque Rating Equation and Calculator per. ANSI RMA IP-24 for small pitch MXL section belts
• Synchronous Timing Belt Horsepower Rating Equation and Calculator per. ANSI RMA IP-24
• Three Gears Ratios, Force Equations and Calculator
• Gear Design for Known Center Distance and Ratio Calculator and Equation
• Worm and Worm Gear Design Equations and Calculator
• Worm Gear Sizing Equations and Calculator

Heat Transfer Engineering

• Forced Air Flow Convection Cooling. Fan Air Flow Required for Heat Sinking Formulas and Calculator.
• Constant-Pressure Oxidation of Propane in Air Excel Spreadsheet Calculator
• Convective Heat Transfer Convection Equation and Calculator
• Vertical Parallel Plates Channel Natural Convection Equation and Calculator
• Round Duct Heat Transfer Coefficient and Wall Temperature Equation and Calculator
• Compression Tension Stress Linear Thermal Expansion Equation and Calculator
• Heat Loss Through Enclosure Walls Equations and Calculations
• Heat Loss from a Pipe
• Heat Loss through a Insulated Pipe Equation and Calculator
• Convection of Known Surface Area Calculator
• Vertical Plate Natural Convection Equation and Calculator
• Heat Sink Convection with Fins Calculator
• Isothermal Square Rod Forced Air Convection Equation and Calculator
• Isothermal Circular Rod Forced Air Convection Equation and Calculator
• Forced Convection Heat Transfer Printed Circuit board with Components Equation
• Forced Convection Entry Region Circular Pipe / Tube Equation and Calculator
• Natural Convection of a Horizontal Concentric Cylinders Equation and Calculator
• Flat Plate heat transfer coefficient and heat convection equation and calculator
• Natural Convection of a Horizontal Cylinder Equation and Calculator
• Selecting a Heat Sink for a Transistor Equation and Calculator
• Overall Coefficient of Heat Transfer of a Refrigerated Space Formulas and Calculator
• Heat Conduction through a Wall Equation and Calculator
• Counter & Parallel Flow Heat Exchanger Calculator
• Heating Capacity of a Radiator Formula and Calculator
• Heat Loss from a Ducts Equations and Calculator
• Heat Radiation of a Surface Calculator
• Heat Loss Through Enclosure Walls Equations and Calculator
• Heat Loss Through a Wall Equation and Calculator
• Heat Loss From an Insulated Electric Wire Equation and Calculator
• HVAC Heating, Ventilation and Air Conditioning Load Calculator - Membership required to download
• HVAC Air Handling Unit Design Excel Calculator
• Heat Gain or Loss HVAC Duct ASHRAE Formula and Calculator. All HVAC ducts exposed to outdoor conditions, as well as those passing through unconditioned or semiconditioned spaces, should be insulated.
• Maximum Power Dissipation of a Transistor Equation and Calculator
• Linear Thermal Expansion Equation and Calculator
• Heat Loss through Aluminum Framed Window Equations and Calculator
• Heat Loss through a Single-Pane Window Equation and Calculator
• Heat Loss through a Double-Pane Window Equation and Calculator
• Isothermal cylinder of length L buried in a semi-infinite medium calculator
• Conductive Heat Transfer Parallel Cylinders Equation and Calculator
• Conductive Heat Transfer Cylinder of Length Equation and Calculator
• Conductive Heat Transfer Square Solid Equation and Calculator
• Conductive Heat Transfer Eccentric Cylinder Equation and Calculator
• Conductive Heat Transfer Large Plane Equation and Calculator
• Conductive Heat Transfer of a Cylindrical Pipe or Layer Equation and Calculator
• Conductive Heat Transfer of a Spherical Layer Equation and Calculator
• Conductive Heat Transfer of a Disk buried parallel to the surface
• Conductive Heat Transfer of the edge of two adjoining walls of equal thickness
• Conductive Heat Transfer Corner of three walls equal thickness equation and calculator
• Conductive Heat Transfer Isothermal sphere buried medium equation and calculator
• Conductive Heat Transfer of a Isothermal sphere buried in a semi-infinite medium at T₂ whose surface is insulated
• Mean Radiant Temperature Formula and Calculator This is the uniform temperature of an imaginary black enclosure in which an occupant would exchange the same amount of radiant heat as in the actual nonuniform enclosure.
• Radiant Heat Exchange Parallel Flat Black Plates of Equal Size equation and calculator. 
• Radiant heat exchange for two parallel flat black plates of different sizes equation and calculator.
• Radiant heat exchange for two parallel disks same size equations and calculator
• Radiant heat exchange for two perpendicular surfaces same size equation and calculator
• Steady State Conduction Multilayer Isothermal Walls Formulas and Calculator
• Steady State Conduction Multilayer cylinder Calculator
• Thermal Conductivity Conversions Calculator
• Transmissivities, Emissivities, Spectral Absorption Coefficients, Total Emission and Planck mean absorption coefficients Excel Spreadsheet Calculator
• H₂O, CO₂ emissivities, absorptivities, Planck mean absorption coefficients and net emission Excel Spreadsheet Calculator
• Radiative Fluxes Spectrally Reflecting Gray Surfaces Excel Spreadsheet Calculator
• Unsteady 2D conduction heat transfer including heat generation, convection or temperature boundary conditions Excel Spreadsheet Calculator
• Ideal and non-ideal performance of turbojet, turbofan and ramjet engines excel spreadsheet calculator
• Time to Freeze Outdoor / Indoor Piping Formulas and Calculator ASHRAE
• Steady-State Indoor Air Quality Concentrations, Review, Formulas and Calculator

• 555 IC Timer Monostable and Astable Design Calculator
• Arc Flash Calculator per. NFPA 70E Calculator Excel Spreadsheet
• Bloom Filter Calculator False positive matches are possible, but false negatives are not – in other words, a query returns either "possibly in set" or "definitely not in set". Elements can be added to the set, but not removed (though this can be addressed with the counting Bloom filter variant); the more items added, the larger the probability of false positives.
• NCP1611 Generator Frequency Calculator Excel Spreadsheet
• NCP108x, Flyback CCM, Design Calculator Excel Spreadsheet
• Bandwidth Limiting Calculator Excel Spread Sheet
• Capacitance Discharge Calculator
• CMOS Schmidt Trigger Oscillator Calculator Excel Spreadsheet
• Decibel Tables Calculator Excel Spreadsheet
• Electronic Circuit Modeler, Simulator and Calculator
• Equally Tempered Scale Frequencies Calculator Excel Spread Sheet
• Inductance of Coil Calculator
• Inverting Op-Amp Gain Table Calculator Excel Spread Sheet
• Linear Circuit Source Calculator Excel Spreadsheet
• Ohms Law Equation and Calculator
• Op-Amp Gain Design Equation and Calculator
• Potentiometer Equation and Calculator
• Graphical Resistor Calculator is a Software to easily calculate the resistance of registers from the band colors.
• Resistors in Parallel Equation and Calculator
• Simple AC Circuits Simulation and Calculator
• Multiple Feedback Band Pass Filter Calculator Excel Spread Sheet
• NE566 Function Generator Frequency Calculator Excel Spread Sheet
• NE570 VCA Output Biasing Calculator Excel Spreadsheet
• Schmitt Trigger Equations and Calculator
• Series & Parallel LED Design Calculator
• Wheatstone Bridge Analysis and Calculator
• Wire Voltage Drop Calculator
• Voltage Divider for 5% Resistors Calculator Excel Spreadsheet
• Voltage Summing of Three Resistors Equation and Calculator
• XR-2206 Function Generator Frequency Calculator Excel Spreadsheet
• Zener Diode, Power Transistor on Heat Sink Calculator
• Zener Diode and Resistor Voltage Regulator Design Calculator

IEEE 1584-2018 Equations and Calculators

• Bolt Circle Coordinate Plot & Calculator
• Brinell Hardness Test Equations, Calculators and Review The Brinell hardness test uses a hardened steel ball indenter that is pushed into the material under a specified force.
• Machining Feeds and Speeds Calculator
• Force for Press Brake to Bend or Form Sheet Metal Calculator
• Punching Holes in Plate Stress Equations and Calculator
• Vickers Hardness Testing Formulas, Calculator and Review

Simple Mechanical Levers Calculators

• Lever Case #1 Force Unknown
• Lever Case #2 Distance Unknown
• Lever Case #3 Force Unknown
• Lever Case #4 Distance Unknown
• Simple lever with weight between fulcrum and lifting force equations and calculators.
• Simple lever with multiple weights outside fulcrum equations and calculators.

Spring Design and Engineering

• Axial Tension or Compression Springs Stiffness Constant Equations and Calculator
• Bending Applied Spring Stiffness Constant Equations and Calculator
• Preferred Sizes for Spring Materials, Wire, Strip, and Bars.
• Morrison's Spring Tables Design Reference Premium Membership Required to view Document/Book
• Typical Modulus of Elasticity of Spring Materials used in Torsion and Tension
• Belleville Spring Washer
• Design Equations of Belleville Washer Springs Premium Membership required
• Coil Spring
• Compression Spring Calculator
• Compression Spring "k" Constant Calculator
• Compression Spring Assembly Operating Life and Reliability Equations and Calculator
• Conical Helical Compression Spring Design Equations and Calculator
• Constant Force Spring Design & Equations
• Helical Compression Springs Engineering and Design
• Extension Spring "k" Constant Calculator
• Extension Spring Calculator
• Extension Spring Normal Load Tolerances load / force Specifications
• Springs Made from Flat Rectangular Cold Rolled Strip Stock Design and Equations Premium Memebrship Required Document
• Flat spring supported on both ends design equations and calculator
• Flat spring cantilevered design equations and calculator
• Flat spring cantilevered design triangular geometry equations and calculator
• Helical Extension Springs Engineering and Design
  Design and Calculation for Springs Made From Circular Section Wire and Bar Premium Membership Required to view Document/Book
• Helical Compression Spring Critical Frequency Formula and Calculator Helical springs, such as those used in the valve trains of internal combustion engines, can fail if the frequency of loading coincides with the natural, or critical, frequency of the spring, called resonance.
• Helical Spring Fatigue Loading and Factor of Safety Formula and Calculator Rarely are helical springs not subjected to fatigue loading. The number of cycles may only be in hundreds or thousands, but usually they must be designed for millions and millions of cycles such that an infinite life is desired.
• Mechanical Engineers Pocket Book Premium Membership Required to view Document/Book
• Parallel Springs Stiffness Constant Equations and Calculator
• Series and Parallel Spring Rate Formula and Calculator
• Series and Parallel Mounted Springs Stiffness Constant Equations and Calculator
• Tapered Flat spring cantilevered design equations and calculator
• Torsion Spring Calculator
• Torsion Applied Spring Stiffness Constant Equations and Calculator
• Coil-Diameter Tolerances of Torsion Springs Specifications
• Series Mounted Springs Stiffness Constant Equations and Calculator
• Spring Helix Wire Length Formula and Calculator
• Spring Properties and Material
• Spring Terminology
• Springs Made From Rectangular Section Bar Steel Design and Calculations
• Stresses in Helical Springs Produced by Shocks Formulas and Calculator
• Torsion Spring Arc Length Formula and Calculator

Friction Equations and Analysis

• Shaft and Journal Pivot Friction Equation and Calculator
• Conical Pivot Friction Equation and Calculator
• Shaft Flat Pivot Friction Equation and Calculator
• Collar Bearing Pivot Friction Equation and Calculator
• Truncated Cone Friction Equation and Calculator

Civil Engineering

• Assembly Tolerance Analysis Calculator
• Bolt Spacing Tolerance Analysis Formula and Calculator
• Concentricity Calculator ASME Y14.5-2009
• Gage Tolerance Calculator ASME B89.1.5 Pin and Ring Gauges
• Maximum Material Size MMC vs Feature Size Tolerance Chart Tool Calculator
• Hole Feature Maximum Material Condition MMC vs Feature Size Tolerance Chart Calculator
• Shaft Diameter Maximum Material Condition MMC vs Feature Size Tolerance Chart Calculator
• Tolerance Calculator Floating Fastener Condition
• Tolerance Calculator Fixed Fastener Condition
• Tolerance Calculator Projected Tolerance Zone
• Tolerance Calculator 2 Mating Features @ MMC
• Tolerance Calculator 3 Mating Features @MMC
• Tolerance Calculator - True Position
• Tolerance Calculator - Spherical True Position
• Hole / Feature Pattern Plot
• Standard Deviation Equation and Calculator
• Measuring Large Bolt Circle Equations and Review
• Measuring Large Bolt Circle Even Number of Holes Calculator
• Measuring Large Bolt Circle Even Number of Holes Calculator #2
• Measuring Large Bolt Circle Odd Number of Holes Calculator #3
• Bolt Circle Coordinate Plot & Calculator
• Pipe and Compression Coupling Tolerance Analysis Equations and Calculators
• Table of Hole Bore Tolerances per. ISO 286 Calculator
• Table of Shaft Tolerances per. ISO 286 Calculator
• Sample Size Calculator for Prevalence Studies
• Stud Projection Tolerance Boundary Analysis Feature of Size Offset Equation and Calculator
• Sphericity of a Sphere Formulas and Calculator Sphericity is, naturally, a measure of how spherical an object is. Defined by Wadell in 1932, the sphericity ψ of a particle is the ratio of the surface area of a sphere with the same volume as the given spherical particle to the surface area of the particle.
• Tolerance Analysis Linear Offset Two Pins and Strap Equations and Calculator

Motion Control Design

• Heat Gain from Motors and their Loads Formula and Calculator Instantaneous rate of heat gain from equipment operated by electric motors within a space.
• Electric Motor Time to Start Calculator
• Electric Motor Running Torque Calculator
• Design of Square Key and Keyway Equations and Calculator
• Motor Accelerating Torque Calculator
• Motor Solid Cylinder Force and Torque Calculator
• Motor Hollow Cylinder Torque, Force Calculator
• Motor Driving Conveyor Torque, Force Calculator
• Motor Driving Speed Reducer (Gear, Belt, or Chain) Torque, Force Calculator
• Efficiency Calculation of Sliding Contact Bearing Supported Pulley
• Toothed Pulley Center Distance Calculator
• Sprocket Center Distance for a Roller Chain of known Length Equation and Calculator

Pressure Vessel & Cylindrical Shape Structure Design and Engineering Equations and Calculators

• Cylindrical Pressure Vessel Uniform Axial Load Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Cylindrical Pressure Vessel Uniform Radial Load Equation and Calculator. Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels.
• Cylindrical Pressure Vessel Uniform Internal or External Pressure, Ends Capped Equation and Calculator. Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels.
• Cylinder Linearly Varying Radial Pressure Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Cylinder Stress and Deflection by Own Weight Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Cylinder Stress and Deflection Uniform rotation, ω rad/sec about central axis Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Cone Cylinder Stress and Deflection Filled to Depth with Liquid Tangential Edge Support Equation and Calculator. Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels
• Cone Cylinder Stress and Deflection due to own weight at tangential top edge support Equation and Calculator. Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels.
• Cone Cylinder Stress and Deflection by Tangential loading only; resultant load = P. Equation and Calculator. Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels.
• Truncated Cone Cylinder Stress and Deflection by Uniform loading on the horizontal projected area; tangential top edge support. Equation and Calculator. Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels.
• Spherical Cylinder Stress and Deflection by Uniform internal or external pressure, q force/unit area; tangential edge support Equation and Calculator. Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels.
• Spherical Cylinder Stress and Deflection Filled to depth d with liquid of density d force/unit volume; tangential edge support Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Spherical Cylinder Stress and Deflection Own weight, δ force/unit volume; tangential top edge support Equation and Calculator. Per. Roarks Formulas for Stress and Strain
• Spherical Cylinder Stress and Deflection Tangential loading only; resultant load = P Equation and Calculator. Per. Roarks Formulas for Stress and Strain for membrane stresses
• Spherical Cylinder Stress and Deflection Uniform loading, w force/unit area; on the horizontal projected area; tangential top edge support Equation and Calculator. Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels.
• Thin Walled Sphere Stress Pressure Vessel Equations and Calculator: Thin-walled vessels are typically either spherical or cylindrical. Other geometries are possible, but their complexity precludes their inclusion in this webpage.
• Thick Walled Cylinder Stress Pressure Vessel Equations and Calculator Thick-walled cylinders have application in all sorts of machine elements and will be the basis for the presentation for shrink or press fits.
• Thick Walled Cylinder Stress Pressure Vessel Equations and Calculator Thick-walled cylinders have application in all sorts of machine elements and will be the basis for the presentation for shrink or press fits.
• Interference Pressure Mechanical Tolerances Variability Equations and Calculator
• Any smooth figure of revolution if R₂ is less than infinity Uniform internal or external pressure, q force/unit area; tangential edge support Stress and Deflection Equation and Calculator. Per. Roarks Formulas for Stress and Strain for membrane stresses and deformations in thin-walled pressure vessels.
• Any smooth figure of revolution if R₂ is less than infinity Stress and Deflection Equation and Calculator. Filled to depth d with liquid of density δ force / unit volume; tangential edge support. W = weight of liquid contained to a depth y.
• Any smooth figure of revolution if R₂ is less than infinity Stress and Deflection Equation and Calculator. Own weight, δ force/unit volume; tangential top edge support. W = weight of vessel below the level y.
• Any smooth figure of revolution if R₂ is less than infinity Stress and Deflection Equation and Calculator. Tangential Loading Only, resultant load = P, Per. Roarks Formulas for Stress and Strain
• Any smooth figure of revolution if R₂ is less than infinity Stress and Deflection Equation and Calculator. Uniform loading, w force/unit area, on the horizontal projected area; tangential top edge support Per. Roarks Formulas for Stress and Strain
• Boiler Tubes Thickness Pressure Equation and Calculator
• Piping, Drums, and Headers Pressure and Wall Thickness Equations and Calculator
• Pressure Vessel Cone Geometry Design Calculator
• Pressure Vessel Nozzle Design Tool Calculator
• Dished Heads Equations and Calculator
• Dished Hemispherical, Elliptical Head Formulae Equations and Calculator ASME Pressure Vessel Section I
• Full-Hemispherical Head Calculator ASME Pressure Vessel Section I
• Pressure Vessel Torispherical Head Wall and Pressure Calculator
• Pressure Vessel Flanged Dish Head Design Tool Calculator
• Pressure Vessel Elliptical Head Design
• Thickness of Circumferential Shells Under Internal Pressure
• Thickness of Longitudinal Stressed Shells Under Internal Pressure
• Longitudinal Stress (Circumferential Joints)
• Thickness of Ellipsoidal Head Under Internal Pressure
• Thin Cylindrical Shells: Equations and Calculator ASME Pressure Vessel Code
• Thick Cylindrical Shells Equations and Calculator ASME SECTION VIII
• Buckling of Cylinder Plate Equations and Calculation
• Pipe Shell Design Calculator Pressure Vessel
• Reinforcement Pressure Vessel Wall Thickness Plate Equations and Calculator ASME Pressure Vessel Section VIII
• Propane Tank Dimensional and Volume Data Calculator
• Standard Size Steel Pipe Weights Calculator
• Extra Strong (XS) Size Steel Pipe Weights Calculator
• Double Extra Strong(XXS) Size Steel Pipe Weights Calculator
• Pressure Piping Minimum Wall Thickness Equations and Calculator ASME I and ASME-ANSI B31
• Floating Head Exchanger Design Spreadsheet Calculator Pressure Vessel AES Type
• Storage Tank Design Spreadsheet Calculator per. API 650
• Tube Sheet Design Spreadsheet Calculator per. API 650
• Pressure vessel Flange Check Design Spreadsheet Calculator per. ASME Section VIII Div. 1 & TEMA 9th Edition
• Cylindrical Shell Internal and External Pressure Vessel Spreadsheet Calculator
• Pressure Vessel Skirt Support for Vertical Column Design Spreadsheet Calculator
• Lifting Lug Design Spreadsheet Calculator
• Collar Bolt Flange Pressure Vessel Spreadsheet Calculator

Fluids

• 3-Stage Propane Refrigeration System Performance Prediction Excel Spreadsheet Calculator
• Actual Contaminated Firewater Volume Excel Spreadsheet Calculator
• Aerodynamic Drag Equation and Calculator
• Air Flow Drag Coefficients, Equation and Calculators
• Air Density and Specific Weight Equations and Calculator
• API Separator Sizing Macro-Enabled Excel Spreadsheet Calculator
• Buoyant Force in Liquids Animation and Calculator
• Pressurized Gas Blowout Time Pipeline Excel Spreadsheet Calculator
  Mass Flow Rate for Gas Pipeline Blowdown through Hole or Orifice Excel Spreadsheet Calculator
• Contaminated Waste Firewater Volume Excel Spreadsheet Calculator
• Convergent Nozzle Flow Velocity and Area Equation and Calculator
• Convergent-Divergent Nozzle Flow Velocity and Area Equation and Calculator
• Discharge of Air Through An Orifice Equation and Calculator
• Fluid Flow Discharge Time under Falling Head Formula and Calculator
• Draining Time for Horizontal Tank Formulas and Calculator
• Draining Time for Spherical (Sphere) Tank Formulas and Calculator
• Draining Time for Vertical Tank Formulas and Calculator
• Draining Time for Spherical (Sphere) Tank Formulas and Calculator
• Flow of Air in Pipes Equation and Calculator
• Flow of Compressed Air in Pipes Equation and Calculator
• Flow of Water in Pipes Equations and Calculator
• Fluid Control Valve Size Excel Spreadsheet Calculator
• Fluid Flow Open Channel Calculator
• Head loss in a Pipe Calculator
• Head Changes Caused by Pipe Size Enlargement Formula and Calculator
• Head Changes Caused by Pipe Size Sudden Reduction Formula and Calculator
• Hydraulic Accumulator Sizing Equations and Calculator Most accumulators used within industry are limited to an operating pressure of 3000 psi. Accumulators are available which operate at higher pressures.
• Knudsen Number (Kn) Equation and Calculator
• Natural Gas Pipe Flow Rate Requirement Formulas and Calculator
• Nozzle, Venturi and Orifice Flowmeter Formula and Calculator Flow in a pipeline can be measured by a venturi meter, flow nozzle, or orifice plate.
• Vacuum Pressure Units Conversion From Torr to Various Units Calculator
• Vacuum Mean Gas Velocity Equations and Calculator
• Ovality (Roundness) of a Tube or Pipe Formulas and Calculator
• Partially Full Pipe Flow Calculator
• Pipe Thermal Expansion U Shape Loop Equations and Calculator for Pipe
• Pipe Flow & Friction Factor Calculator
• Pressure Loss Basket Tee Style Strainers Excel Spreadsheet Calculator
• Pump Sizing Design Calculations Excel Spreadsheet Calculator Premium Membership Required
• Hazen-Williams Water Pressure Drop Flow Rates Calculator Equation
• Head Loss at Pipe Entrance Equations and Calculator
• Head Loss at Pipe Abrupt Exit Equations and Calculator
• Head loss and head loss coefficient equation and calculator of a fluid in across a screen (circular metal wire mesh) inside a pipe.
• Heat Loss Insulated Pipe Equation and Calculator
• Heat Loss or Gain From Pipe Excel Spreadsheet Calculator
• Heat Loss From a Pipe Calculator
• Head coefficient and head loss across angled louvers inside a pipe equation and calculator.
• High Density Polyethylene (HDPE) Liners For Steel Pipe Excel Spreadsheet Calculator
• Horsepower Required to Compress Air Adiabatically and Isothermally
• Hydrostatic Discharge of Liquid From Vessel Side / Lateral Equations and Calculator
• Hydrostatic Discharge of Liquid From Vessel Bottom Equations and Calculator
• Vessel With Pressure Applied to Liquid Level Equations and Calculator
• Hydraulic Pneumatic Cylinder Extend Force
• Hydraulic Pneumatic Cylinder Retract Force
• Poiseuille's Law Formula and Calculator The relationship between pressure and continuous laminar flow of fluid in a rigid tube is described by Poiseuille's law, which states that the flow rate of a fluid, Q, is directly proportional to the pressure difference, along the length of the tube and the fourth power of the radius of the tube, and inversely proportional to the tube length, and fluid viscosity.
• Pressure Relief Devices Sizing Macro Excel Spreadsheet Calculator
• Rainfall Intensity and Peak Storm Water Runoff Rate Equations and Calculator
• Siphon Flow Rate from Small Pipes Equation and Calculator
• Slug Length and Slug Volume Pipeline Flow Excel Spreadsheet Calculator
• Standard Atmospheric Data for Altitude and Temperature The standard atmosphere gives a standard of reference for estimating properties at various altitudes.
• Static Temperature Versus Total Temperature Formula and Calculator When a fluid stream impinges on a temperature-sensing element such as a thermometer or thermocouple, the element is at a temperature greater than the true stream temperature.
• Storage Tank Baffle Design Excel Spreadsheet Calculator
• Thermal Relief Load and Pressure Excel Spreadsheet Calculator
• O-Ring Leak Rate Equation and Calculator
• Poppet Seal Gasket Oring Operating Life and Reliability Equations and Calculator
• Thermal Molecular Velocity of Gas Molecules Vacuum System Formulas and Calculator
• Velocity of Escaping Compressed Air Equation and Calculator
• Vertical Storage Tank Selection Excel Spreadsheet Calculator
• Viscous Torque and Power on Rotating Shafts Equation and Calculator
• Water Hammer Pressure Spike Equations and Calculator
• Water Hammer Accumulator Sizing Excel Spreadsheet Calculator

Sheet Metal Bend Allowance

• Distance Bend to Mold Line
• Bend Allowance

Plastic Snap Fit

• Snap Fit Straight Finger Strain
• Snap Fit Tapered Finger Strain
• Tapered Snap Fit Beam Bending Equation and Calculator
• Plastic Post and Hub Press Fit Equations / Calculator
• Plastic Screw Design Equations and Calculator Theoretical equations to calculate the strength of plastic screwed joints.

Conversions, Fluids, Torque, General

• Acceleration Conversion - Equivalent
• Angle Conversion Calculator
• Binary to Decimal Conversion Calculator
• Binary to Hexadecimal Conversion Calculator
• Binary to Octal Conversion Calculator
• Concrete Volume Estimator Calculator Slab
• Concrete Volume Estimator Calculator Column
• Energy To Work Conversion - Equivalent
• Fractions Calculator
• Hexadecimal to Binary Conversion Calculator
• Hexadecimal to Decimal Conversion Calculator
• Hexadecimal to Octal Conversion Calculator
• Length Conversion - Equivalent
• Mass Conversion - Equivalent
• Octal to Binary Conversion Calculator
• Octal to Decimal Conversion Calculator and Table
• Octal to Hexadecimal Conversion Calculator and Table
• Power Conversion - Equivalent
• Pressure Conversion - Equivalent
• Temperature Conversion - Equivalent
• Time Conversion - Equivalent
• Metrology Conversion - Equivalent
• Scientific Calculator
• Area, Triangle, Square, Circle etc.
• Fluids Flow, Aerodynamics
• Automotive Horsepower
• Kinetic Energy
• Velocity Conversion - Equivalent
• Minutes, Seconds & Decimals Convert
• Volume
• Cube Volume Equations and Calculator
• Square Prism Volume Equations and Calculator
• Cylinder Volume and Surface Area Equation and Calculator
• Hollow Cylinder Volume Equation and Calculator
• Cone Volume and Area Equation and Calculator
• Frustum of Cone Volume and Area Equation and Calculator
• Sphere Volume and Area Equation and Calculator
• Spherical Sector Area, Volume Equation and Calculator
• Spherical Segment Volume and Area Equation and Calculator
• Spherical Zone Volume and Area Equation and Calculator
• Spherical Wedge Volume and Area Calculator and Equation
• Hollow Sphere Volume Equation and Calculator
• Torus Volume and Area Equation and Calculator
• Pipe Strength
• Wind Chill
• Assembly Mass Estimate Worksheet
• Thermal Conductivity Conversions Calculator

Triangle / Trigonometry Solutions

• Triangle Solutions Menu
• Sides b and c Known
• Side c and Angle B Known
• Sides a and b Known
• Sides a and c Known
• Side a and Angle B Known
• Side a and Angle A Known
• Side c and Angle A Known
• Side b and Angle B Known
• Side b and Angle A Known
• Oblique Triangle Solutions Calculator
• Right Triangle Solutions Calculator

Financial & Misc.

• Automation and Manufacturing Investment Economic Analysis, Formulas and Calculator
• Compound Annual Growth Rate CAGR Formula and Calculator
• Capital Recovery Factors Formula and Calculator The future equal payments to repay a present value of money is determined by the capital recovery factor, which is the reciprocal of the present worth factor for a series of equal payments.
• Cost of Ownership vs Buy Calculator
• Bessel Y Function Calculator
• Body Mass Index BMI Calculator
• Buy vs Lease a Car Calculator
• Taylor Rule Equation and Calculator The Taylor Rule, which is a simple formula that John Taylor devised to guide policymakers.
• Life Cycle Costs Formula and Calculator A representation in present dollars of the cost of an investment over its lifetime is useful for evaluating mutually exclusive alternatives that have the same anticipated lifetime.
• Meeting Cost Calculator - How does the estimate work? We calculate the average hourly cost of each attendee and multiply it by the number of attendees and the duration of the meeting. You can help make the estimate more accurate by..
• Mortgage
• Credit Card Debt
• Compound Interest
• Stock Value Profit and loss Calculator
• Simple Stock Short Selling Profit and Loss Calculator
• Simple Percentages Calculator
• Percent Error Calculator
• Percent Difference Calculator
• Vehicle Car Loan Equation and Calculator

Welding Design and Engineering Data Calculators Main Menu

• Weld Fatigue Life Analysis of Welded Structures Spreadsheet Calculator
• Axial Load Full Penetration Weld Calculator
• Axial Normal Load Partial Penetration Weld Calculator
• Tee Section Load Full Penetration Weld Stress Calculator
• Tee Section Load Full Penetration Weld Moment Loading Applied Stress Calculator
• Tee Section Load Full Penetration Weld Perpendicular Loading Applied Stress Calculator
• Butt Weld Bending Moment Load Full Penetration Weld Stress Stress Calculator
• Partial Penetration Weld Bending Moment Weld Stress Calculator
• Tee Section Load Partial Penetration Weld Perpendicular Loading Applied Stress Calculator
• Tee Section Loaded Partial Penetration Weld Bending Moment Applied Stress Calculator
• Stress created for a Partial Penetration Weld Load Perpendicularity Weld Stress
• Stress created for the three plate splice configuration weld equals plate thickness
• Two Plate Weld Axial Load Weld Stress Calculator
• Stress created for the two plate parallel weld configuration calculator
• Stress created for the two plate perpendicular weld configuration Calculator
• Stress lap plate perpendicular weld configuration calculator
• Three Lap Plate Weld Axial Load Parallel Weld Stress Calculator
• Plate "L" Section Weld Stress Calculator
• Weld Shear Stress for Applied Torque on Solid Shaft Calculator
• Weld Shear Stress for Applied Bending Moment on Solid Shaft Calculator
• Weld Shear Stress for Applied Bending Moment on Rectangular Square Shaft Calculator
• Weld Shear Stress for Applied Bending Moment on Rectangular Beam Calculator
• Weld Shear Stress for Applied Bending Moment on Rectangular Beam Calculator
• Weld Shear Stress for Applied Bending Force on Rectangular Beam Calculator
• Weld Stress for Bending Moment Applied Rectangular Beam Calculator
• Weld Stress for Load Applied to Rectangular Beam Calculator
• Weld Stress for Moment Applied to Rectangular Beam Calculator
• Weld Stress for Load Applied to Rectangular Beam Calculator
• Weld Stress for Moment Applied to Rectangular Beam Calculator
• Weld Stress for Moment Applied to Rectangular Beam Calculator
• Weld Stress for Load Applied to Rectangular Beam Calculator
• Weld Stress for Bending Moment Applied to Rectangular Beam Calculator
• Weld Stress for Splice Plate Beam Calculator
• Welding Splice Design of Beam Spreadsheet Calculator
• Weld Weight and Area Spreadsheet Calculator Calculations for Double V, Single V, Compound V, Backing Strip and J groove weld weight and area.

Engineering Physics

• Gravity Two Body in Space Animation and Calculator
• Motion with Constant Acceleration Animation and Calculator
• Least Square Fitting Algorithm to Fit a Polynomial Curve to a Data Set Calculator and Graphing Tool
• Magnus Effect Calculator and Formula for Ball The Magnus effect is the observed effect in which a spinning ball curves away from its principal flight path.
• Method for Calculating Acceleration of Gravity Using a Bouncy Ball Equation and Calculator
• Gravitational Time Dilation for Object (GPS Satellite) in Orbit Equation and Calculator
• Velocity Time Dilation for Object Equation and Calculator
• Resolution of a Force into Vector Components Animation and Calculator
• Prism Refraction Index from Minimum Angle of Deviation Equations and Calculator
• Ray Light Optics Simulation and Calculator
• Converting Sound Power to Sound Pressure Formulas and Calculator - Designers are often required to use sound power level information of a source to predict the sound pressure level at a given location.
• Water Vapor Saturation Pressure Formulas and Calculator Increasing temperature of liquid (or any substance) enhances its evaporation that results in the increase of vapor pressure over the liquid.
• Vapor Saturation Pressure Over Ice Formulas and Calculator The saturation (sublimation) pressure over ice for the temperature range of –148 to 32°F
• Sun Position Solar Details Calculator