Beam Deflection Calculator and Stress Equations for Continuous Beam, with Two Equal Spans, Uniform Load
Beam Deflection and Stress Formula and Calculators
Area Moment of Inertia Equations & Calculators
Structural Beam Deflection, Stress, Bending Equations and calculator for a Continuous Beam, with Two Equal Spans, Uniform Load.
Beam Section Modulus Z
Z = I/c
I = Moment of inertia Cross Section : Units in4 (m4)
z = Distance neutral axis to extreme fiber: Units in (m)
General Beam Stress at any Given Point
Open: General Stress at any Given Point Calculator
Beam Deflection at any Point
Open: Deflection any Given Point Calculator
Critical Beam Deflections
Where:
| E = | Modulus of Elasticity | psi | (N/mm2) |
| I = | Moment of Inertia | in4 | (mm4) |
| W = | Beam Load | lbs | (N) |
| s = | Beam Stress at the cross-section being evaluated | Lbs/in2 | (N/mm2) |
| y = | Beam Deflection | inches | (mm) |
| x = | Some distance as indicated | inches | (mm) |
| u = | Some distance as indicated | inches | (mm) |
| a, b = | Some distance as indicated | inches | (mm) |
| L = | Some distance as indicated | inches | (mm) |
| l = | Some distance as indicated | inches | (mm) |
Z = |
section modulus of the cross-section of the beam = I/z | in3 | (mm3) |
z = |
distance from neutral axis to extreme fiber (edge) | inches | (mm) |
- Please note letter "l " (lower case "L") is different than "I" (Moment of Inertia).
- Deflections apply only to constant cross sections along entire length.
References:
- Any Machinery's Handbook published since 1931 or,
- Machinery's Handbook, 21st Edition
- Machinery's Handbook, 23st Edition
- Machinery's Handbook, 27st Edition
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