Bending, Deflection and Stress Equations Calculator for Beam with End Overhanging Supports and a Single Load

Beam Deflection and Stress Formula and Calculators

Area Moment of Inertia Equations & Calculators

Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam with End Overhanging Supports and a Single Load.

Beam with End Overhanging Supports and a Single Load.

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Deflection, Stress Beam End Overhanging Supports and Single Load Calculator


Stress between load and nearest support 

Stress between load and nearest supportĀ 

Stress between the two supports

Stress between the two supports


Stress at support nearest load

Stress at support nearest load


Deflection between load nearest (adjacent support)

Deflection between load nearest (adjacent support)

Deflection between supports

Deflection between supports

Deflection between non-loaded end and nearest support

Deflection between non-loaded end and nearest support


Deflection at the load

Deflection at the load

Deflection at the unloaded ends

Deflection at the unloaded ends


Where:

E = Modulus of Elasticity psi

(N/mm2)

I = Moment of Inertia in4 (mm4)
W =   Load lbs (N)
s =  Stress at the cross-section being evaluated Lbs/in2 (N/mm2)
y = Deflection inches (mm)
u = Some distance as indicated inches (mm)
x = Some distance as indicated inches (mm)
c = Some distance as indicated inches (mm)
= Some distance as indicated inches (mm)
w = Some distance as indicated inches (mm)
d = 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 "" (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, Page 407 or,
  • Machinery's Handbook, 23st Edition, Page 263 or,
  • Machinery's Handbook, 27st Edition, Page 264