Structural Beam Bending Equations / Calculation Supported on Both Ends Loaded at any Location

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Stress between load and "a" load point

Stress between load and "b" load point


Stress at load application


Deflection between load and "a" point

Deflection between load and "b" point


Maximum deflection at load


Where:

E = Modulus of Elasticity psi

(N/m2)

I = Moment of Inertia in4 (m4)
W =   Load lbs (N)
s =  Stress at the cross-section being evaluated Lbs/in2 (N/m2)
y = Deflection inches (m)
x = Some distance as indicated inches (m)
a = Some distance as indicated inches (m)
b = Some distance as indicated inches (m)
l = Some distance as indicated inches (m)
Z = section modulus of the cross-section of the beam    
Z = I ÷ distance from neutral axis to extreme fiber (edge)    
       

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