Structural Beam Bending Equations / Calculation Supported on Both Ends Uniform Loading

 

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Stress at any point


Stress at center of constant cross section


Deflection at Any Given Point


Maximum deflection at Center


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)
Z = section modulus of the cross-section of the beam    
Z = I ÷ distance from neutral axis to extreme fiber (edge)    
       

 

 

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