Structural Beam Bending Equations / Calculation Supported on Both Ends Single Load at Center

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Stress between load and support points


Stress at center of constant cross section


Deflection between load and support points


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)
l = Some distance as indicated inches (m)
Z = section modulus of the cross-section of the beam    
Z = I ÷ distance from neutral axis or plane to extreme fiber (edge)    
c = Distance from extreme fiber edge to neutral plane inches (m)

 

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