Structural Beam Bending Equations / Calculation with End Overhanging Supports and a Single Load

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Stress between load and nearest support 

Stress between the two supports


Stress at support nearest load


Deflection between load nearest (adjacent support)

Deflection between supports

Deflection between non-loaded end and nearest support


Deflection at the load

Deflection at the unloaded ends


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

 

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