Structural Beam Bending Equations / Calculation Supported on Both Ends Loaded Two equal Loads

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Stress between nearest load and support point

Stress between the two loads


Stress at each load application and all points between


Deflection between nearest load and support point

Deflection between loads


Deflection at center

Deflection at loads

 


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)
v = 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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