Structural Beam Bending Equations / Calculation Free and Guided on One End, Rigid one End With Single Load

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Stress at Any Point

 

Stress at the fixed support 


Deflection at specified point


Deflection at the free end


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 to extreme fiber (edge)    

 

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