Structural Beam Bending Equations / Calculation with Ends Overhanging Supports and a Two Equal Loads applied at Symmetrical Locations

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Stress between loads and nearest support 

Stress between the two supports


Stress at supports and all point along length  between supports


Deflection between load nearest (adjacent) support

Deflection between supports


Deflection at the loads

Deflection at the center of the beam


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)
u = Some distance as indicated inches (m)
c = 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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