Structural Beam Bending Equations / Calculation Supported on Both Ends Loaded at any Location

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Structural Beam Bending Equations / Calculation Supported on Both Ends Loaded at any Location

Stress between load and "a" load point

Stress between load and "b" load point

Stress at load application

Deflection between load and "a" point

Deflection between load and "b" point

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)
a =	Some distance as indicated	inches	(m)
b =	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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