Bending, Deflection and Stress Equations Calculator for Continuous Beam, with Two Unequal Spans, Unequal, Uniform Loads

Structural Beam Deflection, Stress, Bending Equations and calculator for a Continuous Beam, with Two Unequal Spans, Unequal, Uniform Loads.

Continuous Beam, with Two Unequal Spans, Unequal, Uniform Loads.

R₁ = Load Left Point
R₂ = Load Right Point
R = Load Center

Beam Section Modulus Z

Z = I/z

I = Moment of inertia Cross Section : Units in⁴ (m⁴)
z = Distance neutral axis to extreme fiber: Units in (m)

General Beam Stress at any Given Point

General Stress at any Given Point

Beam Stress at Critical Locations/Points

Beam Stress at Critical Locations/Points

Beam Deflection at any Point

Beam Deflection at any Point

Where:

E =	Modulus of Elasticity	psi	(N/mm²⁾
I =	Area Moment of Inertia	in⁴	(mm⁴⁾
W =	Load	lbs	(N)
s =	Beam Stress at the cross-section being evaluated	Lbs/in²	(N/mm²)
y =	Beam Deflection	inches	(mm)
x =	Some distance as indicated	inches	(mm)
u =	Some distance as indicated	inches	(mm)
a, b =	Some distance as indicated	inches	(mm)
L =	Some distance as indicated	inches	(mm)
l =	Some distance as indicated	inches	(mm)
Z =	section modulus of the cross-section of the beam = I/z	in³	(mm³⁾
z =	distance from neutral axis to extreme fiber (edge)	inches	(mm)

Please note letter "l " (lower case "L") is different than "I" (Moment of Inertia).
Deflections apply only to constant cross sections along entire length.

References: