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

Beam Deflection and Stress Formula and Calculators

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

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

Beam Stress at Critical Locations/Points

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:

• Any Machinery's Handbook published since 1931 or,
• Machinery's Handbook, 21st Edition
• Machinery's Handbook, 23st Edition
• Machinery's Handbook, 27st Edition

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