Bending, Deflection and Stress Equations Calculator for
Beam with End Overhanging Supports and a Single Load

Beam Deflection and Stress Formula and Calculators

Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam with End Overhanging Supports and a Single Load.

Stress between load and nearest support

Stress between the two supports

Stress at support nearest load

Deflection between supports

Deflection between non-loaded end and nearest support

Deflection at the load

Deflection at the unloaded ends

Where:

 E = Modulus of Elasticity psi (N/mm2) I = Moment of Inertia in4 (mm4) W = Load lbs (N) s = Stress at the cross-section being evaluated Lbs/in2 (N/mm2) y = Deflection inches (mm) u = Some distance as indicated inches (mm) x = Some distance as indicated inches (mm) c = Some distance as indicated inches (mm) = Some distance as indicated inches (mm) w = Some distance as indicated inches (mm) d = 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 "" (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, Page 407 or,
• Machinery's Handbook, 23st Edition, Page 263 or,
• Machinery's Handbook, 27st Edition, Page 264

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