Bending, Deflection and Stress Equations Calculator for Cantilevered Beam with Load at Location Between Support and Load

Beam Deflection and Stress Formula and Calculators

Area Moment of Inertia Equations & Calculators

Structural Beam Deflection, Stress, Bending Equations and calculator for a Cantilevered Beam with Load at Location Between Support and Load.

Bending Equations and calculator for a Cantilevered Beam with Load at Location Between Support and Load

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Stress and Bending Cantilevered Beam Load at Location Between Support Calculator


Beam Stress at specific point

Stress at specific point

Beam Stress at the support (must be constant cross section)

Stress at the support


Beam Deflection between support and load

Deflection between support and load


Beam Deflection beyond load

Deflection beyond load

Beam Deflection at load

Deflection at load

Maximum Beam deflection at end

Maximum deflection at end


Where:

E =  Modulus of Elasticity psi

(N/mm2)

I = 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)
l Some distance as indicated inches (mm)
x = Some distance as indicated inches (mm)
v = Some distance as indicated inches (mm)
b = 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).
  • Beam 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 408 or,
  • Machinery's Handbook, 23st Edition, Page 264 or,
  • Machinery's Handbook, 27st Edition, Page 265

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