Bending, Deflection and Stress Equations Calculator for
Cantilevered Beam with One Load Applied at End

Beam Deflection and Stress Formula and Calculators

Structural Beam Deflection, Stress, Bending Equations and calculator for a Cantilevered Beam with One Load Applied at End.

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Bending, Stress Cantilevered Beam One Load Applied at End Calculator


Stress at specific point

Stress at the support (must be constant cross section)


Deflection at specified point


Deflection at the unsupported end


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)
Some distance as indicated inches (m)
x = 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)    
  • 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 408 or,
  • Machinery's Handbook, 23st Edition, Page 264 or,
  • Machinery's Handbook, 27st Edition, Page 265

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