Beam Free and Guided on One End, Rigid one End With Single Load

Beam Deflection and Stress Formula and Calculators

Area Moment of Inertia Equations & Calculators

Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam Free and Guided on One End, Rigid one End With Uniform Load.

Beam Stress Deflection Free One End, Rigid one End Single Load Calculator

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Beam Stress Deflection Free One End, Rigid one End Single Load Calculator


Stress at Any Point

 

Stress at the fixed support 


Deflection at specified point


Deflection at the free end


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)
x = Some distance as indicated inches (mm)
= 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 410 or,
  • Machinery's Handbook, 23st Edition, Page 265 or,
  • Machinery's Handbook, 27st Edition, Page 267

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