Beam Deflection Free and Guided on One End, Rigid one End With Uniform 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 Free and Guided on One End Stress and Deflections Calculator

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Beam Free and Guided on One End Stress and Deflections Calculator


Beam Stress at Any Point

Beam Stress at the fixed support 


Beam Deflection at specified point


Beam Deflection at the free 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)
x = 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, Page 410 or,
  • Machinery's Handbook, 23st Edition, Page 266 or,
  • Machinery's Handbook, 27st Edition, Page 267

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