Beam Bending Equations Calculator
 Supported on Both Ends Single Load at Center

Beam Deflection and Stress Formula and Calculators
Engineering Calculators

Area Moment of Inertia Equations & Calculators

Beam Bending Equations Calculator Supported on Both Ends Single Load at Center.

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Stress between load and support points


Stress at center of constant cross section


Deflection between load and support points


Maximum deflection at load


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 404 or,
  • Machinery's Handbook, 23st Edition, Page 260 or,
  • Machinery's Handbook, 27st Edition, Page 261

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