Bending, Deflection and Stress Equations Calculator for
Beam Supported on Both Ends Loaded Two equal Loads

Beam Deflection and Stress Formula and Calculators

Area Moment of Inertia Equations & Calculators

Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam Supported on Both Ends Loaded Two equal Loads.

Open
Stress and Deflection Beam Supported Both Ends Loaded Two Equal Loads Calculator


Stress between nearest load and support point

Stress between the two loads


Stress at each load application and all points between


Deflection between nearest load and support point

Deflection between loads


Maximum Deflection at Center

Deflection at loads


Where:

E = Modulus of Elasticity psi

(N/mm2)

I = Moment of Inertia in4 (mm4)
W = Load on Beam lbs (N)
s =  Stress at the cross-section being evaluated Lbs/in2 (N/mm2)
y = Deflection (Positive Upward Deflection, Negative Downward inches (mm)
x = Some distance as indicated inches (mm)
a = Some distance as indicated inches (mm)
v = 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 405 or,
  • Machinery's Handbook, 23st Edition, Page 261 or,
  • Machinery's Handbook, 27st Edition, Page 262

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