Calculator for Beam 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.

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

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


Beam Stress between nearest load and support point

Stress between nearest load and support point

Beam Stress between the two loads

Stress between the two loads


Beam Stress at each load application and all points between

Stress at each load application and all points between


Beam Deflection between nearest load and support point

Deflection between nearest load and support point

Beam Deflection between loads

Deflection between loads


Maximum Beam Deflection at Center

Maximum Deflection at Center

Beam Deflection at loads

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 = Beam Deflection (Positive Upward Beam 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)
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 405 or,
  • Machinery's Handbook, 23st Edition, Page 261 or,
  • Machinery's Handbook, 27st Edition, Page 262

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