Bending, Deflection and Stress Equations Calculator for Beam Ends Overhanging Supports and a Two Equal Loads Applied at Symmetrical Locations

Beam Deflection and Stress Formula and Calculators

Area Moment of Inertia Equations & Calculators

Structural Beam Deflection, Stress, Bending Equations and calculator for a Beam with Ends Overhanging Supports and a Two Equal Loads applied at Symmetrical Locations.

Beam with Ends Overhanging Supports and a Two Equal Loads applied at Symmetrical Locations

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Beam Stress, Deflection Two Equal Loads Applied Symmetrical Locations Calculator


Stress between loads and nearest support 

Stress between loads and nearest support 

Stress between the two supports

Stress between the two supports


Stress at supports and all point along length  between supports

Stress at supports and all point along length between supports


Deflection between load nearest (adjacent) support

Deflection between load nearest (adjacent) support

Deflection between supports

Deflection between supports


Deflection at the loads

Deflection at the loads

Deflection at the center of the beam

Deflection at the center of the beam


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)
u = Some distance as indicated inches (mm)
c = 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 407 or,
  • Machinery's Handbook, 23st Edition, Page 263 or,
  • Machinery's Handbook, 27st Edition, Page 264