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.

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

Open Calculator Supported on Both Ends Single Load at Center


Stress between load and support points

Stress between load and support points


Stress at center of constant cross section

Stress at center of constant cross section


Deflection between load and support points

Deflection between load and support points


Maximum deflection at load

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