Bending, Deflection and Stress Equations Calculator for Cantilevered Beam with Load at Location Between Support and Load
Beam Deflection and Stress Formula and Calculators
Area Moment of Inertia Equations & Calculators
Structural Beam Deflection, Stress, Bending Equations and calculator for a Cantilevered Beam with Load at Location Between Support and Load.
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Stress and Bending Cantilevered Beam Load at Location Between Support Calculator
Beam Stress at specific point
Beam Stress at the support (must be constant cross section)
Beam Deflection between support and load
Beam Deflection beyond load
Beam Deflection at load
Maximum Beam deflection at end
Where:
E = | Modulus of Elasticity | psi | (N/mm2) |
I = | Moment of Inertia | in4 | (mm4) |
W = | Load | lbs | (N) |
s = | Beam Stress at the cross-section being evaluated | lbs/in2 | (N/mm2) |
y = | Beam Deflection | inches | (mm) |
l = | Some distance as indicated | inches | (mm) |
x = | Some distance as indicated | inches | (mm) |
v = | Some distance as indicated | inches | (mm) |
b = | 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).
- Beam 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 408 or,
- Machinery's Handbook, 23st Edition, Page 264 or,
- Machinery's Handbook, 27st Edition, Page 265
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