Beam Deflection and Stress Equations Calculator for Beam with End Overhanging Supports and a Single Load
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 End Overhanging Supports and a Single Load.
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Deflection, Stress Beam End Overhanging Supports and Single Load Calculator
Beam Stress between load and nearest support
Beam Stress between the two supports
Beam Stress at support nearest load
Beam Deflection between load nearest (adjacent support)
Beam Deflection between supports
Beam Deflection between non-loaded end and nearest support
Beam Deflection at the load
Beam Deflection at the unloaded ends
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 = | Beam Deflection | inches | (mm) |
u = | Some distance as indicated | inches | (mm) |
x = | Some distance as indicated | inches | (mm) |
c = | Some distance as indicated | inches | (mm) |
= | Some distance as indicated | inches | (mm) |
w = | Some distance as indicated | inches | (mm) |
d = | 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
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