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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.
Open
Deflection, Stress Beam End Overhanging Supports and Single Load
Calculator
Stress between load and nearest support
Stress between the two supports
Stress at support nearest load
Deflection between load nearest (adjacent support)
Deflection between supports
Deflection between non-loaded end and nearest support
Deflection at the load
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 = |
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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