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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 ontinuous Beam, with Two Equal Spans, Uniform Load.
Section Modulus Z
Z = I/c
I = Moment of inertia Cross Section : Units in4 (m4)
z = Distance neutral axis to extreme fiber: Units in (m)
General Stress at any Given Point
Open: General Stress at any Given Point Calculator
Deflection at any Point
Open: Deflection any Given Point Calculator
Critical Deflections
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) |
| a, b = |
Some distance as indicated |
inches |
(mm) |
| L = |
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
- Machinery's Handbook, 23st Edition
- Machinery's Handbook, 27st Edition
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