Beam Deflection and Stress Equations Calculator for Beam Ends Overhanging Supports and a Two Equal Loads Applied at Symmetrical Locations
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 Ends Overhanging Supports and a Two Equal Loads applied at Symmetrical Locations.
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Beam Stress, Beam Deflection Two Equal Loads Applied Symmetrical Locations Calculator
Beam Stress between loads and nearest support
Beam Stress between the two supports
Beam Stress at supports and all point along length between supports
Beam Deflection between load nearest (adjacent) support
Beam Deflection between supports
Beam Deflection at the loads
Beam Deflection at the center of the beam
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) |
x = | Some distance as indicated | inches | (mm) |
u = | Some distance as indicated | inches | (mm) |
c = | Some distance as indicated | inches | (mm) |
l = | 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).
- 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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