Bending, Deflection Calculator and Stress Equations for Continuous Beam, with Two Equal Spans, Uniform Load
Beam Deflection and Stress Formula and Calculators
Area Moment of Inertia Equations & Calculators
Structural Beam Deflection, Stress, Bending Equations and calculator for a Continuous 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) |
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
- Machinery's Handbook, 23st Edition
- Machinery's Handbook, 27st Edition