Beam Deflection and Stress Equations for a Beam supported One End, One End, Cantilevered at Defined Location and Distributed Load Between Supports
Beam Deflection and Stress Formula and Calculators
Area Moment of Inertia Equations & Calculators
Shear, Deflection and Stress Equations and Calculator for a Beam supported One End, Cantilevered at Defined Location and Distributed Load Between Supports
ALL calculators require a Premium Membership
Beam Reaction and Shear Equation
Beam Bending Moments Equation
Beam Stress Maximum
Beam Deflection and End Slope Equation
Where:
E = | Modulus of Elasticity | psi | (N/mm2) |
I = | Moment of Inertia | in4 | (mm4) |
W = | Beam Load, Total | lbf | (N) |
w = | Beam Unit Load | lbs/in | (N/mm) |
y = | Beam Deflection | inches | (mm) |
a, b, c, d, x, L = | Some distance as indicated | inches | (mm) |
n = | Beam Distance neutral axis | inches | (mm) |
Vmax = | Beam Shear Load | lbf | (N) |
Mmax = | Beam Moment | lbs-in | (N-mm) |
θmax = | Slope Angle | degree | (radian) |
σmax = | Stress max. | psi | (N/mm2) |
- Beam Deflections apply only to constant cross sections along entire length.
References:
- Boeing Design Manual, Rev G. 1994 BDM
Related
- Distributed Load Elastic Frame Deflection Left Vertical Member Guided Horizontally , Right End Pinned Equation and Calculator.
- Concentrated Moment on the Horizontal Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator.
- Concentrated Angular Displacement on the Horizontal Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator.
- Concentrated Lateral Displacement on the Horizontal Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator.
- Concentrated load on the Left Vertical Member Elastic Frame Deflection Left Vertical Member Guided Horizontally, Right End Pinned Equation and Calculator.
- Distributed Load on the Left Vertical Member Elastic Frame Deflection Left Vertical Member Guided Horizontally , Right End Pinned Equation and Calculator
- Concentrated Moment on the Left Vertical Member Elastic Frame Deflection Left Vertical Member Guided Horizontally , Right End Pinned Equation and Calculator
- Beam Deflection Equations / Calculator Cantilevered Beam with One Load Applied at End