VM-WB-MECH-049

VM-WB-MECH-049
Combined Bending and Torsion of Beam

Overview

Reference:

Timoshenko, S. (1955). Strength of Material, Part I: Elementary Theory and Problems (3rd ed., Problem 2, p. 299). New York, NY: D. Van Nostrand Co., Inc.

Solver(s):

Ansys Mechanical

Analysis Type(s): Static Structural Analysis
Element Type(s): Beam

Test Case

A vertical bar of length and radius r is subjected to the action of a horizontal force F acting at a distance d from the axis of the bar. Determine the maximum principal stress σmax.

Figure 61: Problem Sketch

Problem Sketch

Figure 62: Schematic

Schematic

Material PropertiesGeometric PropertiesLoading
E = 3e7 psi
ν = 0.3
= 25 ft
r = 2.33508 in
d = 3 ft
F = 250 lb (Y direction)
M = 9000 lbf-in (Z direction)

Results Comparison

ResultsTargetMechanicalError (%)
Principal stressmin (psi)-7527-7515.5-0.153
Principal stressmax (psi)75277515.5-0.153