VM-WB-MECH-061

VM-WB-MECH-061
Out-of-Plane Bending of a Curved Bar

Overview

Reference:

Timoshenko, S. (1955). Strength of Material, Part I: Elementary Theory and Problems (3rd ed., p. 412, Eq. 241). 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 portion of a horizontal circular ring, built-in at A, is loaded by a vertical (Z) load F applied at the end B. The ring has a solid circular cross-section of diameter d. Determine the deflection δ at end B and the maximum bending stress σBend.

Figure 82: Schematic

Schematic
Schematic

Material PropertiesGeometric PropertiesLoading
E = 30 x 106 psi
ν = 0.3
r = 100 in
d = 2 in
θ = 90°
F = -50 lb (Z direction)

Results Comparison

ResultsTargetMechanicalError (%)
Deflection (in)-2.648-2.6550.264
StressBend (psi)6366.06399.20.522