VM-WB-MECH-048

VM-WB-MECH-048
Bending of a Tee-Shaped Beam

Overview

Reference:

Crandall, S. H., & Dahl, N. C. (1959). An Introduction to the Mechanics of Solids (p. 294, ex. 7.2). New York, NY: McGraw-Hill Book Co., Inc.

Solver(s):

Ansys Mechanical

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

Test Case

Find the maximum tensile and compressive bending stresses in an unsymmetrical T beam subjected to uniform bending Mz, with dimensions and geometric properties as shown below.

Figure 60: Schematic

Schematic
Schematic

Material PropertiesGeometric PropertiesLoading
E = 3e7 psi
b = 1.5 in
h = 8 in
y = 6 in
Area = 60 in2
Iz = 2000 in4
Mz = 100,000 lbf-in (Z direction)

Results Comparison

ResultsTargetMechanicalError (%)
StressBEND, Bottom (psi)3003000
StressBEND, Top (psi)-700-7000