VM10

VM10
Bending of a Tee-Shaped Beam

Overview

Reference:S. H. Crandall, N. C. Dahl, An Introduction to the Mechanics of Solids, McGraw-Hill Book Co., Inc., New York, NY, 1959, pg. 294, ex. 7.2.
Analysis Type(s):Static Analysis (ANTYPE = 0)
Element Type(s):3D 2 Node Beam (BEAM188)
Input Listing:vm10.dat

Test Case

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

Figure 13: Tee-Shaped Beam Problem Sketch

Tee-Shaped Beam Problem Sketch

Material PropertiesGeometric PropertiesLoading
E = 30 x 106 psi
b = 1.5 in
h = 8 in
Mz = 100,000 in-lb

Analysis Assumptions and Modeling Notes

A length of 100 in. is arbitrarily selected since the bending moment is constant. A T-section beam is modeled using flange width (6b), flange thickness (h/2), overall depth (2h + h/2), and stem thickness (b), input using SECDATA.

Results Comparison

TargetMechanical APDLRatio
StressBEND,Bot, psi300.300.1.00
StressBEND,Top, psi-700.-700.1.00