VM-WB-MECH-043

VM-WB-MECH-043
Fundamental Frequency of a Simply-Supported Beam

Overview

Reference:

Thompson, W. T. (1965). Vibration Theory and Applications (2nd Printing, pp. 18, ex. 1.5-1). Englewood Cliffs, NJ: Prentice-Hall, Inc.

Solver(s): Ansys Mechanical
Analysis Type(s): Modal Analysis
Element Type(s): Beam

Test Case

Determine the fundamental frequency f of a simply-supported beam of length = 80 in and uniform cross-section A = 4 in2 as shown below.

Figure 55: Schematic

Schematic

Material PropertiesGeometric PropertiesLoading
E = 3 x 107 psi
ρ=0.2836 lb/in3
= 80 in
A = 4 in2
h = 2 in
I = 1.3333 in4
 

Results Comparison

ResultsTargetMechanicalError (%)
Frequency (Hz)28.76628.612-0.535