VM-WB-MECH-013

VM-WB-MECH-013
Buckling of a Circular Arch

Overview

Reference:

Young, W. C. Roark's Formulas for Stress and Strain (6th ed., Table 34, Case 10, p. 679). McGraw Hill.

Solver(s):

Ansys Mechanical

Analysis Type(s):Buckling Analysis
Element Type(s):Shell

Test Case

A circular arch of a rectangular cross section (details given below) is subjected to a pressure load as shown below. Both the straight edges of the arch are fixed.

Find the Load Multiplier for the first buckling mode.

Figure 13: Schematic

Schematic

Material PropertiesGeometric PropertiesLoading
E = 2e5 MPa
ν = 0
Arch cross-section = 5 mm x 50 mm
Mean radius of arch = 50 mm
Included angle = 90°
Pressure = 1 MPa

Results Comparison

ResultsTargetMechanicalError (%)
Load Multiplier544546.070.38