VM-WB-MECH-002

VM-WB-MECH-002
Rectangular Plate with Circular Hole Subjected to Tensile Loading

Overview

Reference:	Shigley, J. E. (1986). Mechanical Engineering Design (1st ed.). McGraw-Hill. (Table A-23, Figure A-23-1, p. 673).
Solver(s)	Ansys Mechanical
Analysis Type(s):	Linear Static Structural Analysis
Element Type(s):	Solid

Test Case

A rectangular plate with a circular hole is fixed along one of the end faces and a tensile pressure load is applied on the opposite face. A convergence with an allowable change of 10 percent is applied to account for the stress concentration near the hole. The Maximum Refinement Loops is set to 2 and the Refinement mesh control is added on the cylindrical surfaces of the hole with Refinement = 1.

Find the Maximum Normal Stress in the x direction on the cylindrical surfaces of the hole.

Material Properties

Geometric Properties

E = 1000 Pa

ν = 0

Length = 15 m

Width = 5 m

Thickness = 1 m

Hole radius = 0.5 m

Pressure = -100 Pa

Analysis Assumptions and Modeling Notes for Ansys Mechanical

The following figure shows the finite element model in Ansys Mechanical:

Figure 2: Ansys Mechanical Schematic

Results Comparison for Ansys Mechanical

Results	Target	Mechanical	Error (%)
Maximum Normal X Stress (Pa)	312.5	314.812	0.74