VM-WB-MECH-009

VM-WB-MECH-009
Stress Tool for Long Bar With Compressive Load

Overview

Reference:	Any basic Strength of Materials book
Solver(s):	Ansys Mechanical
Analysis Type(s):	Linear Static Structural Analysis
Element Type(s):	Solid

Test Case

A multibody of four bars connected end to end has one of the end faces fixed and a pressure is applied to the opposite face as given below. The multibody is used to nullify the numerical noise near the contact regions.

Find the maximum equivalent stress for the whole multibody and the safety factor for each part using the maximum equivalent stress theory with tensile yield limit.

This test case is also solved using LS-DYNA. See VM-LSDYNA-WB-007.

Figure 9: Schematic

Material Properties
Material	E (Pa)	ν	Tensile Yield (Pa)
Part 1	1.93e11	0	2.07e8
Part 2	7.1e10	0	2.8e8
Part 3	2e11	0	2.5e8
Part 4	1.1e11	0	2.8e8

Geometric Properties

Loading

Part 1: 2 m x 2 m x 3 m

Part 2: 2 m x 2 m x 10 m

Part 3: 2 m x 2 m x 5 m

Part 4: 2 m x 2 m x 2 m

Pressure = 2.5e8 Pa

Results Comparison

Results	Target	Mechanical
Maximum Equivalent Stress (Pa)	2.5e8	2.5e8
Safety Factor for Part 1	0.828	0.828
Safety Factor for Part 2	1.12	1.12
Safety Factor for Part 3	1	1
Safety Factor for Part 4	1.12	1.12