VM-LSDYNA-WB-007

VM-LSDYNA-WB-007
Long Bar With Compressive Load

Overview

Reference: Any basic strength-of-materials book
Analysis Type(s): Explicit Dynamics with WorkBench LS-DYNA
Element Type(s): Solid
Input Files:Link to Input Files Download Page

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 shown in the problem sketch. The multibody is used to nullify the numerical noise near the contact regions. Find the maximum equivalent stress for the whole multibody as well as the safety factor for each part using the maximum equivalent stress theory with tensile yield limit.

This test case is also solved using Ansys Mechanical. See VM-WB-MECH-009.

Figure 12: Problem Sketch

Problem Sketch

Material PropertiesE(Pa)νTensile Yield (Pa)Geometric PropertiesLoading
Part 1 1.93e1102.07e8

Part 1: 2 m x 2 m x 3 m

Pressure = 2.5e8 Pa
Part 27.1e1002.8e8Part 2: 2 m x 2 m x 10 m
Part 32e1102.5e8Part 3: 2 m x 2 m x 5 m
Part 41.1e1102.8e8Part 4: 2 m x 2 m x 2 m

Analysis Assumptions and Modeling Notes

No additional modeling notes apply.

Results Comparison

ResultsTargetWorkbench LS-DYNAError (%)
Maximum Equivalent Stress (Pa)2.5e82.5e80.000
Safety Factor for Part 10.8280.8280.000
Safety Factor for Part 21.121.120.000
Safety Factor for Part 3110.000
Safety Factor for Part 41.121.120.000