VM-WB-MECH-018

VM-WB-MECH-018
A Bar Subjected to Tensile Load with Inertia Relief

Overview

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

Test Case

A long bar assembly is fixed at one end and subjected to a tensile force at the other end as shown below. Turn on Inertia Relief.

Find the deformation in the z direction

Analysis

where:

L = total length of bar
A = cross-section
m = mass

Material PropertiesGeometric PropertiesLoading
E = 2 x 1011 Pa
ν = 0.3
ρ = 7850 kg/m3
Cross-Section = 2 m x 2 m
Lengths of bars in order from End A: 2 m, 5 m, 10 m, and 3 m.
Force P = 2 x 105 N (positive z direction)

Analysis Assumptions and Modeling Notes for Ansys Mechanical

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

Figure 19: Ansys Mechanical Schematic

Ansys Mechanical Schematic

Results Comparison for Ansys Mechanical

ResultsTargetMechanicalError (%)
Maximum Z Deformation (m)2.5 x 10-6 2.5039 x 10-6 0.156