VM-WB-MECH-036

VM-WB-MECH-036
Thermal Stress Analysis of a Rotating Bar Using Temperature-Dependant Density

Overview

Reference:	Any Basic Strength of Materials book
Solver(s):	Ansys Mechanical
Analysis Type(s):	Static Stress Analysis (Sequence Loading)
Element Type(s):	Solid

Test Case

A Bar (2 m x 2m x 20m) with one end fixed and with a rotational velocity about X axis at location (1, 1, 0) is subjected to a Uniform Temperature (Thermal Condition Load) in three steps. For all the steps, Reference Temperature is 0°C. Frictionless Support is applied on all the longitudinal faces.

Figure 48: Schematic

Material Properties

Geometric Properties

E = 1 x 10⁶ Pa

α = 1 x 10^-5 1/°C

ν = 0

Part 1: 2 m x 2 m x 20 m

Rotational Velocity (rad/s) in steps:

(1, 0, 0)
(0.5, 0, 0)
(0.25, 0, 0)

Thermal Condition °C

50°C
100°C
150°C

Temperature °C

100

150

Density kg/m³

Analysis

Results Comparison

Results		Target	Mechanical	Error (%)
Equivalent Stress (Pa)	Step 1	6500	6502.6	0.040
	Step 2	4000	4001.3	0.0325
	Step 3	2625	2625.5	0.019
Total Deformation (m)	Step 1	0.09	0.09	0
	Step 2	0.06	0.06	0
	Step 3	0.045	0.045	0