VM64

VM64
Thermal Expansion to Close a Gap at a Rigid Surface

Overview

Reference:

C. O. Harris, Introduction to Stress Analysis, The Macmillan Co., New York, NY, 1959, pg. 58, problem 8.

Analysis Type(s):

Static thermal Stress Analysis (ANTYPE = 0)

Element Type(s):

2D/3D Node-to-Surface Contact Element (CONTA175)

2D Target Segment Element (TARGE169)

2D 4-Node Structural Solid Elements (PLANE182)

Input Listing:

vm64.dat

Test Case

An aluminum-alloy bar is initially at a temperature of 70°F. Calculate the stresses in the bar after it has been heated to 170°F. The supports are assumed to be rigid.

Figure 88: Rigid Surface

Material Properties

Geometric Properties

E = 10.5 x 10⁶ psi

α = 12.5 10^-6 in/in-°F

υ = 0

= 3 in

δ = 0.002 in

Δt = 170° - 70°F

Results Comparison

	Target	Mechanical APDL	Ratio
Stress_x , psi	-13125	-13125	1.000
Stress_y , lb	-6125	-6122	0.999