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 Problem 9
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Problem

Straight Cantilever Beam modeled with regular shape elements subjected to temperatures

Reference

Bruno A. Boley and Jerome H. Weiner, "Theory of Thermal Stresses," page 279, Dover Publications Inc., Mineola, New York 1997.

Data

Length = 6.0, Width = 0.2, Depth = 0.1
Young’s Modulus =10.0E6, Poisson’s ratio = 0.3
Coefficient of thermal expansion=1.265E-5, Reference temperature = 00F
Loading: Top surface is maintained at 2000F and bottom surface is maintained at 1000F
Constraints: Fixed at one end.

Comments

Deformation due to temperature loading is considered in this problem. The aspect ratio of the elements of this problem is 5.0. Hence this problem demonstrates the performance of various elements with such a high aspect ratio. Both undeformed and deformed shapes are shown in the figure.

 

CAEFEM v6.0, MSC NASTRAN for Windows v1.0, ANSYS v5.3 (generated from FEMAP)

 

Analytical Solution:

Deflection of node located at top right corner

X displacement: 0.015225, Y displacement: -0.1152

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