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SS-V: 4000 Thermally Loaded Support Structure
Test No. VTL01 Find stresses in a support structure with a rigid beam, steel, and copper bars subjected to load and uniform temperature rise.

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- Thermal Loading
  - SS-V: 4000 Thermally Loaded Support Structure
    Test No. VTL01 Find stresses in a support structure with a rigid beam, steel, and copper bars subjected to load and uniform temperature rise.
  - SS-V: 4010 Bimetallic Cantilever Beam
    Test No. VTL02 Determine the displacements at the centerline at free end and bending stress at outer fiber for a bimetallic cantilever beam.
  - SS-V: 4020 Coupled Thermal-Structural Analysis - Constrained Straight Bar Under Uniform Temperature
    Test No. VTL03 Determine stresses along a constrained straight bar under uniform temperature.
  - SS-V: 4030 Coupled Thermal-Structural Analysis - Constrained Straight Bar Under Linear Temperature Field
    Test No. VTL04 Determine stresses at the top and bottom of a constrained straight bar under linear temperature field.
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SS-V: 4000 Thermally Loaded Support Structure

Test No. VTL01 Find stresses in a support structure with a rigid beam, steel, and copper bars subjected to load and uniform temperature rise.

Definition

The steel bar material properties are:

Properties: Value
Modulus of Elasticity: 30.e+6 psi
Coefficient of thermal expansion: 70.e-7 in/in-F
Copper bar correspondingly: 16.e+6 psi and 92.e-7 in/in-F

Total load applied to the rigid beam is 4000 lbf with a temperature change of 10 degrees Fahrenheit. The bars have cross-sectional area 0.1 inch² and length 20 inch.

Structure components are simulated by solids. Dimensions of the support bars are 20 x 0.5 x 0.2 inch, rigid beam are 12 x 1 x 1 inch. The rods are equally spaced at a distance of 5 inch. Rigid beam is simulated as an absolutely rigid body.

Results


Stress	Ref Solution	SimSolid	% Difference
Steel [psi]	19695.0	19677	-0.09%
Copper [psi]	10152	10151	-0.01%

Figure 1. Rigid beam

¹ S. Timoshenko, Strength of Material, Part 1, Elementary Theory and Problems, 3rd Edition, D. Van Nostrand Co., Inc., New York, NY, 1955, pg. 30, problem 9.