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Unformatted text preview: Case
A circular membrane (of radius a and thickness t), clamped around its outer rim, is loaded with a uniform pressure
p. Determine the deflection δ at the center, the radial stress σo at the center, and the radial stress σa at the rim. Figure 137.1 Circular Membrane Problem Sketch Material Properties
E = 30 x 106 psi
α = 1 x 10-5 in/in-°F
υ = 0.25 Geometric Properties
a = 10 in
t = 0.0001 in Loading
p = 0.1 psi Analysis Assumptions and Modeling Notes
Since there is no significant bending stiffness, the membrane is cooled by -50°F (arbitrary) in the first load step
to induce a thermal prestress for stability. The pressure load is applied in the second load step. The cooling load
is removed in the third load step. Moment convergence is removed by specifying force convergence, since the
moments are not significant to the solution, thereby speeding convergence. Results Comparison
Load Step 3 Target ANSYS Ratio Deflection, in (UY @ Node 1) -0.459 -0.463 1.009 ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–306 VM137
Load Step 3 Target ANSYS R...
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This note was uploaded on 12/09/2010 for the course DEPARTMENT E301 taught by Professor Kulasinghe during the Spring '09 term at University of Peradeniya.
- Spring '09
- The Land