Each load has one wave around the circumference and

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Unformatted text preview: 1–102 ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. VM43: Bending of an Axisymmetric Thick Pipe Overview Reference: R. J. Roark, Formulas for Stress and Strain, 4th Edition, McGraw-Hill Book Co., Inc., New York, NY, 1965, pg. 112, no. 33. Analysis Type(s): Static Analysis (ANTYPE = 0) Element Type(s): Axisymmetric-Harmonic 4-Node Structural Solid Elements (PLANE25) Input Listing: vm43.dat Test Case A long thick-walled pipe is rigidly supported at its ends between two walls. Determine the maximum deflection in the pipe due to gravity loading. Determine the maximum tensile stress σmax at the outer surface of the pipe at Y = 4.16666 in. Figure 43.1 Axisymmetric Thick Pipe Sketch Problem Material Properties E = 30 x 106 ρ = .00073 lb-sec2/in4 υ = 0.0 Geometric Properties L = 200 in do = 2 in di = 1 in Loading g = 386 in/sec2 Analysis Assumptions and Modeling Notes The loading g, which is constant in magnitude and direction around the circumference of the pipe, is applied as the sum of two harmonically varying loads. Each load has one wave...
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