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Unformatted text preview: d to a loading of its own weight. The roof is supported by walls at
each end and is free along the sides. Find the x and y displacements at point A and the top and bottom stresses
at points A and B. Express stresses in the cylindrical coordinate system. Figure 42.1 Barrel Vault Roof Problem Sketch Material Properties
E = 4.32 x 108 N/m2
υ = 0.0
ρ = 36.7347 kg/m3 Geometric Properties
t = 0.25 m
r = 25 m Loading
g = 9.8 m/s2 = 50 m
Θ = 40° Analysis Assumptions and Modeling Notes
A one-fourth symmetry model is used. Displacements, UX and UY, and the longitudinal rotation, ROTZ, are constrained at the roof end to model the support wall. ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–101 VM42 Results Comparison
Target ANSYS Ratio UYA, m -.3019 -.3029 1.003 UXA, m -.1593 -.1598 1.003 Stressz, Top @ A, Pa 215,570. 216,056 1.002 Stressz, Bot @ A, Pa 340,700. 341,438 1.002 Stressangle, Top @ B, Pa 191,230. 190,666 0.997 Stressangle, Bot @ B, Pa -218,740. -219,515 1.004...
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