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Unformatted text preview: Figure 246.1 Hollow Cylindrical Cantilever Beam and Loading ¡ Figure 246.2 Beam Cross-Section £ ¤¢ ¦¢ ¥ Determine the maximum deflection of an end-loaded hollow cylindrical beam. The beam is fixed at one end and free on the other. The load consists of a downward force of 5 pounds at the free end. Material Properties E = 70 x 103 psi ν = 0.3 Geometric Properties Outside Radius (Ro) = 0.5 in Inside Radius (Ri) = 0.25 in Length (L) = 10 in Loading P = 5 lb Analysis Assumptions and Modeling Notes From the reference, the maximum deflection (δ) in a cantilever beam with end loading can be found using: PL δ = − 3 = 0.519 in 3EI Where, ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–577 VM246 I= π4 (Ro − R 4 ) = 0.046 in4 i 4 The analysis is accomplished with SOLID185, SOLID186, and SOLID187 element types. For each run, a 30° portion of the beam is modeled, meshed and then expanded using the CYCLIC and /CYCEXPAND commands. To obtain accurate results, KEYOPT settin...
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