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.
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:
δ = − 3 = 0.519 in
ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–577 VM246
(Ro − R 4 ) = 0.046 in4
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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