VM246
VM246
Cyclic Analysis of an End-Loaded Hollow Cylindrical Cantilever
Beam
Overview
| Reference: | F. P. Beer, E. R. Johnston, Jr., Mechanics of Materials, McGraw-Hill, Inc., New York, NY, 1981, pg 598. |
| Analysis Type(s): | Static-structural analysis |
| Element Type(s): | |
| Input Listing: | vm246.dat |
Test Case
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 | Geometric Properties | Loading | ||||||
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Analysis Assumptions and Modeling Notes
From the reference, the maximum deflection (δ) in a cantilever beam with end loading can be found using:
where:
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 settings were issued for each element type. Enhanced strain formulation (KEYOPT,1,2,2) was used for SOLID185. Full integration (KEYOPT,1,2,1) was used for SOLID186. Pure displacement formulation (KEYOPT,1,6,0) was necessary for SOLID187.