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Unformatted text preview: length γA is pinned at its ends and subjected to an axial compressive force
F. Determine the stress σ and the axial displacement δ of the bar under these conditions. Determine the first
three natural frequencies fi of lateral vibration of the bar. Figure 59.1 Axially-Loaded Bar Problem Sketch Material Properties
E = 30 x 106 psi
γ = 0.281 lb/in3
ρ = γ / g = 0.000727973 lb-sec2/in4 Geometric Properties
b = h = 2 in Loading
F = 40,000 lb = 80 in
A = 4 in2
I = bh3/12 = (4/3) in4 Analysis Assumptions and Modeling Notes
Enough elements are selected so that the same model can be used to adequately characterize the dynamic
analysis. Prestress effects are turned on in the mode-frequency analysis with the stress state calculated in the
static analysis. Since the solution accuracy in the mode-frequency analysis for a distributed mass system depends ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–139 VM59
upon the number of master degrees of freedom (MDOF) selected, twelve uniformly spaced lateral MDOF are
selected. Results Comparison
Target Ratio -0.026667 -0.026667 1.000 -10,000 -10,000 1.000 f1 , Hz 17.055 17.052 1...
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This note was uploaded on 12/09/2010 for the course DEPARTMENT E301 taught by Professor Kulasinghe during the Spring '09 term at University of Peradeniya.
- Spring '09
- The Land