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提示：屈曲分析（特征值法）。4 i+ o) n; J3 }* ?# T
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Title Buckling of a Bar with Hinged Ends (Line Elements)$ E% d b: k7 K& Q6 |
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Overview0 b5 _" M( K4 ~3 m% e5 L
7 ~9 O; v# d' N$ h+ K| Reference: | S. Timoshenko, Strength of Material, Part II, Elementary Theory and Problems, 3rd Edition, D. Van Nostrand Co., Inc., New York, NY, 1956, pg. 148, article 29. | | Analysis Type(s): | Buckling Analysis8 [' C" L) ]$ M
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Test Case
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# C! O* \5 K% m. K) v8 n. {Determine the critical buckling load of an axially loaded long slender bar of length L with hinged ends. The bar has a cross-sectional height h, and area A.
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Figure 127.1 Buckling Bar Problem Sketch) z$ P4 @# U# ]- ^1 _+ v8 Z
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- ^- ?9 r& @# \4 C0 O2 {| Material Properties | | E = 30E6 psi |
| | Geometric Properties | | l = 200 in | | A = 0.25 in2 | | h = 0.5 in |
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3 j9 Z4 _7 @0 j7 C, mAnalysis Assumptions and Modeling NotesOnly the upper half of the bar is modeled because of symmetry. The boundary conditions become free-fixed for the half symmetry model. A total of 10 master degrees of freedom in the X-direction are selected to characterize the buckling mode. The moment of inertia of the bar is calculated as I = Ah2/12 = 0.0052083 in4 .
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Results Comparison | Target | ANSYS | Ratio | | Fcr, lb | 38.553 | 38.553 [1] | 1.000 |
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[ 本帖最后由 tigerdak 于 2007-11-8 18:44 编辑 ] |
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发表于 2007-11-8 12:30:51
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