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VM216

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ANSYS Release 9.0 Documentation Verification Manual | Part I. Verification Test Case Descriptions |

VM216 Lateral Buckling of a Right Angle Frame

Overview Reference:

Analysis Type(s): Element Type(s): Input Listing:

J. C. Simo, L. Vu-Quoc, “Three-Dimensional Finite-Strain Rod Model, Part II”, Computer Methods in Applied Mechanical Engineering, Vol. 58, 1986, pp. 79-116. Static Analysis (ANTYPE = 0) 3-D Linear Finite Strain Beam Elements (BEAM188) 3-D Quadratic Finite Strain Beam Elements (BEAM189) vm216.dat

Test Case A cantilever right angle frame is subjected to an in-plane fixed end load. The frame is driven to buckling mode by a perturbation load applied at the free end, normal to the plane of the frame. This perturbation is removed close to the buckling load. Determine the critical load. Figure 216.1 Right Angle Frame Problem Sketch

Material Properties

Geometric Properties

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Ex = 71240 psi Nuxy = 0.31 Loading

lzz = 0.54 in lyy = 1350 in4 t = 0.6 in w = 30 in L = 240 in

Fz = 1 x 10-3 lb Fx = 1,485 lb

Analysis Assumptions and Modeling Notes A first analysis is performed using BEAM188 elements. A second analysis is also performed using BEAM189 elements.

Results Comparison Critical Load BEAM188 BEAM189

Target 1.09 1.09

ANSYS 1.066 1.065

Ratio 0.978 0.978

Figure 216.2 Displacement Tip vs. End Force

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Figure 216.3 Deformed Shape, Side View

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Figure 216.4 Deformed Shape, Top View

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Prev VM215

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