ANSYS varification manual 9

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Unformatted text preview: 9-257. Analysis Type(s): Static Structural (ANTYPE = 0) Element Type(s): 3-D Linear Finite Strain Beam Elements (BEAM188) 3-D Quadratic Finite Strain Beam Elements (BEAM189) Input Listing: vm222.dat Test Case A cantilever I-beam is fixed at both ends and a uniform moment, Mx, is applied along its length. Figure 222.1 Warping Torsion Bar Problem Sketch Material Properties Warping rigidity (ECW) = 7.031467e12 Nmm4 and GJ=3.515734e7 Nmm2 Warping constant (CW) =0.323e8 and J=431.979 (E=217396.3331684 N/mm2 and G=81386.6878 N/mm2) Poisson's Ratio = (E/(2*G))-1 = 0.33557673 Loading Moment = 1Nmm/mm Geometric Properties b=40mm h=80mm t=2mm L=1000mm ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–513 VM222 Figure 222.2 I-Beam Section Plot Analysis Assumptions and Modeling Notes Given that: ECw = 7.031467E12 Nmm4(warping rigidity) Iyy = 316576 mm4 for this beam cross section and GJ = 3.515734E7 Nmm2 Cw = 0.323E8 mm6 (warping constant) J = 431.979 mm4 (torsion constant) E = 217396.333 N/mm2 (Young's modulus) Therefore υ = E/2G-1 = 0.33557673 (Poisson's ratio) Uniformly distributed moments are converted to a moment load on each element. mload1 and mload2 are the loads on the beam ends. The warping DOF results...
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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.

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