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
Moment = 1Nmm/mm Geometric Properties
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
ECw = 7.031467E12 Nmm4(warping rigidity)
Iyy = 316576 mm4 for this beam cross section
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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