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Unformatted text preview: UZ Displacement Contours; Window 2: Displaced Shape - Edge
View 1–96 ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. VM40: Large Deflection and Rotation of a Beam Pinned at One End
Reference: Any basic mathematics book Analysis Type(s): Nonlinear Transient Dynamic Analysis (ANTYPE = 4) Element Type(s): 2-D Elastic Beam Element (BEAM3) Input Listing: vm40.dat Test Case
A massless beam of length L is initially at position AB on a horizontal frictionless table. Point A is pinned to the
table and given a large rotation Θz through a full revolution at speed ωz. Determine the position of the beam in
terms of δ, and Θ at various angular locations. Show that the beam has no axial stress σ at any position. Figure 40.1 Beam Problem Sketch Material Properties
E = 30 x 106 psi
ρ = 1 x 10-10 lbs/in3 Geometric Properties
L = 10 in Loading
ωz = 400 rpm (ccw) Analysis Assumptions and Modeling Notes
The beam area, moment of inertia, and thickness have no effect o...
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