Question

Problem 3 (150 pts).Solve problem 5.64 using a beam/frame element as well as a 3D. Use standard steel properties in Workbench, E=29E6 etc, Cross-section 0.3 by 0.2, inner radius 1.85 in, outer radius 2.15 in, thickness = 0.2 in

Obtain the following for an imposed gap of 0.2 inch

d. Compare the three sets of results, and COMMENT on possible reasons for any differences (element assumptions/shape functions, boundary conditions, number of elements, etc). Note that there are

different displacement functions used in the 2D elements

different assumptions in plane stress versus 3D

different assumptions in beam theory versus 2D or 3D (also beam theory treats each beam as straight)

Use a table format as follows:

Case	Element Divisions in radial direction	Element Divisions in circumferential direction	Force	Max stress (SIG1 or axial plus bending)	Location	Percent Difference in stress from 3D case
Manual	NA
Beam/frame	NA
3D Solid

e. Include a Maximum principal stress plot for the 3D case..

Answer 1

tve dala E 29 x10 O.2 bPfR TAR SGA due do due o. lood H R OTR EA S

Nevo, Ah 0.06 pond manum Me Where thua -5. -gon dirg

は3. 0.06 2896 695.04 9.49 xo 2896 281392.12S 12 6

90. 00242 21.36t 3 0. 0002 0.0024206S42 tq -A 0.OG h Che