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The 0.6 m. x 0.2 m. x 0.025 m. plate shown is made of steel and has a hole in the center and circular notches directly above and below the hole. All three circular features have a radius of 0.015 m.
The plate is loaded parallel to its longest dimension with a traction surface load, P.
Use SI units in solving this problem.
THIS PROBLEM COULD BE SOLVED as a 2D model, but for Exam 2 practice, use 3D and 1/8 symmetry
Use the ANSYS material library for the properties of structural steel (E = 2.0E11 Pa = 2.0E05 MPa).
Add nonlinear, bilinear, kinematic hardening material properties with a yield stress of 300,000,000 Pa (300 MPa) and a tangent modulus of 0.0 (i.e., perfectly plastic). Use only one temperature (0) for the model.
What is the volume of your model ?
From WB, Model > Geometry, Details Area, Properties: Volume = 370,580 cu. mm. (model is 1/8 symmetry)
What element type and element options did you use ?
My 1/8 symmetry model had 7568
SOLID186, plane stress w/thickness,
and 100 SURF154 for load application
What is the total horizontal reaction force (
SFx in N) on the model ?What is the maximum deflection (mm.) for the entire part ?
2*(0.3574 mm.) = 0.715 m. (consider
only the horizontal stretch of the full part)
Note: 0.3574 mm is from Total Deformation. The max. Directional
Deformation, X is 0.356 mm
What is the maximum vonMises stress (in Pa) ?
303.4 MPa (can vary depending on mesh
refinement near holes)
Did yielding occur on this model ?
Inspect the plot of equivalent
plastic strain - if non-zero regions of plastic strain are visible on the model,
then: Yes, yielding did occur.
How
many TOTAL iterations (cumulative iterations) were needed to solve this model ?
(LOOK in the
Solution Information Output -OR- Force Convergence).
13 (can vary depending on your
assignment of automatic time stepping: initial/min/max substeps)
Should you include large deformation effects in this analysis ? WHY ?
NO, 0.36 mm deflection is not large wrt. model dimensions
Also (to prove it), with Large Deflection Effects, ON; gradual loading, automatic time stepping, etc.:
max. total deformation = 0.35767 mm., and the max. vonMises stress is 303.6 M Pa,
which show very small impact of large deformation effects. Sometimes you have to try it to see if the volume change of the
elements effects the stiffness, deflection, and/or stresses.
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