Spring 2008, MET 415 - FEA Applications I
Prof. Dave Johnson, dhj1@psu.edu
Penn State - Erie, The Behrend College
Homework Assignment 8B
Typical MET 320 Test
Problem for FEA-1:
You decide (Choose the BEST approach):
- 2D or 3D ? Solid or Shell or other ?
- Symmetry or no symmetry ?
- Linear or Non-linear material properties
?
- Small or Large deformation effects ?
- Are load steps/substeps/gradual loading
necessary ?
- How to apply the given load ?
- How to constrain the part ?
- How to evaluate the mesh error ?

A
structural steel arm is fully bonded to rigid base.
The
steel arm is 0.9” wide, 1.2” thick.
The
larger round (top, left edge) is 0.25” radius, the smaller one (inside corner)
is 0.125” radius.
The round end
is 0.6” R.
A
force P of 1000 # is applied at the center of curvature of the rounded end.
Determine
the normal stress in the vertical direction at point “A” on the middle of
the left side, 0.9” above the rigid base.
Evaluate the vonMises stress in this part: what is the maximum
equivalent stress and where does it occur ?
What is the maximum deformation on this structure ?
Are these results accurate considering finite element mesh error ?
Turn in:
- Document your modeling decisions:
- 2D or 3D ? Solid or Shell or other ?
- Linear or Non-linear material properties
?
- Small or Large deformation effects ?
- How to apply the given load ?
- How to constrain the part ?
- Are load steps/substeps/gradual loading
necessary ?
- How to evaluate the mesh error ?
- A plot showing the mesh
- REPORT:
- the number
of nodes and elements used
- ALL element types used
- An "environment" plot showing all the
loads and constraints on the model
- A plot CLEARLY showing the normal stress in the vertical direction at point “A” on the middle of
the left side
- A plot showing the maximum deformation that occurs on the
model.
- A plot CLEARLY showing the maximum vonMises stress
that occurs on the model.
- A plot (or plots) evaluating the mesh error
- Any hand calculations you used to validate and
verify your model.