Utilize the properties of HDPE from the journal paper “Viscoelastic Behavior of HDPE
Polymer using Tensile and Compressive Loading” by Riadh Elleuch and Wafa Taktak.
These properties will possibly have to be supplemented from other sources.
A cantilever beam (L=18 in.) with a concentrated transverse load of 65 lb, and a
concentrated torque of 25 in-lb. Consider that an axial load of 30 lb will be applied.
There are two axial load cases to consider. The first is tension and the second is
compression. Limit the vertical deflection to 0.3 in., the axial deflection to 0.1 in. and
the rotational deflection to 7.5.
Investigate both solid and hollow (0.05<t/d<0.1) circular cross-sections. Run 4 cases for
the optimization routine (solid and hollow at 10 and 20 h).
Include the graphical solution for two cases of tension at 10 and 20 h.
The objective of this project is to minimize weight.
Write a short word processed report (be formal) describing the selection process and the
alternative material candidates. Include a graphical solution for the hollow cross-section
solution in tension.
Please note that the graphical solutions can take some time, so plan accordingly. You
will have to write r(t) for all the constraints.
For extra credit make a 3-D figure for tension at 5, 10, 15, and 20 h.
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