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Exercise 1

Repeat the optimization problem in the tutorial but with four design variables: H, W, R, T (thickness). Use the same Young's modulus and Poisson ratio: 30 x 10^3 ksi and 0.3, respectively.

Constraints

Maximum effective stress < yield value (32.5 ksi)

Bounds:

Parameter	Minimum Value	Maximum Value
Height (H)	10 in	15 in
Width (W)	10 in	15 in
Thickness (T)	0.1 in	0.25 in
Radius (R)	1.0 in	2.5 in

Submit:

1. Results from design of experiment step
2. 3D response surface: (R,H) vs. Volume
3. 3D response surface: (R,H) vs. Max effective stress
4. Selected design point
5. Von Mises stress variation in the plate at the design point