Q$1.$ A simpufed deietal structure, shown below, is supported on the left side in horizontal and verocai translation, and en the right land side is on$\text{'}$ vertical translation.

Sikeletal structure with concentrated loads and boundary conditions

a$)$ List the conditions thetat must be present to enable symmetry boundary conditions to be applied. $(2$ points$)$

b$)$ List the potential benefits of applying symmetry boundary conditions to a problem. $(2$ points$)$

c$)$ Can symmetry be exploited in the problem shown above? Justify your answer: $(2$ points$)$

d$)$ What type$($s$)$ of element$($s$)$ would you use to most efficiently model the above structure? $(1$ point$)$

e$)$ List the geometric input$($s$)$ required by ABAQUS for your chosen element type. $(1$ point$)$

$5$ What is the minimum number of elements required to accurately model this structure? Explain your choice in terms of the deflection and order of shape functions for your element choice $(3$ points$)$

g$.)$ Based on your answers for $(d)$ and $(f),$ what is the size of the global stiffness matrix for the structure? $12$ point$)$

h$)$ Describe how you would set up the modet in terms of boundarv conditions and applied loads. Refer to the given coordinate system. $(2$ points$)$

$.$ The value of Poisson's ratio for the stricture is doubled, How would this affect the maximum displacement of the structure? Explain your answer, $(2$ points$)$

The value Young's modulus for the structure is doubled. How would this affect the maximum displacelnent of the structure? Explain your answer points$)$

A distributed load of $40k\frac{N}{m}$ is added between points $F$ and $H.$ How would you modify your model te uccount for this? $(2$ points$)$