$2-$ Consider a structural insulated panel $($SIP$)$ comprising polystyrene foam

$($core$)$ and Plywood $($faces$).$ The foam thickness is $115$ mm$.$ Assume Plywood to

be a $3-$layer laminate of $4$ mm spruce wood veneers $($i$.$e$.$ total thickness of $12$ mm$).$

$$ Calculate the N$.$A of this sandwich panel.

$$ Calculate the maximum deflection of a simply supported SIP $($under $1$ kN load if the load is applied as a concentrated load to the middle of the panel.

$$ Calculate the maximum stresses generated in each plywood layer and the foam.

$-$ What is the maximum lateral deflection of the panel if it is used as a shear wall under a shear load of $1$kN applied to the top of the wall?

$-$ What are the maximum stresses in the plywood and polystyrene foam?

$-$ Compare the results with a CLT panel of the same size and comment on your findings.

$-$ How can you reasonably estimate the deflection of the panel under bending if it is supported on all four edges?

Clarify all your assumptions in your solution. Assume $2800$ X $1400$ X $139$ mm for the panel dimensions. The panel is oriented in such a way to utilize its maximum load bearing capacity.