How to solve...

$01$:$02$

$\mathrm{.}1/$

Answer any $2$ of the following $3$ questions, all questions are worth $30$ marks.

Question $2$:

a$)$ Using Hookes law and the definition of strain, show that deformation,

$=\frac{PL}{AE}$

$(6$ marks$)$

b$)$ Two solid cylindrical rods of different diameters are joined at B$,$ as shown in Figure $2($b$).$ The load applied at B is $40kN,$ the load applied at A is $30kN.$ Both rods have a Youngs Modulus value of $105$GPa. Determine the deflection of the entire rod assembly.

$10$ marks$)$

c$)$ Determine the maximum axial force $(P)$ that can be applied to the bar shown in Figure $2($c$).$ The materials allowable normal stress specification is $120$MPa.

$(14$ marks$)$

Total marks for Question $2$:

$30$ marks

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