A $980$ mm long, $22$ mm diameter rod made of

a homogenous, isotropic material is subjected

to a uniaxial tensile force of $27kN.$ Knowing

that:

$E=99\mathrm{.}5$GPa

$u=0\mathrm{.}25$

Answer the following:

a$)$ The shear modulus $($modulus of rigidity$)=$

GPa

b$)$ The change in length

$|{}_x|=,mm$

One possible correct answer is: $0\mathrm{.}69957$

a$.$ elongation $(+)$

b$.$ contraction $(-)$

x

One possible correct answer is: elongation $(+)$

c$)$ The change in diameter

$|{}_y|=,{10}^{-3}mm$

$x$

One possible correct answer is: $3\mathrm{.}92616$

a$.$ elongation $(+)$

b$.$ contraction $(-)$

One possible correct answer is: contraction $(-)$

d$)$ Knowing that the change in length $({}_x)$ must

not exceed $1\mathrm{.}5$ mm $,$ find the maximum load $P$

that can be applied.

$P,$ kN