Assuming that we wanted to consider building's vertical column, which can be simplified as

axial bar shown below:

$A=$ constant

$E=$ constant

$=2\mathrm{.}1\frac{g}{c{m}^3}$

$E=2$GPa

${}_y=55$MPa

g is gravitational acceleration.

For the nominal data provided above, determine the axial displacement at $x=$

$2\mathrm{.}57$ m if $h_o=10m.$

Express your answer in mm up to $3$ places of decimals.

Extending the above idea of building to a very tall tower with target height of

$h=1,070m.$ How much higher this tower needs to be built so that target height is

sustained.

Hint: you need to calculate $($h$-$ho$).$

Express your answer in meters up to $2$ places of decimals.