$(1.)$

$l=2m$

$e=3cm$

$f=3cm$

$g=8cm$

$E=200$GPa

$=1\mathrm{.}2*{10}^{-5}\frac{1}{}C$

a$)$ What is the name, symbol and unit of the tipical strain of the beam element under bending?

b$)$ Find the maximum allowable value of the $F$ concentrated force, if the allowable stress is ${}_a=+-150$MPa $!$

c$)$ Determine the curvature $($specific rotation$)$ of the cantilever at cross$-$section $K!$

d$)$ Determine the normal strain araising at point $A$ of cross$-$section $K$ under the concentrated force given in question b$).($Give the symbol of the strain with indices, correct sign and unit.$)$

e$)$ What would the curvature of the cantilever at cross$-$section $K$ be if the concentrated force was replaced by a nonuniform thermal change $T_b=-20C($bottom$),T_t=+20C($top$)?$