QUESTION $2$

$[10$ MARKS$]$

A $4\mathrm{.}7$ m long steel bar $(E=210$GPa$)$ of $90$ mm by $90$ mm square cross section rest on a rubber

foundation $(k=25$MPa$).$ If a concentrated load $P=47\mathrm{.}5kN$ is applied at the left end of the

beam, determine;

a$)$ The maximum deflection and

b$)$ The bending stress at $ux=\frac{}{4}.$