Question $4$

$4\mathrm{.}1$ A $30516540k\frac{g}{m}$ I section $($parallel flange$)$ beam is built in at both ends on a span of $6m.E=200$GPa. Calculate :

$4\mathrm{.}1\mathrm{.}1$ the uniformly distributed load for a deflection at midspan not exceeding $5$ mm $.$

$(3)$

$4\mathrm{.}1\mathrm{.}2$ the maximum bending stress

$(2)$

$4\mathrm{.}2$ For the simply supported beam loaded as shown, using Macauly's method and determine :

$4\mathrm{.}2\mathrm{.}1$ The slope at $\text{'}B\text{'}$

$(17)$

$4\mathrm{.}2\mathrm{.}2$ The deflection at $\text{'}A\text{'}$ and $\text{'}D\text{'}$

Take $EI=6\mathrm{.}5{10}^{6}N{m}^2$

$[27]$