QUESTION ONE

FIG$\mathrm{.}1.$ CONTINOUS BEAM

$1\mathrm{.}1.$ For the continuous beam given in Figure $1,$ use Muller$-$Breslau's principles to construct the influence lines of the

following:

$1\mathrm{.}1\mathrm{.}1.$ Vertical reaction at support A

$1\mathrm{.}1\mathrm{.}2.$ Vertical reaction at support B

$1\mathrm{.}1\mathrm{.}3.$ Vertical reaction at support $E$

$1\mathrm{.}1\mathrm{.}4.$ Moment reaction at support $F$

$1\mathrm{.}1\mathrm{.}5.$ Shear force at point $F,$ which is $4m$ away from $A$

$1\mathrm{.}1\mathrm{.}6.$ Bending moment at point $F$

$1\mathrm{.}2.$ For the influence lines in $1\mathrm{.}1,$ determine the maximum positive and negative reactions at support $A,B,$ and $E$ the

maximum positive and negative shear and bending moments at point $F$ due to a concentrated live load of $160kN,$ a

uniformly distributed live load of $28k\frac{N}{m},$ and a uniformly distributed dead load of $14k\frac{N}{m}.$

$1\mathrm{.}3.$ For the influence lines drawn in $1\mathrm{.}1,$ determine the maximum positive, reaction at support $A,B$ and $E,$ the maximum

positive bending moment and shear force at point $F$ due to the series of four moving concentrated loads shown in Fig. $2.$