$(20$ points$)$ Difficulty $(4/5)$

A beam is loaded and supported as shown, with $F_1=2010lb,F_2=1740lb,$ and w $=1230l\frac{b}{f}t.$

The dimensions on the figure are $a=2ft,b=1ft,c=7ft$ and $d=1\mathrm{.}9ft.$

Develop expressions that describe the shearing forces and bending moments in the beam as functions of $x.$

$R_A=$

lb

$R_B=$

lb

Interval $V(x)=lbM(x)=f{t}^{**}lbV(x)=lbM(x)=f{t}^{**}|bV(x)=lbM(x)=f{t}^{**}|bV(x)=lbM(x)=ft**lb8ft$ :

$V(x)=$

$lb$ and $M(x)=$

$ft**lb1ft$ :

$V(x)=$

$lb$ and $M(x)=$

$f{t}^{**}|b$

Interval $8ft$ :

$V(x)=$

$lb$ and $M(x)=$

$ft**lb0$ :

$V(x)=$

$lb$ and $M(x)=$

$f{t}^{**}|b$

Interval $1ft$ :

$V(x)=$

$lb$ and $M(x)=$

$f{t}^{**}|b$

Interval $8ft$ :

$V(x)=$

$lb$ and $M(x)=$

$ft**lb-2ft$ :

$V(x)=$

$lb$ and $M(x)=$

$f{t}^{**}lb$

Interval $0$ :

$V(x)=$

$lb$ and $M(x)=$

$f{t}^{**}|b$

Interval $1ft$ :

$V(x)=$

$lb$ and $M(x)=$

$f{t}^{**}|b$

Interval $8ft$ :

$V(x)=$

$lb$ and $M(x)=$

$ft**lb$