Given: The beam shown below is loaded with the following unfactored loads:

A distributed dead load of $80lb\frac{s}{f}t,$ applied downward everywhere

A distributed live load of $60lb\frac{s}{f}t,$ applied downward, may be patterned

A single moveable concentrated live load of $2000lbs,$ applied downward, may be anywhere

Consider a load combination of ${1\mathrm{.}2}^{**}$ Dead $+{1\mathrm{.}6}^{**}$ Live. Note that the load factors have not yet been

included in the given loads, so make sure you multiply by $1\mathrm{.}2$ or $1\mathrm{.}6$ as appropriate.

Determune.

Compute the shear and moment design envelope values for the following locations along the beam:

a$)x=0ft,$ just to the right of the pin

b$)x=15ft,$ midspan of the first span

c$)x=30ft,$ just to the left of the roller

d$)x=30ft,$ just to the right of the roller

e$)x=35ft,$ midspan of second span

f$)x=40ft,$ just before the end of cantilever

Remember to check both the upper bound and lower bound.

Please summarize your answers in two graphs, where the $x-$axis is the position of interest, and the $y-$axis

is either the shear or moment envelope. Place dots with values clearly labeled to show the upper and

lower bounds at the examined locations. The beam shown below is loaded with the following unfactored loads:

$$ A distributed dead load of $80$ lbs$/$ft$,$ applied downward everywhere

$$ A distributed live load of $60$ lbs$/$ft$,$ applied downward, may be patterned

$$ A single moveable concentrated live load of $2000$ lbs$,$ applied downward, may be anywhere

Consider a load combination of $1\mathrm{.}2*$Dead $+1\mathrm{.}6*$Live$.$ Note that the load factors have not yet been

included in the given loads, so make sure you multiply by $1\mathrm{.}2$ or $1\mathrm{.}6$ as appropriate.

Determine:

Compute the shear and moment design envelope values for the following locations along the beam:

a$)$ x $=0$ ft$,$ just to the right of the pin

b$)$ x $=15$ ft$,$ midspan of the first span

c$)$ x $=30$ ft$,$ just to the left of the roller

d$)$ x $=30$ ft$,$ just to the right of the roller

e$)$ x $=35$ ft$,$ midspan of second span

f$)$ x $=40$ ft$,$ just before the end of cantilever

Remember to check both the upper bound and lower bound.

Please summarize your answers in two graphs, where the x$-$axis is the position of interest, and the y$-$axis

is either the shear or moment envelope. Place dots with values clearly labeled to show the upper and

lower bounds at the examined locations.

Hint: I also like to set up a table as shown below, one table for the shears and another similar table for the

moments $$ it helps me keep all the numbers in one place.