A beam is loaded and supported as shown, with M $=3000$ ft$*$lb$,$ w$1$

$=190$ lb$/$ft and w$2$

$=450$ lb$/$ft$.$

The dimensions on the figure are a $=5\mathrm{.}4$ ft and b $=4\mathrm{.}3$ ft$.$

Draw and label shear and bending moment diagrams for this beam. From your diagrams, enter the following information. Limits of an interval are defined anywhere there is a change in the loading or the shear diagram becomes zero. The first interval is on the left and subsequent intervals are in order moving to the right.

Reactions:

RA

$=$

MA

$=$

Shear and Bending Moment Diagram Data:

$$

Interval xleft

xright

Vleft

Vright

function

type curvature Mleft

Mright

function

type curvature $$

$1$

$0$ m

m

kN

kN

linear

not curved

kN$*$m

kN$*$m

quadratic

concave up

$2$

m

m

kN

$0$ kN

linear

not curved

kN$*$m

$0$kN$*$m

quadratic

convex up

be sure to include units with your answers