VandM diagrams CL D M D 01

A beam is loaded and supported as shown, with M = 3280 ft*lb, $w_1$ = 220 lb/ft and $w_2$ = 360 lb/ft.

The dimensions on the figure are a = 4.4 ft and b = 5.3 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:
$R_A$ =
$M_A$ =

Shear and Bending Moment Diagram Data:

$\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\!\strut\\\!\strut\\\end{array}}\right[$

Interval

$x_{left}$

$x_{right}$

$V_{left}$

$V_{right}$

function type

curvature

$M_{left}$

$M_{right}$

function type

curvature

$\left.\vphantom{\begin{array}{c}\!\strut\\\!\strut\\\!\strut\\\!\strut\\\!\strut\\\end{array}}\right]$

1

linear quadratic cubic other

not curved concave up convex up mixed

linear quadratic cubic other

not curved concave up convex up mixed

2

linear quadratic cubic other

not curved concave up convex up mixed

linear quadratic cubic other

not curved concave up convex up mixed

be sure to include units with your answers