VandM diagrams SSCL M D M D C 01

A beam is loaded and supported as shown, with F = 2.7 kN, $M_1$ = 2.2 kN*m, $M_2$ = 1.9 kN*m, $w_1$ = 3.5 kN/m, and $w_2$ = 5 kN/m.

The dimensions on the figure are a = 1.5 m, b = 1.8 m, c = 2.1 m, and d = 2.1 m.

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:
$R_B$ =
$R_E$ =

Shear and Bending Moment Diagram Data:

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

Interval

$x_{left}$

$x_{right}$

$V_{left}$

$V_{right}$

function type

curvature

$M_{left}$

$M_{right}$

function type

curvature

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

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

3

linear quadratic cubic other

not curved concave up convex up mixed

linear quadratic cubic other

not curved concave up convex up mixed

4

linear quadratic cubic other

not curved concave up convex up mixed

linear quadratic cubic other

not curved concave up convex up mixed

5

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