VandM diagrams SS C D 01

A beam is loaded and supported as shown, with F = 25 kN and w = 8 kN/m.

The dimensions on the figure are a = 2.9 m, b = 2.4 m, c = 5.6 m, and d = 2.6 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:
$R_A$ =
$R_E$ =

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