Beams

Question 1

What does the are under a shear force graph tell you

Answer 1

The change in bending moment (M) between two points

Question 2

What does the are under a loading diagram tell you

Answer 2

change in shear force (V)

Question 3

How do you find the centroid of a shape

Answer 3

• split shape into simpler shapes
  xA/A + xA2/A2 + … (same for y)

Question 4

What is the first moment of area

Answer 4

Measure of distribution of the area of a shape
(Centroid)

Question 5

What is the second moment of area (moment of inertia)

Answer 5

Measure of a shapes ability to resist bending

Question 6

How do you work out the parallel axis theorem

Answer 6

I na = ∑ Ic + v^2 A

I na = second moment of area (neutral axis)
Ic = second moment of area (centroid)
v = distance from neutral axis
A = area