Question

The slope of the bending-moment diagram is equal to the _______ of the shear-force diagram at that point.

Question 1 options:

	length
	slope
	area
	value

Question 2 (2 points)

Bending moments are maximum or minimum _______.

Question 2 options:

	where the maximum distributed load is applied
	at the largest concentrated moment
	where the shear force diagram is zero
	where the shear force diagram reaches a maximum

Question 3 (2 points)

Assuming no external moments are applied to the beam, the change in the bending-moment diagram between any two locations is equal to the area under the shear-force curve.

Question 3 options:

	True
	False

Question 4 (2 points)

An downward concentrated load will cause the shear-force diagram to jump _______.

Question 4 options:

	up
	down

Answer 1

Solution:

Question 1.

Answer. Value

It is from the expression: dM/dX = V ,

Where, M = bending moment and V = shear force

The slope of the bending moment diagram at a point is equal to the intensity ( value) of shear force at that point.

Question. 2

Answer. When the shear force diagram is zero

Bending moment is maximum ( + ) or minimum ( - ) , at the point where there is zero shear force.

Question .3

Answer. True

The change in moment between any two locations is equal to the area under the shear force diagram.

Question. 4

Answer. Down.

Due to a concentrated load acting downward, the shear force also acts in downward direction if there is no upward force available ( of greater magnitude) to counteract the downward force. And so the downward force causes the shear force diagram to jump downwards.