Test: Moment Area Theorems - 1


10 Questions MCQ Test Structural Analysis I | Test: Moment Area Theorems - 1


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QUESTION: 1

 θB/A refers to:- 

Solution:

Answer: a
Explanation: In the above given equation, if A is first point and B is second, then θB/A is the LHS.

QUESTION: 2

 If area of M/EI diagram between points A and B is –ve, then angle from tangent A to tangent B will be measured :-

Solution:

Answer: b
Explanation: Standard sign convention is applied everywhere in the proof, so it is quite obvious.

QUESTION: 3

What is the dimension of θB/A if area is measured in SI unit:-

Solution:

Answer: b
Explanation: Since area is measured in SI units, result too will be in Si units.

QUESTION: 4

The vertical deviation is measured along (if first point is A and second point is B):-

Solution:

This makes the integration much easier during calculation of deflection.

QUESTION: 5

he vertical deviation of tangent at point say A on the elastic curve with respect to the tangent extended from another point say B equals the “moment” of the area under the M/EI diagram between the two points about point :-

Solution:

Answer: a
Explanation: Since, we are taking A as origin.

QUESTION: 6

 –ve M/EI area means tangent at A is:-

Solution:

Answer: b
Explanation: Since, during derivation we have always assumed upward to be positive.

QUESTION: 7

In general tA/B implies:- 

Solution:

Answer: d
Explanation: It is just a standard to differentiate between tA/B and tB/A.

QUESTION: 8

TA/B and tB/A are:- 

Solution:

Answer: c
Explanation: In one case, we will take moment about point A while in other case moment is taken about point B. So, it can be anything.

QUESTION: 9

The change in slope between any two points on the elastic curve equals the area of M/EI diagram between both end points of beam.
State whether the above statement is true or false.

Solution:

Answer: b
Explanation: Change in slope will be equal to area of M/EI diagram between those two points.

QUESTION: 10

 –ve moment bends the beam convex down.
State whether the above sentence is true or false.

Solution:

Answer: b
Explanation: -ve moment bends a beam concave down.

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