Civil Engineering (CE) > Test: Moment Area Theorems - 1

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Detailed Solution for Test: Moment Area Theorems - 1 - Question 1

Answer: a

Explanation: In the above given equation, if A is first point and B is second, then θ_{B/A} is the LHS.

Test: Moment Area Theorems - 1 - 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 :-

Detailed Solution for Test: Moment Area Theorems - 1 - Question 2

Answer: b

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

Test: Moment Area Theorems - 1 - Question 3

What is the dimension of θ_{B/A} if area is measured in SI unit:-

Detailed Solution for Test: Moment Area Theorems - 1 - Question 3

Answer: b

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

Test: Moment Area Theorems - 1 - Question 4

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

Detailed Solution for Test: Moment Area Theorems - 1 - Question 4

This makes the integration much easier during calculation of deflection.

Test: Moment Area Theorems - 1 - 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 :-

Detailed Solution for Test: Moment Area Theorems - 1 - Question 5

Answer: a

Explanation: Since, we are taking A as origin.

Detailed Solution for Test: Moment Area Theorems - 1 - Question 6

Answer: b

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

Detailed Solution for Test: Moment Area Theorems - 1 - Question 7

Answer: d

Explanation: It is just a standard to differentiate between t_{A/B} and t_{B/A}.

Detailed Solution for Test: Moment Area Theorems - 1 - Question 8

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.

Test: Moment Area Theorems - 1 - 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.

Detailed Solution for Test: Moment Area Theorems - 1 - Question 9

Answer: b

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

Test: Moment Area Theorems - 1 - Question 10

–ve moment bends the beam convex down.

State whether the above sentence is true or false.

Detailed Solution for Test: Moment Area Theorems - 1 - Question 10

Answer: b

Explanation: -ve moment bends a beam concave down.

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