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Test: Influence Lines For Statically Indeterminate Beams - 1 - Civil Engineering (CE) MCQ


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10 Questions MCQ Test - Test: Influence Lines For Statically Indeterminate Beams - 1

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Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 1

Ray = reaction at support A in y direction.
Sign convention is as usual.
Beam is linear elastic.
Point A is a pin joint and point B and C are roller support. D is just an arbitrary point.
Unit load is applied at point D.

Q. What will be the value of Ray in the above figure?

Detailed Solution for Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 1

Answer: b
Explanation: If we remove the support at point A and replace it by force Faa. Due to sign convention, its direction will be initially considered upward.

Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 2

Ray = reaction at support A in y direction.
Sign convention is as usual.
Beam is linear elastic.
Point A is a pin joint and point B and C are roller support. D is just an arbitrary point.
Unit load is applied at point D.

Q. What will be the difference between magnitudes of Fad and Fda?

Detailed Solution for Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 2

Answer: b
Explanation: Due to validity of Maxwell’s reciprocal theorem, magnitudes of Fad and Fda will be equal.

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Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 3

Ray = reaction at support A in y direction.
Sign convention is as usual.
Beam is linear elastic.
Point A is a pin joint and point B and C are roller support. D is just an arbitrary point.
Unit load is applied at point D.

Q. What is the relation between Fad and Fda?

Detailed Solution for Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 3

Answer: a
Explanation: Magnitudes will be same as stated above. Now, sign will be opposite as slope at B won’t change in deflection diagram and there won’t be and vertical deflection at point C.

Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 4

Ray = reaction at support A in y direction.
Sign convention is as usual.
Beam is linear elastic.
Point A is a pin joint and point B and C are roller support. D is just an arbitrary point.
Unit load is applied at point D.

Q. Which of the following is equal to Ray?

Detailed Solution for Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 4

Answer: c
Explanation: Just replacing the value of Fad in the answer of Q1 will give us the result. This relation will be the basic equation for ILD of indeterminate structures.

Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 5

Ray = reaction at support A in y direction.
Sign convention is as usual.
Beam is linear elastic.
Point A is a pin joint and point B and C are roller support. D is just an arbitrary point.
Unit load is applied at point D.

Q. The relationship between Ray,Fda and Faa is valid only for point A.
State whether the above statement is true or false.

Detailed Solution for Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 5

Answer: b
Explanation: It is valid for all supports like B and C, just replace all a’s by that point. We haven’t used any support conditions of point A while deriving this equation.

Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 6

A is a fixed support and B is roller.
AB = 18m.
C is a point at a distance of 6m from point A.
D is a point at a distance of 6m from point B.
Assume E and I to be given.

What is the DSI for this structure?

Detailed Solution for Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 6

Answer: a
Explanation: Total 4 unknowns are there and 3 equations are there.

Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 7

A is a fixed support and B is roller.
AB = 18m.
C is a point at a distance of 6m from point A.
D is a point at a distance of 6m from point B.
Assume E and I to be given.

Q. How many redundant forces are there in the above structure?

Detailed Solution for Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 7

Answer: b
Explanation: 1 redundant force is there as it is equal to DSI.
We have taken the horizontal force at point A as redundant force.

Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 8

A is a fixed support and B is roller.
AB = 18m.
C is a point at a distance of 6m from point A.
D is a point at a distance of 6m from point B.
Assume E and I to be given.

Q.  Which support should replace fixed support at point A for above condition?

Detailed Solution for Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 8

Answer: d
Explanation: Only slider will give both moment and vertical reaction.

Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 9

A is a fixed support and B is roller.
AB = 18m.
C is a point at a distance of 6m from point A.
D is a point at a distance of 6m from point B.
Assume E and I to be given.

Q. What will be the value of Ray for ILD?

Detailed Solution for Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 9

Answer: b
Explanation: Since redundant force is applied at point A, Fda/Faa will be the result unity.

Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 10

A is a fixed support and B is roller.
AB = 18m.
C is a point at a distance of 6m from point A.
D is a point at a distance of 6m from point B.
Assume E and I to be given.

Q. What will be the value of Δaa?

Detailed Solution for Test: Influence Lines For Statically Indeterminate Beams - 1 - Question 10

Answer: d
Explanation: Applying a redundant load of unity on point A and applying conjugate beam method will give the answer easily.

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