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Test: The Double Integration Method - Civil Engineering (CE) MCQ


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15 Questions MCQ Test - Test: The Double Integration Method

Test: The Double Integration Method for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Test: The Double Integration Method questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Test: The Double Integration Method MCQs are made for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: The Double Integration Method below.
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Test: The Double Integration Method - Question 1

Which of the following is correct boundary condition for a beam supported by pin at both ends?

Detailed Solution for Test: The Double Integration Method - Question 1

Answer: c
Explanation: Since there will always be a vertical support reaction, displacement at both ends will be zero.

Test: The Double Integration Method - Question 2

Which of the following is false for deflection of a point nearby a fixed support?

Detailed Solution for Test: The Double Integration Method - Question 2

Answer: d
Explanation: Due to presence of vertical reaction and moment, there won’t be any displacement and slope will be zero.

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Test: The Double Integration Method - Question 3

The double integration method to calculate slope of deflected beam is applicable only when:-

Detailed Solution for Test: The Double Integration Method - Question 3

Answer: b
Explanation: During deriving the results, we have assumed that slope is zero once.

Test: The Double Integration Method - Question 4

Which out of the following is true for x axis:-

Detailed Solution for Test: The Double Integration Method - Question 4

Answer: a
Explanation: During deriving, we have assumed x axis to be parallel to undeflected beam.

Test: The Double Integration Method - Question 5

 Where does origin lies?

Detailed Solution for Test: The Double Integration Method - Question 5

Answer: b
Explanation: Origin is assumed to be at left of beam and rightward is positive.

Test: The Double Integration Method - Question 6

 Positive value of slope is clockwise.
State whether the above statement is true or false.

Detailed Solution for Test: The Double Integration Method - Question 6

Answer: b
Explanation: Positive value of slope is counter clockwise.

Test: The Double Integration Method - Question 7

Following is a cantilever beam and its length is Z.
A moment M is applied at the end B.
E and I are given.

What is the degree of static indeterminacy of this question?

Detailed Solution for Test: The Double Integration Method - Question 7

Answer: d
Explanation: This has 3 unknown reactions and three equations which make it statically determinate.

Test: The Double Integration Method - Question 8

Following is a cantilever beam and its length is Z.
A moment M is applied at the end B.
E and I are given.

What will be value of double differentiation of deflection in y direction wrt distance from point A at point A?

Detailed Solution for Test: The Double Integration Method - Question 8

Answer: a
Explanation: Since moment M is acting counterclockwise, moment at A will be clockwise and will be equal to M.

Test: The Double Integration Method - Question 9

Following is a cantilever beam and its length is Z.
A moment M is applied at the end B.
E and I are given.

How many boundary conditions will be required to solve this question?

Detailed Solution for Test: The Double Integration Method - Question 9

Answer: c
Explanation: Since double differentiation of deflection in y direction wrt distance from point A is independent of distance from point A, there will be only two unknown constants which would require 2 equations/boundary conditions.

Test: The Double Integration Method - Question 10

Following is a cantilever beam and its length is Z.
A moment M is applied at the end B.
E and I are given.

What will be the value of differentiation of deflection in y direction wrt distance from point A at point A?

Detailed Solution for Test: The Double Integration Method - Question 10

Answer: d
Explanation: Value will be zero as slope is zero due to fixed support.

Test: The Double Integration Method - Question 11

Following is a cantilever beam and its length is Z.
A moment M is applied at the end B.
E and I are given.

Value of deflection in y direction at point B will be zero.
State whether the above statement is true or false.

Detailed Solution for Test: The Double Integration Method - Question 11

Answer: b
Explanation: We can’t predict deflection in y direction at point B as it is a free end

Test: The Double Integration Method - Question 12

Following is a cantilever beam and its length is Z.
A moment M is applied at the end B.
E and I are given.

What will be the value of first obtained constant?

Detailed Solution for Test: The Double Integration Method - Question 12

Answer: a
Explanation: By replacing value of double differentiation of deflection in y direction wrt distance from point A at point A will give this result.

Test: The Double Integration Method - Question 13

Following is a cantilever beam and its length is Z.
A moment M is applied at the end B.
E and I are given.

What will be the value of second obtained constant?

Detailed Solution for Test: The Double Integration Method - Question 13

Answer: a
Explanation: By replacing value of differentiation of deflection in y direction wrt distance from point A at point A will give this result.

Test: The Double Integration Method - Question 14

Following is a cantilever beam and its length is Z.
A moment M is applied at the end B.
E and I are given.

 What is slope at point B?

Detailed Solution for Test: The Double Integration Method - Question 14

Answer: a
Explanation: By solving after putting value of first constant will give this MZ/EI.

Test: The Double Integration Method - Question 15

Following is a cantilever beam and its length is Z.
A moment M is applied at the end B.
E and I are given.

What is deflection in y direction at point B? 

Detailed Solution for Test: The Double Integration Method - Question 15

Answer: a
Explanation: By solving after putting value of first and second constants will give this MZ2/EI.

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