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Influence Lines For Beams - Free MCQ Practice Test with solutions, GATE


MCQ Practice Test & Solutions: Test: Influence Lines For Beams (10 Questions)

You can prepare effectively for Civil Engineering (CE) Structural Analysis with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Influence Lines For Beams". These 10 questions have been designed by the experts with the latest curriculum of Civil Engineering (CE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

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Test: Influence Lines For Beams - Question 1

While writing influence line equations, left most point is always considered as origin and following sign convention is followed.

Q. If on ILD analysis peak force comes out to be 2 KN, then what will be the peak force if loading is 2KN?

Detailed Solution: Question 1

Answer: d
Explanation: Peak force will be load multiplied by earlier peak load i.e. 2*2.

Test: Influence Lines For Beams - Question 2

Following figure is for Q2-Q7.
AC= 1m, CB =3 m
C is just an arbitrary point. A is pin support and B is a roller type support.

Q. What will be the equation of ILD of shear force at point C for CB part?

Detailed Solution: Question 2

Answer: a
Explanation: Just assume force at any point between BC and conserve moment about point B.

Test: Influence Lines For Beams - Question 3

Following figure is for Q2-Q7.
AC= 1m, CB =3 m
C is just an arbitrary point. A is pin support and B is a roller type support.

Q. What will be the equation of ILD of shear force at point C for AC part?

Detailed Solution: Question 3

Answer: c
Explanation: Just assume force at any point between AC and conserve moment about point A.

Test: Influence Lines For Beams - Question 4

Following figure is for Q2-Q7.
AC= 1m, CB =3 m
C is just an arbitrary point. A is pin support and B is a roller type support.

Q. If we have to apply a concentrated load in the above shown beam, such that shear at C becomes max. , where should we apply that load?

Detailed Solution: Question 4

Answer: c
Explanation: If we draw ILD according to the above given equations, we will see that peak of ILD comes at point C

Test: Influence Lines For Beams - Question 5

Following figure is for Q2-Q7.
AC= 1m, CB =3 m
C is just an arbitrary point. A is pin support and B is a roller type support.

Q. If a concentrated load of 50KN is applied at point C, then what will be the shear developed at point C?

Detailed Solution: Question 5

Answer: c
Explanation: Position of ILD at point C is 0.75 (peak). So, shear developed will be 0.75 multiplied by 50KN.

Test: Influence Lines For Beams - Question 6

Following figure is for Q2-Q7.
AC= 1m, CB =3 m
C is just an arbitrary point. A is pin support and B is a roller type support.

Q. What will be the shear developed at point C if a uniform load of 10KN/m is applied between point B and C?

Detailed Solution: Question 6

Answer: b
Explanation: In case of uniform load, area of ILD curve multiplied by uniform load gives the shear.

Test: Influence Lines For Beams - Question 7

Following figure is for Q2-Q7.
AC= 1m, CB =3 m
C is just an arbitrary point. A is pin support and B is a roller type support.

Q. If both, a load of 50KN at point C and a uniform load of 10KN/m between CB acts, then what will be the shear generated at point C?

Detailed Solution: Question 7

Answer: a
Explanation: Net shear generated will be the sum of individually generated shear which has been already calculated earlier.

Test: Influence Lines For Beams - Question 8

Following figure is for Q8-Q10.
AB= 2m, BC= 3m, CD= 3m
B is pin support, D is roller and C is just an arbitrary point.

Q. What will be the ILD equation for ILD of shear at point B?

Detailed Solution: Question 8

Answer: d
Explanation: Apply unit load at any point at a distance X and conserve moment about point D

Test: Influence Lines For Beams - Question 9

Following figure is for Q8-Q10.
AB= 2m, BC= 3m, CD= 3m
B is pin support, D is roller and C is just an arbitrary point.

Q. What will be the ILD equation for ILD of shear at point C for AB part of beam?

Detailed Solution: Question 9

Answer: a
Explanation: Apply unit load between point A and B and conserve moment about point B.

Test: Influence Lines For Beams - Question 10

Following figure is for Q8-Q10.
AB= 2m, BC= 3m, CD= 3m
B is pin support, D is roller and C is just an arbitrary point.

Q. What will be the ILD equation for ILD of shear at point D?

Detailed Solution: Question 10

Answer: b
Explanation: Apply load at any point and conserve moment about point B.

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