All Courses
Get the App Signup / Login
Sign in Open App
Civil Engineering (CE) Exam  >  Civil Engineering (CE) Tests  >  Structural Analysis  >  Test: Method of Virtual Work: Beams & Frames - Civil Engineering (CE) MCQ

Test: Method of Virtual Work: Beams & Frames - Civil Engineering (CE) MCQ


Test Description

14 Questions MCQ Test Structural Analysis - Test: Method of Virtual Work: Beams & Frames

Test: Method of Virtual Work: Beams & Frames for Civil Engineering (CE) 2024 is part of Structural Analysis preparation. The Test: Method of Virtual Work: Beams & Frames questions and answers have been prepared according to the Civil Engineering (CE) exam syllabus.The Test: Method of Virtual Work: Beams & Frames MCQs are made for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Method of Virtual Work: Beams & Frames below.
Solutions of Test: Method of Virtual Work: Beams & Frames questions in English are available as part of our Structural Analysis for Civil Engineering (CE) & Test: Method of Virtual Work: Beams & Frames solutions in Hindi for Structural Analysis course. Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free. Attempt Test: Method of Virtual Work: Beams & Frames | 14 questions in 30 minutes | Mock test for Civil Engineering (CE) preparation | Free important questions MCQ to study Structural Analysis for Civil Engineering (CE) Exam | Download free PDF with solutions
Test: Method of Virtual Work: Beams & Frames - Question 1
Save

Δ = displacement caused when force is increased by a small amount
P = external force applied
N = internal force in the member force applied
L = length of member
A = cross-sectional area of member
E = Modulus of elasticity
Same symbol is used for partial and total differentiation and they are pretty obvious.

 What will be Δ in case of straight members using theorem?

Detailed Solution for Test: Method of Virtual Work: Beams & Frames - Question 1

Answer: d
Explanation: On substituting value of internal energy in earlier theorem, we can get this.

Test: Method of Virtual Work: Beams & Frames - Question 2
Save

Δ = displacement caused when force is increased by a small amount
P = external force applied
N = internal force in the member force applied
L = length of member
A = cross-sectional area of member
E = Modulus of elasticity
Same symbol is used for partial and total differentiation and they are pretty obvious.

 P is treated here as:-

Detailed Solution for Test: Method of Virtual Work: Beams & Frames - Question 2

Answer: b
Explanation: P is treated as variable and N is expressed in its term for partial differentiation.

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Method of Virtual Work: Beams & Frames - Question 3
Save

Δ = displacement caused when force is increased by a small amount
P = external force applied
N = internal force in the member force applied
L = length of member
A = cross-sectional area of member
E = Modulus of elasticity
Same symbol is used for partial and total differentiation and they are pretty obvious.

Force P is applied in the direction of Δ
State whether the above statement is true or false.

Detailed Solution for Test: Method of Virtual Work: Beams & Frames - Question 3

Answer: a
Explanation: P is applied in above said direction. That is how we have been calculating the work done till now.

Test: Method of Virtual Work: Beams & Frames - Question 4
Save

Δ = displacement caused when force is increased by a small amount
P = external force applied
N = internal force in the member force applied
L = length of member
A = cross-sectional area of member
E = Modulus of elasticity
Same symbol is used for partial and total differentiation and they are pretty obvious.

 N is caused by:- 
Detailed Solution for Test: Method of Virtual Work: Beams & Frames - Question 4

Answer: c
Explanation: It is caused by both the constant external force and variable P.
A beam has been subjected to gradually applied load P1 and P2 causing deflection Δ1 and Δ2.
Gradual increase of dp1 causes subsequent deflection of dΔ1 and dΔ2.

Test: Method of Virtual Work: Beams & Frames - Question 5
Save

Δ = displacement caused when force is increased by a small amount
P = external force applied
N = internal force in the member force applied
L = length of member
A = cross-sectional area of member
E = Modulus of elasticity
Same symbol is used for partial and total differentiation and they are pretty obvious.

What will be the external work performed during application of load?
Detailed Solution for Test: Method of Virtual Work: Beams & Frames - Question 5

Answer: a
Explanation: Since loads are gradually applied, work done will be average load times deflection. We can also find by integration.

Test: Method of Virtual Work: Beams & Frames - Question 6
Save

Δ = displacement caused when force is increased by a small amount
P = external force applied
N = internal force in the member force applied
L = length of member
A = cross-sectional area of member
E = Modulus of elasticity
Same symbol is used for partial and total differentiation and they are pretty obvious.

What will be the work done during additional application of dp1?
Detailed Solution for Test: Method of Virtual Work: Beams & Frames - Question 6

Answer: b
Explanation: At this time p1 and p2 are already applied, only dp1 is gradually applied.

Test: Method of Virtual Work: Beams & Frames - Question 7
Save

Δ = displacement caused when force is increased by a small amount
P = external force applied
N = internal force in the member force applied
L = length of member
A = cross-sectional area of member
E = Modulus of elasticity
Same symbol is used for partial and total differentiation and they are pretty obvious.

Additional work done due to application of dp1 is p1 dΔ1 + p2 dΔ2.
Sate whether the above statement is true or false.
Detailed Solution for Test: Method of Virtual Work: Beams & Frames - Question 7

Answer: a
Explanation: It is true as the third term can be ignored as it is very small.

Test: Method of Virtual Work: Beams & Frames - Question 8
Save

Δ = displacement caused when force is increased by a small amount
P = external force applied
N = internal force in the member force applied
L = length of member
A = cross-sectional area of member
E = Modulus of elasticity
Same symbol is used for partial and total differentiation and they are pretty obvious.

What will be the work done if all three forces are place at once on the beam?
Detailed Solution for Test: Method of Virtual Work: Beams & Frames - Question 8

Answer: d
Explanation: Now, since all the loads are gradually applied, all will have a factor of half.

Test: Method of Virtual Work: Beams & Frames - Question 9
Save

Δ = displacement caused when force is increased by a small amount
P = external force applied
N = internal force in the member force applied
L = length of member
A = cross-sectional area of member
E = Modulus of elasticity
Same symbol is used for partial and total differentiation and they are pretty obvious.

What will be change in work done in both case on initial application of load?
Detailed Solution for Test: Method of Virtual Work: Beams & Frames - Question 9

Answer: d
Explanation: We will get this by just subtracting two works done. This will be termed as dw.

Test: Method of Virtual Work: Beams & Frames - Question 10
Save

Δ = displacement caused when force is increased by a small amount
P = external force applied
N = internal force in the member force applied
L = length of member
A = cross-sectional area of member
E = Modulus of elasticity
Same symbol is used for partial and total differentiation and they are pretty obvious.

Which of the following is equal to Δ1?
Detailed Solution for Test: Method of Virtual Work: Beams & Frames - Question 10

Answer: d
Explanation: Just substitute value of p2d Δ2 in dw using one of the earlier equation

Test: Method of Virtual Work: Beams & Frames - Question 11
Save

X is taken along the axis of beam
1 = external virtual unit load acting on the beam with direction same as that of Δ.
m = internal virtual moment in beam.
Δ = external displacement of the point caused by the real loads.
M = internal moment caused by the real loads.
E = modulus of elasticity .
I = moment of inertia of cross-sectional area.

  Which of the following term is integrated to calculate Δ.
Detailed Solution for Test: Method of Virtual Work: Beams & Frames - Question 11

Answer: a
Explanation: To calculate Δ we equate work done on both side which will mean m multiplied by angular displacement which is M/EI.

Test: Method of Virtual Work: Beams & Frames - Question 12
Save

X is taken along the axis of beam
1 = external virtual unit load acting on the beam with direction same as that of Δ.
m = internal virtual moment in beam.
Δ = external displacement of the point caused by the real loads.
M = internal moment caused by the real loads.
E = modulus of elasticity .
I = moment of inertia of cross-sectional area.

If L is the length of beam, then what are the upper and lower limits of the above integration?
Detailed Solution for Test: Method of Virtual Work: Beams & Frames - Question 12

Answer: c
Explanation: Integration is done all over the beam, as it will give the work done

Test: Method of Virtual Work: Beams & Frames - Question 13
Save

X is taken along the axis of beam
1 = external virtual unit load acting on the beam with direction same as that of Δ.
m = internal virtual moment in beam.
Δ = external displacement of the point caused by the real loads.
M = internal moment caused by the real loads.
E = modulus of elasticity .
I = moment of inertia of cross-sectional area.

Generally, in doing such integrations in which of the following’s term is m expressed?
Detailed Solution for Test: Method of Virtual Work: Beams & Frames - Question 13

Answer: d
Explanation: Since we have to integrate wrt x, we express m in terms of x.

Test: Method of Virtual Work: Beams & Frames - Question 14
Save

X is taken along the axis of beam
1 = external virtual unit load acting on the beam with direction same as that of Δ.
m = internal virtual moment in beam.
Δ = external displacement of the point caused by the real loads.
M = internal moment caused by the real loads.
E = modulus of elasticity .
I = moment of inertia of cross-sectional area.

 Which of the following term does 1.Δ represents?
Detailed Solution for Test: Method of Virtual Work: Beams & Frames - Question 14

Answer: b
Explanation: Term shown above basically reprents virual load multiplied by displacement.

34 videos|140 docs|31 tests
Join Course
Information about Test: Method of Virtual Work: Beams & Frames Page
In this test you can find the Exam questions for Test: Method of Virtual Work: Beams & Frames solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Method of Virtual Work: Beams & Frames, EduRev gives you an ample number of Online tests for practice

Top Courses for Civil Engineering (CE)

34 videos|140 docs|31 tests
Join Course
Download as PDF

Top Courses for Civil Engineering (CE)

Important Questions for Method of Virtual Work: Beams & Frames

Find all the important questions for Method of Virtual Work: Beams & Frames at EduRev.Get fully prepared for Method of Virtual Work: Beams & Frames with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Method of Virtual Work: Beams & Frames syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Method of Virtual Work: Beams & Frames resources.

Method of Virtual Work: Beams & Frames MCQs with Answers

Prepare for the Method of Virtual Work: Beams & Frames within the Civil Engineering (CE) exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Method of Virtual Work: Beams & Frames Structural Analysis

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Method of Virtual Work: Beams & Frames with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Signup to see your scores go up
within 7 days!
Takes less than 10 seconds to signup