This set of Structural Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Method of Virtual Work: Trusses and Castigliano’s Theorem”.
N = normal force
n = Internal virtual normal force
Δ = Displacement of joints by real loads
L = length of a member
A = cross-sectional area of member
E = modulus of elasticity of a member
1. Internal deformation caused by real loads will be in a linear elastic member:-
a) 1⁄4 NL/AE
b) 1⁄3 NL/AE
c) 1⁄2 NL/AE
d) NL/AE
View Answer
Explanation: Since it is a linear elastic material, we can use various relationships.
2. What will be the value of Δ in a member:-
a) Σ 1⁄4 nNL/AE
b) Σ 1⁄3 nNL/AE
c) Σ 1⁄2 nNL/AE
d) Σ nNL/AE
View Answer
Explanation: Just substituting the earlier equation in the main equation, we can get it.
3. What is change in length of member if temperature increases by ΔT and expansion coefficient is ά?
a) 1⁄4 ά ΔTL
b) 1⁄3 ά ΔTL
c) 1⁄2 ά ΔTL
d) ά ΔTL
View Answer
Explanation: Change in length is directly proportional to change in temperature and expansion coefficient with 1 as proportionality coefficient.
4. What will be the value of Δ in a member:-
a) Σ 1⁄4 nά ΔTL
b) Σ 1⁄3 nά ΔTL
c) Σ 1⁄2 nά ΔTL
d) Σ nά ΔTL
View Answer
Explanation: Just substituting the earlier equation in the main equation, we can get it.
5. What is the unit of virtual unit load?
a) N
b) Lb
c) kip
d) Anything
View Answer
Explanation: Its unit can be anything as it will cancel with that of n.
Δ = displacement caused when force is increased by a small amount.
6. This theorem is applicable when temperature is varying. State whether the above sentence is true or false.
a) True
b) False
View Answer
Explanation: It is applicable only when temperature is not changing.
7. In which of the following cases, is this theorem applicable?
a) Yielding support, non-linear elastic material
b) Non-yielding support, linear elastic material
c) Yielding support, linear elastic material
d) Non-yielding support, non-linear elastic material
View Answer
Explanation: It is applicable in cases of non-yielding support and non-linear elastic material.
8. If any of the external forces acting increases, then internal energy would:-
a) Decrease
b) Increase
c) Not change
d) Become -ve
View Answer
Explanation: Due to increase in force, external work done would increase which would cause an increase in strain energy.
9. What will be Δ if change in force is DP and du is change in internal energy?
a) 1⁄4 du/dp
b) 1⁄3 du/dp
c) 1⁄2 du/dp
d) du/dp
View Answer
Explanation: On equating internal energy after changing order of application of forces.
10. This theorem is applicable when non-conservative forces are applied.
State whether the above statement is true or file.
a) True
b) False
View Answer
Explanation: It is only applicable when forces are of conservative type.
Sanfoundry Global Education & Learning Series – Structural Analysis.
To practice all areas of Structural Analysis, here is complete set of 1000+ Multiple Choice Questions and Answers.
- Practice Civil Engineering MCQs
- Apply for Civil Engineering Internship
- Apply for Structural Analysis Internship
- Buy Civil Engineering Books
- Buy Structural Analysis Books
