1. The number of equilibrium equations for the following space frame is ________
a) 1
b) 3
c) 6
d) 4
Explanation: There are six equilibrium equations available for space frames are as follows ∑Fx=0, ∑Fy=0, ∑Fz=0, ∑Mx=0, ∑My=0, and ∑Mz = 0.
2. Which of the following is statically determinate structure?
a) Fixed beam
b) Continuous beam
c) Two hinged arch
d) Double overhanging
Explanation: Double overhanging can be analysed by available three equilibrium equations i.e. ∑Fx=0, ∑Fy=0, and ∑M = 0.
3. External Static Indeterminacy of the following beam is _______
a) 2
b) 4
c) 3
d) 0
Explanation: This is case of vertical loading only. Static indeterminacy = (2+2+1)–2 = 3.
4. Static Indeterminacy for rigid jointed plane frame is given by __________
a) (m + r) – 2j
b) (m + r) – 3j
c) (3m + r) -3j
d) (6m + r) – 6j
Explanation: Static Indeterminacy for rigid jointed plane frame is given by (3m + r) -3j. Where m, r and j stands for number of members, reactions and number of joints respectively.
5. Stresses will develop due to change in temperature in statically determinate structure.
a) True
b) False
Explanation: Stresses will develop due to change in temperature, sinking of support and lack of fit in statically indeterminate structure only.
6. Statically indeterminate structure requires _______
a) Equilibrium Conditions Only
b) Compatibility Conditions Only
c) Equilibrium and Compatibility Condition together
d) Cannot be solved analytically
Explanation: Determination of unknown forces or reactions in statically indeterminate structure requires Equilibrium and Compatibility Condition together.
7. Indeterminate structures are economical than determinate structure.
a) True
b) False
Explanation: Bending Moment is less in indeterminate structure as compared to determinate structure for the same set of loadings. Thus, lower bending moment value requires lesser depth of sections which ultimately reduces the cross sectional area of the structure. Hence, indeterminate structure are more economical than determinate structure.
8. To convert indeterminate structure to a determinate structure, number of force release to be provided equals to _______
a) Number of equilibriums equations for the respective structures available
b) External Static Indeterminacy only
c) Internal Static Indeterminacy only
d) Static Indeterminacy
Explanation: To convert indeterminate structure to a determinate structure, Number of force releases to be provided equals to the static indeterminacy of the structure.
9. Static Indeterminacy for pin jointed plane frame is given by ________
a) (m + r) – 2j
b) (m + r) – 3j
c) (3m + r) -3j
d) (6m + r) – 6j
Explanation: Static Indeterminacy for plane jointed plane frame is given by (m + r) -2j. Here, m – no of member, r – number of reaction, j – number of joints.
10. Force releases by Vertical Shear Hinge is _______
a) Number of member – 1
b) 3*(Number of member-1)
c) 2
d) 1
Explanation: The number of force release for vertical hinge is 1. The only force release in vertical hinge is shear force.