1. The number of independent equations to be satisfied for static equilibrium of a plane
structure is
a) 1
b) 2
c) 3
d) 6
Ans: c
2. If there are m unknown member forces, r unknown reaction components and j number
...
1. The number of independent equations to be satisfied for static equilibrium of a plane
structure is
a) 1
b) 2
c) 3
d) 6
Ans: c
2. If there are m unknown member forces, r unknown reaction components and j number of
joints, then the degree of static indeterminacy of a pin‐jointed plane frame is given by
a) m + r + 2j
b) m ‐ r + 2j
c) m + r ‐ 2j
d) m + r ‐ 3j
Ans: c
3. Number of unknown internal forces in each member of a rigid jointed plane frame is
a) 1
b) 2
c) 3
d) 6
Ans: c
4. Degree of static indeterminacy of a rigid‐jointed plane frame having 15 members, 3
reaction components and 14 joints is
a) 2
b) 3
c) 6
d) 8
Ans: c
5. Degree of kinematic indeterminacy of a pin‐jointed plane frame is given by
a) 2j ‐ r
b) j ‐ 2r
c) 3j ‐ r
d) 2j + r
Ans: a
6. Independent displacement components at each joint of a rigid‐jointed plane frame are
a) three linear movements
b) two linear movements and one rotation
c) one linear movement and two rotations
d) three rotations
Ans: b
7. If in a pin‐jointed plane frame (m + r) > 2j, then the frame is
a) stable and statically determinate
b) stable and statically indeterminate
c) unstable
d) none of the above
where m is number of members, r is reaction components and j is number of joints
Ans: b
8. A pin‐jointed plane frame is unstable if
a) (m + r)<2j
b) m + r = 2j
c) (m + r)>2j
d) none of the above
where m is number of members, r is reaction components and j is number of joints
Ans: a
9. A rigid‐jointed plane frame is stable and statically determinate if
a) (m + r) = 2j
b) (m + r) = 3j
c) (3m + r) = 3j
d) (m + 3r) = 3j
where m is number of members, r is reaction components and j is number of joints
Ans: c
10. The number of independent equations to be satisfied for static equilibrium in a space
structure is
a) 2
b) 3
c) 4
d) 6
Ans: d
11. The degree of static indeterminacy of a pin‐jointed space frame is given by
a) m + r ‐ 2j
b) m + r ‐ 3j
c) 3m + r ‐ 3j
d) m + r + 3j
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