Degree of static indeterminacy of a rigid-jointed plane frame having 15 members, 3 reaction components and 14 joints is

Study the following statements.i) The displacement method is more useful when degree of kinematic indeterminacy is greater than the degree of static indeterminacy.ii) The displacement method is more useful when degree of kinematic indeterminacy is less than the degree of static indeterminacy.iii) The force method is more useful when degree of static indeterminacy is greater than the degree of kinematic indeterminacy.iv) The force method is more useful when degree of static indeterminacy is less than the degree of kinematic indeterminacy.The correct answer is

A

(i) and (iii)

B

(ii) and (iii)

C

(i) and (iv)

D

(ii) and (iv)

A planar truss tower structure is shown in the figure. Consider the following statements about the external and internal determinacies of the truss. P. Externally determinate Q. External static indeterminacy = 1 R. External Static Indeterminacy = 2 S. Internally Determinate T. Internal Static Indeterminacy = 1 U. Internal Static Indeterminacy = 2 Which one of the following options is correct?

A

P-False; Q-True; R-False; S-False; T-False; U-True

B

P-False; Q-True; R-False; S-False; T-True; U-False

C

P-False; Q-False; R-True; S-False; T-False; U-True

D

P-True; Q-True; R-False; S-True; T-False; U-True

The degree of static indeterminacy NS and the degree of kinematic indeterminacy, NK for the plane frame as shown neglecting axial deformation are given by

A

N_S = 6, N_K= 11

B

NS = 4, NK = 6

C

NS = 6, NK = 6

D

NS = 4, NK = 4

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

Let D be a simple graph on 10 vertices such that there is a vertex of degree 1, a vertex of degree 2, a vertex of degree 3, a vertex of degree 4, a vertex of degree 5, a vertex of degree 6, a vertex of degree 7, a vertex of degree 8 and a vertex of degree 9. What can be the degree of the last vertex?

A

4

B

0

C

2

D

5

The degree of static indeterminacy of a pin-jointed space frame is given by (where m is number of unknown member forces, r is unknown reaction components and j is number of joints)

A

m + r - 2j

B

m + r - 3j

C

3m + r - 3j

D

m + r + 3j

Consider the following statements: 1. When the number of members (n) and joints (j) are such that the equation n = (2j — 3) is satisfied, the framed structure is said to be a perfect structure. 2. In a redundant frame, the number of members is less than that required for a perfect frame. 3. If, in a framed structure, the number of members provided is more than that required for a perfect frame, it is called as a deficient frame. Which of the above statements is/are correct ? (a) (b) (c) (d)

A

1, 2 and 3

B

1 only

C

2 only

D

3 only

Which method is suitable for analyzing a beam when the degree of kinematic indeterminacy is less than a degree of static indeterminacy?

A

Strain energy method

B

Virtual work method

C

Slope deflection method

D

Castigliano’s theorem (method of least work)

The equation for degree of static indeterminacy = (m + t) - 3j is true for which of the following frames, where m is the number of unknown member forces, r is unknown reaction components and j is the number of joints?

A

Rigid jointed space frame

B

Pin jointed plane frame

C

Rigid jointed plane frame

D

Pin jointed space frame

If in a pin-jointed plane frame (m + r) > 2 j (where m is number of members, r is reaction components and j is number of joints), then the frame is

A

stable and statically indeterminate

B

stable and statically determinate

C

unstable

D

None of the above

Degree of static indeterminacy of a rigid-jointed plane frame having 15 members, 3 reaction components and 14 joints is

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