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**Q.1 The degree of static indeterminacy of the plane frame as shown in the figure is______ [2019 : 1 Mark, Set-II]**

D

D

D

If the axial and shear deformations in different members of the frame are assumed to be negligible, the reduction in the degree of kinematic indeterminacy would be equal to [2017 : 1 Mark, Set-II]

(a) 5

(b) 6

(c) 7

(d) 8

Ans.

DOF of Joints:

When all members are extensible,

D

D

= 14 - 6 = 8

So, reduction in

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? [2017 : 2 Marks, Set-I]

(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

Ans.

D

D

= 2

D

D

(a) 11

(b) 8

(c) 3

(d) 0

Kinematic indeterminacy,

D

= 2 x 7 - 3 = 11

(a) âˆž, 0, âˆž

(b) âˆž,âˆž,âˆž

(c) 0,âˆž,âˆž

(d) âˆž,âˆž,0

Ans.

Guided roller support has 2 reactions:

For given support, kx = âˆž, k

Number of member,

m = 4

Number of external reaction,

r

Number of joint,

j=5

Number of reaction released,

r

Degree of static indeterminacy,

D

= 3 x 4 + 4 - 3 x 5 - 1

= 0

(a) zero

(b) one

(c) two

(d) unstable

Ans.

D

= (r

= (4-3)+ 3 x 0- 1

= 0

Hence, the structure is stable.

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