Civil Engineering - Theory of Structures - Discussion

16. 

The degree of indeterminacy of the frame in the given figure, is

[A]. zero
[B]. 1
[C]. 2
[D]. 3

Answer: Option B

Explanation:

No answer description available for this question.

Sowmya said: (Feb 13, 2015)  
m+r-2j = 3+6-8 = 1.

Emad Ernest said: (Apr 21, 2015)  
We have x & y reaction at each of a, b & c giving 6 unknowns. Then the correct answer must be 3. But if the question was "Number of side ways" then the answer is 1.

Akash said: (Sep 4, 2016)  
M + r - 2j, for true.

Mamun said: (Aug 25, 2018)  
Here m+r-2j = 3+6-8 = 1.

Aman Gupta said: (Sep 5, 2018)  
Its frame not a trus so formula= 3m+re-3j.

(3*3) +4- (3*4) =1.

Getasew said: (Sep 16, 2018)  
m = 3.
r = 6,
j = 4,
= 6+3-2*4.
= 1.

Abhik said: (Mar 26, 2019)  
M+r -2j is applied to truss.

Saqib said: (Jan 10, 2020)  
2j-r = 2x4-9 = 1.

Saqib said: (Jan 10, 2020)  
M+r-2j= 3+6-2x4 = 1.

Waleed said: (Jan 19, 2021)  
It should be zero.

Omobola said: (Jul 29, 2021)  
I think it is (3*3) + 4- (3*4) = 0.

Muhammad Usman said: (Nov 23, 2021)  
Since it is frame no of the internal loop is zero the reaction and the point where the load is acting like hinge then total indeterminacy is equal to external +internal.

External=number of reaction - equilibrium equation=6-3=3.
Internal=3c-rection realized by a hinge.

Here c=number of closed loop = 0.
Rr=reaction released by hinge = sum (m-1).

Here m is 3 and only one hinge so rr=3-1=2.
Internal indertminance =3*0-2=-2.

Total indeterminancy=3-2=1.

Jaydip Tiwari said: (Jan 26, 2022)  
I think M+r-2j is used for Truss not for FRAME.

B.Singh said: (Apr 5, 2022)  
Degree of external indeterminacy = r - 3 = 6 - 3 = 3.
Degree of internal indeterminacy = m - (2j - 3) = 3 - (2*4 - 3) = -2,
Degree of static indeterminacy = External + Internal = 3 -2 = 1.

Alternatively,
Degree of static indeterminacy = (m + r) - 2j = (3 + 6) - 2 * 4 = 1.

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