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What is the total degree of indeterminacy both internal and external of the plane frame shown below?
- a)12
- b)15
- c)18
- d)21
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
What is the total degree of indeterminacy both internal and external ...
Static Indeterminacy (DS)
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DS = Dse + Dsi
Dse = External static indeterminacy
Dsi = Internal static indeterminacy
Dse = Re – R
Where
Re = Total number of independent support reaction
R = Total number of available equations of static equilibrium
Dsi = 3 × C - Rr
where
C = number of closed loops
Rr = total number of internal reactions released.
Alternative
Ds = 3 × C – R’
Where,
C = number of cuts required to make it cantilever beam.
R’ = number of reactions applied to make all joints rigid and number of restrained required to make the hinged joint rigid (m - 1)
m = number of members meeting at the hinge
C = 7
R’ = 2 × (m - 1)
R’ = 2 × (4 - 1)
R’ = 6
∴ Ds = 3 × 7 – 6
Ds = 15
Alternative
Dse = 3 × 4 – 3
Dse = 9
Dsi = 3 × 4 – (2 × 3)
Dsi = 12 – 6 = 6
Ds = Dse + Dsi
= 9 + 6
= 15
Most Upvoted Answer
What is the total degree of indeterminacy both internal and external ...
Static Indeterminacy (DS)
DS = Dse + Dsi
Dse = External static indeterminacy
Dsi = Internal static indeterminacy
Dse = Re – R
Where
Re = Total number of independent support reaction
R = Total number of available equations of static equilibrium
Dsi = 3 × C - Rr
where
C = number of closed loops
Rr = total number of internal reactions released.
Alternative
Ds = 3 × C – R’
Where,
C = number of cuts required to make it cantilever beam.
R’ = number of reactions applied to make all joints rigid and number of restrained required to make the hinged joint rigid (m - 1)
m = number of members meeting at the hinge
C = 7
R’ = 2 × (m - 1)
R’ = 2 × (4 - 1)
R’ = 6
∴ Ds = 3 × 7 – 6
Ds = 15
Alternative
Dse = 3 × 4 – 3
Dse = 9
Dsi = 3 × 4 – (2 × 3)
Dsi = 12 – 6 = 6
Ds = Dse + Dsi
= 9 + 6
= 15
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What is the total degree of indeterminacy both internal and external of the plane frame shown below?a)12b)15c)18d)21Correct answer is option 'B'. Can you explain this answer?
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What is the total degree of indeterminacy both internal and external of the plane frame shown below?a)12b)15c)18d)21Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about What is the total degree of indeterminacy both internal and external of the plane frame shown below?a)12b)15c)18d)21Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the total degree of indeterminacy both internal and external of the plane frame shown below?a)12b)15c)18d)21Correct answer is option 'B'. Can you explain this answer?.
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