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What is the number of kinematic indeterminacy for the building frame as shown in the figure when members are inextensible:
- a)8
- b)10
- c)12
- d)16
Correct answer is option 'B'. Can you explain this answer?
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What is the number of kinematic indeterminacy for the building frame a...
Concept:
Static Indeterminacy: If the equilibrium equations are enough to analyze for unknown reactions, the structure is said to be statically indeterminate.
Ds = Dse + Dsi
Dse = r – S
Dsi = 3 × Number of closed loop (For portal frame)
Dsi = m- 2j+ 3 (For truss structure)
Kinematic Indeterminacy: It is the total number of possible degree of freedom of all the joints.
Dk = 3J - r (For portal frame)
Dk = 2J-r (For truss structure)
where, Dse = External Indeterminacy, Dsi = Internal Indeterminacy, Dk = Kinematic Indeterminacy, r = No. of unknown reactions, S = No. of equilibrium equation, m = No. of members & J = No. of joints
Given,
J = 9, r = 7, m = 10(inextensible)
∴ Dk = 3j - r = 27 - 7 = 20
For members are extensible, Dk = 20 - 10 = 10
Static Indeterminacy: If the equilibrium equations are enough to analyze for unknown reactions, the structure is said to be statically indeterminate.
Ds = Dse + Dsi
Dse = r – S
Dsi = 3 × Number of closed loop (For portal frame)
Dsi = m- 2j+ 3 (For truss structure)
Kinematic Indeterminacy: It is the total number of possible degree of freedom of all the joints.
Dk = 3J - r (For portal frame)
Dk = 2J-r (For truss structure)
where, Dse = External Indeterminacy, Dsi = Internal Indeterminacy, Dk = Kinematic Indeterminacy, r = No. of unknown reactions, S = No. of equilibrium equation, m = No. of members & J = No. of joints
Given,
J = 9, r = 7, m = 10(inextensible)
∴ Dk = 3j - r = 27 - 7 = 20
For members are extensible, Dk = 20 - 10 = 10
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What is the number of kinematic indeterminacy for the building frame as shown in the figure when members are inextensible:a)8b)10c)12d)16Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about What is the number of kinematic indeterminacy for the building frame as shown in the figure when members are inextensible:a)8b)10c)12d)16Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the number of kinematic indeterminacy for the building frame as shown in the figure when members are inextensible:a)8b)10c)12d)16Correct answer is option 'B'. Can you explain this answer?.
What is the number of kinematic indeterminacy for the building frame as shown in the figure when members are inextensible:a)8b)10c)12d)16Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about What is the number of kinematic indeterminacy for the building frame as shown in the figure when members are inextensible:a)8b)10c)12d)16Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the number of kinematic indeterminacy for the building frame as shown in the figure when members are inextensible:a)8b)10c)12d)16Correct answer is option 'B'. Can you explain this answer?.
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