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Degree of kinematic indeterminacy of a pin jointed plane frame is given by
- a)2j – r
- b)j – 2r
- c)3j – r
- d)2j + r
Correct answer is option 'A'. Can you explain this answer?
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Degree of kinematic indeterminacy of a pin jointed plane frame is give...
Concept:
If the number of unknown displacement components are greater than the number of compatibility equations, for those structures additional equations based on equilibrium must be written in order to obtain sufficient number of equations for the determination of all the unknown displacement components. The number of these additional equations necessary is known as degree of kinematic indeterminacy or degree of freedom of the structure.
Where
Dk = Kinematic Indeterminacy
J = number of joints
J’ = Number of hybrid joints
re = Number of external reactions
rr = Number of released reactions
If the number of unknown displacement components are greater than the number of compatibility equations, for those structures additional equations based on equilibrium must be written in order to obtain sufficient number of equations for the determination of all the unknown displacement components. The number of these additional equations necessary is known as degree of kinematic indeterminacy or degree of freedom of the structure.
Where
Dk = Kinematic Indeterminacy
J = number of joints
J’ = Number of hybrid joints
re = Number of external reactions
rr = Number of released reactions
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Community Answer
Degree of kinematic indeterminacy of a pin jointed plane frame is give...
The degree of kinematic indeterminacy of a pin-jointed plane frame can be calculated using the formula:
Degree of Kinematic Indeterminacy = 3j - 2m
Where j is the total number of joints in the frame and m is the total number of members in the frame.
Since a pin-jointed plane frame is a 2D structure, we can assume that there are 3 reactions at each support (2 vertical and 1 horizontal). Therefore, the total number of reactions (m) is equal to 3 times the number of supports.
Hence, the formula for the degree of kinematic indeterminacy of a pin-jointed plane frame is:
Degree of Kinematic Indeterminacy = 3j - 6
Therefore, the given statement "Degree of kinematic indeterminacy of a pin jointed plane frame is given by 2j" is incorrect.
Degree of Kinematic Indeterminacy = 3j - 2m
Where j is the total number of joints in the frame and m is the total number of members in the frame.
Since a pin-jointed plane frame is a 2D structure, we can assume that there are 3 reactions at each support (2 vertical and 1 horizontal). Therefore, the total number of reactions (m) is equal to 3 times the number of supports.
Hence, the formula for the degree of kinematic indeterminacy of a pin-jointed plane frame is:
Degree of Kinematic Indeterminacy = 3j - 6
Therefore, the given statement "Degree of kinematic indeterminacy of a pin jointed plane frame is given by 2j" is incorrect.
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Degree of kinematic indeterminacy of a pin jointed plane frame is given bya)2j – rb)j – 2rc)3j – rd)2j + rCorrect answer is option 'A'. Can you explain this answer?
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