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For the plane frame as shown in the figure
The degree of kinematic indeterminacy, neglecting axial deformation, is
The degree of kinematic indeterminacy, neglecting axial deformation, is
- a)3
- b)5
- c)7
- d)9
Correct answer is option 'B'. Can you explain this answer?
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For the plane frame as shown in the figureThe degree of kinematic inde...
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 beam & 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 mombers & J = No. of joints
Dk = 3J - r + H = 3 × 4 – 5 + 1 = 8
Dk = 8 - 3 = 5
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 beam & 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 mombers & J = No. of joints
Dk = 3J - r + H = 3 × 4 – 5 + 1 = 8
Dk = 8 - 3 = 5
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For the plane frame as shown in the figureThe degree of kinematic indeterminacy, neglecting axial deformation, isa)3b)5c)7d)9Correct answer is option 'B'. Can you explain this answer?
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