Bissoy.com
Doctors Medicines MCQs Q&A

What is the number of kinematic indeterminacy for the building frame as shown in the figure when members are inextensible:

What is the number of kinematic indeterminacy for the building frame as shown in the figure when members are inextensible: Correct Answer 10

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 mombers & J = No. of joints

Explanation:

[ src="//storage.googleapis.com/tb-img/production/20/07/F1_A.M_25.6.20_Pallavi_D%209.png" style=" width: 116px; height: 112px;">

Given,

J = 9, r = 7

∴ Dk = 3j - r = 27 - 7 = 20

For members are extensible, Dk = 20 - 10 =10

Related Questions

Study the following statements.i) The displacement method is more useful when degree of kinematic indeterminacy is greater than the degree of static indeterminacy.ii) The displacement method is more useful when degree of kinematic indeterminacy is less than the degree of static indeterminacy.iii) The force method is more useful when degree of static indeterminacy is greater than the degree of kinematic indeterminacy.iv) The force method is more useful when degree of static indeterminacy is less than the degree of kinematic indeterminacy.The correct answer is
Six buildings L. M, N, X, Y and Z are in a circle facing the centre. Each building is exactly opposite another one. Building X is not immediately next to either Building M or Building Z. Building M is to Building Y's immediate right/ Building N is exactly opposite Building M. Building L, which is opposite Building X, has Building Z to its immediate right. Which of the following buildings is located to Building Z's immediate right?
Six buildings ‘L’, ‘M’, ‘N’, ‘Y’ and ‘Z’ stand in a circle facing the centre. Each building is exactly opposite another one. Building ‘X’ is NOT immediately next to either building ‘M’ or ‘Z’. Building ‘M’ is to building Y’s immediate right. Building ‘N’ is exactly opposite building ‘M’. Building ‘L’, which is opposite building ‘X’, has building ‘Z’ to its immediate right. Which of the following buildings is located between building ‘L’ and ‘Y’?  
Six buildings L, M, N, X, Y, and Z stand in a circle facing the centre. Each building is exactly opposite another one. Building X is not immediately next to either building M or Z. Building M is to building Y’s immediate right. Building N is exactly opposite building M. Building L which is opposite building X, has building Z to its immediate right. Which of the following buildings is located to building Z’s immediate right?
Six buildings L, M, N, X, Y and Z stand in a circle facing the centre. Each building is exactly opposite another one. Building X is not immediately next to either building M or Z. Building M is to building Y’s immediate right. Building N is exactly opposite building M. Building L, which is opposite building X, has building Z to its immediate right. Which of the following buildings is located to building X’s immediate right?
A planar truss tower structure is shown in the figure. Consider the following statements about the external and internal determinacies of the truss. P. Externally determinate Q. External static indeterminacy = 1 R. External Static Indeterminacy = 2 S. Internally Determinate T. Internal Static Indeterminacy = 1 U. Internal Static Indeterminacy = 2 Which one of the following options is correct?
The degree of static indeterminacy NS and the degree of kinematic indeterminacy, NK for the plane frame as shown neglecting axial deformation are given by
Consider the following statements: 1. When the number of members (n) and joints (j) are such that the equation n = (2j — 3) is satisfied, the framed structure is said to be a perfect structure. 2. In a redundant frame, the number of members is less than that required for a perfect frame. 3. If, in a framed structure, the number of members provided is more than that required for a perfect frame, it is called as a deficient frame. Which of the above statements is/are correct ? (a) (b) (c) (d) 
Consider the frame shown in figure. If the axial and shear deformations in different members of the frame are assumed to be negligible the reduction in the degree of kinematical indeterminacy would be equal to
Determine the degree of static and kinematic indeterminacy of the frame structure as shown in the figure.