Structural Analysis Questions and Answers – DKI and DSI – III

This set of Structural Analysis Problems focuses on “DKI and DSI-III”.

1. Which of the following is the correct equation for DSI of a truss?
a) b + r – 2J
b) b + r + 2J
c) b – r – 2J
d) b – r – 2J

Explanation: b and r gives no. of unknown forces and 2j is the no. of equations available.
Here, b = no. of members in a structure
r = no. of unknown reactions in member
j = no. of joints in the structure
c = no. of extra equations in the structure

2. Which of the following is a correct equation for the DSI of a frame?
a) 3b + r + 3j
b) 3b + r – 3j
c) 3b – r – 3j
d) depends upon structure

Explanation: It depends upon whether that frame is planar or space.
Here, b = no. of members in a structure
r = no. of unknown reactions in member
j = no. of joints in the structure
c = no. of extra equations in the structure

3. Which of the following is a correct equation for the DSI of a planar frame?
a) 3b + r + 3j-c
b) 3b + r – 3j-c
c) 3b – r – 3j-c
d) depends upon structure

Explanation: Each member will give 3 unknowns and each joint will 3 equations.
Here, b = no. of members in a structure
r = no. of unknown reactions in member
j = no. of joints in the structure
c = no. of extra equations in the structure

4. Tree method is used to find DSI.
State whether the above statement is true or false.
a) true
b) false

Explanation: Tree method is used to find DSI in planar frame structures.

5. How many degrees of freedom are counted for a fixed support while calculating DKI?
a) 0
b) 1
c) 2
d) 3

Explanation: In fixed support, there is no possibility of deflection, so no degree of freedom is counted.
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6. How many degrees of freedom are counted for a pin support while calculating DKI?
a) 0
b) 1
c) 2
d) 3

Explanation: In fixed support, there is one possibility of rotation, so no degree of freedom is counted.

7. How many degrees of freedom are counted for a roller support while calculating DKI?
a) 0
b) 1
c) 2
d) 3

Explanation: In roller support, there are two possibilities of deflection, so two degree of freedom is counted.

8. How many degrees of freedom are counted for a fixed support while calculating DKI?
a) 0
b) 1
c) 2
d) 3

Explanation: In fixed support, there is no possibility of deflection, so no degree of freedom is counted.

9. How many degrees of freedom are counted for an internal pin support while calculating DKI?
a) 0
b) 1
c) 2
d) 3

Explanation: In internal pin support, there is only one possibility of deflection, so no degree of freedom is counted.

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