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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 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)  Correct Answer 1 only

Statement I- True

Perfect frames are the one which can be analysed using the three conditions of static equilibrium.

For these

n= 2j – 3

Statement II- False

Redundant frame is a frame having more number of members than required such that there is always a member in which force cannot be computed using equations of static equilibrium, we need other equation like compatibility equations to find force in redundant members. For these,

 n > 2j-3

Statement III- False

Deficient frame is frame having less number of members than required for perfect frame. For these,

n <  2j-3.

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