Which of the following statements are correct? i. The displacement method is more useful when degree of kinematic indeterminacy is less than the degree of static indeterminacy ii. The displacement method is more useful when degree of kinematic indeterminacy is greater 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
- A(i) and (iv)Correct
- B(i) and (iii)
- C(ii) and (iv)
- D(ii) and (iii)
Solution
Concept
When to use each method
Step-by-step solution
1. Choose the method with fewer unknowns. 2. Displacement method: Dk < Ds (i). 3. Force method: Ds < Dk (iv).
Explanation
The smaller number of unknowns is preferred.
Why the other options are wrong
(ii) and (iii) reverse the rule.
Shortcut
Fewer unknowns.
Correct answer: A) (i) and (iv)