Consider the following statements:1. The displacement method is more u...
Force method is useful when,
Ds < Dk
Displacement method is useful when,
Dk < Ds
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Consider the following statements:1. The displacement method is more u...
Explanation:
The displacement method and the force method are two methods used for analyzing indeterminate structures. The degree of static indeterminacy refers to the number of redundant forces in a structure, while the degree of kinematic indeterminacy refers to the number of unknown displacements in a structure.
1. The displacement method is more useful when degree of kinematic indeterminacy is greater than the degree of static indeterminacy:
This statement is true because the displacement method is based on the assumption that the structure deforms in a unique and known manner under loading. In structures with a greater degree of kinematic indeterminacy, there are more unknown displacements to be solved for, making the displacement method more useful.
2. The displacement method is more useful when degree of kinematic indeterminacy is less than degree of static indeterminacy:
This statement is false because in a structure with a lesser degree of kinematic indeterminacy, there are fewer unknown displacements to be solved for, making the force method more useful.
3. The force method is more useful when degree of static indeterminacy is greater than the degree of kinematic indeterminacy:
This statement is true because the force method is based on the assumption that the structure deforms in a unique and known manner under loading, and the redundant forces are found by solving the equilibrium equations. In structures with a greater degree of static indeterminacy, there are more redundant forces to be solved for, making the force method more useful.
4. The force method is more useful when degree of static indeterminacy is less than the degree of kinematic indeterminacy:
This statement is false because in a structure with a lesser degree of static indeterminacy, there are fewer redundant forces to be solved for, making the displacement method more useful.
Therefore, the correct answer is option 'D': 2 and 4.