Which of the following conditions form the basis of this method?a)equi...
Compatibility conditions form the basis of this method.
Explanation:
In structural analysis, the method of compatibility conditions is used to determine unknown displacements and forces in a structure. This method is based on the principle of compatibility, which states that the displacements and rotations of connected elements must be compatible with each other.
Compatibility conditions:
The compatibility conditions are derived from the assumption that the structure is a rigid body and that the deformations are small. These conditions are applied to different types of structural elements, such as beams, trusses, and frames, to determine the unknown displacements and forces.
Key points:
- The compatibility conditions are based on the assumption that the displacements of connected elements must be compatible with each other.
- These conditions are derived from the assumption that the structure is a rigid body and that the deformations are small.
- The compatibility conditions are applied to different types of structural elements, such as beams, trusses, and frames.
- By applying the compatibility conditions, the unknown displacements and forces in the structure can be determined.
- The compatibility conditions are an essential part of the method used in structural analysis to solve complex problems and determine the behavior of a structure under different loads and boundary conditions.
Therefore, option 'D' is the correct answer as the compatibility conditions form the basis of this method.