The following methods are used for structural analysis :1. Macaulay me...
Methods for Structural Analysis
Structural analysis is the process of determining the behavior and strength of a structure under different loading conditions. It involves analyzing the internal forces, deformations, and stability of the structure. There are several methods available for structural analysis, including:
1. Macaulay Method:- The Macaulay method is used to determine the bending moment and shear force in a beam subjected to various loading conditions.
- It involves dividing the beam into different segments and calculating the moment and shear force at each segment using a set of equations.
- This method is particularly useful for analyzing determinate structures.
2. Column Analogy Method:- The column analogy method is a simplified approach for analyzing framed structures.
- It treats the beams and columns of a structure as equivalent vertical columns and analyzes the structure using the principles of equilibrium.
- This method is based on the assumption that the structure behaves like a series of interconnected columns and can be used for both determinate and indeterminate structures.
3. Kanis Method:- The Kanis method is a graphical method used for analyzing determinate and indeterminate structures.
- It involves drawing influence lines for the structure and using them to determine the internal forces and displacements at different points.
- This method is particularly useful for analyzing trusses and frames.
4. Method of Sections:- The method of sections is used to determine the internal forces in a structure by analyzing a section of the structure in equilibrium.
- It involves cutting the structure along a section and considering the forces acting on the cut section to determine the internal forces.
- This method can be used for both determinate and indeterminate structures.
Methods for Indeterminate Structural Analysis
Indeterminate structures are those that cannot be analyzed using the principles of statics alone. They require additional methods to determine the internal forces and deformations. The methods commonly used for indeterminate structural analysis include:
1. Macaulay Method- The Macaulay method can be used for both determinate and indeterminate structures.
- It is particularly useful for analyzing beams and frames with multiple supports and loading conditions.
2. Kanis Method- The Kanis method, as mentioned earlier, is a graphical method that can be used for both determinate and indeterminate structures.
- It is particularly useful for analyzing trusses and frames.
Therefore, the correct answer is option 'c' (2 and 3) as the column analogy method (option 2) is not specifically mentioned as a method for indeterminate structural analysis.