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Page 1 METHODS OF STRUCTURAL ANALYSIS • Force Method: The force method of analysis, also known as the method of consistent deformation, uses equilibrium equations and compatibility conditions to determine the unknowns in statically indeterminate structures. This means that there is one reaction force that can be removed without jeopardizing the stability of the structure. • Types of Force Method: Castigliano’s Method or Strain Energy Method Virtual work method Column Analogy Method Flexibility Matrix Method • Displacement Method: In the displacement method of analysis, the primary unknowns are the displacements. In this method, first force -displacement relations are computed and subsequently equations are written satisfying the equilibrium conditions of the structure. • Types of Displacement Method: Slope Deflection Method. Moment Distribution Method. Direct Stiffness Method. • Approximate Methods: Portal Method. Cantilever Method. Points of Inflection Method. Kani's Method.Read More
FAQs on Short Notes: Methods of Structural Analysis - Short Notes for Civil Engineering - Civil Engineering (CE)
| 1. What are the different methods of structural analysis? |  |
Ans. The different methods of structural analysis include the finite element method, the matrix stiffness method, the flexibility method, the moment distribution method, and the force method.
| 2. How does the finite element method work in structural analysis? | |
Ans. The finite element method divides a complex structure into smaller, simpler elements to analyze the behavior of the entire structure. It uses mathematical equations to calculate the forces and displacements within each element.
| 3. What is the matrix stiffness method in structural analysis? | |
Ans. The matrix stiffness method involves assembling the stiffness matrix of a structure by considering the stiffness of each element and their connectivity. This method is commonly used in analyzing truss and frame structures.
| 4. When is the flexibility method used in structural analysis? | |
Ans. The flexibility method is typically used when analyzing indeterminate structures where the number of unknown reactions exceeds the number of equilibrium equations. It involves calculating the flexibility coefficients to determine the unknown displacements.
| 5. How is the moment distribution method applied in structural analysis? | |
Ans. The moment distribution method is used to analyze determinate structures by distributing moments at the joints until equilibrium is achieved. It is an iterative process that considers the stiffness of each member in the structure.
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