1 Answers
Option 2 : Method of consistent deformations
Explanation:
In the force method of analysis:
- The primary unknown forces in the members and compatibility equations are written for displacement and rotations (which are calculated by force-displacement equations) in this method.
- Solving these equations, redundant forces are calculated. Once the redundant forces are calculated, the remaining reactions are evaluated by equations of equilibrium.
In the displacement method of analysis:
- Primary unknowns are the displacements and initially, force-displacement relations are computed and subsequently, equations are written satisfying the equilibrium conditions of the structure in this method.
- After determining the unknown displacements, the other forces are calculated satisfying the compatibility conditions and force-displacement relations.
Difference between Force & Displacement Methods
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Force Methods |
Displacement Methods |
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Types of indeterminacy: Static Indeterminacy |
Types of indeterminacy: Kinematic Indeterminacy |
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Governing equation: Compatibility Equations |
Governing equations: Equilibrium Equations |
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Force displacement relations: Flexibility matrix |
Force displacement relations: Stiffness matrix |
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Example: 1. Method of consistent deformation 2. Theorem of least work 3. Column analogy method 4. Flexibility matrix method 5. Castigliano’s Theorem- II |
Example: 1. Slope deflection method 2. Moment distribution method 3. Kani’s method 4. Stiffness matrix method 5. Castigliano’s Theorem- I |