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Multiple displacement methods are used in structural analysis. Which of the following is not one of these?

Multiple displacement methods are used in structural analysis. Which of the following is not one of these? Correct Answer <span style="">Method of consistent deformations</span>

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

Force Methods

Displacement Methods

Types of indeterminacy: Static Indeterminacy

Types of indeterminacy: Kinematic Indeterminacy

Governing equation: Compatibility Equations

Governing equations: Equilibrium Equations

Force displacement relations: Flexibility matrix

Force displacement relations: Stiffness matrix

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

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