1. Equilibrium method
  2. Method of consistent deformations
  3. Moment distribution method
  4. Stiffness method
4 views

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

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

4 views

Related Questions