Which of the following methods of structural analysis is a force method?

Question

Question

This question was previously asked in

BPSC AE Paper 5 (Civil Engineering) 2019 Official Paper

Answer 1

Concept:

In the force method of analysis:

Primary unknown are 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