Question

The slope deflection in structural analysis fall in the category of
1. Force method
2. Flexibility method
3. Consistent deformation method
4. Stiffness method

Answer 1

Correct Answer - Option 4 : Stiffness method

Explanation:

• In the slope deflection method, the unknowns are slope and deflection (i.e. independent displacement). so if kinematic indeterminacy is less, then the slope deflection method is used to find the end moment quickly.
• The number of simultaneous equations required in the slope deflection method to find unknown is equal to kinematic indeterminacy.

Important Points about Slope Deflection Method:

1. The slope deflection equation will give the relationship between bending moment rotation and deflections.
2. The number of simultaneous equations to be solved in the slope deflection method is equal to the number of joints in the structure.
3. In the slope deflection equations, the deformations are caused by bending moment only.
4. The slope deflection method of structural analysis is a method of displacement.

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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	Example: 1. Slope deflection method 2. Moment distribution method 3. Kani’s method 4. Stiffness matrix method