Question
Download Solution PDFForce method in structural analysis always ensures
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
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. The Theorem of Three Moments 3. Column analogy method 4. Flexibility matrix method 5. Castigliano’s Theorem |
Example: 1. Slope deflection method 2. Moment distribution method 3. Kani’s method 4. Stiffness matrix method |
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