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Who proposed the Column Analogy Method used to analyse the indeterminate structures?

Who proposed the Column Analogy Method used to analyse the indeterminate structures? Correct Answer Hardy Cross

Concept:

Column Analogy Method​:

  • It is proposed by Hardy Cross.
  • It is a method used to analyze indeterminate structures specifically fixed beams, frames, and arches.
  • It is ideally suited for computing stiffness and carryover factor in beams and frames having variable cross-sections.

Note:

  • It is applicable to a maximum of 3rd degree of indeterminacy.
  • It is based on the mathematical similarity between the stresses developed on a column section and the moment imposed due to the fixity of support.


A fixed beam has three degrees of static indeterminacy and hence column analogy method is used to analyze the fixed beam only.

Any portal frame and box frame up to 3 degrees of indeterminacy can also be analyzed using the column analogy method.

Important Points

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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