Methods of Structural Analysis

By Sachin Singh|Updated : December 2nd, 2021

Through Champion Study Plan for GATE Civil Engineering (CE) 2022, we are providing Methods of Structural Analysis study notes and other important materials on every topic of each subject.

These topic-wise study notes are useful for the preparation of various upcoming exams like GATE CivilIESBARCISROSSC-JEState Engineering Services examinations and other important upcoming competitive exams.

This article contains fundamental notes on the "Methods of Structural Analysis" topic of the "Structural Analysis" subject.

Methods of Structural Analysis

Flexibility

The flexibility of a structure is defined as the displacement caused by a unit force

image001

where, f = Flexibility, δ = Displacement

P = Force, θ = Rotation, M = Moment

Stiffness

The stiffness is defined as the force required to produce a unit displacement.

image002 where, k = stiffness

image003

From Maxwell Reciprocal Theorem

Where

image004

Useful Results

image005

image006

 

Difference between Force Method and Displacement Method

image007

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