GATE CE 2015 Set 1 — Question 17
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Structural Engineering → Indeterminate Analysis & Influence Lines → Stiffness Method
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Question
For the beam shown below, the stiffness coefficient can be written as
Correct answer
(B) (12EI)/(L³)
Solution
The stiffness coefficient is defined as the force required at degree of freedom due to a unit displacement at degree of freedom , while all other degrees of freedom are restrained. For a cantilever beam of length and flexural rigidity , the vertical force required to produce a unit vertical displacement at the free end (DOF 2) while preventing rotation (DOF 3) and axial displacement (DOF 1) is derived from the standard stiffness matrix for a beam element, which gives .
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