Question

What is degree of indeterminacy in propped cantilever beam?

Answer 1

Propped cantilever is analysed by moment area method and the conjugate beam method using the principle of superposition. In this method, according to the degree of indeterminacy of the beam, excessive reaction is designed as redundant and the support is modified.



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Answer 2

A propped cantilever has one degree of indeterminacy.

• Propped cantilever is analyzed by the moment area method and the conjugate beam method using the principle of superposition.

• In this method, excessive reaction is designed according to the degree of indeterminacy of the beam, and the support is modified.

• Consider the cantilever beam with certain span & loading. To  find the reactions of the beam, one will use 3 equilibrium equations:
• Summation of all the forces along X- axis = 0
• Summation of all the forces along Y- axis = 0
• Summation of all the moments = 0

• And now, by solving these three equations, reactions can be found.
• Consider the case of propped cantilever, along with the cantilever reactions there'll will also be a reaction from the free end. But, there are the only 3 equilibrium equation's.

Therefore,

• Degree of indeterminacy = Number of reaction - Number of equilibrium equations.

• Indeterminacy = 4–3=1

Hence, a propped cantilever has one degree of indeterminacy.

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