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Classify each of the structures below as statically determinate, statically indeterminate, or unstable. If indeterminate, specify the degree of indeterminacy.

Classify each of the structures below as statically determinate, statically indeterminate, or unstable. If indeterminate, specify the degree of indeterminacy.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question 2 Classify each of the structures below as statically determinate, statically indeterminate, or unstable. If indeterminate, specify the degree of indeterminacy. (a) Pin connection H Fixed support (e) A (c) Pin support (b) (d) Roller support
Transcribed Image Text:Question 2 Classify each of the structures below as statically determinate, statically indeterminate, or unstable. If indeterminate, specify the degree of indeterminacy. (a) Pin connection H Fixed support (e) A (c) Pin support (b) (d) Roller support
Expert Solution
Step 1 Introduction and given data

We know for beams,

The degree of static indeterminacy, 

Ds= Number of unknown support reactions - number of known equilibrium  equations- m'-1

For, 

Ds< 0,  Truss is unstable

Ds> 0, Then, in that case, check the following for unitability

  • All the reactions are coplanar and parallel, the structure is unstable
  • All the reactions are concurrent, the structure is unstable

To determine the static determinacy/indeterminacy of each and specify whether it is stable or unstable.

 

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