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Under which condition is a pin-jointed planar frame considered unstable?

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Subject
Structural Analysiscivil-engineering-mcqs › structural-analysis
Published
19 Jan 2019
Last updated
28 May 2026

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Explanation

A pin-jointed plane frame is unstable if (m + r) < 2j, where m represents the number of members, r is the number of reaction components, and j is the number of joints.

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Practice related questions from the same subject.

  1. 1.Consider the following statements regarding the applicability of displacement and force methods in structural analysis. Which pair of statements is accurate?
  2. 2.For a stable structure, which statements correctly describe the characteristics of the diagonal elements in the flexibility and stiffness matrices?
  3. 3.How is the j-th column of the flexibility matrix obtained?
  4. 4.According to the slope deflection method, which of the following forces are responsible for causing deformations?
  5. 5.How many independent equations must be fulfilled to achieve static equilibrium in a planar structure?
  6. 6.For a pin-jointed planar frame with m unknown member forces, r unknown reaction components, and j joints, how is the degree of static indeterminacy calculated?
  7. 7.What is the degree of static indeterminacy for a rigidly connected planar frame consisting of 15 members, 14 joints, and 3 reaction forces?
  8. 8.What are the independent displacement components at every joint in a rigid-jointed planar frame?
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