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The rigid frame shown in the figure is-
  • a)
    Stable and determine
  • b)
    Unstable
  • c)
    Stable and indeterminate
  • d)
    Stable and indeterminate to 2nd degree
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The rigid frame shown in the figure is-a)Stable and determineb)Unstab...
(Ds = 3mre – 3J)
(=3×23 – 3 × 3 = 0)
Hence it is determinate and stable.
In general: If The structure is number of unknowns < number="" of="" equations="" unstable="" number="" of="" unknowns="number" of="" />
Stable & Determinate number of unknowns > number of equations Indeterminate The procedure outlined above does not always work with regard to stability. An alternate method (the displaced shape method) of determining whether a structure is stable or unstable, and determinate or indeterminate is the following
  • If the displaced shape of the structure can be drawn so that no members deform, the structure is unstable.
  • If the displaced shape cannot be drawn without causing a member to deform, the structure is stable.
If removal of one constraint (a support force or a member force) causes the structure to be unstable (i.e. the structure can be displaced without deforming a member), then the original structure is stable and determinate. o If two or more constraints need to be removed to cause the structure to be unstable, the original structure is stable and indeterminate.
Hence, the correct option is (A)
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The rigid frame shown in the figure is-a)Stable and determineb)Unstablec)Stable and indeterminated)Stable and indeterminate to 2nd degreeCorrect answer is option 'A'. Can you explain this answer?
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