A rigid-jointed plane frame is stable and statically determinate if -

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  1. (m + r) = 3j
  2. (3m + r) = 3j
  3. (m + 3r) = 3j
  4. (m + r) = 2j

Answer (Detailed Solution Below)

Option 2 : (3m + r) = 3j
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Static indeterminacy:

Number of additional reactions required to analyse a structure is called static indeterminacy.

Ds = Dse + Dsi

Type of structure

Degree of indeterminacy Ds

2D (plane) frames

(3m+r)-3j

3D frames

(6m+r)-6j

2D (plane) pin jointed truss

(m+r)-2j

3D truss

(m+r)-3j

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