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Consider plane truss below and identify the correct option.
  • a)
    Truss is statically indeterminate, externally stable but internally unstable 
  • b)
    Truss is statically determinate and stable both externally and internally
  • c)
    Truss is statically determinate, internally stable but externally unstable 
  • d)
    Truss is statically determinate, externally stable but internally unstable 
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider plane truss below and identify the correct option.a)Truss is ...
Static indeterminacy of the Planer structure:
DS = R – r
R → no. of unknowns = 3
r → no. of equilibrium equations = 3
D= 3 – 3 = 0
As all the three Reactions (1, 2, 3) are non-parallel, non-concurrent and non-trival, So structure is externally stable.
For Internal stability of truss:
m ≥ 2J -3
m → no. of member
J → no. of Joints
m = 6
J = 5
6 ≥ 2 × 5 – 3
6 ≥ 10 – 3 = 7
As no. of members is less than (2J – 3), therefore the truss is internally unstable.
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Consider plane truss below and identify the correct option.a)Truss is statically indeterminate, externally stable but internally unstableb)Truss is statically determinate and stable both externally and internallyc)Truss is statically determinate, internally stable but externally unstabled)Truss is statically determinate, externally stable but internally unstableCorrect answer is option 'D'. Can you explain this answer?
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