Question
Download Solution PDFFind the degree of static indeterminacy, for a two dimensional truss (or frame) shown in the figure above.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Data Given by the figure,
m= 7
r = 6
J = 5
We know that,
For pin jointed plane frame: Ds = m + r - 2J
Ds = 7 + 6 - 2 x 5
Ds = 3
Concept:
If the number of unknown reaction are more than the number of equilibrium equation available then structure is called indeterminate structure and degree of indeterminacy is given by static indeterminacy.
Some important cases are:
- Pin jointed plane frame, Ds = m + r - 2j
- Pin joined space frame, Ds = m + r - 3j
- Rigid jointed plane frame, Ds = 3m + r - 3j
- Rigid jointed space frame, Ds = 6m + r - 6j
Where,
m = number of members
r = number of external reactions
j = number of joints.
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