Question
Download Solution PDFGiven that J is no. of joints. B and R are no. of members and no. of reactions.
If B = 5, R = 3 and J = 4, then the truss is ______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFor the given truss:
B (m = number of member) = 5, R (r = number of reactions) = 3 and J (j = number of joint) = 4
Static indeterminacy (Ds) = External static indeterminacy (Dse) + Internal static indeterminacy (Dsi)
Dse = R - 3 = 3 - 3 = 0
Dsi = m + 3 - 2 j = 5 + 3 - 2 × 4 = 0
Ds = Dse + Dsi = 0 + 0 = 0
∴ Then given truss is statically determinate.
Confusion Points
The stability of the member cannot be confirmed as sometimes the determinate structure may be unstable. e.g. a beam with three linear roller support.
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