GATE 2007
In a plane truss, the equation in terms of m and j is used to check its determinacy and stability, where m= no of members and j = no of joints. The truss is deficient and unstable when
(A) m < 2j – 3
(B) m = 2j - 3
(C) m > 2j- 3
(D) both A and B –re correct
(A) m < 2j – 3
(B) m = 2j - 3
(C) m > 2j- 3
(D) both A and B –re correct
Answer: (A) m < 2j – 3
Internal Stability: m < 2j – 3 ⇒ truss is internally unstable
m ≥ 2j – 3 ⇒ truss is internally stable provided it is geometrically stable
m ≡ total number of members, j ≡ total number of joints
Geometric stability in the second condition requires that the members be properly arranged.
m ≥ 2j – 3 ⇒ truss is internally stable provided it is geometrically stable
m ≡ total number of members, j ≡ total number of joints
Geometric stability in the second condition requires that the members be properly arranged.
source: GATE Arch/Planning by B K Das
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