Discussion
Which of the following equations matches with the below-mentioned condition of truss?
Condition: The truss is internally stable and statically determinate space truss.
Answer: B
For a space truss, which is stable and statically determinate internally, the number of members m and the number of joints j satisfy \(m = 3j - 6\). Each joint in space has three equations of equilibrium, which give 3j equations, and six of them are used by the overall rigid-body motion in space (3 translations and 3 rotations). For a plane truss the matching condition is \(m = 2j - 3\). The options with an inequality (j < 2m - 3 and m > 2j - 3) describe unstable or indeterminate plane trusses, and m = 2j - 1 is not a standard condition.
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