In a statically determinate plane truss, the number of joints (j) and the number of members (m) are related by

$j = 2 m - 3$

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$m = 2 j + 1$

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$m = 2 j - 3$

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$m = 2 j - 1$

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Solution

The correct option is C
$m = 2 j - 3$

For a joint we can write 2 equilibrium equations, so for j joints we will have 2 j equations. If there are m members in a truss then we need to calculate m unknowns. Also we need to calculate 3 reactions for a plane truss. So for determinate truss m + 3 = 2j.

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Similar questions

Q. Consider the statements below the truss shown:

P. The truss is externally determinate.
Q. The truss is internally stable.
R. The static indeterminacy of truss is 1.
S. The truss is internally unstable.
T. The truss is statically determinate.
Out of above statements, correct statements are:

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In a statically determinate plane truss, the number of joints (j) and the number of members (m) are related by

The correct option is C m=2j−3 For a joint we can write 2 equilibrium equations, so for j joints we will have 2 j equations. If there are m members in a truss then we need to calculate m unknowns. Also we need to calculate 3 reactions for a plane truss. So for determinate truss m + 3 = 2j.

The correct option is C
$m = 2 j - 3$

For a joint we can write 2 equilibrium equations, so for j joints we will have 2 j equations. If there are m members in a truss then we need to calculate m unknowns. Also we need to calculate 3 reactions for a plane truss. So for determinate truss m + 3 = 2j.