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GATE Exam Questions - Engineering

Q1:

The following two statements are made with reference to the planar truss shown below

  1. The truss is statically determinate
  2. The truss is kinematically determinate

With refernece to the above statements, which of the following applies ?

A Both statements are ture.

B Both statements are false.

C II is true but I false.

D I is true but II is false.

ANS:C - II is true but I false.

(d) l is true but ll false.

Explanation: Degree of static indeterminacy Ds = m + re - 2j.
Hence, m =12, j = 9 and re =6,
Ds = 12 + 6 - (2 x 9) =0,
Degree of kinematic indeterminacy= Dk = 2j - re - m = (2 X 9) - 6 - 0 = 12,
Thus, truss is statically determinate and kinematically indeterminate.