A planar truss tower structure is shown in the figure. Consider the following statements about the external and internal determinacies of the truss. P. Externally determinate Q. External static indeterminacy = 1 R. External Static Indeterminacy = 2 S. Internally Determinate T. Internal Static Indeterminacy = 1 U. Internal Static Indeterminacy = 2 Which one of the following options is correct?
A planar truss tower structure is shown in the figure. Consider the following statements about the external and internal determinacies of the truss. P. Externally determinate Q. External static indeterminacy = 1 R. External Static Indeterminacy = 2 S. Internally Determinate T. Internal Static Indeterminacy = 1 U. Internal Static Indeterminacy = 2 Which one of the following options is correct? Correct Answer P-False; Q-True; R-False; S-False; T-False; U-True
[ alt="GATE 2017 set 1 images Q33" src="//storage.googleapis.com/tb-img/production/17/03/GATE%202017%20%20set%201_images_Q33.PNG" style="height: 300px; width: 309px;">
For the given truss,
members (m) = 15, joints (j) = 8
External Indeterminacy = r – 3
r = no of support reactions = 4
Hence, External Indeterminacy = 4 – 3 = 1
Internal Indeterminacy = m – (2j – 3) = 15 – ( 2 x 8 – 3) = 2