GATE 2020: Engineering Mechanics Quiz 2

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Question 1

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

• Aj = 2m-3
• Bm = 2j+1
• Cm = 2j-3
• Dm = 2j-1

Question 2

A cantilever truss of 3 m span is loaded as

 
The force in member AB is __________ kN.

• A10.30
• B11.66
• C11.5
• D12.17

Question 3

For the truss shown in figure, find the magnitude of the force in member PR and the support reaction at R are respectively

• A122.47 kN and 50 kN
• B70.71 kN and 100 kN
• C70.71 kN and 50 kN
• D81.65 kN and 100 kN

Question 4

For the truss shown in the figure, the forces F₁ and F₂ are 9 kN and 3 kN, respectively. The force (in kN) in the member QS is

• A11.25 tension
• B11.25 compression
• C13.5 tension
• D13.5 compression

Question 5

Consider a truss PQR loaded at P with a force F as shown in the figure.

The tension in the member QR is

• A0.5 F
• B0.63 F
• C0.73F
• D0.87F

Question 6

A triangular truss, pin jointed at A and a roller support at C. The force 500N acts at pt. D.The force (in KN) in the member DB of the equilateral triangle is ___.

• A0
• B4 (tensile)
• C4 (Compressive)
• D3 (Compressive)

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