GATE 2019: Machine Design Quiz 1- Static Design

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Question 1

Factor of safety is the ratio of:

• AYield stress / working stress
• BTensile stress / working stress
• CBearing stress / working stress
• DBearing stress / yield stress

Question 2

A plate of width 120 mm has a central hole of 20 mm diameter. The plate is subjected to an axial tensile load of 20 kN. Yield stress is 600 MPa and theoretical stress concentration factor is 3. If factor of safety is 5 then the plate thickness is ____ mm.

• A3
• B4
• C6
• D5

Question 3

The piston rod of diameter 20 mm and length 700 mm in a hydraulic cylinder is subjected to a compressive force of 10 kN due to the internal pressure. The end conditions for the rod may be assumed as guided at the piston end and hinged at the other end. The Young’s modulus is 200 GPa. The factor of safety for the piston rod is

• A0.68
• B2.75
• C5.62
• D11.0

Question 4

The expression for the notch sensitivity factor q will be:

• A
• B
• C
• D

Question 5

A circular rod 50 mm in diameter and 200 mm long is welded to a plate by fillet welding all around the circumference as shown in figure. The size of the weld is 15mm. The section modulus of the weld is 22000 mm³. Determine the resultant stress in the weld.

• A90 and 55
• B80 and 40
• C65 and 42
• D91.3 and 45.8

Question 6

For the rod as shown in figure, the factor of safety according to maximum distortion energy theory is

Assume S_yt = 200 MPa, S_ut = 400 MPa, μ = 0.3

• A2.87
• B2.67
• C2.32
• D3.21

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