Which of the following equations is valid for the maximum efficiency of a square threaded screw?

[where α = Helix angle, ϕ = Friction angle]

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  1. degree
  2. degree
  3. degree
  4. degree

Answer (Detailed Solution Below)

Option 3 : degree
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Detailed Solution

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Concept:

The maximum efficiency of screw jack is when helix angle α is

\(\alpha = 45^\circ- \frac{\phi }{2}\)

Note:

If the friction angle is greater than the helix angle, the torque required to lower the load will positive, indicating that an effort is applied to lower the load. Such a screw is known as a self-locking screw.

Additional Information

Screw jack

  • A screw jack is a portable device consisting of a screw mechanism used to raise or lower the load. There are two types of jack Hydraulic and mechanical
  • A Hydraulic jack consists of a cylinder and piston mechanism. The movement of piston rod is used to raise or lower the load.
  • Mechanical jack can be either hand operated or power driven

The maximum efficiency of screw jack is:

\(\eta = \frac{{1 - sin\phi }}{{1 + sin\phi }} \)

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