If the ratio of rivet hole to the pitch of rivet is 0.25, then the tearing efficiency of the joint is

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BPSC AE Paper VI Mechanical 2024 Official Paper
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  1. 0.25
  2. 0.75
  3. 0.87
  4. 0.5

Answer (Detailed Solution Below)

Option 2 : 0.75
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Explanation:

Tearing Efficiency of a Riveted Joint

  • Tearing efficiency of a riveted joint refers to the ratio of the strength of the joint in tearing to the strength of the uncut plate. It is a measure of how effectively the riveted joint resists tearing under a load compared to the original plate without rivet holes. This efficiency is an important factor in the design and analysis of riveted joints in engineering structures.

The tearing efficiency (ηt) is given by the formula:

ηt = (p - d) / p

Where:

  • p = Pitch of the rivet, which is the distance between the centers of two consecutive rivet holes.
  • d = Diameter of the rivet hole.

The formula indicates that the tearing efficiency depends on the ratio of the rivet hole diameter to the pitch of the rivet.

Calculation:

Given:

  • Ratio of rivet hole diameter to pitch, d/p = 0.25

From the formula for tearing efficiency:

ηt = (p - d) / p

Substitute d = 0.25p into the equation:

ηt = (p - 0.25p) / p

Simplify:

ηt = (1 - 0.25)

ηt = 0.75

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