If a riveted joint exhibits a tearing efficiency of 75%, the ratio of the rivet diameter to the pitch must be___________________?
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Answer: B. 0.25
Explanation
Tearing efficiency of a riveted joint is calculated as pitch minus rivet diameter divided by pitch. Setting this efficiency equation equal to 0.75 yields a diameter-to-pitch ratio of 0.25. Mathematical rearrangement of the standard efficiency formula confirms the resulting decimal proportion. Riveted joints can fail through plate tearing along the line of rivet holes. Pitch represents the center-to-center distance between adjacent rivets in the same row. Joint efficiency compares the strength of the riveted section to the solid unperforated plate.
Boiler shell design and structural steel engineering require precise joint efficiency calculations. Engineers balance rivet diameter and pitch to maximize both tearing and shearing resistance. Failure analysis of historic structures often highlights the importance of joint efficiency limits. A ratio of 0.2 yields an 80 percent tearing efficiency rather than the specified 75 percent. A ratio of 0.50 would result in a much lower tearing efficiency of only 50 percent. Ratios of 0.6 or 0.75 produce different efficiencies not matching the given 75 percent value.
- Subject
- Engineering
- Category
- Mechanical Engineering
- Topic
- —
- Difficulty
- medium
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