Built-up beams: When sizing cover plates, what percentage allowance should be added to the calculated area of cover plates to account for rivet (or bolt) holes in a traditional riveted built-up beam?
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A10%
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B13%
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C15%
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D18%
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E20%
Answer
Correct Answer: 15%
Explanation
Introduction / Context:In classic riveted or bolted built-up girders, cover plates over the flanges are pierced by fastener holes. These holes reduce the net area available to carry stress. A practical allowance is therefore added to the calculated required area so that the gross plate supplied still delivers the needed net capacity after deducting holes.
Given Data / Assumptions:
- Traditional riveted/bolted construction with cover plates.
- Allowance sought as a percentage of the calculated required area.
- Hole deduction approach based on standard practice.
Concept / Approach:
The net area equals gross area minus area lost due to holes. Rather than detailing every hole in preliminary design, a rule-of-thumb percentage is added to the required area. A widely used allowance is 15% for cover plates, which adequately compensates for typical hole patterns without being excessively conservative.
Step-by-Step Solution:
Compute required net area based on strength.Apply allowance for holes to obtain gross area.Use standard allowance 15% → choose 15% from options.Verification / Alternative check:
Older steel manuals and exam standards consistently quote 15% as a practical additive for cover plates in riveted/bolted built-up beams, streamlining preliminary sizing before detailing exact hole layouts.
Why Other Options Are Wrong:
- 10% or 13%: may under-account for typical hole lines.
- 18% or 20%: often overly conservative at preliminary stage.
Common Pitfalls:
- Forgetting to recheck net capacity after final hole layout.
- Using the same allowance for flange angles or webs without considering different hole densities.
Final Answer:
15%.