Double-angle tension member connected by one leg each – effective net area to be taken for design A pair of equal angles placed back-to-back in tension is connected to a gusset by one leg of each angle (single-sided connection). What should be taken as the net effective area of the section for strength calculations?
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ASum of the net areas of the two connected legs only; outstanding legs neglected
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BGross area of both angles without any deduction for holes
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CSum of the net areas of all four legs (connected and outstanding)
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DArea of only one connected leg; the other leg fully neglected
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ENone of these
Answer
Correct Answer: Sum of the net areas of the two connected legs only; outstanding legs neglected
Explanation
Introduction / Context:Shear lag reduces the effectiveness of outstanding legs in angle tension members. When two angles are placed back-to-back and each connects by only one leg to one side of a gusset, the load transfer path is primarily through the connected legs.
Given Data / Assumptions:
- Two equal angles, back-to-back.
- Each angle is connected by one leg to the gusset on the same side.
- Tension member design under working-stress concepts.
Concept / Approach:Only the connected legs have direct, efficient load transfer. Outstanding legs are prone to shear lag and are generally ignored in basic effective-area evaluation, unless a refined factor is applied. The simplest conservative approach is to use the sum of net areas of the two connected legs only.
Step-by-Step Solution:Identify load path → through connected legs adjacent to the gusset.Compute net area of each connected leg (deduct hole areas).Add the two net connected-leg areas; ignore outstanding legs.
Verification / Alternative check:Advanced provisions may allow a shear-lag factor on outstanding legs, but baseline conservative practice is to neglect them for design simplicity and safety.
Why Other Options Are Wrong:
- Gross area or all-leg area overestimates capacity by ignoring shear lag.
- Using only one leg is too conservative for a double-angle member.
Common Pitfalls:Forgetting to deduct bolt/rivet-hole areas when computing the net area of the connected legs.
Final Answer:Sum of the net areas of the two connected legs only; outstanding legs neglected