For a single rolled section used as a tension member (with holes), by how much should the gross area typically exceed the required net area to account for reductions at holes and stress concentrations?

Difficulty: Easy

Correct Answer: 20% to 30% in excess of the net area

Explanation:


Introduction / Context:
When designing a tension member, the presence of holes reduces the effective section and introduces stress concentration. Practical guidelines recommend a margin of gross area over the required net area to maintain adequate capacity and ductility.



Given Data / Assumptions:

  • Single rolled section (e.g., single angle or plate) in tension.
  • Presence of standard bolt/rivet holes.
  • Allowable stresses as per conventional design practice.


Concept / Approach:
Net area A_net equals gross area minus deductions for holes (and plus stagger correction where applicable). To avoid overly thin members and to limit localized stresses around holes, a practical rule is to keep the gross area about 20% to 30% larger than the minimum required net area.



Step-by-Step Solution:

Compute required net area from factored/allowable tension: A_req,net = T / f_t.Select a rolled section whose gross area A_g satisfies A_g ≈ 1.2 to 1.3 * A_req,net.Verify actual A_net considering hole deductions and any stagger restoration; ensure A_net ≥ A_req,net.


Verification / Alternative check:
Check block shear and connection efficiency; confirm that the fracture path governs and that yielding precedes fracture in a ductile design.



Why Other Options Are Wrong:
Margins of 30%–70% are overly conservative for typical practice and lead to uneconomical members without commensurate benefit.



Common Pitfalls:
Forgetting to add stagger restoration; using nominal hole size instead of standard (larger) hole diameter; ignoring reduced net section near the connection.



Final Answer:
20% to 30% in excess of the net area

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