Serviceability limit state: the maximum vertical deflection of a structural member should not normally exceed the lesser of span/350 or which fixed limit (in millimetres)?

Difficulty: Easy

Correct Answer: 20 mm

Explanation:


Introduction / Context:
Deflection limits protect finishes, partitions, and user comfort. Many specifications cap deflection by a span ratio and also impose an absolute millimetre limit to prevent noticeable sag in shorter spans. The governing requirement is the lesser (more restrictive) of the two criteria.


Given Data / Assumptions:

  • Deflection criterion includes a span-based term: span/350.
  • An absolute millimetre cap also applies.
  • We must identify the fixed limit commonly paired with span/350.


Concept / Approach:

Typical serviceability provisions for finished members (ceilings, claddings) set the absolute deflection cap at 20 mm. Hence, the allowable deflection is min(span/350, 20 mm), ensuring both proportional control for long spans and absolute control for short spans.


Step-by-Step Solution:

Write combined limit: δ_allow = min(span/350, 20 mm).Interpretation: choose whichever is smaller to be more conservative.Select 20 mm as the fixed limit value.


Verification / Alternative check:

Project specifications often refine limits (e.g., span/250 for total long-term). The 20 mm cap is a common baseline for members supporting brittle finishes.


Why Other Options Are Wrong:

  • 10 or 15 mm: More restrictive than typical baseline; used only in special cases.
  • 25 or 30 mm: Too permissive; could lead to visible sag or cracking in finishes.


Common Pitfalls:

  • Applying only the span ratio and ignoring the absolute limit, which can be critical for short spans.
  • Failing to account for long-term effects (creep) when checking final deflection.


Final Answer:

20 mm

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