Serviceability limit for timber roof beams: what is the maximum permissible deflection (as a span fraction) for a timber beam supporting a roof?

Introduction / Context:
Deflection control is a serviceability requirement to protect finishes, roofing, and occupant comfort. Timber beams supporting roofs often have stricter limits when brittle coverings or long-term creep are concerns.

Given Data / Assumptions:

• Beam supports roof sheeting/coverings (not a floor).
• Standard practice emphasizes tighter deflection limits to prevent ponding and cracking of finishes.
• Allowable deflection expressed as L divided by a limit number.

Concept / Approach:
While limits vary across codes, a widely adopted criterion for roof beams is approximately L/360 for total load. This reduces visible sag and potential damage to roofing membranes or ceiling finishes below. Looser limits like L/240 are sometimes permitted for live load only, but L/360 remains a conservative and commonly taught benchmark for roof members in competitive exams.

Step-by-Step Solution:
Identify member usage: roof support → serviceability sensitive.Choose the stricter common limit for total load: L/360.

Verification / Alternative check:
Many timber and steel design guides cite L/360 for roof members with ceilings/finishes; some jurisdictions allow L/240 for live load-only, but the exam standard typically expects L/360.

Why Other Options Are Wrong:

• L/100 or L/150 allow excessive deflection.
• L/260 is less stringent than the commonly required roof criterion.
• “None of these” is incorrect because L/360 is available and appropriate.

Common Pitfalls:

• Confusing live-load deflection limits with total-load limits.
• Ignoring creep; timber deflection increases over time.

Final Answer:
L/360