A building in Maui requires hurricane straps rated for 175 mph winds. If each strap must resist 1,200 lbs of uplift force and you have 48 roof-to-wall connections, what is the total uplift resistance provided?
Correct Answer
D) 57.6 kips
48 connections × 1,200 lbs/connection = 57,600 lbs = 57.6 kips total uplift resistance.
Why This Is the Correct Answer
Option D is correct because the total uplift resistance is calculated by multiplying the number of connections by the resistance per connection: 48 connections × 1,200 lbs per connection = 57,600 lbs. Converting to kips (thousands of pounds): 57,600 ÷ 1,000 = 57.6 kips. This straightforward multiplication gives the total system capacity for resisting hurricane uplift forces.
Why the Other Options Are Wrong
Option A: 40 kips
Option A (40 kips) is incorrect because it represents only 40,000 lbs of total resistance. This would require either fewer connections (about 33) or lower capacity straps (about 833 lbs each), neither of which matches the given parameters of 48 connections at 1,200 lbs each.
Option B: 48 kips
Option B (48 kips) is incorrect because it equals the number of connections rather than the total capacity. This appears to confuse the count of connections (48) with the total resistance. The calculation incorrectly treats each connection as providing 1 kip instead of 1.2 kips of resistance.
Option C: 25 kips
Option C (25 kips) is significantly too low and represents only 25,000 lbs of total resistance. This would require either about 21 connections at 1,200 lbs each, or 48 connections at only 521 lbs each, neither of which matches the problem specifications.
Memory Technique
Remember 'Connections × Capacity = Total' and always convert final answer to kips by dividing pounds by 1,000. Think '48 × 1.2 = 57.6' for this specific hurricane strap calculation.
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