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Question 4 : Please answer parts 1 & 2

Hurricanes can cause devastating damages to civil infrastructures due to high winds. For example, the maximum wind speed during Hurricane Matthew was recorded as 165 mph (miles per hour), which was powerful enough to rip the roof of some houses. Suppose that you decide to use a square steel slab (L = 10 m) as the roof of your vacation home in Florida, which will be attached to the walls of the house by 100 bolts. Problem 4 1. Given that each bolt can sustain a maximum tensile force of 4800 N, apply Bernoulli's equation to determine whether the bolts will be able to withstand a hurricane as strong as Hurricane Matthew. You can assume that the air flow over the roof reaches the maximum wind speed recorded during Hurrican Matthew, and that the air inside the house is still. Please clearly illustrate your free-body diagram. 2. What conservation laws is Bernoulli's equation based on? Write down at least 3 as- sumptions associated with Bernoulli's equation. Are these assumptions justified for this problem? (a) (b) LO TRACKING MATTHEW Matthew Rips Roof ff Home Exuma Island, Bahamas NEWS 75 10:05 ANBREAKING; ALL EAST SIDE SHELTERS IN VOLUSIA COUNTY ARE FULL Z FOR L NEWS Figure 4: (a) Hurricane Matthew ripping roof off of a home. (b) Reinforced steel slab. Figure not to scale.
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Transcribed Image Text:Hurricanes can cause devastating damages to civil infrastructures due to high winds. For example, the maximum wind speed during Hurricane Matthew was recorded as 165 mph (miles per hour), which was powerful enough to rip the roof of some houses. Suppose that you decide to use a square steel slab (L = 10 m) as the roof of your vacation home in Florida, which will be attached to the walls of the house by 100 bolts. Problem 4 1. Given that each bolt can sustain a maximum tensile force of 4800 N, apply Bernoulli's equation to determine whether the bolts will be able to withstand a hurricane as strong as Hurricane Matthew. You can assume that the air flow over the roof reaches the maximum wind speed recorded during Hurrican Matthew, and that the air inside the house is still. Please clearly illustrate your free-body diagram. 2. What conservation laws is Bernoulli's equation based on? Write down at least 3 as- sumptions associated with Bernoulli's equation. Are these assumptions justified for this problem? (a) (b) LO TRACKING MATTHEW Matthew Rips Roof ff Home Exuma Island, Bahamas NEWS 75 10:05 ANBREAKING; ALL EAST SIDE SHELTERS IN VOLUSIA COUNTY ARE FULL Z FOR L NEWS Figure 4: (a) Hurricane Matthew ripping roof off of a home. (b) Reinforced steel slab. Figure not to scale.
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