SOLUTION: a) A swimming pool of the same overall length and depths to shallow end and deep end as the one specified at task M2 is required by another client, however; in this case site space
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Question 1151173: a) A swimming pool of the same overall length and depths to shallow end and deep end as the one specified at task M2 is required by another client, however; in this case site space restraints dictate a width of 11m.
When in use the circulation pump to this pool will pump water at the same rate as the pump specified at task M2. The pool engineer has therefore estimated that the pool pump will fully cycle all of the water in the pool every 23 hours.
Using an algebraic method, produce calculations to show the exact time taken to cycle the pool water fully and in addition to this show the percentage error in the engineers time estimate against the calculated time.
b) A structural engineer has identified that in the previous eight steel framed commercial building contracts, that three buildings have suffered structural failures due to faulty high-strength steel shear-bolts.
i) Using an appropriate application of the Binomial Theorem, use your scientific calculator (With method statement to explain use) as well a back-up long-hand calculation to show the probability for structural failure in the next steel frame contract.
ii) Given the probability outcome from your calculations at part b) part i), provide a short statement to explain the appropriate action that you feel the engineer should take in future contracts.
