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For the floor in any room, the floor loading is the maximum safe average pressur

ID: 1467453 • Letter: F

Question

For the floor in any room, the floor loading is the maximum safe average pressure on the floor (the gravitational force exerted by Earth on all objects resting on the floor divided by the floor area), and the floor's point loading is the maximum safe actualpressure (the gravitational force exerted by Earth on all objects resting on the floor divided by the floor area covered by those objects). A particular room has a floor loading of 8 kPa and a point loading of 60 kPa.

a) What fraction of the floor area can be subjected to the point loading without exceeding the floor loading?

(Please provide a pictorial demonstration)

Explanation / Answer

pressure = force/area

p1/p2 = A2/A1

A2/A1 = 8/60 = 0.133

1-A2/A1 = 1-0.133 = 0.867