(Graphing program required.) Assume a person weighing P

Chapter 7, Problem 7.2.15

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(Graphing program required.) Assume a person weighing P pounds is standing at the center of a 4 12fir plank that spans a distance of L feet. The downward deflection Ddeflection (in inches) of the plank can be described by Ddeflection 5 (5.25 ?10]7 ) ? P ? L3 a. Graph the deflection formula, Ddeflection, assuming P 200 pounds. Put values of L (from 0 to 25 feet) on the horizontal axis and deflection (in inches) on the vertical axis. b. A rule used by architects for estimating acceptable deflection, Dsafe, in inches, of a beam L feet long bent downward as a result of carrying a load is Add to your graph from part (a) a plot of . c. Is it safe for a 200-pound person to sit in the middle of a 4 12fir plank that spans 20 feet? What maximum span is safe for a 200-pound person on a 4 12plank?

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