PROBLEMS 113 2-48. Seepage is assumed to occur beneath the concrete wall, produc

Question

PROBLEMS 113 2-48. Seepage is assumed to occur beneath the concrete wall, producing a linear distribution of hydrostatic pressure as shown. Determine the resultant force on a 1-ft wide portion of the wall and its location, measured to the right and upward from point A. 2 6 ft 15 ft Prob. 2-48 2-49. The storage tank contains oil and water acting at the depths shown. Determine the resultant force that both of these liquids exert on the side ABC of the tank if the side lh ot 15m Also determine the location of this

Explanation / Answer

Width of dam b = 1 ft

Intensity of distribution

W = g x h x b

= 62.4 lb/ft2 x 15 ft x 1 ft

= 936 lb/ft

Resultant force on concrete wall F = 0.5 x W x L

= 0.5 x 936 lb/ft x 6 ft

= 2808 lb

Resultant force on seepage F = 0.5 x W x L

= 0.5 x 936 lb/ft x 15 ft

= 7020 lb

Magnitude of the resultant force

= (28082 + 70202)0.5

= 7560.77 lb

Direction = tan-1 (2808/7020) = 21.8°

Location from A on x-axis

= (1/3)*6 = 2 ft

Location from A on y-axis

= (1/3)*15 = 5 ft

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