A vertical dam has a semicircular gate as shown in the figure. The total depth a of the figure is 14 m, the height of air above the water level is 2 m, and the width w of the gate is 8 m. 14 m 8 m }2 m water level Set up an integral that can be used to find the hydrostatic force (in N) against the gate. (Use 9.8 m/s² for the acceleration due to gravity Recall that the weight density of water is 1,000 kg/m³.)

Structural Analysis
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Chapter2: Loads On Structures
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A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 14 m, the height h of air above the water
level is 2 m, and the width w of the gate is 8 m.
14 m
K
8 m
2 m
water level
Set up an integral that can be used to find the hydrostatic force (in N) against the gate. (Use 9.8 m/s² for the acceleration due to gravity.
Recall that the weight density of water is 1,000 kg/m³.)
Transcribed Image Text:A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 14 m, the height h of air above the water level is 2 m, and the width w of the gate is 8 m. 14 m K 8 m 2 m water level Set up an integral that can be used to find the hydrostatic force (in N) against the gate. (Use 9.8 m/s² for the acceleration due to gravity. Recall that the weight density of water is 1,000 kg/m³.)
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