6.25 An air-supported structure is used to enclose a set of tennis courts. It is a semi-cylinder structure with a diameter of 50 ft and a length of 50 ft. The blowers used to inflate the structure can maintain the air pressure inside the structure at 0.75 in. of water above ambient pressure. At design conditions, the wind blows at 35 mph perpendicular to the axis of the semi-cylindrical shape. The resulting pressure distribution is expressed as

Where the angle θ is measured from the ground on the upwind side of the structure, p is the pressure at the surface, p the atmospheric pressure, and V the wind speed. Determine the net vertical force exerted on the structure.

Transcribed Image Text:

P-Po 1 =1-4sin0 2PV2