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1.Prove that the smallest angle of any triangulation of a convex polygon whose vertices lie on a circle is the same. This implies that any completion of the Delaunay triangulation of a set of points maximizes the minimum angle.
2.Prove that any polygon admits a triangulation, even if it has holes. Can you say anything about the number of triangles in the triangulation?
Compute the maximum service (unfactored) concentrated live load that can be applied at 1ft from the free end of the cantilever. Use load and strength -reduction factors from ACI Code Sections 9.2 and 9.3. Also check As,min.
A vertical pipe of 4ft diameter and 60 ft long has a pressure head of 22.7 ft of water at its upper end. when the flow of water through it is such that the mean velocity is 16 fps, the pipe friction head loss is hf = 2.8 ft.
The maximum permissable fecal coliform concentration that may be discharged is 2,000 fecal coliform CFU/L. It is proposed that a pipe carrying the wastewater be used for disinfection process.
The specimen was 8 cm in diameter and had a length of 85 mm. The area of the standpipe was 0.45 cm^2. Compute the coefficient of permeability of the soil in cm/s, m/s, and ft/d. What was the probable classification of the soil tested
The stationary disk, of 300 mm radius, is attached to a pin support at D. The disk is held in place by the brake ABC in contact with the disk at C. The hydraulic actuator BE exerts a horizontal 400 N force on the brake at B.
A piezometer in a water-table aquifer is screened just above a leaky confining layer and a piezometer in a semi-confined aquifer is screened just below the leaking confining layer. The water level in the water-table aquifer is 1.42 m below the ground..
A steel tube has an outside diameter of 2.5 inches and an inside diameter of 2.375 (1/8" thick). If it transmits 35 hp when turning at 2700 rpm, what is the maximum shear stress
1- explain about pres-stressed concrete2- explain about bridge construction material3- illustrate why sometimes when we
A 5000 m3/day wastewater treatment plant discharges to a river with a minimum drought flow of 140 m3/min (upstream of outfall) a)What total allowable BOD (kg/day) could be discharged by the plant if the BOD in the river after initial dilution must ..
A combined pitot static tube has a coefficient of 0.98. Thedifferential head reading is 0.874m of water when it is positionedon the centreline of a pipe of constant diameter.
q1. briefly explain the purpose of the international space station and list the name of all space agencies involved in
What are the public safety implications of a flaw in a computer chip that is going to used to control a variety of instruments
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