Find the vertical force acting on the semi-cylindrical dome shown in figure, when gage A reads 58.3 kPa. The dome is 1.83 m long.
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Q: A trapezoidal plate shown in the figure is submerged in water is 3.2 m below the surface. The bases…
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indicate free body diagram
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- The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate and the smooth surface at B due to water pressure acting on the gate. Use =62.4lb/ft3 for water.Find the elevation h (km) where the weight of an object is one-tenth its weight on the surface of the earth.Using the method of composite areas, find the dimension h that maximizes the centroid coordinate y of the plane region shown.
- Using integration, locate the centroid of the area under the n-th order parabola in terms of b, h, and n (n is a positive integer). (b) Check the result of part (a) with Table 8.1 for the case n = 2.The hemispherical glass bowl is filled with water. Find the location y of the center of gravity of the filled bowl. Approximate the bowl as a thin shell of radius R=6.15in. Use 1=162lb/ft3 for glass and 2=62.4lb/ft3 for water.Calculate the resultant force caused by the water acting on the parabolic arch dam. The water levels are 16 ft on the upstream side and zero on the downstream side. For water, use =62.4lb/ft3.
- The cylindrical water tank with R = 10 ft and H = 1.6 ft has thin steel walls of uniform thickness and weighs 18000 lb when empty. Determine the depth of the water h for which the center of gravity G of the tank plus water will be located at the surface of the water. For water, use =62.4lb/ft3.The properties of the unequal angle section are Ix=80.9in.4,Iy=38.8in.4, and Iu=21.3in.4. Determine Ixy.Repeat Prob. 4.152 assuming that the 400-kN force is applied at O instead of L.
- Find a) the total force on gate AB in KN and b) the position of the center of pressure in m with respect to the bottom of the pond. Assume that the gate is 8 feet wide, that 1ft = 0.3048m, and that 1PSI = 6897.1 PaShow the derivation of the girth and longitudinalstresses of the thin-walled cylindrical container shownbelow. Say p is the internal pressure, d is the insidediameter of the container, and t is wall thickness.An open rectangular tank 1 m wide and 2 m long contains gasoline to a depth of 1 m. If the height of the tank sides is 1.5 m, and if it slides down a frictionless plane that is inclined at 300 with the horizontal, determine the angle the free surface makes with the horizontal. Ans. The free surface is the same as the angle.