determine the magnitude of the reactions at A and B that act normal to the gate.
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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.Determine the smallest distance I) that would prevent the concrete dam from tipping about corner A. Use w=62.4lb/ft3 for water and c=150lb/ft3 for concrete.Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020 (channel with a nominal depth of 10 in., weighing 201b/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following properties for the cross section: A=5.88in.2,Ix=78.9in.4, and Iy=2.81in.4. If two of these channels are welded together as shown in Fig. (b), find Ix and Iy for the resulting cross section.
- vessel a, at elevation 2.438m, contains water under 103.4 kpa pressure. Vessel B at elevation 3.658 m, contains a liquid under 68.95 kpa pressure. if the deflection of the differential gage is 305 mm of mercury, with the lower level on the A side at elevation 0.305m, determine the specific gravity of the liquid in vessel B. Ans. 0.500The 3 × 4-m side AB of a tank is hinged at its bottom A and is held in place by a thin rod BC. The maximum tensile force the rod can withstand without breaking is 200 kN, and the design specifications require the force in the rod not to exceed 20 percent of this value. If the tank is slowly filled with water, determine the maximum allowable depth of water d in the tank.The rectangular panel, which is 4 m wide, 3 m high block the end of a 3 m deep water channel. The is suspended around a horizontal axis along its upper edge through point B and is prevented from opening by a fixed edge at point C. Determine the force which is exterted on the panel by the ridge as shown in fig.(2).
- One end of a rod of length L and density ρ is fixed by a frictionless pivot at a depth d under water. Determine the equilibrium positions of the rod in terms of its angle α measured from the vertical, and the investigate whether the equilibrium positions are stable or unstable, given that (a) ρ = 500 kg/m3 ; (b) ρ = 853 kg/m3 (The density of water is ρw = 1000 kg/m3 .)A 27 m vertical column of fluid (density 1878 kg.m3) is located where g= 9.65 m/sec2. Find the pressure at the base of the column.Ans. 489.313 kPa Please give me the solution.Fluid with a density of 900 kg/m^3 is applying pressure on the gate shown. The depth of the water is equal to the height of the gate. The h is 12 m and width of the gate is 4 m. Determine the resultant pressure force acting on the gate? a)1611315 N b)5084000 N c)2542000 N d)52958 N e)105916 N
- A 6-m-high, 5-m-wide rectangular plate blocks the end of a 5-m-deep freshwater channel, as shown . The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridgeThe uniform control gate AB shown is pinned at A and rests on the smooth surface at B. The gate has a width of 1m. If the gate has a mass of 3.9 Mg, determne the maximum depth of water h in the reservoir that will cause the gate to be on the verge of opening.The blade of the bulldozer shown below is rigidly attached to a linkage consisting of the arm AB, which is controlled by the hydraulic cylinder BC. There is an identical linkage on the other side of the bulldozer. Applied loads shown are for both linkages and F = 581 kN. Determine the pressure in hydraulic cylinder BC in Pa if the cylinder has a diameter of 80 mm.