5. A dam is used to hold back a river. The dam has a height H = 12 m and a width W Assume the density of water at 4°...
Water is filled to a height H behind a dam of width w. Determine the resultant force exerted by the water on the dam. (20 pts) 7) dy 0
[3] [25 points] Water is filled up to a height H behind a dam of width w (see the Figure to the right). (a)[13 points] Show that the total H torque be hind the dam about a horizontal exerted by the water |axis through O is PgH (b)[12 pointsl Show effective line of action of the total force exerted by the water is at a that the -H above O. [3] [25 points] Water is filled up to a height...
5. A dam has the shape of a trapezoid with height of 50 m and the width is 120 m at the top and 100 m at the bottom. Find the force on the dam due to hydrostatic pressure if the water level is 5 m from the top of the dam. (10 pts)
4304 Given: A dam has the Find: The magnitude of shown. T e cross section shown. The density of water, p. resultant the resultant water force (per meter of width) acting on the dam. 30 m 20 m 4304 Given: A dam has the Find: The magnitude of shown. T e cross section shown. The density of water, p. resultant the resultant water force (per meter of width) acting on the dam. 30 m 20 m
3. The figure shows a spillway which is essentially a dam that holds back water until it reaches a certain depth, at which point the water "spills" over the top. You may assume the pressure is distributed hydrostatically at stations 1 and 2. You may also assume that the width of the spillway is constant everywhere. The density of water is 1000 kg/m2 Control Surface Streamline 5 m 0.7m V/2 (a) Find the velocities, Vi and Va. Note that you...
KHomework Set 9 Pressure on a Dam As the reservoir behind a dam is filled with water, the pressure that the water exerts on the dam increases Eventually, the force on the dam becomes substantial and it could cause the dam to collapse. There are two significant issues to be considered: First, the base of the dam should be able to withstand the pressure pgh , where p is the density of the water behind the danm h is its...
A small dam of height h=2.0 m is constructed of vertical wood beam AB of thickness t=120 mm, as shown in the figure. Consider the beam to be simple supported at the top and bottom. Assuming that the weight density of water is 9.81 kN/m^3. 68.) determine the maximum bending stress in the beams (MPa) 69.) determine the allowable height (in m) of water if the allowable stress of the vertical wood is 1.0 MPa. A small dam of height...
Solve all of height h 20 m is constructed ofa vertical wood beams AB of width b 1 m, and thickness t-120 A small dam mm. Consider the beam to be simply supported at the top and bottom. Neglect the welght of the wood. Consider the weight density of water to bey-10kN/m2. (Hint: the water pressure at the bottom of the dam-yh) A. Calculate the maximum Intensity qo of the distributed load acting on the beams due to the water...
2 6 h 2.. The gate shown in the figure below is used to hold back water in a channel. Given that h 6 m and that the gate has negligible weight, determine the magnitude and location of the horizontal and vertical components of the force due to the water on the gate, per meter of its length. (The density of the water is 1000 kg/m2)
Chapter 15 Pressure on a Dam Due 4 of 16 ( As the reservoir behind a dam is filled with water pressure that the water exerts on the dam increases Eventually, the force on the dam becomes substantial, and it could cause the dam to collapse. There are two significant issues to be considered: First, the base of the dam should be able to withstand the pressure Agh, where ? is the density of the water behind the Consider a...