Determine the horizontal and vertical components of reaction at A and the vertical reaction at the smooth support B. The gate is 1. Determine the reactions at these supports due to the water pressure. The vertical force acting on the plate is equal to the weight of the water contained in the block shown shaded in Fig. Water is confined in the vertical chamber, which is 2 m wide. Determine the resultant force it exerts on the arched roof AB. This shaded block can be subdivided into two parts as shown in Figs.
The block in Fig. From the geometry in Fig. The wall is in the form of a parabola. Determine the magnitude and direction of the resultant force on the wall if it is 8 ft wide. The horizontal loading on the wall is due to the pressure on the vertical projected area of the wall, Fig. From the inside back cover of the. Determine the horizontal and vertical components of reaction at the hinge A and the horizontal normal reaction at B caused by the water pressure.
The gate has a width of 3 m. The horizontal component of the resultant force acting on the gate is equal to the pressure force on the vertically projected area of the gate. The vertical component of the resultant force acting on the gate is equal to the weight of the imaginary column of water above the gate shown shaded in Fig. The 5-m-wide overhang is in the form of a parabola. Determine the magnitude and direction of the resultant force on the overhang.
The horizontal component of the resultant force is equal to the pressure force acting on the vertically projected area of the wall. The vertical component of the resultant force is equal to the weight of the imaginary column of water above surface AB of the wall shown shaded in Fig.
Determine the resultant force that water exerts on the overhanging sea wall along ABC. The wall is 2 m wide. Since AB is along the horizontal, no horizontal component exists. Vertical Component. Determine the magnitude and direction of the resultant hydrostatic force the water exerts on the parabolic face AB of the wall if it is 3 m wide.
The vertical force acting on the wall is equal to the weight of water contained in the imaginary block above the wall shown shaded in Fig. The 5-m-wide wall is in the form of a parabola. Determine the magnitude of the resultant force on the wall as a function of depth h of the water.
Plot the results of force vertical axis versus depth h for 0 … h … 4 m. The vertical component of the resultant force is equal to the weight of the column of water above surface AB of the wall shown shaded in Fig. Determine the resultant force the water exerts on the quarter-circular wall AB if it is 3 m wide. The vertical force acting on the wall is equal to the weight of the water contained in the shaded block above the wall, Fig.
If the tank and plate are 4 ft wide, determine the horizontal and vertical components of reaction at A, and the tension in the cable due to the water pressure. The horizontal component of the resultant force acting on the shell is equal to the pressure force on the vertically projected area of the shell.
Write the moment equation of equilibrium about A by referring to Fig. Also, assume all pressures are gage pressures. Also, assume pressures pressures 2— A, B, and They are submerged in water at the depth shown. Determine the horizontal and vertical components of reaction at pin B. The plates have a width of 4 m. The horizontal loadings on the plates are due to the pressure on the vertical projected areas of the plates, Fig. The vertical force acting on plate AB is equal to the weight of the water contained in the imaginary block above the plate shown shaded in Fig.
The semicircular gate is used to control the flow of water over a spillway. If the water is at its highest level as shown, determine the torque T that must be applied at the pin A in order to open the gate. The gate has a mass of 8 Mg with center of mass at G. It is 4 m wide. This solution can be simplified if one realizes that the resultant force due to the water pressure on the gate will act perpendicular to the circular surface, thus acting through center A of the semicircular gate and so producing no moment about this point.
If the water is at its highest level as shown, determine the horizontal and vertical components of reaction at pin A and the normal reaction at B. The gate has a weight of 8 Mg with center of mass at G. Write the force equation of equilibrium along y axis. Plate AB has a width of 1. Determine the horizontal and vertical components of reaction at the pin A and the vertical reaction at the smooth stop B due to the water pressure.
The horizontal loading on the gate is due to the pressure on the vertical projected area of the gate, Fig. The vertical force acting on the gate is equal to the weight of water contained in the imaginary block shown shaded in Fig.
The Tainter gate is used to control the flow of water over a spillway. The gate has a mass of 5 Mg and a center of mass at G. It is 3 m wide. This block can be subdivided into parts 1 and 2 , Figs.
However, part 2 is a hole and should be considered as a negative part. The area of block BCEB is p 1 4. This solution can be simplified if one realizes that the resultant force will act perpendicular to the circular surface.
Therefore, FBC produces no moment about this point. If the water is at its highest level as shown, determine the horizontal and vertical components of reaction at pin A and the vertical reaction at the smooth spillway crest B.
The 6-ft-wide Tainter gate in the form of a quartercircular arc is used as a sluice gate. Determine the magnitude and direction of the resultant force of the water on the bearing O of the Tainter gate. What is the moment of this force about the bearing? The vertical component of the resultant force is equal to the weight of the block of water contained in sector ADB, shown in Fig. Fh This result is expected since the gate is circular in shape. Thus, FR is always directed toward center O of the circular gate.
Determine the horizontal and vertical components of reaction at the hinge A and the horizontal reaction at the smooth surface B caused by the water pressure. The plate has a width of 4 ft. The vertical force acting on the gate is equal to the weight of the water contained in the imaginary block above the gate shown shaded in Fig.
For 1F 2 2, we need to refer to the geometry shown in Fig. Write the force equation of equilibrium along the y axis. The sluice gate for a water channel is 2 m wide and in the closed position, as shown. Determine the magnitude of the resultant force of the water acting on the gate. Also, what is the smallest torque T that must be applied to open the gate if its mass is 6 Mg with its center of mass at G? The vertical force is equal to the weight of the water contained in the imaginary block above the gate shown shaded in Fig.
The vertical downward force and the vertical upward force are equal to the weight of the water contained in the blocks shown shaded in Figs. The volume of the shaded block in Fig. Considering the free-body diagram of the cylinder, Fig. Considering the force equilibrium vertically by free-body diagram of the cylinder, Fig.
The Tainter gate for a water channel is 1. Also, what is the smallest torque T that must be applied to open the gate if its weight is 30 kN and its center of gravity is at G. The volume of this column of water is. Note that the resultant force of the water acting on the gate must act normal to its surface, and therefore it will pass through the pin at O. Therefore, it produces moment about the pin. Solve the first part of Prob. The cylindrical tank is filled with gasoline and water to the levels shown.
Determine the horizontal and vertical components of the resultant force on its hemispherical end. The vertical component of the resultant force is equal to the total weight of the gasoline and water contained in the hemisphere.
For gasoline,. The hollow spherical float controls the level of water within the tank. If the water is at the level shown, determine the horizontal and vertical components of the force acting on the supporting arm at the pin A, and the normal force on the smooth support B. Neglect the weight of the float. Determine the tension in the cable AB if the ball is submerged in the water at the depth shown.
Will this force increase, decrease, or remain the same if the cord is shortened? Thus, the buoyant force is.
The tension in cable AB remains the same since the buoyant force does not change once a body is fully submerged, which means that it is independent of the submerged depth. The raft consists of a uniform platform having a mass of 2 Mg and four floats, each having a mass of kg and a length of 4 m.
Determine the height h at which the platform floats from the water surface. As shown in Fig. A glass having a diameter of 50 mm is filled with water to the level shown. If an ice cube with mm sides is placed into the glass, determine the new height h of the water surface. The base of the block is 1 ft square, and the base of the container is 2 ft square.
Determine the height at which the oak block will float above the water surface. The container of water has a mass of 20 kg. Determine the total compression or elongation of each spring when the block is fully submerged in the water.
Here, block B is fully submerged. Referring to the FBD of the container, Fig. Determine the maximum weight of the load the balloon can lift if the volume of air it contains is ft3.
The empty weight of the balloon is lb. This gives. A boat having a mass of 80 Mg rests on the bottom of the lake and displaces Since the lifting capacity of the crane is only kN, two balloons are attached to the sides of the boat and filled with air. Determine the smallest radius r of each spherical balloon that is needed to lift the boat.
The balloons are at an average depth of 20 m. Neglect the mass of the air and the balloon. Applying the ideal gas law, When loaded with gravel, the barge floats in water at the depth shown. The intersection point M of the line of action of Fb and the centerline of the barge is the metacenter, Fig.
Therefore, the barge will restore itself. If its center of gravity is at G, determine whether the barge will restore itself when a wave causes it to tip slightly. The metacenter M is at the intersection point of the center line of the barge and the line of action of Fb, Fig.
Equating Eqs. Since MCb 7 GCb, the barge is in stable equilibrium. Thus, it will restore itself if tilted slightly. The can of alcohol rests on the floor of a hoist. The truck carries an open container of water. If it has a constant deceleration 1. The closed rail car is 2 m wide and filled with water to the level shown. The text presents a commitment to the development of student problem-solving skills and features many of the same pedagogical aids unique to Hibbeler texts.
Solutions manual for fluid mechanics 2nd edition by hibbeler ibsn On Solutions Manual Download 1 The text features many of the hallmark pedagogical aids unique to Hibbeler texts.
Ghim Tren Solutions Manual Download. Carol Morales October 14, Topic: Represent each of the following quantities with combi- nations of units in the correct SI form using an appropriate prefix. Download Now Download Download to read offline. Fluid mechanics 2nd edition hibbeler solutions manual Download Now Download Download to read offline. Gyn Follow. What to Upload to SlideShare. A few thoughts on work life-balance.
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Also, assume all pressures are gage pressures unless stated otherwise. Since the angle u of the inclined face is arbitrary, this indeed shows that the pressure at a point is the same in all directions for any fluid that has no shearing stress acting within it. The oil derrick has drilled 5 km into the ground before it strikes a crude oil reservoir. When this happens, the pressure at the well head A becomes 25 MPa. What should be the density of the mud so that the pressure at A becomes zero?
In , S. Riva-Rocci developed the prototype of the current sphygmomanometer, a device used to measure blood pressure. When it was worn as a cuff around the upper arm and inflated, the air pressure within the cuff was connected to a mercury manometer. If the reading for the high or systolic pressure is mm and for the low or diastolic pressure is 80 mm, determine these pressures in psi and pascals.
Oxygen in a tank has an absolute pressure of kPa. Determine the pressure head in mm of mercury. The atmospheric pressure is kPa. If the piezometer measures a gage pressure of 10 psi at point A, determine the height h of the water in the tube. Compare this height with that using mercury. For the mercury piezometer, Fig. If the absolute pressure in a tank is kPa, determine the pressure head in mm of mercury. D connected to the tank at C, and the system is open to the atmosphere at B and E.
Determine the maximum pressure in the level should the oil be in the tank, so that the maximum pressure occurs in the tank? What is this value? Absolute maximum pressure occurs at the base of the tank level A when the oil reaches level B.
D connected to the tank at C and open to the atmosphere at E. Determine the maximum pressure that can be developed in the maximum pressure occur? Assume that there is no air trapped in the tank and that the top of the tank at B is closed. A 2—9. The closed tank was completely filled with carbon tetrachloride when the valve at B was opened, slowly letting the carbon tetrachloride level drop as shown.
The atmospheric pressure is Note: When the vacuum is produced, it actually becomes an example of a Rayleigh— Taylor instability. The lower density fluid air will migrate up into the valve B and then rise into the space A, increasing the pressure, and pushing some water out the valve.
This back-and-forth effect will in time drain the tank. The soaking bin contains ethyl alcohol used for cleaning automobile parts. The structure shown is used for the temporary storage of crude oil at sea for later loading into ships.
When it is not filled with oil, the water level in the stem is at B sea level. As the oil is loaded into the stem, the water is displaced through exit ports at E.
If the stem is filled with oil, that is, to the depth of C, determine the height h of the oil level above sea level. It is required that the pressure at C caused by the water and oil be the same. If the water in the structure in Prob.
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