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Determine the force in members CD, ED, and CF of the space truss and state if the members are in tension or compression. O E 2 m 2 m 2 m/ - 3 m 2 kN 2 kN Determine the horizontal and vertical components of reaction at A, B, and C of the three-hinged arch.Assume A, B, and C are pin connected. 4k B |2 ft 3k 5 ft 8 ft - 7 ft- -4 ft--7 ft- -5 ft| - 10 ft Draw the shear and moment diagrams for each of the three members of the frame. Assume the frame is pin connected at A, C, and D and there is a fixed joint at B. 50 kN 40 kN -1.5 m- -2 m- -1.5 m- | c|... Determine the shear and moment throughout the beam as a function of x. 8 kN/m 3 m Determine the shear and moment throughout the beam as a function of x. 7 kN 12 kN m B -4 m- -2 m- -2 m- Where should a single 500-lb live load be placed on the beam so it causes the largest moment at D? What is this moment? Assume the support at A is fixed,Bis pinned, and C is a roller. 8 ft- 20 ft- 8... Draw the influence line for the moment at Fin the girder. Determine the maximum positive live moment in the girder at F if a single concentrated live force of 8 kN moves across the top floor beams.... A uniform live load of 6.5 kN/m and a single concentrated live force of 15 kN are placed on the floor beams. If the beams also support a uniform dead load of 600 N/m, determine (a) The maximum... Determine the shear and moment throughout the beam as a function of x. 8 kN 8 kN 4 kN 1 m- 1 m boo Determine the maximum moment at point Con the single girder caused by the moving dolly that has a mass of 2 Mg and a mass center at G. Assume A is a roller. B0.5m 1.5 m 5 m 5 m - -5 m- Determine the maximum positive shear at point B if the rail supports the load of 2.5 k on the trolley. 8 ft -6 ft--6 ft - 8 ft B. 1 ft|2 ft 2.5 k Determine the absolute maximum moment in the bridge due to the loading shown. 6k 3k 2k4k 5 ft 3 ft 3 ft 30 ft Determine the maximum moment at C caused by the moving loads. 6 k 4 k 2k 3 ft 4 ft 3 ft -20 ft - -30 ft- The truck has a mass of 4 Mg and mass center at G 1 , and the trailer has a mass of 1 Mg and mass center at G 2 , Determine the absolute maximum live moment developed in the bridge. G2 l1,5 ml1.5 ml... Draw the influence line for the force in member IH of the bridge truss. Determine the maximum force (tension or compression) that can be developed in this member due to a 72-k truck having the wheel... Using the cantilever method of analysis. Each column has the cross-sectional area indicated. Area 24(10 -3 )m 2 16(10 -3 )m 2 16(10 -3 )m 2 24(10 -3 )m 2 K L 20 kN 4 m E F 40 kN 4 m A D E 4 m 4 m-... Use the cantilever method and determine (approximately) the reactions at A. All of the columns have the same cross-sectional area. 3k 15 ft D 4 k 15 ft E 18 ft- -20 ft- Determine the displacement at C. Assume A is a fixed support,Bis a pin, and Dis a roller. EI is constant. Use the moment-area theorems. 25 kN -3 m 3 m 3 m Determine the equations of the elastic curve using the coordinates x 1 and x 2 , and specify the slope at C and displacement at B. EI is constant. X1 Determine the equations of the elastic curve using the coordinates x 1 and x 3 , and specify the slope at Band deflection at C. EI is constant. - x2 X1 X Determine the vertical displacement of joint C of the truss. Each member has a cross-sectional area of A = 300 mm 2 . E = 200. Using Castiglianos theorem. 3 m 4 m 4 m 4 m 3 kN 3 kN 4 kN Determine the force in member AB, BC and BD which is used in conjunction with the beam to carry the 30-k load. The beam has a moment of inertia of I = 600 in 4 , the members AB and BC each have a... Determine the moment at joints D and C, then draw the moment diagram for each member of the frame. Assume the supports at A and B are pins. EI is constant. 3/ft 12 ft A. Esat 5 ft 10 ft -5 ft Determine the moments at D and C, then draw the moment diagram for each member of the frame. Assume the supports at A and B are pins and D and C are fixed joints. EI is constant. 5 k/ft 12 ft- 9 ft A Determine the moments at B and C, then draw the moment diagram for the beam. Assume the supports at B and C are rollers and A and D are pins. EI is constant. 12 kN/m 12 kN/m A 4 m 6 m 4 m What codes and regulations are likely to apply to a building construction project? Recognizing the importance of construction quality control, what steps do you suggest an owner take to assure delivery of a satisfactory facility? The maximum pressure that can be developed for a certain fluid power cylinder is 6000 psi. Compute the force it can exert if its piston diameter is 2.00 in. Compute the pressure change required to cause a decrease in the volume of ethyl alcohol by 1.00 percent. Express the result in both psi and MPa. Compute the pressure change required to cause a decrease in the volume of mercury by 1.00 percent. Express the result in both psi and MPa. The specific gravity of benzene is 0.876. Calculate its specific weight and its density in SI units. A cylindrical can 150 mm in diameter is filled to a depth of 100 mm with a fuel oil. The oil has a mass of 1.56 kg. Calculate its density, specific weight, and specific gravity. Vinegar has a density of 1080 kg/m 3 . Calculate its specific weight and its specific gravity. What volume of mercury (sg = 13.54) would weigh the same as 0.020 m 3 of castor oil, which has a specific weight of 9.42 kN/m 3 ? Convert 1600 square millimeters to square meters. Calculate the velocity in m/s of a 12-kg object if it has a kinetic energy of 15 Nm. The formula for kinetic energy is KE = mv 2 , where m = mass and v = velocity. Compute the pressure produced in the oil in a closed cylinder by a piston exerting a force of 12.0 kN on the enclosed oil. The piston has a diameter of 75 mm. The maximum pressure that can be developed for a certain fluid power cylinder is 20.5 MPa. Compute the force it can exert if its piston diameter is 50 mm. Calculate the weight of a jar of castor oil if it has a mass of 450 g. The variable m has dimensions of mass, h and y have dimensions of length, and t has dimensions of time. What are the dimensions of the following quantities? (a) my/t, (b) hy/t 2 , (c) y 3 /(ht) The speed v of a bullet satisfies the relation vt = 95 m, where t = 0.25 s. Find v. Match each of the following examples of motion to one of the positiontime graphs in Figure P2.22. (a) A person at the beginning of a race, starting from rest (b) A runner near the end of a race, just... The peak of a certain mountain is 13 500 ft above sea level. What is the approximate atmospheric pressure? Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express... Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express... Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express... Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express... Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express... Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express... Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express... Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express... Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express... Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express... The pressure in an unknown fluid at a depth of 4.0 ft is measured to be 1.820 psig. Compute the specific gravity of the fluid. The pressure at the bottom of a tank of propyl alcohol at 25C must be maintained at 52.75 kPa(gage). What depth of alcohol should be maintained? An open tank contains ethylene glycol at 25C. Compute the pressure at a depth of 3.0 m. Figure 3.19 shows a diagram of the hydraulic system for a vehicle lift. An air compressor maintains pressure above the oil in the reservoir. What must the air pressure be if the pressure at point A... Figure 3.20 shows a clothes washing machine. The pump draws fluid from the tub and delivers it to the disposal sink. Compute the pressure at the inlet to the pump when the water is static (no flow).... For the tank shown in Fig. 3.21, determine the reading of the bottom pressure gage in psig if the top of the tank is sealed, the top gage reads -10.8 psig, and the depth of the oil h is 6.25 ft. Air... A storage tank for sulfuric acid is 1.5 m in diameter and 4.0 m high. If the acid has a specific gravity of 1.80, calculate the pressure at the bottom of the tank. The tank is open to the atmosphere... For the manometer shown in Fig. 3.29, calculate (p A - p B ). Oil l 150 mm (sg = 0.90) Water 750 mm Mercury (sg = 13.54) 500 mm Figure 3.35 shows an inclined well-type manometer in which the distance L indicates the movement of the gage fluid level as the pressure pA is applied above the well. The gage fluid has a specific... The pressure in a vacuum chamber is -68.2 kPa. Express this pressure in mmHg. An exhaust system for a room creates a partial vacuum in the room of 1.20 in of water relative to the atmospheric pressure outside the room. Compute the net force exerted on a 36- by 80-in door to... Refer to Fig. 4.30. 3.5 ft 12 in- Reservoir for a hydraulic system. Compute force on side AB. 14 in Oil (sg = 0.93) 8 in If the tank in Fig. 4.42 is filled just to the bottom of the filler pipe with gasoline (sg = 0.67), calculate the magnitude and location of the resultant force on the flat end. 375 mm 300 mm-... Repeat Problem 4.19 (Fig. 4.31), except that the tank is now sealed at the top with a pressure of 13.8 kPa above the oil. 450-mm diameter 0.45 m 1.5 m Circular view port is centered in inclined side... Consider the plane electromagnetic wave in vacuum (in SI units) given by the expressions E x = 0, E y = 2 cos [2 10 14 (t - x/c) + /2], and E z = 0. (a) What are the frequency, wavelength, direction... Consider a linearly polarized plane electromagnetic wave traveling in the +x-direction in free space having as its plane of vibration the xy-plane. Given that its frequency is 10 MHz and its... The shape of the interface pictured in Fig. P.5.1 is known as a Cartesian oval after René Descartes, who studied it in the 1600s. Its the perfect configuration to carry any ray from S to... A cube has side dimensions of 18.00 in. It is made of steel having a specific weight of 491 lb/ft 3 . What force is required to hold it in equilibrium under mercury? A cylindrical block of wood is 1.00 m in diameter and 1.00 m long and has a specific weight of 8.00 kN/m 3 . Will it float in a stable manner in water with its axis vertical? A barge is 60 ft long, 20 ft wide, and 8 ft deep. When empty, it weighs 210 000 lb, and its center of gravity is 1.5 ft above the bottom. Is it stable when floating in water? Convert 459 gal/min to m 3 /s. Table 6.2 lists the range of typical volume flow rates for centrifugal fire-fighting pumps to be 500 to 2500 gal/min. Express this range in the units of ft 3 /s and m 3 /s. Flow rate (m/h) Type of... A small metering pump delivers 11.4 gal of a water treatment chemical per 24 h. Express this flow rate in ft 3 /s. Oil for a hydraulic system (sg = 0.90) is flowing at 2 .35 10 -3 m 3 /s . Calculate the weight flow rate and mass flow rate. Calculate the diameter of a pipe that would carry 75.0 ft 3 / s of a liquid at an average velocity of 10.0 ft/s. Repeat Problem 6.45, except specify suitable sizes for the suction lines to maintain the velocity between 2.0 ft/s and 7.0 ft/s for 30 gal/min of flow. Repeat Problem The recommended velocity of flow... Table 6.2 shows the typical volume flow rate for centrifugal fire-fighting pumps is in the range of 1800 L/min to 9500 L/min. Specify the smallest suitable DN size of Schedule 40 steel pipe for each... Pulling gs. Suppose again you are the astronaut in Problem 9. When most people are subjected to an acceleration greater than about 5 g, they will usually become unconscious (black out). Will you be... A hockey puck slides along a rough, icy surface. It has an initial velocity of 35 m/s and slides to a stop after traveling a distance of 95 m. Find the coefficient of kinetic friction between the... Give an example of motion in which the acceleration and the velocity are in opposite directions. A driver makes an emergency stop and inadvertently locks up the brakes of the car, which skids to a stop on dry concrete. Consider the effect of rain on this scenario. If the coefficients of kinetic... Consider a swimmer who wants to swim directly across a river as in Example 4.7. If the speed of the current is 0.30 m/s and the swimmers speed relative to the water is 0.60 m/s, how long will it take... An airplane is flying horizontally with a constant velocity of 200 m/s at an altitude of 5000 m when it releases a package. (a) How long does it take the package to reach the ground? (b) What is the... A swimmer is able to swim at a speed of 0.90 m/s in still water. (a) How long does it take the swimmer to go a distance of 1500 m in still water? Call this time t 1 . (b) The swimmer then decides to... A flag of mass 2.5 kg is supported by a single rope as shown in Figure P4.9. A strong horizontal wind exerts a force of 12 N on the flag. Find the tension in the rope and the angle u the rope makes... A system of cables is used to support a crate of mass m = 45 kg as shown in Figure P4.7. Find the tensions in all three cables. Figure P4.7 T3 T1 K60 T2 At what angle should a ball be thrown so that it has the maximum range? Ignore air drag. What depth of fluid above the outlet nozzle is required to deliver 200 gal/min of water from the tank shown in Fig. 6.37? The nozzle has a 3-in diameter. Figure 6.37 -D, - 75-mm diameter D,- 25-mm... For the siphon in Fig. 6.26, assume that the volume flow rate is 5.6 10 -3 m 3 /s. Determine the maximum allowable distance Y if the minimum allowable pressure in the system is -18 kPa (gage). For the siphon in Fig. 6.26, calculate (a) the volume flow rate of water through the nozzle and (b) the pressure at points A and B. The distances X = 4.6 m and Y = 0.90 m. +B Water 50-mm OD - x... Calculate the pressure of the air in the sealed tank shown in Fig. 6.25 that would cause the velocity of flow to be 20 ft/s from the nozzle. The depth h is 10 ft. Air under pressure Water 3-in... Compute the resulting velocity of flow if 400 gal/min of fluid flows through a 4-in Schedule 40 pipe. Gasoline (sg = 0.67) is flowing at 4.0 ft 3 /s in the fabricated reducer shown in Fig. 6.34. If the pressure before the reduction is 60 psig, calculate the pressure in the 3-indiameter section. In Problem 7.8 (Fig. 7.17), if the left-hand tank is also sealed and air pressure above the water is 68 kPa, calculate the pump power. In Problem A pump is being used to transfer water from an open... The setup shown in Fig. 7.16 is being used to measure the energy loss across a valve. The velocity of flow of the oil is 1.2 m/s. Calculate the value of K if the energy loss is expressed as K(v 2... A horizontal pipe carries oil with a specific gravity of 0.83. If two pressure gages along the pipe read 74.6 psig and 62.2 psig, respectively, calculate the energy loss between the two gages. Calculate the Reynolds number for the flow of each of the following fluids in a 2-in Schedule 40 steel pipe if the volume flow rate is 0.25 ft 3 /s: (a) Water at 60F, (b) Acetone at 77F, (c) Castor...
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