Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 3, Problem 142EP
To determine
The pressure of the steam boiler in
The pressure of the steam boiler in
The pressure of the steam boiler in
The pressure of the steam boiler in
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CORRECT ANSWER ONLY WITH COMPLETE FBD. PREFERABLY HANDWRITTEN. I WILL UPVOTE
1. The beam shown carries the following loads:Total dead load, wDL = 36 kN/mConcentrated live load, PLL = 240 kNThe beam section is HSS16X12X3/8 with properties:Span, L = 6 mArea, A = 12,100 mm2Moment of inertia about x-axis, Ix = 292 x 106 mm4Fy = 345 MPa
1. Calculate the location of the live load, from the left support, for maximum moment to occur at the fixed support.Answer: 2.536 m2. Calculate the maximum moment. Answer: 439.128 kN-m
CORRECT ANSWER AND COMPLETE FBD ONLY. I PREFER HANDWRITTEN BUT ITS OKAY IF NOT. I WILL UPVOTE
2. The space truss shown is supported by ball-and-socket joints at A, B and C. Factored loads P1 and P2 areacting on joints D and E, respectively, towards the negative y-direction.
1. Calculate the stress of member CE, indicate tension or compression. Answer: 23.61 MPa Tension2. Calculate the stress of member AD, indicate tension or compression. Answer: 21.01 MPa Compression3. Calculate the stress of member CD, indicate tension or compression. Answer: 11.03 MPa Tension
CORRECT ANSWER AND COMPLETE FBD ONLY. I PREFER HANDWRITTEN BUT ITS OKAY IF NOT. I WILL UPVOTE
3. The frame has pin supports at A and E, subject to a wind load. Treat joint C to be an internal hinge.
Given:Dimensions, H1 = 3.0 m; H2 = 4.5 m; L = 10.0 mWind loads, wWL (AB) = 4.8 kN/m; wWL (BC) = 3.9 kN/m; wWL (CD) = 1.5 kN/m; wWL (DE) = 1.2 kN/mMembers are made of A36 steel Wide Flange Section with the following properties:Area, A = 64000 mm2Depth, d = 762 mmFlange width, bf = 371 mmThickness of web, tw = 32 mmThickness of flange, tf = 57.9 mmMoment of inertia about x-axis, Ix = 6080 x 106 mm4The wide flange is oriented so that the bending is about the x-axis1. Calculate the stress in member AB, due to the axial load it carries, indicate if tension or compression.Answer: 0.0476 MPa Tension2. Calculate the stress in member DE, due to the axial load it carries, indicate if tension or compression.Answer: 0.2351 MPa Compression3. Calculate the maximum bending stress at B. Answer: 4.282 MPa
Chapter 3 Solutions
Fluid Mechanics Fundamentals And Applications
Ch. 3 - Someone claims that the absolute pressure in a...Ch. 3 - A tinysteel cube is suspended in water by a...Ch. 3 - Express Pascal’s law, and give a real-world...Ch. 3 - Consider two identical fans, one at sea level and...Ch. 3 - What is the difference between gage pressure and...Ch. 3 - Explain why some people experience nose bleeding...Ch. 3 - Prob. 7PCh. 3 - A vacuum gage connected to a chamber reads 36 kPa...Ch. 3 - The pressure at the exit of an air compressor is...Ch. 3 - The pressure in a water line is 1500 kPa. What is...
Ch. 3 - A manometer is used to measure the air pressure in...Ch. 3 - The water in a tank is pressurized by air, and the...Ch. 3 - Determine the atmospheric pressure at a location...Ch. 3 - The gagepressure in a liquid at a depth of 2.5 m...Ch. 3 - The absolute pressure in water at a depth of 8 m...Ch. 3 - Show that 1kgf/cm2=14.223psi .Ch. 3 - Prob. 17EPCh. 3 - Consider a 55-kg woman who has a total foot...Ch. 3 - A vacuum gage connected to a tank reads 45 kPa at...Ch. 3 - Prob. 20EPCh. 3 - A pressure gage connected to a tank reads 500kPa...Ch. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Water from a reservoir is raised in a vertical...Ch. 3 - The barometer of a mountain hiker reads 980 mbars...Ch. 3 - The basic barometer can be used to measure the...Ch. 3 - Prob. 28PCh. 3 - Prob. 29EPCh. 3 - A gas is contained in a vertical, frictionless...Ch. 3 - Both a gage and a manometer are attached to a gas...Ch. 3 - The variation of pressure P in a gas with density ...Ch. 3 - The system shown in the figure is used to...Ch. 3 - The manometer shown in the figure is designed to...Ch. 3 - A manometer containing ( =850kg/m3 ) attached to a...Ch. 3 - A mercury ( =13,600kg/m3 ) is connected to an air...Ch. 3 - Repeat Prob. 3-37 for a differential mercury...Ch. 3 - Blood pressure is usually measured by rapping a...Ch. 3 - The maximum blood pressure in the upper arm of a...Ch. 3 - Consider a 1.73-m-tall man standing vertically in...Ch. 3 - Consider a U-tube whose arms are open to the...Ch. 3 - Prob. 44PCh. 3 - Freshwater and seamier flowing in parallel...Ch. 3 - Repeat Prob. 3-48 by replacing the air with oil...Ch. 3 - The pressure in a natural gas pipeline is measured...Ch. 3 - Repeat Prob. 3-42E by replacing air by oil with a...Ch. 3 - The gage pressure of the air in the tank shown in...Ch. 3 - Repeat Prob. 3-44 for a gage pressure of 40 kPa.Ch. 3 - The 500-kg load on the hydraulic lift show in Fig....Ch. 3 - Prob. 52EPCh. 3 - Pressure is often given in terms of a liquid...Ch. 3 - Prob. 54PCh. 3 - Consider a double-fluid manometer attached to an...Ch. 3 - The pressure difference between an oil pipe and...Ch. 3 - Consider the system shown in Fig. P3-51. If a...Ch. 3 - Prob. 58PCh. 3 - Prob. 59PCh. 3 - Define the resultant hydrostatic force acting on a...Ch. 3 - Someone claims that she can determine the...Ch. 3 - A submersed horizontal flat plate is suspended in...Ch. 3 - You may have noticed that dams are much thicker at...Ch. 3 - Consider a submerged curved surface. Explain how...Ch. 3 - Consider a submersed curved surface. Explain how...Ch. 3 - Consider a circular surface subjected to...Ch. 3 - Consider a heavy car submerged in water in a lake...Ch. 3 - A long, solid cylinder of radius 2 ft hinged at...Ch. 3 - Consider a 8-m-long, 8-m-wide, and 2-m-high...Ch. 3 - Consider a 200-ft-high, dam filled to capacity....Ch. 3 - A room the lower level of a cruise ship has a...Ch. 3 - The water side of the wall of a 70-m-long dam is a...Ch. 3 - For a gate width of 2 m into the paper (Fig....Ch. 3 - Determine the resultant force acting on the...Ch. 3 - A 6-m-high, 5-m-wide rectangular plate blocks the...Ch. 3 - The flow of water from a reservoir is controlled...Ch. 3 - Repeat Prob. 3-76E for a water height of 6 ft.Ch. 3 - A water trough of semicircular cross section of...Ch. 3 - Prob. 80PCh. 3 - An open settling tank shown in the figure contains...Ch. 3 - From Prob. 3-80, knowing that the density of the...Ch. 3 - Prob. 83PCh. 3 - The two sides of a V-shaped water trough are...Ch. 3 - Repeat Prob. 3-82 for the case of a partially...Ch. 3 - A retaining wall against a mud slide is to be...Ch. 3 - Prob. 87PCh. 3 - A 4-m-long quarter-circular gate of radius 3 m and...Ch. 3 - Repeat Prob. 3-90 for a radius of 2 m for the...Ch. 3 - Consider a flat plate of thickness t, width w into...Ch. 3 - Prob. 91PCh. 3 - Consider a 1-m wide inclined gate of negligible...Ch. 3 - Prob. 93PCh. 3 - What is buoyant force? What causes it? What is the...Ch. 3 - Consider two identical spherical bails submerged...Ch. 3 - Consider two 5-cm-diaineter spherical balls-one...Ch. 3 - Prob. 97CPCh. 3 - Prob. 98CPCh. 3 - The density of a liquid is to be determined by an...Ch. 3 - A crane is used to lower weights into a lake for...Ch. 3 - Prob. 101PCh. 3 - Prob. 102PCh. 3 - Prob. 103PCh. 3 - It is estimated that 90 percent of an iceberg’s...Ch. 3 - The weight of a body is usually measured by...Ch. 3 - Prob. 106PCh. 3 - Prob. 107PCh. 3 - The hull of a boat has a volume of 180 m3, and the...Ch. 3 - Under what conditions can a moving body of fluid...Ch. 3 - Consider a glass of water. Compare the water...Ch. 3 - Consider two identical glasses of water, one...Ch. 3 - Consider a vertical cylindrical container...Ch. 3 - Prob. 113PCh. 3 - Consider two water tanks filled with water. The...Ch. 3 - Prob. 115PCh. 3 - A 3-ft-diameter vertical cylindrical lank open to...Ch. 3 - Prob. 117PCh. 3 - A 30-cm-diameter, 90-cm-high vertical cylindrical...Ch. 3 - A fish tank that contains 60-cm-high water is...Ch. 3 - A 3-m-diameter vertical cylindrical milk tank...Ch. 3 - Consider a tank of rectangular cross-section...Ch. 3 - The bottom quarter of a vertical cylindrical tank...Ch. 3 - Milk with a density of 1020 kg/m3 is transported...Ch. 3 - Prob. 124PCh. 3 - The distance between the centers of the two arms...Ch. 3 - A 1.2-m-diameter, 3-m-high scaled vertical...Ch. 3 - A15-ft-long, 6-ft-high rectangular tank open to...Ch. 3 - An 8-ft-long tank open to the atmosphere initially...Ch. 3 - A 3-m-diameter, 7-m-long cylindrical tank is...Ch. 3 - Prob. 131PCh. 3 - Prob. 132PCh. 3 - Prob. 133PCh. 3 - Prob. 134PCh. 3 - An air-conditioning system requires a 34-m-long...Ch. 3 - Prob. 136PCh. 3 - If the rate of rotational speed of the 3-tube...Ch. 3 - A 30-cm-diameter vertical cylindrical vessel is...Ch. 3 - Prob. 139PCh. 3 - Prob. 141PCh. 3 - Prob. 142EPCh. 3 - The basic barometer can be used as an...Ch. 3 - The lower half of a 12-m-high cylindrical...Ch. 3 - A vertical, frictionless pistoncylinder device...Ch. 3 - A pressure cooker cooks a lot faster than an...Ch. 3 - Prob. 147PCh. 3 - The average atmospheric pressure on earth is...Ch. 3 - When measuring small pressure differences with a...Ch. 3 - Prob. 150EPCh. 3 - Prob. 151PCh. 3 - A gasoline line is connected to a pressure gage...Ch. 3 - Prob. 154PCh. 3 - Prob. 155EPCh. 3 - The pressure of water flowing through a pipe is...Ch. 3 - Consider a U-tube filled with mercury as shown in...Ch. 3 - Prob. 158PCh. 3 - The variation of pressure with density in a thick...Ch. 3 - A 3-m-high. 5-m-wide rectangular gale is hinged al...Ch. 3 - Prob. 161PCh. 3 - A semicircular 40-ft-diameter tunnel is to be...Ch. 3 - A 30-ton. 4-m-diameter hemispherical dome on a...Ch. 3 - The water in a 25-m-deep reservoir is kept inside...Ch. 3 - Prob. 165PCh. 3 - A 1-m-diameter, 2-m-high vertical cylinder is...Ch. 3 - A 5-m-long, 4-m-high tank contains 2.5-m-deep...Ch. 3 - Prob. 169PCh. 3 - Prob. 170PCh. 3 - The density of a floating body can be determined...Ch. 3 - The 280-ke, 6-m-wide rectangular gate shown in Fig...Ch. 3 - Prob. 173PCh. 3 - Prob. 174PCh. 3 - Prob. 175PCh. 3 - The gage pressure in a pipe is measured by a...Ch. 3 - Prob. 177PCh. 3 - Prob. 178PCh. 3 - Prob. 179PCh. 3 - Consider the vertical rectangular wall of a water...Ch. 3 - Prob. 181PCh. 3 - Prob. 182PCh. 3 - Prob. 183PCh. 3 - Prob. 184PCh. 3 - Prob. 185PCh. 3 - Consider a 6-m-diameter spherical sate holding a...Ch. 3 - Prob. 188PCh. 3 - Prob. 189PCh. 3 - Prob. 190PCh. 3 - Prob. 191PCh. 3 - Prob. 192PCh. 3 - A 15-cm-diameter, 40-cm-high vertical cylindrical...Ch. 3 - Prob. 194PCh. 3 - Prob. 195PCh. 3 - Shoes are to be designed to enable people of up to...Ch. 3 - The volume of a rock is to be determined without...Ch. 3 - The density of stainless steel is about 8000 kg/m3...
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- 32 mm 32 mm b' c' C 32 mm 32 mm b PROBLEM 6.41 a The extruded beam shown has a uniform wall thickness of 3 mm. Knowing that the vertical shear in the beam is 9 kN, determine the shearing stress at each of the five points indicated.arrow_forwardIn a structural reliability problem, the resistance (capacity) R and load effect (demand) S random variables associated with a failure mode of the structure of interest are normally distributed and statistically independent with the following probability distribution parameters (or statistics) in consistent units: MR = 12, σR = 3 μs = 5, σs = 2 (a) Determine the exact probability of failure pF ·arrow_forwardThe resistance R and load effect S for a given failure mode are statistically independent random variables with marginal PDF's 1 fR (r) = 0≤r≤100 100' fs(s)=0.05e-0.05s (a) Determine the probability of failure by computing the probability content of the failure domain defined as {rarrow_forwardPlease solve this problem as soon as possible My ID# 016948724arrow_forwardThe gears shown in the figure have a diametral pitch of 2 teeth per inch and a 20° pressure angle. The pinion rotates at 1800 rev/min clockwise and transmits 200 hp through the idler pair to gear 5 on shaft c. What forces do gears 3 and 4 transmit to the idler shaft? TS I y 18T 32T This a 12 x 18T C 48T 5arrow_forwardQuestion 1. Draw 3 teeth for the following pinion and gear respectively. The teeth should be drawn near the pressure line so that the teeth from the pinion should mesh those of the gear. Drawing scale (1:1). Either a precise hand drawing or CAD drawing is acceptable. Draw all the trajectories of the involute lines and the circles. Specification: 18tooth pinion and 30tooth gear. Diameter pitch=P=6 teeth /inch. Pressure angle:20°, 1/P for addendum (a) and 1.25/P for dedendum (b). For fillet, c=b-a.arrow_forward5. The figure shows a gear train. There is no friction at the bearings except for the gear tooth forces. The material of the milled gears is steel having a Brinell hardness of 170. The input shaft speed (n2) is 800 rpm. The face width and the contact angle for all gears are 1 in and 20° respectively. In this gear set, the endurance limit (Se) is 15 kpsi and nd (design factor) is 2. (a) Find the revolution speed of gear 5. (b) Determine whether each gear satisfies the design factor of 2.0 for bending fatigue. (c) Determine whether each gear satisfies the design factor of 2.0 for surface fatigue (contact stress). (d) According to the computation results of the questions (b) and (c), explain the possible failure mechanisms for each gear. N4=28 800rpm N₁=43 N5=34 N₂=14 P(diameteral pitch)=8 for all gears Coupled to 2.5hp motorarrow_forward1. The rotating steel shaft is simply supported by bearings at points of B and C, and is driven by a spur gear at D, which has a 6-in pitch diameter. The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point A of TA =3000 lbĘ in. The shaft is machined from steel with Sy=60kpsi and Sut=80 kpsi. 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