Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 2, Problem 26P
To determine
The lowest pressure that can exist in the pump to the corresponding temperature
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A bar of length L and of a circular cross-section of diameter D is clamped at the top end and loaded at the other (bottom) end by a point load P as shown in Figure
Q2a. The cross-section of the bar is shown in Figure Q2b indicating that load is applied at the point A. The material used in the bar has specific weight y.
Find the magnitude and location of the maximum normal stress in the bar.
Z
Figure Q2 a
Figure Q2 b
45°
A
A close end tube of thin-walled circular section may be subjected to torque Tand internal pressure P, as shown in Figure Q3. The shear stress in the wall caused by
the torque can be calculated as T = T/(2πR²t), where the mean radius of the cross section is R(i.e., the radius of the centreline of the wall) and the wall thickness
is t. The internal radius of the tube can be calculated as (R-t/2). However, as R>>t, you can approximately assume that the internal radius of the tube is equal to Rin
the subsequent calculation. The tube is made from a material with Young's modulus E, Poisson's ratio v.
T
Centreline of
the wall
R
P
Ozz
бөө
Orr
Z
бут
бее
Ozz
Figure Q3
(a) If the change of the diameter cannot exceed 0.1 m under elastic deformation, calculate the minimum allowable wall thickness of the cylindrical pressure vessel if
P=23.6 MPa, T=0 KN.m, R = 2 m, Young's modulus E = 246 GPa, and Poisson's ratio v = 0.21.
Step-1
the functional relationships between hoop stress σ and wall thickness…
A cantilever beam of a channel section and length L is loaded by a point load W applied at half-length of the beam through the centroid of the section, as shown in Figure Q1. The material of the beam is aluminum alloy with the Young’s modulus of E .
Chapter 2 Solutions
Fluid Mechanics Fundamentals And Applications
Ch. 2 - For a substance, what is the difference between...Ch. 2 - What is the difference between intensive and...Ch. 2 - What is specific gravity? How is it related to...Ch. 2 - The specific weight of a system is defined as the...Ch. 2 - Prob. 5CPCh. 2 - Under what conditions is the ideal-gas assumption...Ch. 2 - What is the difference between R and Ru? How are...Ch. 2 - A fluid that occupies a volume of 24 L weighs 22 N...Ch. 2 - Prob. 9PCh. 2 - A mass of 1-Ibm of argon is maintained at 200 psia...
Ch. 2 - What is the specific volume of oxygen at 40 psia...Ch. 2 - The air in an automobile tire with a volume of...Ch. 2 - The pressure in an automobile tire depends on the...Ch. 2 - A spherical balloon with a diameter of 9 m is...Ch. 2 - Prob. 16PCh. 2 - Prob. 18EPCh. 2 - Does water boil at higher temperatures at higher...Ch. 2 - Prob. 22CPCh. 2 - What is cavitation? What causes it?Ch. 2 - What is vapor pressure? How is it related to...Ch. 2 - Prob. 24EPCh. 2 - A pump is used to transport water to a higher...Ch. 2 - Prob. 26PCh. 2 - The analysis of a propeller that operates in water...Ch. 2 - What is flow energy? 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Why is...Ch. 2 - Prob. 97CPCh. 2 - What is the capillary effect? What is its cause?...Ch. 2 - Prob. 99CPCh. 2 - Is the capillary rise greater in small- or...Ch. 2 - Prob. 101PCh. 2 - A2.4-in-diameter soap bubble is to be enlarged by...Ch. 2 - Prob. 103PCh. 2 - Determine the gage pressure inside a soap bubble...Ch. 2 - A 0.03-in-diameter glass tube is inserted into...Ch. 2 - Prob. 106PCh. 2 - A capillary tube of 1.2 mm diameter is immersed...Ch. 2 - Prob. 108PCh. 2 - Contrary to what you might expect, a solid steel...Ch. 2 - Nutrients dissolved in water are carried to upper...Ch. 2 - Prob. 111PCh. 2 - Consider a 55-cm-long journal bearing that is...Ch. 2 - Prob. 113PCh. 2 - Prob. 114PCh. 2 - A rigid tank contains an ideal gas at 300kPa and...Ch. 2 - The absolute pressure of an automobile tire is...Ch. 2 - The composition of a liquid with suspended solid...Ch. 2 - Prob. 119PCh. 2 - A 10-m3 tank contacts nitrogen at 25C and 800kPa....Ch. 2 - Prob. 123PCh. 2 - Although liquids, in general, are hard to...Ch. 2 - Prob. 125PCh. 2 - Prob. 126PCh. 2 - Prob. 127PCh. 2 - Reconsider Prob. 2-120. The shaft now rotates with...Ch. 2 - A 10-cm diameter cylindrical shaft rotates inside...Ch. 2 - Some rocks or bricks contain small air pockets in...Ch. 2 - Prob. 131PCh. 2 - Prob. 132PCh. 2 - Prob. 133PCh. 2 - Prob. 134PCh. 2 - Liquid water vaporizes into water vaper as it ?aws...Ch. 2 - In a water distribution system, the pressure of...Ch. 2 - Prob. 137PCh. 2 - The difference between the energies of a flowing...Ch. 2 - Prob. 139PCh. 2 - An ideal gas is compressed isothermally from...Ch. 2 - Prob. 141PCh. 2 - Prob. 142PCh. 2 - Prob. 143PCh. 2 - Water is compressed from 100 kPa to 5000 kPa at...Ch. 2 - Prob. 145PCh. 2 - The dynamic viscosity of air at 20C and 200kPa is...Ch. 2 - A viscometer constructed of two 30-cm -long...Ch. 2 - Prob. 148PCh. 2 - Prob. 149PCh. 2 - Prob. 150PCh. 2 - Prob. 151PCh. 2 - Prob. 152PCh. 2 - Prob. 153PCh. 2 - Prob. 154PCh. 2 - Evan though steel is about 7 to 8 times denser...
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- A bar of length L and of a circular cross-section of diameter D is clamped at the top end and loaded at the other (bottom) end by a point load P as shown in Figure Q2a. The cross-section of the bar is shown in Figure Q2b indicating that load is applied at the point A. The material used in the bar has specific weight y. Find the magnitude and location of the maximum normal stress in the bar. Figure Q2 a Figure Q2 b 45°arrow_forwardQuestion2 The mission profile for a jet driven aircraft consists of the following segments: engine start and warm-up, taxi, take-off, climb to the cruise altitude of 35000 ft, descend to 10000 ft, one hour loiter at this altitude at 60% of the cruise speed, flight at loiter speed and altitude to an alternate airport (100 nm), descend to landing approach condition followed by the final landing, taxi and shutdown. The cruise Mach number is 0.8. No provisions are made for the reserved fuel or any trapped oil and fuel. The aircraft carries 200 people (including pilots and the cabin crew) at 175 lb each and 90 lb baggage each. This aircraft has a wing area of 2000 ft² a) If the landing stall speed of the aircraft is set at 100 kts corresponding to a landing weight of 0.85 Wro, and C(Lmax) Landing = 2.50, determine take-off weight and then calculate the range and empty weight of this aircraft (see Table Q2). Consider landing at sea level on a standard day. L/D at cruise L/D at 10000ft flight…arrow_forwardq Y X A ΕΙ L B Marrow_forward
- If L=3508 mm, W-9189 N, E=80 GPa, Determine the deflection at the free end of the beam. Step-1 The bend moment of the beam, M (Units: N.m), as a function of spatial coordinate X ( Units: m) can be described by Select one: O 1. M = 16117.506 +9189.000*X, for 0<=X<= L/2; M=0.00, for L/2< x <= L O 2. M = 16117506.000 - 9189.000*X, for 0<= x <= L/2; M = 9189.000* X, for L/2< x <= L O 3. M=16117.5069189.000*X, for 0<=X<= L/2; M=0.00, for L/2< x <= L O 4. M = 16117506.000 + 9189.000*X, for 0<=X<= L/2; M = 9189.000*X, for L/2arrow_forwardQuestion 1 A three-blade propeller of a diameter of 2 m has an activity factor AF of 200 and its ratio of static thrust coefficient to static torque coefficient is 10. The propeller's integrated lift coefficient is 0.3.arrow_forwardA close end tube of thin-walled circular section may be subjected to torque 7 and internal pressure P, as shown in Figure Q3. The shear stress in the wall caused by the torque can be calculated as T = T/(2πR²t), where the mean radius of the cross section is R (i.e., the radius of the centreline of the wall) and the wall thickness is t. The internal radius of the tube can be calculated as (R-t/2). However, as R>>t, you can approximately assume that the internal radius of the tube is equal to Rin the subsequent calculation. The tube is made from a material with Young's modulus E, Poisson's ratio v. Orr T t P Ozz бөө Orr Z T Ozz бед Figure Q3 Centreline of the wall R (a) If the change of the diameter cannot exceed 0.1 m under elastic deformation, calculate the minimum allowable wall thickness of the cylindrical pressure vessel if P=23.6 MPa, T=0 KN.m, R = 2 m, Young's modulus E = 246 GPa, and Poisson's ratio v = 0.21.arrow_forwardQuestion2 The mission profile for a jet driven aircraft consists of the following segments: engine start and warm-up, taxi, take-off, climb to the cruise altitude of 35000 ft, descend to 10000 ft, one hour loiter at this altitude at 60% of the cruise speed, flight at loiter speed and altitude to an alternate airport (100 nm), descend to landing approach condition followed by the final landing, taxi and shutdown. The cruise Mach number is 0.8. No provisions are made for the reserved fuel or any trapped oil and fuel. The aircraft carries 200 people (including pilots and the cabin crew) at 175 lb each and 90 lb baggage each. This aircraft has a wing area of 2000 ft² L/D at cruise L/D at 10000ft flight Table Q2 20 16 0.43 lb/hr/lb 0.50 lb/hr/lb C: Specific Fuel Consumption at cruise: C: Specific Fuel Consumption at 10000 ft flight: Weight ratios Engine Start and warm-up Taxi Take-off Climb Descent Landing, taxi and shutdown 0.992 0.996 0.996 0.996 0.992 0.992 Question 2 continues on the…arrow_forward[(a) If the change of the diameter cannot exceed 0.1 m under elastic deformation, calculate the minimum allowable wall thickness of the cylindrical pressure vessel. (P= 23.6 MPa, T=0 KN.m, R = 2 m, Young's modulus E = 246 GPa, and Poisson's ratio v = 0.21)] Step-4 The minimum allowable wall thickness of the cylindrical pressure vessel can be calculated as (Units: mm and rounded to three decimal places) Select one O 1.8.481 O 2.4.240 ○ 3.6.869 ○ 4. 16.961 5. 13.738 O 6.3.434arrow_forward[If L=3508 mm, W=9189 N, E=80 GPa, Determine the deflection at the free end of the beam.] Step -3 Which equation in the following choices most accurately represents the functional relationship between the value of the deflection v ( Units: mm) at half length (x =L/2) of the beam and the second moment of area about z-axis of the cross section, Izz ( Units: mm²): (Please note that " X = L/2" is the same as "X=L÷2".) Select one: O 1. v 588830960.433/Izz O 2. v=338836061.442/Izz O 3. v 119832265.632/Izz O 4. v 413214709.076/Izz O 5. v=287184222.808/Izz O 6. v=206607354.538/Izz O 7. v=66114353.452/Izz O 8. v 752050770.518/Izzarrow_forwardA bar of length L and of a circular cross-section of diameter D is clamped at the top end and loaded at the other (bottom) end by a point load P as shown in Figure Q2a. The cross-section of the bar is shown in Figure Q2b indicating that load is applied at the point A. The material used in the bar has specific weight y. Find the magnitude and location of the maximum normal stress in the bar. Figure Q2 a Figure Q2 b 45° A Step -1 The given load case can be represented by a statically equivalent system of the following loads Select one: O 1. A tensile force placed at the centroid with intensity equals to 0.354 P; a bending moment about zaxis, M₂ = (P×D× 0.708); a bending moment about yaxis, My= (Px D× 0.177); and self-weight of the vertical beam producing maximum tensile stress at the built-in end. ○ 2. A tensile force placed at the centroid with intensity equals to 0.354P; a bending moment about z axis, M₂ = (PxDx 0.354); a bending moment about yaxis, My= (Px D× 0.177); and self-weight…arrow_forwardQuestion 1 A three-blade propeller of a diameter of 2 m has an activity factor AF of 200 and its ratio of static thrust coefficient to static torque coefficient is 10. The propeller's integrated lift coefficient is 0.3. a) Calculate the static power and thrust coefficients.arrow_forwardA cantilever beam of a channel section and length L is loaded by a point load W applied at half-length of the beam through the centroid of the section, as shown in Figure Q1. The material of the beam is aluminum alloy with the Young's modulus of E. 1. As illustrated in Figure Q1, the Y-axis is positioned along the symmetric plane of the cross-section, while the Z-axis and X-axis pass through the centroid of the cross-section. The X-axis is defined using the right-hand rule, with the origin located at the fixed end. The distance from the centroid to the bottom of the cross- section, yc (Units: mm), is: Select one: O 1. 48.72 O 2. 70.24 ○ 3. 76.38 ○ 4. 83.12 O 5. 68.73 ○ 6. 50.26 ○ 7. 56.19 ○ 8. 88.73 ○ 9. 62.82 O 10. 42.83 W a a 25 mm y Z AN a-a 25 mm 150 mm SC yc 6 mm Figure Q 1 200 mmarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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