THERMODYNAMICS (LL)-W/ACCESS >CUSTOM<
9th Edition
ISBN: 9781266657610
Author: CENGEL
Publisher: MCG CUSTOM
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Textbook Question
Chapter 1.11, Problem 19P
A large fraction of the thermal energy generated in the engine of a car is rejected to the air by the radiator through the circulating water. Should the radiator be analyzed as a closed system or as an open system? Explain.
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Consider the bar, shown in Figure 1 that undergoes axial displacement due to both a distributed load
and a point force. The bar is of cross-sectional area A = 1.10-3 m², and has a modulus of elasticity
E = 100 GPa.
1(x) = 5 kN/m
x=0.0
x=2.0
2.0m
10 kN
Figure 1: Bar domain with varying distributed forces.
a) The general form of the governing equations describing the bar's displacement, u(x), is given by,
d
(AE du(x))
-) +1(x) = 0.
d.x
dx
What are the accompanying boundary conditions for this bar?
b) Using the mesh in Figure 2, form the basis functions associated with element 2 and write the FEM
approximation over the element.
1
2
3
1
2
1m
1m
Figure 2: Mesh of 2 elements. Elements are numbered with underlines.
c) The general form of the element stiffness matrix system, with nodes indexed by i and j, is,
AE
Uj
N;(x)l(x)dx
– Ng(0)f(0)
¥ [4]}]{{}}={{{}\(\\+} + {N(2)f(2) = N (0)5() },
(1)
0, respectively.
L
=
(2)
where f(2) and f(0) denote the boundary forces at positions x 2 and x
Evaluate…
answer please
amination)
Question 1
Consider the bar, shown in Figure 1, that undergoes axial displacement due to both a distributed load
and a point force. The bar is of cross-sectional area A = 1.103 m2, and has a modulus of elasticity
E = 100 GPa.
1(x) = 5 kN/m
10 kN
X
x=0.0
x=2.0
2.0m
Figure 1: Bar domain with varying distributed forces.
a) The general form of the governing equations describing the bar's displacement, u(x), is given by,
d
(AE du(x)) + 1(x) = 0.
dx
dx
What are the accompanying boundary conditions for this bar?
MacBook Air
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会
DII
F5
F6
F7
F8
80
F3
F4
0/
20
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Chapter 1 Solutions
THERMODYNAMICS (LL)-W/ACCESS >CUSTOM<
Ch. 1.11 - The value of the gravitational acceleration g...Ch. 1.11 - One of the most amusing things a person can...Ch. 1.11 - An office worker claims that a cup of cold coffee...Ch. 1.11 - What is the difference between the classical and...Ch. 1.11 - Explain why the light-year has the dimension of...Ch. 1.11 - What is the difference between pound-mass and...Ch. 1.11 - What is the net force acting on a car cruising at...Ch. 1.11 - What is the weight, in N, of an object with a mass...Ch. 1.11 - If the mass of an object is 10 lbm, what is its...Ch. 1.11 - The acceleration of high-speed aircraft is...
Ch. 1.11 - The value of the gravitational acceleration g...Ch. 1.11 - A 3-kg plastic tank that has a volume of 0.2 m3 is...Ch. 1.11 - A 2-kg rock is thrown upward with a force of 200 N...Ch. 1.11 - Solve Prob. 113 using appropriate software. Print...Ch. 1.11 - A 4-kW resistance heater in a water heater runs...Ch. 1.11 - A 150-lbm astronaut took his bathroom scale (a...Ch. 1.11 - The gas tank of a car is filled with a nozzle that...Ch. 1.11 - How would you define a system to determine the...Ch. 1.11 - A large fraction of the thermal energy generated...Ch. 1.11 - A can of soft drink at room temperature is put...Ch. 1.11 - How would you define a system to determine the...Ch. 1.11 - How would you describe the state of the air in the...Ch. 1.11 - What is the difference between intensive and...Ch. 1.11 - The specific weight of a system is defined as the...Ch. 1.11 - Is the number of moles of a substance contained in...Ch. 1.11 - Is the state of the air in an isolated room...Ch. 1.11 - What is a quasi-equilibrium process? What is its...Ch. 1.11 - Define the isothermal, isobaric, and isochoric...Ch. 1.11 - What is specific gravity? How is it related to...Ch. 1.11 - What are the ordinary and absolute temperature...Ch. 1.11 - Consider an alcohol and a mercury thermometer that...Ch. 1.11 - Consider two dosed systems A and B. System A...Ch. 1.11 - Consider a system whose temperature is 18C....Ch. 1.11 - Steam enters a heat exchanger at 300 K. What is...Ch. 1.11 - The temperature of a system rises by 130C during a...Ch. 1.11 - The temperature of a system drops by 45F during a...Ch. 1.11 - The temperature of the lubricating oil in an...Ch. 1.11 - Heated air is at 150C. What is the temperature of...Ch. 1.11 - What is the difference between gage pressure and...Ch. 1.11 - Explain why some people experience nose bleeding...Ch. 1.11 - A health magazine reported that physicians...Ch. 1.11 - Someone claims that the absolute pressure in a...Ch. 1.11 - Consider two identical fans, one at sea level and...Ch. 1.11 - The absolute pressure in a compressed air tank is...Ch. 1.11 - A manometer measures a pressure difference as 40...Ch. 1.11 - A vacuum gage connected to a chambee reads 35 kPa...Ch. 1.11 - The maximum safe air pressure of a tire is...Ch. 1.11 - A pressure gage connected to a tank reads 50 psi...Ch. 1.11 - A pressure gage connected to a tank reads 500 kPa...Ch. 1.11 - A 200-pound man has a total foot imprint area of...Ch. 1.11 - The gage pressure in a liquid at a depth of 3 m is...Ch. 1.11 - The absolute pressure in water at a depth of 9 m...Ch. 1.11 - Consider a 1.75-m-tall man standing vertically in...Ch. 1.11 - The barometer of a mountain hiker reads 750 mbars...Ch. 1.11 - The basic barometer can be used to measure the...Ch. 1.11 - A gas is contained in a vertical, frictionless...Ch. 1.11 - Reconsider Prob. 158. Using appropriate software,...Ch. 1.11 - The piston of a vertical piston-cylinder device...Ch. 1.11 - Both a gage and a manometer are attached to a gas...Ch. 1.11 - Reconsider Prob. 161. Using appropriate software,...Ch. 1.11 - A manometer containing oil ( = 850 kg/m3) is...Ch. 1.11 - A manometer is used to measure the air pressure in...Ch. 1.11 - A mercury manometer ( = 13.600 kg/m3) is connected...Ch. 1.11 - Repeat Prob. 165 for a differential mercury height...Ch. 1.11 - The pressure in a natural gas pipeline is measured...Ch. 1.11 - Repeat Prob. 167E by replacing air with oil with a...Ch. 1.11 - Blood pressure is usually measure by wrapping a...Ch. 1.11 - The maximum blood pressure in the upper arm of a...Ch. 1.11 - Consider a U-tube whose arms are open to the...Ch. 1.11 - Consider a double-fluid manometer attached to an...Ch. 1.11 - Calculate the absolute pressure. P1, of the...Ch. 1.11 - Consider the manometer in Fig. 173. If the...Ch. 1.11 - Consider the manometer in Fig. 173. If the...Ch. 1.11 - The hydraulic lift in a car repair shop has an...Ch. 1.11 - Consider the system shown in Fig. 177. If a change...Ch. 1.11 - The gage pressure of the air in the tank shown in...Ch. 1.11 - Repeat Prob. 178 for a gage pressure of 40 kPa.Ch. 1.11 - What is the value of the engineering software...Ch. 1.11 - Determine a positive real root of this equation...Ch. 1.11 - Solve this system of two equations with two...Ch. 1.11 - Solve this system of three equations with three...Ch. 1.11 - Solve this system of three equations with three...Ch. 1.11 - The reactive force developed by a jet engine to...Ch. 1.11 - The reactive force developed by a jet engine to...Ch. 1.11 - A man goes to a traditional market to buy a steak...Ch. 1.11 - What is the weight of a 1-kg substance in N, kN,...Ch. 1.11 - The pressure in a steam boiler is given to be 92...Ch. 1.11 - A hydraulic lift is to be used to lift a 1900-kg...Ch. 1.11 - The average atmosphere pressure on earth is...Ch. 1.11 - Hyperthermia of 5C (i.e., 5C rise above the normal...Ch. 1.11 - The boiling temperature of water decreases by...Ch. 1.11 - A house is losing heat at a rate of 1800 kJ/h per...Ch. 1.11 - The average body temperature of a person rises by...Ch. 1.11 - The average temperature of the atmosphere in the...Ch. 1.11 - A vertical, frictionless pistoncylinder device...Ch. 1.11 - A vertical pistoncylinder device contains a gas at...Ch. 1.11 - The force generated by a spring is given by F =...Ch. 1.11 - An air-conditioning system requires a 35-m-long...Ch. 1.11 - Balloons are often filled with helium gas because...Ch. 1.11 - Reconsider Prob. 1101. Using appropriate software,...Ch. 1.11 - Determine the maximum amount of load, in kg, the...Ch. 1.11 - The lower half of a 6-m-high cylindrical container...Ch. 1.11 - A pressure cooker cooks a lot faster than an...Ch. 1.11 - The pilot of an airplane reads the altitude 6400 m...Ch. 1.11 - A glass tube is attached to a water pipe, as shown...Ch. 1.11 - Consider a U-tube whose arms are open to the...Ch. 1.11 - A water pipe is connected to a double-U manometer...Ch. 1.11 - A gasoline line is connected to a pressure gage...Ch. 1.11 - Repeat Prob. 1110 for a pressure gage reading of...Ch. 1.11 - When measuring small pressure differences with a...Ch. 1.11 - Pressure transducers are commonly used to measure...Ch. 1.11 - Consider the flow of air through a wind turbine...Ch. 1.11 - The drag force exerted on a car by air depends on...Ch. 1.11 - It is well known that cold air feels much colder...Ch. 1.11 - Reconsider Prob. 1116E. Using appropriate...Ch. 1.11 - During a heating process, the temperature of an...Ch. 1.11 - An apple loses 3.6 kJ of heat as it cools per C...Ch. 1.11 - At sea level, the weight of 1 kg mass in SI units...Ch. 1.11 - Consider a fish swimming 5 m below the free...Ch. 1.11 - The atmospheric pressures at the top and the...Ch. 1.11 - Consider a 2.5-m-deep swimming pool. The pressure...
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