Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 5, Problem 5.43SP
Calculate the pin reactions at each of the pins in the frame shown.
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You are working as an engineer in a bearing systems design company. The flow of
lubricant inside a hydrodynamic bearing (p = 0.001 kg m-1 s-1) can be approximated
as a parallel, steady, two-dimensional, incompressible flow between two parallel plates.
The top plate, representing the moving part of the bearing, travels at a constant speed,
U, while the bottom plate remains stationary (Figure Q1). The plates are separated by
a distance of 2h = 1 cm and are W = 20 cm wide. Their length is L = 10 cm. By
applying the above approximations to the Navier-Stokes equations and assuming that
end effects can be neglected, the horizontal velocity profile can be shown to be
y = +h
I
2h = 1 cm
x1
y = -h
u(y)
1 dP
2μ dx
-y² + Ay + B
moving plate
stationary plate
U
2
I2
L = 10 cm
Figure Q1: Flow in a hydrodynamic bearing. The plates extend a width, W = 20 cm,
into the page.
Question 1
You are working as an engineer in a bearing systems design company. The flow of
lubricant inside a hydrodynamic bearing (µ = 0.001 kg m¯¹ s¯¹) can be approximated
as a parallel, steady, two-dimensional, incompressible flow between two parallel plates.
The top plate, representing the moving part of the bearing, travels at a constant speed,
U, while the bottom plate remains stationary (Figure Q1). The plates are separated by
a distance of 2h = 1 cm and are W = 20 cm wide. Their length is L = 10 cm. By
applying the above approximations to the Navier-Stokes equations and assuming that
end effects can be neglected, the horizontal velocity profile can be shown to be
1 dP
u(y)
=
2μ dx
-y² + Ay + B
y= +h
Ꮖ
2h=1 cm
1
x1
y = −h
moving plate
stationary plate
2
X2
L = 10 cm
Figure Q1: Flow in a hydrodynamic bearing. The plates extend a width, W = 20 cm,
into the page.
(a) By considering the appropriate boundary conditions, show that the constants take
the following forms:
U
U
1 dP
A =…
Question 2
You are an engineer working in the propulsion team for a supersonic civil transport
aircraft driven by a turbojet engine, where you have oversight of the design for the
engine intake and the exhaust nozzle, indicated in Figure Q2a. The turbojet engine can
operate when provided with air flow in the Mach number range, 0.60 to 0.80. You are
asked to analyse a condition where the aircraft is flying at 472 m/s at an altitude of
14,000 m. For all parts of the question, you can assume that the flow path of air through
the engine has a circular cross section.
(a)
← intake
normal
shock
472 m/s
A B
(b)
50 m/s
H
472 m/s
B
engine
altitude: 14,000 m
exhaust nozzle
E
F
exit to
atmosphere
diameter: DE = 0.30 m
E
F
diameter: DF = 0.66 m
Figure Q2: Propulsion system for a supersonic aircraft.
a) When the aircraft is at an altitude of 14,000 m, use the International Standard
Atmosphere in the Module Data Book to state the local air pressure and tempera-
ture. Thus show that the aircraft speed…
Chapter 5 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 5 - through 5.7 Calculate the forces in all members of...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Determine the forces in members CD, DH, and HI for...Ch. 5 - Determine the forces in members BC, BE, and FE for...Ch. 5 - Determine the forces in members BC, CH, and CG in...
Ch. 5 - For the Howe roof truss shown, determine the...Ch. 5 - Determine the forces in members DE, CE, and BC in...Ch. 5 - Calculate the forces in members BC, BG, and FG for...Ch. 5 - Determine the forces in members CD, BD, BE, and CB...Ch. 5 - A pin-connected A-frame supports a load, as shown....Ch. 5 - Determine the pin reactions at pins A, B, and C in...Ch. 5 - Calculate the pin reactions at each of the pins in...Ch. 5 - A bracket is pin connected at points A, B, and D...Ch. 5 - A pin-connected frame is loaded, as shown....Ch. 5 - The cylinder shown has a mass of 500 kg. Determine...Ch. 5 - A simple frame is pin connected at points A, B,...Ch. 5 - Using the method of sections, determine the forces...Ch. 5 - Using the method of sections, determine the forces...Ch. 5 - through 5.31 Calculate the forces in all members...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - Calculate the forces in all members of the trusses...Ch. 5 - For Problems 5.32 through 5.38, calculate the...Ch. 5 - For Problem 5.32 through 5.38, Calculate the...Ch. 5 - For Problems 5.32 through 5.38, calculate the...Ch. 5 - For Problems 5.32 through 5.38, calculate the...Ch. 5 - For Problem 5.32 through 5.38 , Calculate the...Ch. 5 - For Problems 5.32 through 5.38, calculate the...Ch. 5 - For Problems 5.32 through 5.38, calculate the...Ch. 5 - A pin-connected crane framework is loaded and...Ch. 5 - Calculate the pin reactions at pins A, B, and D in...Ch. 5 - Determine the pin reactions at pins A, B, and C in...Ch. 5 - The wall bracket shown is pin-connected at points...Ch. 5 - Calculate the pin reactions at each of the pins in...Ch. 5 - The A-frame shown is pin-connected at A,B,C, and...Ch. 5 - The tongs shown are used to grip an object. For an...Ch. 5 - A toggle joint is a mechanism by which a...Ch. 5 - In the toggle joint of Problem 5.46 , assume that...Ch. 5 -
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