Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 5.5, Problem 49P
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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
Statics and Mechanics of Materials (5th Edition)
Ch. 5.3 - In each ease, calculate the support reactions and...Ch. 5.3 - Identify the zero-force members in each truss....Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the greatest load P that can be applied...Ch. 5.3 - Identify the zero-force members in the truss....Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...
Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss,...Ch. 5.3 - Determine the force in each member of the truss,...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss in...Ch. 5.3 - Members AB and BC can each support a maximum...Ch. 5.3 - Members AB and BC can each support a maximum...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - If the maximum force that any member can support...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.3 - Determine the force in each member of the truss...Ch. 5.4 - Determine the force in members BC, CF, and FE and...Ch. 5.4 - Determine the force in members LK, KC, and CD of...Ch. 5.4 - Determine the force in members KJ, KD, and CD of...Ch. 5.4 - Determine the force in members EF, CF, and BC of...Ch. 5.4 - Determine the force in members GF, GD, and CD of...Ch. 5.4 - Determine the force in members DC, HI, and JI of...Ch. 5.4 - Determine the force in members DC, HC and HI of...Ch. 5.4 - Determine the force in members ED, EH, and GH of...Ch. 5.4 - Determine the force in members HG, HE, and DE of...Ch. 5.4 - Determine the force in members CD, HI, and CH of...Ch. 5.4 - Determine the force in members CD, CJ, KJ, and DJ...Ch. 5.4 - Prob. 22PCh. 5.4 - The Howe truss is subjected to the loading shown....Ch. 5.4 - The Howe truss is subjected to the loading shown....Ch. 5.4 - Determine the force in members EF, CF, and BC, and...Ch. 5.4 - Determine the force in members AF, BF, and BC, and...Ch. 5.4 - Prob. 27PCh. 5.4 - Determine the force in members BC, BE, and EF of...Ch. 5.4 - Prob. 29PCh. 5.4 - Determine the force in members CD, CF, and CG and...Ch. 5.4 - Determine the force developed in members FE, EB,...Ch. 5.5 - In each ease, identify any two-force members, and...Ch. 5.5 - F5-13. Determine the force P needed to hold the...Ch. 5.5 - Determine the horizontal and vertical components...Ch. 5.5 - If a 100-N force is applied to the handles of the...Ch. 5.5 - Determine the horizontal and vertical components...Ch. 5.5 - Determine the force P required to hold the 100-lb...Ch. 5.5 - In each case, determine the force P required to...Ch. 5.5 - Determine the force P required to hold the 50-kg...Ch. 5.5 - Determine the force P required to hold the 150-kg...Ch. 5.5 - Determine the reactions at the supports A, C, and...Ch. 5.5 - Determine the resultant force at pins A, B, and C...Ch. 5.5 - Determine the reactions at the supports at A, E,...Ch. 5.5 - The wall crane supports a load of 700 lb....Ch. 5.5 - The wall crane supports a load of 700 lb....Ch. 5.5 - Determine the horizontal and vertical components...Ch. 5.5 - Determine the force in members FD and DB of the...Ch. 5.5 - Determine the force that the smooth 20-kg cylinder...Ch. 5.5 - The three power lines exert the forces shown on...Ch. 5.5 - The pumping unit is used to recover oil. When the...Ch. 5.5 - Determine the force that the jaws J of the metal...Ch. 5.5 - Prob. 47PCh. 5.5 - Prob. 48PCh. 5.5 - Prob. 49PCh. 5.5 - Determine the force created in the hydraulic...Ch. 5.5 - The hydraulic crane is used to lift the 1400-lb...Ch. 5.5 - Determine force P on the cable if the spring is...Ch. 5.5 - Prob. 53PCh. 5.5 - Prob. 54PCh. 5.5 - Prob. 55PCh. 5.5 - Determine the force P on the cable if the spring...Ch. 5.5 - Prob. 57PCh. 5.5 - Prob. 58PCh. 5.5 - Prob. 59PCh. 5.5 - Prob. 60PCh. 5.5 - The platform scale consists of a combination of...Ch. 5 - All the problems solutions must include FBDs....Ch. 5 - Determine the force in each member of the truss...Ch. 5 - Determine the force in member GJ and GC of the...Ch. 5 - Determine the force in members GF, FB, and BC of...Ch. 5 - Prob. 5RPCh. 5 - Determine the horizontal and vertical components...Ch. 5 - Prob. 7RPCh. 5 - Determine the resultant forces at pins B and C on...
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- يكا - put 96** I need a detailed drawing with explanation or in wake, and the top edge of im below the free surface of the water. Determine the hydrothed if hydrostatic on the Plot the displacement diagram for a cam with roller follower of diameter 10 mm. The required motion is as follows; 1- Rising 60 mm in 135° with uniform acceleration and retardation motion. 2- Dwell 90° 3- Falling 60 mm for 135° with Uniform acceleration-retardation motion. Then design the cam profile to give the above displacement diagram if the minimum circle diameter of the cam is 50 mm. =--20125 7357 750 X 2.01arrow_forwardYou 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 U y = +h У 2h = 1 cm 1 x1 y=-h u(y) = 1 dP 2μ dx -y² + Ay + B moving plate - U stationary plate 2 I2 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: A = U 2h U 1 dP…arrow_forwardQuestion 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) normal shock 472 m/s A B (b) intake engine altitude: 14,000 m D exhaust nozzle→ exit to atmosphere 472 m/s 50 m/s B diameter: DE = 0.30 m EX diameter: DF = 0.66 m Figure Q2: Propulsion system for a supersonic aircraft. F 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 of…arrow_forward
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