Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 7.1, Problem 32P
To determine
The internal normal force, shear force, and moment at points F and H in the floor crane.
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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 7 Solutions
Engineering Mechanics: Statics
Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Assume A is pinned and B is a roller. Prob. F7-6Ch. 7.1 - Assume the support at B is a roller. Point C is...Ch. 7.1 - Determine the shear force and moment at points C...Ch. 7.1 - If the suspended load has a weight of 2 kN and a...Ch. 7.1 - Prob. 4P
Ch. 7.1 - Prob. 5PCh. 7.1 - Determine the distance a as a fraction of the...Ch. 7.1 - Prob. 7PCh. 7.1 - Prob. 8PCh. 7.1 - Take P = 8 kN. Prob. 7-9Ch. 7.1 - Determine the largest vertical load P the frame...Ch. 7.1 - The shaft is supported by a journal bearing at A...Ch. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Prob. 13PCh. 7.1 - Prob. 14PCh. 7.1 - Prob. 15PCh. 7.1 - Prob. 16PCh. 7.1 - Prob. 17PCh. 7.1 - Point E is just to the right of the 3-kip load....Ch. 7.1 - Prob. 19PCh. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Prob. 21PCh. 7.1 - Prob. 22PCh. 7.1 - Prob. 23PCh. 7.1 - Determine the internal normal force, shear force,...Ch. 7.1 - Prob. 25PCh. 7.1 - Determine the ratio of a/b for which the shear...Ch. 7.1 - Prob. 27PCh. 7.1 - Prob. 28PCh. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Determine the normal force, shear force, and...Ch. 7.1 - Prob. 31PCh. 7.1 - Prob. 32PCh. 7.1 - Prob. 33PCh. 7.1 - Prob. 34PCh. 7.1 - Prob. 35PCh. 7.1 - Prob. 36PCh. 7.1 - Prob. 37PCh. 7.1 - Prob. 38PCh. 7.1 - Prob. 39PCh. 7.1 - Prob. 40PCh. 7.1 - Determine the x, y, z components of force and...Ch. 7.1 - z components of force and moment at point C in the...Ch. 7.1 - Prob. 43PCh. 7.1 - Prob. 44PCh. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Determine the shear and moment as a function of x,...Ch. 7.2 - Prob. 45PCh. 7.2 - Draw the shear and moment diagrams for the beam...Ch. 7.2 - Draw the shear and moment diagrams for the beam...Ch. 7.2 - Draw the shear and moment diagrams of the beam (a)...Ch. 7.2 - If L = 9 m, the beam will fail when the maximum...Ch. 7.2 - Draw the shear and moment diagrams for the...Ch. 7.2 - Prob. 51PCh. 7.2 - Prob. 52PCh. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Prob. 54PCh. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Prob. 56PCh. 7.2 - Draw the shear and bending-moment diagrams for...Ch. 7.2 - Draw the shear and moment diagrams for the...Ch. 7.2 - Prob. 59PCh. 7.2 - The shaft is supported by a smooth thrust bearing...Ch. 7.2 - Prob. 61PCh. 7.2 - Prob. 62PCh. 7.2 - Prob. 63PCh. 7.2 - Prob. 64PCh. 7.2 - Prob. 65PCh. 7.2 - Draw the shear and moment diagrams for the beam....Ch. 7.2 - Prob. 67PCh. 7.2 - Prob. 68PCh. 7.2 - Express the internal shear and moment components...Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Prob. 70PCh. 7.3 - Prob. 71PCh. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Prob. 73PCh. 7.3 - Draw the shear and moment diagrams for the...Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Prob. 76PCh. 7.3 - Prob. 77PCh. 7.3 - Draw the shear and moment diagrams for the shaft....Ch. 7.3 - Draw the shear and moment diagrams for the beam....Ch. 7.3 - Prob. 80PCh. 7.3 - Prob. 81PCh. 7.3 - Prob. 82PCh. 7.3 - Prob. 83PCh. 7.3 - Prob. 84PCh. 7.3 - Prob. 85PCh. 7.3 - Prob. 86PCh. 7.3 - Prob. 87PCh. 7.3 - Prob. 88PCh. 7.3 - Prob. 89PCh. 7.3 - Prob. 90PCh. 7.3 - Prob. 91PCh. 7.3 - Prob. 92PCh. 7.3 - Prob. 93PCh. 7.4 - Prob. 94PCh. 7.4 - Prob. 95PCh. 7.4 - Determine the tension in each segment of the cable...Ch. 7.4 - Prob. 97PCh. 7.4 - Prob. 98PCh. 7.4 - Prob. 99PCh. 7.4 - If cylinder E has a mass of 20 kg and each cable...Ch. 7.4 - Prob. 101PCh. 7.4 - Prob. 102PCh. 7.4 - If yB = 1.5 ft. determine the largest weight of...Ch. 7.4 - The cable AB is subjected to a uniform loading of...Ch. 7.4 - Determine the maximum uniform loading w, measured...Ch. 7.4 - The cable is subjected to a uniform loading of w =...Ch. 7.4 - Prob. 107PCh. 7.4 - Prob. 108PCh. 7.4 - If the pipe has a mass per unit length of 1500...Ch. 7.4 - Prob. 110PCh. 7.4 - Prob. 111PCh. 7.4 - Prob. 112PCh. 7.4 - Prob. 113PCh. 7.4 - A telephone line (cable) stretches between two...Ch. 7.4 - Prob. 115PCh. 7.4 - Prob. 116PCh. 7.4 - Prob. 117PCh. 7.4 - A cable has a weight of 5 lb/ft. If it can span...Ch. 7.4 - Prob. 119PCh. 7.4 - The power transmission cable weighs 10 lb/fl. If...Ch. 7.4 - The power transmission cable weighs 10 lb/ft. If h...Ch. 7.4 - Prob. 122PCh. 7.4 - Prob. 123PCh. 7.4 - The man picks up the 52-ft chain and holds it just...Ch. 7.4 - Determine the internal normal force, shear force,...Ch. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - Prob. 127RPCh. 7.4 - Prob. 128RPCh. 7.4 - Prob. 129RPCh. 7.4 - Prob. 130RPCh. 7.4 - Prob. 131RPCh. 7.4 - Prob. 132RPCh. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - Determine the normal force, shear force, and...Ch. 7.4 - Draw the shear and moment diagrams for the beam....Ch. 7.4 - Prob. 137RPCh. 7.4 - Prob. 138RPCh. 7.4 - Prob. 139RP
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