MECHANICS OF MATERIALS-TEXT
9th Edition
ISBN: 2810014920922
Author: HIBBELER
Publisher: PEARSON
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Chapter 8.2, Problem 8.33P
To determine
The state of stress at points A and B.
The shear stress at point A and B.
To sketch: The differential element located at point A and B.
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Students have asked these similar questions
A counter flow double pipe heat exchanger is being used to cool hot oil from 320°F to 285°F
using cold water. The water, which flows through the inner tube, enters the heat exchanger at 70°F
and leaves at 175°F. The inner tube is ¾-std type L copper. The overall heat transfer coefficient
based on the outside diameter of the inner tube is 140 Btu/hr-ft2-°F. Design conditions call for a
total heat transfer duty (heat transfer rate between the two fluids) of 20,000 Btu/hr. Determine the
required length of this heat exchanger (ft).
!
Required information
A one-shell-pass and eight-tube-passes heat exchanger is used to heat glycerin (cp=0.60 Btu/lbm.°F) from 80°F to 140°F
by hot water (Cp = 1.0 Btu/lbm-°F) that enters the thin-walled 0.5-in-diameter tubes at 175°F and leaves at 120°F. The total
length of the tubes in the heat exchanger is 400 ft. The convection heat transfer coefficient is 4 Btu/h-ft²°F on the glycerin
(shell) side and 70 Btu/h-ft²°F on the water (tube) side.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
Determine the rate of heat transfer in the heat exchanger before any fouling occurs.
Correction factor F
1.0
10
0.9
0.8
R=4.0 3.0 2.0.15 1.0 0.8.0.6 0.4 0.2
0.7
0.6
R=
T1-T2
12-11
0.5
12-11
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
(a) One-shell pass and 2, 4, 6, etc. (any multiple of 2), tube passes
P=
T₁-11
The rate of heat transfer in the heat exchanger is
Btu/h.
!
Required information
Air at 25°C (cp=1006 J/kg.K) is to be heated to 58°C by hot oil at 80°C (cp = 2150 J/kg.K) in a cross-flow heat exchanger
with air mixed and oil unmixed. The product of heat transfer surface area and the overall heat transfer coefficient is 750
W/K and the mass flow rate of air is twice that of oil.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
Air
Oil
80°C
Determine the effectiveness of the heat exchanger.
Chapter 8 Solutions
MECHANICS OF MATERIALS-TEXT
Ch. 8.1 - If it is subjected to an internal pressure of p =...Ch. 8.1 - If it is subjected to an internal pressure of p =...Ch. 8.1 - The thin-walled cylinder can be supported in one...Ch. 8.1 - If the inner diameter of the tank is 22 in., and...Ch. 8.1 - Prob. 8.5PCh. 8.1 - 8–6. If the flow of water within the pipe in Prob....Ch. 8.1 - A boiler is constructed of 8-mm-thick steel plates...Ch. 8.1 - 88. The steel water pipe has an inner diameter of...Ch. 8.1 - The steel water pipe has an inner diameter of 12...Ch. 8.1 - The A-36-steel band is 2 in. wide and is secured...
Ch. 8.1 - Two hemispheres having an inner radius of 2 ft and...Ch. 8.1 - A pressure-vessel head is fabricated by welding...Ch. 8.1 - An A-36-steel hoop has an inner diameter of 23.99...Ch. 8.1 - The ring, having the dimensions shown, is placed...Ch. 8.1 - The inner ring A has an inner radius r1 and outer...Ch. 8.1 - *8–16. A closed-ended pressure vessel is...Ch. 8.1 - In order to increase the strength of the pressure...Ch. 8.2 - Show the results on the left segment.Ch. 8.2 - Show the stress that each of these loads produce...Ch. 8.2 - Fundamental Problems F81. Determine the normal...Ch. 8.2 - Show the results in a differential element at the...Ch. 8.2 - Determine the state of stress at point A on the...Ch. 8.2 - Determine the magnitude of the load P that will...Ch. 8.2 - Determine the state of stress at point B. Show the...Ch. 8.2 - Determine the state of stress at point A on the...Ch. 8.2 - Determine the state of stress at point A on the...Ch. 8.2 - Show the results in a differential element at the...Ch. 8.2 - Determine the shortest distance d to the edge of...Ch. 8.2 - 8–19. Determine the maximum and minimum normal...Ch. 8.2 - *8–20. Determine the maximum and minimum normal...Ch. 8.2 - Also, plot the normal-stress distribution over the...Ch. 8.2 - 8–22. The clamp is made from members AB and AC,...Ch. 8.2 - 8–23. The clamp is made from members AB and AC,...Ch. 8.2 - Prob. 8.24PCh. 8.2 - 8–25. The bearing pin supports the load of 700 lb....Ch. 8.2 - Determine the maximum normal stress on the cross...Ch. 8.2 - If the wood has an allowable normal stress of...Ch. 8.2 - *8–28. The cylindrical post, having a diameter of...Ch. 8.2 - 8–29. Determine the maximum load P that can be...Ch. 8.2 - If the force of 100 N is applied to the handles,...Ch. 8.2 - 8–31. Determine the smallest distance d to the...Ch. 8.2 - *8–32. The horizontal force of P = 80 kN acts at...Ch. 8.2 - 8–33. The control lever is subjected to a...Ch. 8.2 - 8–34. The control lever is subjected to a...Ch. 8.2 - 8–35. The tubular shaft of the soil auger is...Ch. 8.2 - Determine the state of stress at point A on the...Ch. 8.2 - Determine the state of stress at point B on the...Ch. 8.2 - Determine the state of stress acting at point D....Ch. 8.2 - Determine the state of stress acting at point E....Ch. 8.2 - Prob. 8.40PCh. 8.2 - Prob. 8.41PCh. 8.2 - 8–42. Determine the state of stress at point A on...Ch. 8.2 - 8–43. Determine the state of stress at point B on...Ch. 8.2 - Neglect the weight of the block.Ch. 8.2 - Neglect the weight of the block.Ch. 8.2 - Prob. 8.46PCh. 8.2 - Prob. 8.47PCh. 8.2 - Prob. 8.48PCh. 8.2 - Prob. 8.49PCh. 8.2 - The coiled spring is subjected to a force P. If we...Ch. 8.2 - Specify the region to which this load can be...Ch. 8.2 - Determine the smallest force P that can be applied...Ch. 8.2 - 8–53. The 1-in.-diameter rod is subjected to the...Ch. 8.2 - 8–54. The 1-in.-diameter rod is subjected to the...Ch. 8.2 - 8–55. Determine the state of stress at point A on...Ch. 8.2 - *8–56. Determine the state of stress at point B on...Ch. 8.2 - Determine the stress components at points A and B...Ch. 8.2 - Determine the stress components at points C and D...Ch. 8.2 - 8–59. If P = 60 kN, determine the maximum normal...Ch. 8.2 - *8–60. Determine the maximum allowable force P, if...Ch. 8.2 - If the force at the ram on the clamp at D is P= 8...Ch. 8.2 - Determine the maximum ram force P that can be...Ch. 8.2 - and an outer radius of 3.00 in. If the face of the...Ch. 8.2 - for points E and F.Ch. 8.2 - 8–65. Determine the state of stress at point A on...Ch. 8.2 - 8–66. Determine the state of stress at point B on...Ch. 8.2 - 8–67. The metal link is subjected to the axial...Ch. 8.2 - *8–68. The bar has a diameter of 40 mm. If it is...Ch. 8.2 - 8–69. Solve Prob. 8-68 for point B.
Ch. 8.2 - Determine the stress components at point A. Sketch...Ch. 8.2 - for the stress components at point B.Ch. 8.2 - Determine the state of stress at point A at...Ch. 8.2 - Determine the state of stress at point B at...Ch. 8 - If it supports a cable loading of 800 lb,...Ch. 8 - Determine the state of stress at point E on the...Ch. 8 - Determine the state of stress at point F on the...Ch. 8 - If it has a mass of 5 kg/m, determine the largest...Ch. 8 - 8–78. Solve Prob. 8–77 if the bar has a circular...Ch. 8 - The suspender arm AE has a square cross-sectional...Ch. 8 - Prob. 8.80RPCh. 8 - 8–81. The hydraulic cylinder has an inner diameter...Ch. 8 - If the cross section of the femur at section aa...Ch. 8 - 8-83. Air pressure in the cylinder is increased by...Ch. 8 - *8-84. Determine the maximum force P that can be...Ch. 8 - and is used to support the vertical reactions of...Ch. 8 - and is used to support the vertical reactions of...
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