MECHANICS OF MATERIALS-TEXT
9th Edition
ISBN: 2810014920922
Author: HIBBELER
Publisher: PEARSON
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Textbook Question
Chapter 8.2, Problem 8.58P
Determine the stress components at points C and D on the 100-mm-dianneter supporting post. Show the results on a volume element located at each of these points.
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During some actual expansion and compression processes in piston–cylinder devices, the gases have been observed to satisfy the relationship PVn = C, where n and C are constants. Calculate the work done when a gas expands from 350 kPa and 0.03 m3 to a final volume of 0.2 m3 for the case of n = 1.5.
The work done in this case is kJ.
Carbon dioxide contained in a piston–cylinder device is compressed from 0.3 to 0.1 m3. During the process, the pressure and volume are related by P = aV–2, where a = 6 kPa·m6. Calculate the work done on carbon dioxide during this process.
The work done on carbon dioxide during this process is kJ.
The volume of 1 kg of helium in a piston–cylinder device is initially 5 m3. Now helium is compressed to 3 m3 while its pressure is maintained constant at 130 kPa. Determine the initial and final temperatures of helium as well as the work required to compress it, in kJ. The gas constant of helium is R = 2.0769 kJ/kg·K.
The initial temperature of helium is K.
The final temperature of helium is K.
The work required to compress helium is kJ.
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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