Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 8.2, Problem 8.26P
Determine the maximum normal stress on the cross section when the eccentric force of P = 50 kN is applied.
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Q4/ A compressor is driven motor by mean of a flat belt of thickness 10 mm and a width of
250 mm. The motor pulley is 300 mm diameter and run at 900 rpm and the compressor
pulley is 1500 mm diameter. The shaft center distance is 1.5 m. The angle of contact of
the smaller pulley is 220° and on the larger pulley is 270°. The coefficient of friction
between the belt and the small pulley is 0.3, and between the belt and the large pulley is
0.25. The maximum allowable belt stress is 2 MPa and the belt density is 970 kg/m³.
(a) What is the power capacity of the drive and (b) If the small pulley replaced by
V-grooved pulley of diameter 300 mm, grooved angle of 34° and the coefficient of
friction between belt and grooved pulley is 0.35. What will be the power capacity in this
case, assuming that the diameter of the large pulley remain the same of 1500 mm.
You are tasked with designing a power drive system to transmit power between a motor and a conveyor belt in a manufacturing facility as illustrated in figure.
The design must ensure efficient power transmission, reliability, and safety. Given the following specifications and constraints, design drive system for this application:
Specifications:
Motor Power: The electric motor provides 10 kW of power at 1,500 RPM.
Output Speed: The output shaft should rotate at 150 rpm.
Design Decisions:
Transmission ratio: Determine the necessary drive ratio for the system.
Shaft Diameter: Design the shafts for both the motor and the conveyor end.
Material Selection: Choose appropriate materials for the gears, shafts.
Bearings: Select suitable rolling element bearings.
Constraints:
Space Limitation:
The available space for the gear drive system is limited to a 1-meter-long section.
Attribute 4 of CEP
Depth of knowledge required
Fundamentals-based, first principles analytical approach…
Chapter 8 Solutions
Mechanics of Materials
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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