Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 13.1, Problem 1P
A spherical gas tank has an inner radius of r = 1.5 m. If it is subjected to an internal pressure of p = 300 kPa, determine its required thickness if the maximum normal stress is not to exceed 12 MPa.
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A spherical gas tank has an inner radius of r = 1.5 m.
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Chapter 13 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 13.1 - A spherical gas tank has an inner radius of r =...Ch. 13.1 - A pressurized spherical tank is made of...Ch. 13.1 - The thin-walled cylinder can be supported in one...Ch. 13.1 - Prob. 4PCh. 13.1 - Prob. 5PCh. 13.1 - Determine the maximum force P that can be exerted...Ch. 13.1 - Prob. 7PCh. 13.1 - The steel water pipe has an inner diameter of 12...Ch. 13.1 - The steel water pipe has an inner diameter of 12...Ch. 13.1 - The A-36-steel band is 2 in. wide and is secured...
Ch. 13.1 - The gas pipe line is supported every 20 ft by...Ch. 13.1 - Prob. 12PCh. 13.1 - An A-36-steel hoop has an inner diameter of 23.99...Ch. 13.1 - The ring, having the dimensions shown, is placed...Ch. 13.1 - Prob. 15PCh. 13.1 - Prob. 16PCh. 13.1 - Prob. 17PCh. 13.2 - In each case, determine the internal loadings that...Ch. 13.2 - The internal loadings act on the section. Show the...Ch. 13.2 - Determine the normal stress at comers A and B of...Ch. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the magnitude of the load P that will...Ch. 13.2 - Prob. 5FPCh. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the state of stress at point A on the...Ch. 13.2 - Determine the shortest distance d to the edge of...Ch. 13.2 - Determine the maximum distance d to the edge of...Ch. 13.2 - The plate has a thickness of 20 mm and the force P...Ch. 13.2 - If the load has a weight of 600 lb, determine the...Ch. 13.2 - The steel bracket is used to connect the ends of...Ch. 13.2 - Prob. 23PCh. 13.2 - The column is built up by gluing the two boards...Ch. 13.2 - Prob. 25PCh. 13.2 - The screw of the clamp exerts a compressive force...Ch. 13.2 - Prob. 27PCh. 13.2 - Prob. 28PCh. 13.2 - The joint is subjected to the force system shown....Ch. 13.2 - Prob. 30PCh. 13.2 - The 12-in.-diameter holt hook is subjected to the...Ch. 13.2 - Prob. 32PCh. 13.2 - Prob. 33PCh. 13.2 - Prob. 34PCh. 13.2 - Prob. 35PCh. 13.2 - The drill is jammed in the wall and is subjected...Ch. 13.2 - The drill is jammed in the wall and is subjected...Ch. 13.2 - The frame supports the distributed load shown....Ch. 13.2 - Prob. 39PCh. 13.2 - The rod has a diameter of 40 mm. If it is...Ch. 13.2 - The rod has a diameter of 40 mm. If it is...Ch. 13.2 - The beveled gear is subjected to the loads shown....Ch. 13.2 - The beveled gear is subjected to the loads shown....Ch. 13.2 - Determine the normal-stress developed at points A...Ch. 13.2 - Sketch the normal-stress distribution acting over...Ch. 13.2 - Prob. 46PCh. 13.2 - The solid rod is subjected to the loading shown....Ch. 13.2 - Prob. 48PCh. 13.2 - Prob. 49PCh. 13.2 - The C-frame is used in a riveting machine. If the...Ch. 13.2 - Prob. 51PCh. 13.2 - The uniform sign has a weight of 1500 lb and is...Ch. 13.2 - The uniform sign has a weight of 1500 lb and is...Ch. 13 - The post has a circular cross section of radius c....Ch. 13 - The 20-kg drum is suspended from the hook mounted...Ch. 13 - The 20-kg drum is suspended from the hook mounted...Ch. 13 - Prob. 4RPCh. 13 - If the cross section of the femur at section aa...Ch. 13 - Prob. 6RPCh. 13 - Prob. 7RPCh. 13 - Prob. 8RP
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- A pressurized spherical tank is to be made of 12-mm-thick steel. If it is subjected to an internal pressure of p = 1.4 MPa, determine its outer radius if the maximum normal stress is not to exceed 105 MPa.arrow_forwardA cylindrical pressure vessel is fabricated from steel plating that has a thickness of 30 mm. The outer diamter and thickness of the pressure vessel is 500 mm and 10 mm. Its length is 2m. Determine the maximum internal pressure (MPa) that can be applied if the longitudinal stress is limited to 155 MPa, and the circumferencial stress is limited to 55 MPa.arrow_forwardA basketball has a 300-mm outer diameter and a 3-mm wall thickness. Determine the normal stress in the wall when the basketball is inflated to a 120-kPa gage pressure.arrow_forward
- Determine the normal stress in a ball, which has an outside diameter of 185 mm and a wall thickness of 3.1 mm, when the ball is inflated to a gage pressure of 63 kPa. Answer: a = i MPa INarrow_forwardThe storage capacity of a thin cylindrical pressure vessel is 0.028 m³. The cylinder is subjected to an internal pressure of 21 MPa. The length of the cylinder is twice its internal diameter. Determine all the dimensions of the cylinder, if (a) the longitudinal stress does not exceed 160 MPa; and (b) the circumferential stress does not exceed 235 Mpa.arrow_forwardA cylindrical pressure vessel is fabricated from steel plating that has a thickness of 20 mm. The diameter of the pressure vessel is 450 mm and its length is 2.0 m. Determine the maximum internal pressure that can be applied if the longitudinal stress is limited to 140 МРа, and the circumferential stress is limited to 60 МРа. A spherical shell with 70-in. outer diameter and 67-in. inner diameter contains helium at a pressure of 1200 psi. Compute the stress in the shell.arrow_forward
- A thin hollow spherical container has a diameter 1 m and a thickness of 4 mm is subjected to an internal pressure. Determine the internal pressure the tensile stress of the element in the sphere is 500 kPa.arrow_forwardThe propane storage tank shown in Photo has an outer diameter of 3.3 m and a wall thickness of 18 mm. At a time when the inter-nal pressure of the tank is 1.5 MPa, determine the maximum normal stress in the tank.arrow_forwardA thick cylinder of 0.5 m external diameter and 0.4 m internal diameter is subjected simultaneously to internal and external pressures. If the internal pressure is 25 MN/m2 and the hoop stress at the inside of the cylinder is 45 MN/m2 (tensile), determine the intensity of the external pressure,arrow_forward
- A cylindrical tank has an inner radius of 750mm and length of 3.0m. Determine its minimum thickness (to nearest mm) if it is subjected to an internal pressure of 150kPa and tangential stress is not to exceed by 12MPa. Indicate the free body diagramarrow_forwardA thick cylinder of 0.5 m external diameter and 0.4 m internal diameter is subjected simultaneously to internal and external pressures. If the internal pressure is 25 MPa and the hoop stress at the inside of the cylinder is 45 MPa (tensile), determine the intensity of the external pressure.arrow_forwardThe cylindrical tank with a spherical end cap has an outer radius of 2 m and a wall thickness of 50 mm. If the tank is pressurized to 3.5 MPa, determine the longitudinal and circumferential stresses in the cylinder, and the stress in the end cap. (Show free body diagram and complete solution)arrow_forward
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