Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382869
Author: HIBBELER
Publisher: PEARSON
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Chapter 13.1, Problem 5P
To determine
Find the state of stress in the wall of the cylinder.
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Air is pumped into the steel thin-walled pressure vessel at C. If the ends of the vessel are closed using two pistons connected by a rod AB, determine the increase in the diameter of the pressure vessel when the internal gage pressure is 5 MPa. Also, what is the tensile stress in rod AB if it has a diameter of 100 mm? The inner radius of the vessel is 400 mm, and its thickness is 10 mm. Est = 200 GPa and nst = 0.3.
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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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- The 2-Mg concrete pipe has a center of mass at point G. If it is suspended from cables AB and AC, determine the average normal stress in the cables. The diameters of AB and AC are 12 mm and 10 mm, respectively.arrow_forwardDetermine the maximum force P that can be exerted on each of the two pistons so that the circumferential stress in the cylinder does not exceed 3 MPa. Each piston has a radius of 45 mm and the cylinder has a wall thickness of 2 mm.arrow_forwardThe steel pipe is filled with concrete and subjected to a compressive force of 75 kN. Determine the average normal stress in the concrete due to this loading. The pipe has an outer diameter of 60 mm and an inner diameter of 50 mm. E_s=200 GPa, E_c=24 GPaarrow_forward
- The tank of the air compressor is subjected to an internal pressure of 90 psi. If the inner diameter of the tank is 22 in., and the wall thickness is 0.25 in., determine the stress components acting at point A. Draw a volume element of the material at this point, and show the results on the element.arrow_forwardIf the allowable tensile stress for wires AB and AC is sallow = 180 MPa, and wire AB has a diameter of 5 mm and AC has a diameter of 6 mm, determine the greatest force P that can be applied to the chain.arrow_forwardThe steel pipe has an inner diameter of 2.75 in. and an outer diameter of 3 in. If it is fixed at C and subjected to the horizontal 20-lb force acting on the handle of the pipe wrench, determine the principal stresses in the pipe at point B, which is located on the surface of the pipe.arrow_forward
- The cylindrical tank with a spherical endcap has an outer radius of 2 m and a wall thickness of 25 mm. If the tank is pressurized to 1.5 MPa, determine the longitudinal and circumferential stresses in the cylinder, and the stress in the endcap.arrow_forwardThe 10-mm-diameter steel bolt is surrounded by a bronze sleeve. The outer diameter of this sleeve is 20 mm, and its inner diameter is 10 mm. If the bolt is subjected to a compressive force of P = 20 kN, determine the average normal stress in the steel and the bronze. Est = 200 GPa, Ebr = 100 GPa.arrow_forwardAir pressure in the cylinder is increased by exerting forces P = 3 kN on the two pistons, each having a radius of 45 mm. The cylinder is shown in the figure below. If the cylinder has a wall thickness of 2 Mm, determine the circumferential stress in the wall of the cylinder. Express your answer to three significant figures and include appropriate units.arrow_forward
- The plate has a width of 0.5 m. If the stress distribution at the support varies as shown, determine the force P applied to the plate and the distance d to where it is applied.arrow_forwardThe steel pipe is filled with concrete and subjected to a compressive force of 80 kN. Determine the average normal stress in the concrete and the steel due to this loading. The pipe has an outer diameter of 80 mm and an inner diameter of 70 mm. E 200 GPa, Ec= 24 GPa.arrow_forwardDetermine the stress in the cable BC if the mass of the cylinder is 250 kg. The cross sectional area of BC is 100 sq. mm.arrow_forward
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