STANDALONE CODE MECHANICS OF MATERIALS-M
11th Edition
ISBN: 9780137605200
Author: HIBBELER
Publisher: PEARSON
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Chapter 8.1, Problem 5P
To determine
Minimum thickness of cylindrical and hemispherical shells.
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The gas storage tank is fabricated by bolting together two half cylindrical thin shells and two hemispherical shells as shown. If the tank is designed to withstand a pressure of 3 MPa, determine the required minimum thickness of the cylinder and hemispherical shells and the minimum required number of bolts for each hemispherical cap. The tank and the 25 mm diameter bolts are made from material having an allowable normal stress of 150 MPa and 250 MPa, respectively. The tank has an inner diameter of 4 m.
The gas storage tank is fabricated by bolting together two half cylindrical thin
shells and two hemispherical shells as shown. If the tank wall has a thickness
of 50 mm for cylindrical and hemispherical shells, The bolts were installed as
40 bolts/meter. The tank and the 25 mm diameter bolts are made from
material having an allowable normal stress of 150 MPa and 250 MPa,
respectively. The tank has an inner diameter of 4 m. What is the maximum
pressure that tank can contain.
Determine the minimum required number of
longitudinal bolts per meter length at each side of
the cylindrical shell.
Express your answer as an integer.
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Chapter 8 Solutions
STANDALONE CODE MECHANICS OF MATERIALS-M
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. 5PCh. 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. 8.2 - 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 - The plate has a thickness of 20 mm and P acts...Ch. 8.2 - Plot the distribution of normal stress acting...Ch. 8.2 - Also, plot the normal-stress distribution over the...Ch. 8.2 - Determine the stress components at point A on the...Ch. 8.2 - Determine the stress components at point B on the...Ch. 8.2 - If it is subjected to the force system shown,...Ch. 8.2 - Neglect the weight of the block.Ch. 8.2 - Neglect the weight of the block.Ch. 8.2 - He is supported uniformly by two bars, each having...Ch. 8.2 - Specify the region to which this load can be...Ch. 8.2 - The pins at C and D are at the same location as...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 - 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 - The suspender arm AE has a square cross-sectional...Ch. 8 - If the cross section of the femur at section aa...Ch. 8 - If it has a mass of 5 kg/m, determine the largest...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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- A 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_forwardThe spherical gas tank is fabricated by bolting together two hemispherical thin shells. If the 8-m inner diameter tank is to be designed to withstand a gauge pressure of 2 MPa, determine the minimum wall thickness of the tank and the minimum number of 25-mm diameter bolts that must be used to seal it. The tank and the bolts are made from material having an allowable normal stress of 150 MPa and 250 MPa, respectively.arrow_forwardThe spherical gas tank is fabricated by bolting together two hemispherical thin shells of thickness 30 mm. The gas contained in the tank is under a gauge pressure of 2.5 MPa. If the tank has an inner diameter of 8 m and is sealed with 900 bolts each 20 mm in diameter, determine the stress developed in each bolt.arrow_forward
- A 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 MPa, and the circumferential stress is limited to 60 MPa.arrow_forwardrespectively. The tank has an inner diameter of 4 m. The thickness of the cylindrical are made from material having an allowable normal stress of 150 MPa and 250 MPa, shells and two hemispherical shells as shown. The tank and the 25 mm diameter bolts The gas storage tank is fabricated by bolting together two half cylindrical thin 1. and hemispherical shells is 40 mm and 30 mm, respectively. Determine 1) the maximum internal pressure it can sustain. 2) the minimum required number of bolts for each hemispherical cap.arrow_forwardThe spherical gas tank is fabricated by bolting together two hemispherical thin shells of thickness 30 mm. The gas contained in the tank is under a gauge pressure of 2.5 MPa. If the tank has an inner diameter of 8 m and is sealed with 900 bolts each 20 mm in diameter, determine the normal stress developed in the wall of the tank.arrow_forward
- A cylindrical propane tank has an outside diameter of 3.25 m. If the allowable hoop stress is 100 MPa and the allowable axial or longitudinal stress is 45 MPa, determine the minimum thickness of the pipe when the internal pressure that can be applied to the tank is 1.25 MPa.arrow_forwardThe 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_forwardA boiler with an outside diameter of 300 mm, length of 1000 mm and a wall thickness of 10 mm is carrying steam at 4.5 MPa. A seal is inserted between the flange at one end of the boiler and a flat plate is used to cap the end. Determine the following: How many 40-mm-diameter bolts must be used to hold the cap on if the allowable stress 3.1 in the bolts is 80 MPa, of which 50 MPa is the initial stress? 3.2 What circumferential stress is developed in the boiler? 3.arrow_forward
- A cylindrical pressure vessel has an inner diameter of 4 ft and a thicknessof 1 2 in. Determine the maximum internal pressure it can sustain so that neither its circumferential nor its longitudinal stress component exceeds 20 ksi. Under the same conditions, what is the maximum internal pressure that a similar-size spherical vessel can sustain?arrow_forwardA closed cylindrical tank containing a pressurized fluid has an inside diameter of 320 mm and a wall thickness of 10 mm. The tank is pressurized to 2.40 MPa. Determine the hoop stress in the wall of the tank.arrow_forwardAir 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.arrow_forward
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