Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 20, Problem 20.15SP
Calculate the circumferential and longitudinal tensile stresses developed in the walls of a cylindrical steel plate boiler. The diameter of the boiler is
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Calculate the stress in the circumferential section of boiler steam drum 2.15 m in diameter and 45 mm thick, when the working pressure is 30 x 105 Pa
The tank shown in the
figure shown is fabricated from a
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c. Determine the minimum thickness
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1400
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400
mm
600 mm
Define the main difference between thick and thin cylinders and give an example for
each type of cylinder
Derive the expression of longitudinal stress, o, for a closed thick cylinder which has
inner radius, R₁ and outer radius, R₂ and subjected to internal pressure only.
Figure Q3 shows a cross section of composite cylinder that is made by shrinking a
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external diameter and 50 mm thick. The radial pressure at the common surface, after
shrinking is 180 MPa. Suppose the compound cylinder is subjected to an internal fluid
pressure of 1200 MPa, determine;
i)
the hoop stresses at inner radius and outer radius of inner cylinder,
ii)
the hoop stresses at inner radius and outer radius of outer cylinder.
Ro
P
Figure Q3
R₁
Chapter 20 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 20 - Prob. 20.1PCh. 20 - Calculate the tensile stresses developed...Ch. 20 - Calculate the internal water pressure that will...Ch. 20 - Calculate the wall thickness required for a 1.25...Ch. 20 - A spherical gas container, 52 ft in diameter, is...Ch. 20 - Calculate the tensile stresses (circumferential...Ch. 20 - 20.7 A gas is to be stored in a spherical steel...Ch. 20 - 20.8 The longitudinal joint in an -ft-diameter...Ch. 20 - A spherical steel tank, 15 m in diameter, is to...Ch. 20 - 20.10 A closed cylindrical tank for an air...
Ch. 20 - Prob. 20.11PCh. 20 - For the following computer problems, any...Ch. 20 - For the following computer problems, any...Ch. 20 - Calculate the circumferential and longitudinal...Ch. 20 - 20.16 A welded aluminum alloy cylindrical pressure...Ch. 20 - Prob. 20.17SPCh. 20 - 20.18 A spherical tank is to hold of gas at a...Ch. 20 - 20.19 A closed cylindrical air-compressor tank is ...Ch. 20 - 20.20 A cast-iron pipe, ft in diameter, is...Ch. 20 - 20.21 A steel pipe located in a hydroelectric...Ch. 20 - 20.22 Calculate the tensile stresses...Ch. 20 - 20.23 A -ft-diameter steel pipe is made...Ch. 20 - 20.24 Rework Problem, changing the joint...Ch. 20 - 20.25 A piece of -in-diameter pipe of -in, wall...Ch. 20 - 20.26 A vertical cylindrical steel tank, open at...
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- The pressure tank shown is fabricated from 1/8-in steelplate. Calculate the allowable internal pressure if thecircumferential and longitudinal stresses are limited to20 ksi and 10 ksi, respectively.Answer: p= ___________________arrow_forwardDESIGN Situation No. 1 – A pressure vessel 360 mm in diameter it to be fabricated from steel plates. The vessel is to carry an internal pressure of 6 MPa. 1. What is the required thickness of the plate if the vessel is to be cylindrical and the allowable steel stress is 120 MPa. 2. What is the required thickness of the plate if the vessel is to be spherical and the allowable steel stress is 120 MPa. 3. If the vessel to be fabricated is cylindrical using 12 mm thick steel plate, what is the maximum internal pressure that the vessel can carry if the allowable steel stress is 60 MPa.arrow_forwardFor the thin-walled pressure vessel subjected to an internal pressure of 150 psi and as shown below, calculate the longitudinal and transverse stresses. Assume length as L ft and wall thickness as in. 8 2 ft 2.5 ftarrow_forward
- A cylindrical tank steel pressure vessel 200mm in radius and 4.0m in length, is subjected to an internal pressure of 3.0 MPa. Determine the thickness of tank (nearest mm) if the following stresses are not to be exceeded: tangential stress of 45 MPa and longitudinal stress of 30 MPa. and also show the free body diagramarrow_forwardA cylindrical steel pressure vessel 400 mm in diameter with a wallthickness of 20 mm, is subjected to an internal pressure of 7.875 MPa.Calculate the tangential stress in the steel.arrow_forwardA 28mm diameter round steel bar is 0.4m long. It is placed concentrically within a brass tube which has an outside diameter of 40mm and an inside diameter of 30mm. The length of the brass tube exceeds that of the round steel bar by 0.12mm. Rigid plates are placed on the ends of the tube through which an axial compressive force is applied to the compound bar. Determine the compressive stresses in the bar and tube due to force of 60 kN. Use 200 GPa for modulus of elasticity of steel and 90 GPa for modulus of elasticity of brass.arrow_forward
- Topic: MACHINE DESIGN A submersible cylinder used in research has a cylindrical pressure hull of outside diameter 3.0 m and a wall thickness of 150 mm. It is constructed of an aluminum alloy, having a yield point of 450 MPa. Determine the tangential stress, in terms of MPa, in the cylindrical portion of the pressure hull whenthe vehicle is at its operating depth of 5500 m below the surface of the sea. Consider sea water to have a specific weight of 104 N/m3arrow_forwardA compound cylinder is made by shrinking a jacket with an outer diameter of 200 mm on a hollow cylinder with diameter of 100 mm and 150 mm. When the compound cylinder is subjected to an internal pressure of 35MNm-2, the maximum circumferential stress in both cylinders is the same. Calculate the maximum stress developed at the internal diameter of the jacket.arrow_forwardA steel bolt 8mm diameter fits loosely inside aluminium tube 8mm diameter and 16 mm outside diameter .A nut is fitted onto the bolt and tightened against the tube until the stress in the bolt is 40N/mm^2.calculate the stress in the bolt.If the temperature is now increased by 100 degree celcius .What will be the new value of stress in each components.arrow_forward
- A steel gas bottle 2 m long with a diameter of 250 mm and a 3 mm wall thickness is pressurized to 3 MPa. Determine the stresses. help plzarrow_forwardA cylindrical pressure vessel is made by shrinking a brass shell over a mild steel shell. Both cylinders have a wall thickness of 6 mm. The nominal diameter of the vessel is 750 mm and is to be used in all calculations involving the diameter. When the brass cylinder is heated 50°C above room temperature, it exactly fits over the steel cylinder which is at room temperature. What is the stress in the brass cylinder when the composite vessels cool to room temperature? E for steel=200 GPA E for brass = 100 GPA a for steel = 12 x 10"/C a for brass = 19 x 106/°C Wrong answers will be downvotedarrow_forwardA steel tube of 200 mm external diameter is to be shrunkonto another steel tube of 60 mm internal diameter.The diameter at the junction after shrinking is 120 mmbefore shrinking on, the difference of diameters at the junctionis 0.08 mm. Calculate the radial pressure at the junctionand the Hoop stresses developed in the two tubes aftershrinking on.Take E = 2 x 10³ N/mm²arrow_forward
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