The thin-walled cylinder can be supported in one of two ways as shown in the figure below. Determine the state of stress in the wall of the cylinder for both cases if the piston P causes the internal pressure to be 62 psi . The wall has a thickness of 0.25 in. and the inner diameter of the cylinder is 8 in. (Figure 1)
A. Determine the hoop stress in the left cylinder in the figure.
B. Determine the longitudinal stress in the left cylinder in the figure.
C. Determine the hoop stress in the right cylinder in the figure.
D. Determine the longitudinal stress in the right cylinder in the figure.
Homework Answers
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The thin-walled cylinder can be supported in one of two ways as
shown in the figure...
1. Consider a thin-walled cylinder which is sealed at both ends which contains a gas under...
1. Consider a thin-walled cylinder which is sealed at both ends which contains a gas under a pressure of 1000 MPa. The cylinder is one meter long, 100 mm in diameter and has a wall thickness of 5 mm. • Determine the hoop stress. • Determine the longitudinal stress.
Problem #2: (10 points) Consider a closed, thin-walled, pressurized cylinder of inside radius r, wall thickness...
Problem #2: (10 points) Consider a closed, thin-walled, pressurized cylinder of inside radius r, wall thickness t, and length L. The cylinder is subjected to an internal pressure p. The cylinder is also subjected to equal and opposite end torques T, as shown in Figure 1. At any point in the side wall of the cylinder, a two-dimensional coordinate system is established such that x,-axis is in the axial direction of the cylinder and the Xz-axis is in the circumferential...
4.A thin-walled cylindrical column carries a weightless arch and is loaded as shown in Figure 4. The column has an internal diameter of 250 mm with a thickness of 2 mm Given: E-200 GPa and 0.3 The an...
4.A thin-walled cylindrical column carries a weightless arch and is loaded as shown in Figure 4. The column has an internal diameter of 250 mm with a thickness of 2 mm Given: E-200 GPa and 0.3 The answer to each part of the question is to be used for subsequent parts (a)Determine the stresses on the outer surface of the cylinder at points A and B due to (8 marks) (b) Determine the minimum internal pressure p required if the...
Problem 3 [35 marks] An inspection of a failed thin walled pressure vessel (cylinder with closed...
Problem 3 [35 marks] An inspection of a failed thin walled pressure vessel (cylinder with closed ends) shows through- the-thickness cracks in the axial (or longitudinal) direction. The length of the cracks varies from 10 mm to 25 mm. The pressure vessel has radius R = 1.5 m, wall thickness t = 30 mm, and was manufactured from aluminium with fracture toughness properties Kịc = 50 MPa m12. a) Determine the pressure at which the vessel is expected to have...
The thin walled pressure vessel with closed ends shown below is under an internal pressure of...
The thin walled pressure vessel with closed ends shown below is under an internal pressure of P 6 MPa. If the pressure vessel has a radius of r 15 degrees from the longitudinal axis (i.e 144 mm and a wall thickness of t = 5 mm, what is the magnitude of the shear angle stress at an - T x'v). Ensure your answer is in MPa. у у' x x
SIT 3. A compressed-air tank is supported by two cradles as shown. One of the cradles...
SIT 3. A compressed-air tank is supported by two cradles as shown. One of the cradles is designed so that it does not exert any longitudinal force on the tank. The cylindrical body of the tank has a 30-in. outer diameter and is made of a 3/8-in. steel plate by butt welding. The end caps are spherical and have a uniform wall thickness of 5/16 in. For an internal gage pressure of 180 psi, determine: 4. Then longitudinal stress in...
A thin-walled pressure vessel is constructed with a helical weld at an angle a = 70°...
A thin-walled pressure vessel is constructed with a helical weld at an angle a = 70° from the longitudinal axis. The welded vessel has an internal radius of r = 48 inches and a thickness 1 = 0.12 inch. The gas pressure inside the vessel is 250 psi. Determine the normal and shear stresses, on and ts, along the weld line. Helical weld Figure 2
1. (15 points) The thin-walled pipe has an inner diameter of 0.5 in. and a thickness...
1. (15 points) The thin-walled pipe has an inner diameter of 0.5 in. and a thickness of 0.025 in. If it is subjected to an internal pressure of 200 psi and the axial tension and torsional loadings as shown, determine the state of stress at point A and sketch these stresses on element A. Extra Credit: What is the maximum in-plane shear stress in this element? 00 lb 100 lb 20 lb.ft 20 lb.ft
A thin walled spherical pressure vessel is made of A36 steel. Determine the required wall thickness...
A thin walled spherical pressure vessel is made of A36 steel. Determine the required wall thickness (to the closest 1/8 inch) if the allowable stress, ?allowed-K (?yield). The gauge pressure is 1,000 psi. 120 in
The thin-walled pipe has an inner diameter of 0.5 in and a thickness of 0.025 in....
The thin-walled pipe has an inner diameter of 0.5 in and a thickness of 0.025 in. Part A If it is subjected to an internal pressure of 572 psi and the axial tension and torsional loadings shown, determine the principal stress at a point on the surface of the pipe. (Figure 1) Enter your answers numerically separated by a comma. AZO If vec 01,02 = ksi Submit Request Answer Figure < 1 of 1 Provide Feedback 200 lb 200 lb...
1. Consider a thin-walled cylinder which is sealed at both ends which contains a gas under a pressure of 1000 MPa. The cylinder is one meter long, 100 mm in diameter and has a wall thickness of 5 mm. • Determine the hoop stress. • Determine the longitudinal stress.
Problem #2: (10 points) Consider a closed, thin-walled, pressurized cylinder of inside radius r, wall thickness t, and length L. The cylinder is subjected to an internal pressure p. The cylinder is also subjected to equal and opposite end torques T, as shown in Figure 1. At any point in the side wall of the cylinder, a two-dimensional coordinate system is established such that x,-axis is in the axial direction of the cylinder and the Xz-axis is in the circumferential...
4.A thin-walled cylindrical column carries a weightless arch and is loaded as shown in Figure 4. The column has an internal diameter of 250 mm with a thickness of 2 mm Given: E-200 GPa and 0.3 The answer to each part of the question is to be used for subsequent parts (a)Determine the stresses on the outer surface of the cylinder at points A and B due to (8 marks) (b) Determine the minimum internal pressure p required if the...
Problem 3 [35 marks] An inspection of a failed thin walled pressure vessel (cylinder with closed ends) shows through- the-thickness cracks in the axial (or longitudinal) direction. The length of the cracks varies from 10 mm to 25 mm. The pressure vessel has radius R = 1.5 m, wall thickness t = 30 mm, and was manufactured from aluminium with fracture toughness properties Kịc = 50 MPa m12. a) Determine the pressure at which the vessel is expected to have...
The thin walled pressure vessel with closed ends shown below is under an internal pressure of P 6 MPa. If the pressure vessel has a radius of r 15 degrees from the longitudinal axis (i.e 144 mm and a wall thickness of t = 5 mm, what is the magnitude of the shear angle stress at an - T x'v). Ensure your answer is in MPa. у у' x x
SIT 3. A compressed-air tank is supported by two cradles as shown. One of the cradles is designed so that it does not exert any longitudinal force on the tank. The cylindrical body of the tank has a 30-in. outer diameter and is made of a 3/8-in. steel plate by butt welding. The end caps are spherical and have a uniform wall thickness of 5/16 in. For an internal gage pressure of 180 psi, determine: 4. Then longitudinal stress in...
A thin-walled pressure vessel is constructed with a helical weld at an angle a = 70° from the longitudinal axis. The welded vessel has an internal radius of r = 48 inches and a thickness 1 = 0.12 inch. The gas pressure inside the vessel is 250 psi. Determine the normal and shear stresses, on and ts, along the weld line. Helical weld Figure 2
1. (15 points) The thin-walled pipe has an inner diameter of 0.5 in. and a thickness of 0.025 in. If it is subjected to an internal pressure of 200 psi and the axial tension and torsional loadings as shown, determine the state of stress at point A and sketch these stresses on element A. Extra Credit: What is the maximum in-plane shear stress in this element? 00 lb 100 lb 20 lb.ft 20 lb.ft
A thin walled spherical pressure vessel is made of A36 steel. Determine the required wall thickness (to the closest 1/8 inch) if the allowable stress, ?allowed-K (?yield). The gauge pressure is 1,000 psi. 120 in
The thin-walled pipe has an inner diameter of 0.5 in and a thickness of 0.025 in. Part A If it is subjected to an internal pressure of 572 psi and the axial tension and torsional loadings shown, determine the principal stress at a point on the surface of the pipe. (Figure 1) Enter your answers numerically separated by a comma. AZO If vec 01,02 = ksi Submit Request Answer Figure < 1 of 1 Provide Feedback 200 lb 200 lb...
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