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▼ ▼ Part A - Minimum thickness for a cylinder t = 0.448 cm A cylindrical tank is required to contain a gage pressure 560 kPa. The tank is to be made of A516 grade 60 steel with a maximum allowable normal stress of 150 MPa If the inner diameter of the tank is 2.4 m, what is the minimum thickness, t, of the wall? Express your answer with appropriate units to three significant figures. ►View Available Hint(s) Correct This thickness is less than the maximum 12 cm allowed by the thin wall assumption, T/t > 10. Part B-Maximum pressure for a cylinder P= Previous Answers A cylindrical tank is made of A516 grade 60 steel with a maximum allowable normal stress of 150 MPa. If the inner diameter of the tank is 4.7 m and the thickness is 1.6 cm, what is the maximum allowable gage pressure? Express your answer with appropriate units to three significant figures. ►View Available Hint(s) Submit LO Value Submit μA Part C-Spherical pressure vessel 00 A spherical pressure vessel is required to contain 1.8 m² of compressed natural gas at 21 MPa. If the tank is made of A516 grade 60 steel with a maximum normal stress 150 MPa, what is the required thickness of the tank wall? Express your answer with appropriate units to three significant figures. ► View Available Hint(s) Units μA t= Value 3 of 3 Revi Units

▼ ▼ Part A - Minimum thickness for a cylinder t = 0.448 cm A cylindrical tank is required to contain a gage pressure 560 kPa. The tank is to be made of A516 grade 60 steel with a maximum allowable normal stress of 150 MPa If the inner diameter of the tank is 2.4 m, what is the minimum thickness, t, of the wall? Express your answer with appropriate units to three significant figures. ►View Available Hint(s) Correct This thickness is less than the maximum 12 cm allowed by the thin wall assumption, T/t > 10. Part B-Maximum pressure for a cylinder P= Previous Answers A cylindrical tank is made of A516 grade 60 steel with a maximum allowable normal stress of 150 MPa. If the inner diameter of the tank is 4.7 m and the thickness is 1.6 cm, what is the maximum allowable gage pressure? Express your answer with appropriate units to three significant figures. ►View Available Hint(s) Submit LO Value Submit μA Part C-Spherical pressure vessel 00 A spherical pressure vessel is required to contain 1.8 m² of compressed natural gas at 21 MPa. If the tank is made of A516 grade 60 steel with a maximum normal stress 150 MPa, what is the required thickness of the tank wall? Express your answer with appropriate units to three significant figures. ► View Available Hint(s) Units μA t= Value 3 of 3 Revi Units

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Learning Goal: To use the relationship for normal stress and pressure in thin-walled pressure vessels to calculate the required thickness and maximum pressure. When the wall thickness t of a spherical or cylindrical tank used to contain a fluid under pressure p is small compared to tank's inner radius (r/t≥ 10), the normal stresses in the wall can be calculated using a simple technique. In a cylindrical tank, there are three different normal stresses ( Figure 1). The stress perpendicular to the cylinder's axis and tangent to the cylinder wall, known as the hoop or circumferential stress, is 01 = pr The t stress in the direction parallel to the cylinder's axis, or the longitudinal stress, is o2 = where ris pr 2t the inner radius of the cylinder. The stress in the radial direction varies from the internal pressure p at the inner surface to zero at the outer surface. The radial stress is typically much smaller than either of the other two, and can be ignored. Notice that the hoop stress is twice the longitudinal stress, so it controls the design of the cylinder. For a spherical pressure vessel, the normal stress is the same in any direction tangent to the vessel wall, and is o= pr 2t Figure 02 < 1 of 1 Part A- Minimum thickness for a cylinder t = 0.448 cm A cylindrical tank is required to contain a gage pressure 560 kPa. The tank is to be made of A516 grade 60 steel with a maximum allowable normal stress of 150 MPa If the inner diameter of the tank is 2.4 m, what is the minimum thickness, t, of the wall? Express your answer with appropriate units to three significant figures. ►View Available Hint(s) Correct This thickness is less than the maximum 12 cm allowed by the thin wall assumption, r/t> 10. Part B - Maximum pressure for a cylinder Previous Answers Submit A cylindrical tank is made of A516 grade 60 steel with a maximum allowable normal stress of 150 MPa. If the inner diameter of the tank is 4.7 m and the thickness is 1.6 cm, wh is the maximum allowable gage pressure? Express your answer with appropriate units to three significant figures. ►View Available Hint(s) P= Value 0 t = Part C-Spherical pressure vessel Submit A spherical pressure vessel is required to contain 1.8 m³ of compressed natural gas at 21 MPa. If the tank is made of A516 grade 60 steel with a maximum normal stress 150 MPa, what is the required thickness of the tank wall? Express your answer with appropriate units to three significant figures. ► View Available Hint(s) Value Units < Return to Assignment Units Provide Feedback 3 of 3 ? ? Review
Transcribed Image Text:Learning Goal: To use the relationship for normal stress and pressure in thin-walled pressure vessels to calculate the required thickness and maximum pressure. When the wall thickness t of a spherical or cylindrical tank used to contain a fluid under pressure p is small compared to tank's inner radius (r/t≥ 10), the normal stresses in the wall can be calculated using a simple technique. In a cylindrical tank, there are three different normal stresses ( Figure 1). The stress perpendicular to the cylinder's axis and tangent to the cylinder wall, known as the hoop or circumferential stress, is 01 = pr The t stress in the direction parallel to the cylinder's axis, or the longitudinal stress, is o2 = where ris pr 2t the inner radius of the cylinder. The stress in the radial direction varies from the internal pressure p at the inner surface to zero at the outer surface. The radial stress is typically much smaller than either of the other two, and can be ignored. Notice that the hoop stress is twice the longitudinal stress, so it controls the design of the cylinder. For a spherical pressure vessel, the normal stress is the same in any direction tangent to the vessel wall, and is o= pr 2t Figure 02 < 1 of 1 Part A- Minimum thickness for a cylinder t = 0.448 cm A cylindrical tank is required to contain a gage pressure 560 kPa. The tank is to be made of A516 grade 60 steel with a maximum allowable normal stress of 150 MPa If the inner diameter of the tank is 2.4 m, what is the minimum thickness, t, of the wall? Express your answer with appropriate units to three significant figures. ►View Available Hint(s) Correct This thickness is less than the maximum 12 cm allowed by the thin wall assumption, r/t> 10. Part B - Maximum pressure for a cylinder Previous Answers Submit A cylindrical tank is made of A516 grade 60 steel with a maximum allowable normal stress of 150 MPa. If the inner diameter of the tank is 4.7 m and the thickness is 1.6 cm, wh is the maximum allowable gage pressure? Express your answer with appropriate units to three significant figures. ►View Available Hint(s) P= Value 0 t = Part C-Spherical pressure vessel Submit A spherical pressure vessel is required to contain 1.8 m³ of compressed natural gas at 21 MPa. If the tank is made of A516 grade 60 steel with a maximum normal stress 150 MPa, what is the required thickness of the tank wall? Express your answer with appropriate units to three significant figures. ► View Available Hint(s) Value Units < Return to Assignment Units Provide Feedback 3 of 3 ? ? Review
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