[(a) If the change of the diameter cannot exceed 0.1 m under elastic deformation, calculate the minimum allowable wall thickness of the cylindrical pressure vessel. (P=23.6 MPa, T=0 KN.m, R = 2 m, Young's modulus E = 246 GPa, and Poisson's ratio v = 0.21)] Step-2 The functional relationship between hoop strain, Epsilon_c, and wall thickness t(units: mm) can be most accurately expressed as Select one: O 1. Epsilon c=0.020/t O 2. Epsilon_c=0.096/t 3. Epsilon c=0.172/t 4. Epsilon_c = 0.343/t 5. Epsilon c=0.152/t A close end tube of thin-walled circular section may be subjected to torque 7 and internal pressure P, as shown in Figure Q3. The shear stress in the wall caused by the torque can be calculated as T = T/(2πR²t), where the mean radius of the cross section is R (i.e., the radius of the centreline of the wall) and the wall thickness is t. The internal radius of the tube can be calculated as (R-t/2). However, as R>>t, you can approximately assume that the internal radius of the tube is equal to Rin the subsequent calculation. The tube is made from a material with Young's modulus E, Poisson's ratio v. Orr T t P Ozz бөө Orr Z T Ozz бед Figure Q3 Centreline of the wall R (a) If the change of the diameter cannot exceed 0.1 m under elastic deformation, calculate the minimum allowable wall thickness of the cylindrical pressure vessel if P=23.6 MPa, T=0 KN.m, R = 2 m, Young's modulus E = 246 GPa, and Poisson's ratio v = 0.21.
[(a) If the change of the diameter cannot exceed 0.1 m under elastic deformation, calculate the minimum allowable wall thickness of the cylindrical pressure vessel. (P=23.6 MPa, T=0 KN.m, R = 2 m, Young's modulus E = 246 GPa, and Poisson's ratio v = 0.21)] Step-2 The functional relationship between hoop strain, Epsilon_c, and wall thickness t(units: mm) can be most accurately expressed as Select one: O 1. Epsilon c=0.020/t O 2. Epsilon_c=0.096/t 3. Epsilon c=0.172/t 4. Epsilon_c = 0.343/t 5. Epsilon c=0.152/t A close end tube of thin-walled circular section may be subjected to torque 7 and internal pressure P, as shown in Figure Q3. The shear stress in the wall caused by the torque can be calculated as T = T/(2πR²t), where the mean radius of the cross section is R (i.e., the radius of the centreline of the wall) and the wall thickness is t. The internal radius of the tube can be calculated as (R-t/2). However, as R>>t, you can approximately assume that the internal radius of the tube is equal to Rin the subsequent calculation. The tube is made from a material with Young's modulus E, Poisson's ratio v. Orr T t P Ozz бөө Orr Z T Ozz бед Figure Q3 Centreline of the wall R (a) If the change of the diameter cannot exceed 0.1 m under elastic deformation, calculate the minimum allowable wall thickness of the cylindrical pressure vessel if P=23.6 MPa, T=0 KN.m, R = 2 m, Young's modulus E = 246 GPa, and Poisson's ratio v = 0.21.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
![[(a) If the change of the diameter cannot exceed 0.1 m under elastic deformation, calculate the minimum allowable wall thickness of the cylindrical pressure vessel.
(P=23.6 MPa, T=0 KN.m, R = 2 m, Young's modulus E = 246 GPa, and Poisson's ratio v = 0.21)]
Step-2
The functional relationship between hoop strain, Epsilon_c, and wall thickness t(units: mm) can be most accurately expressed as
Select one:
O 1. Epsilon c=0.020/t
O 2. Epsilon_c=0.096/t
3. Epsilon c=0.172/t
4. Epsilon_c = 0.343/t
5. Epsilon c=0.152/t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcdbeedd9-7160-4e48-8601-b290608df50c%2Fa54ba7fd-99d4-4307-bbe0-6884833e101a%2Fu6ihx07_processed.png&w=3840&q=75)
Transcribed Image Text:[(a) If the change of the diameter cannot exceed 0.1 m under elastic deformation, calculate the minimum allowable wall thickness of the cylindrical pressure vessel.
(P=23.6 MPa, T=0 KN.m, R = 2 m, Young's modulus E = 246 GPa, and Poisson's ratio v = 0.21)]
Step-2
The functional relationship between hoop strain, Epsilon_c, and wall thickness t(units: mm) can be most accurately expressed as
Select one:
O 1. Epsilon c=0.020/t
O 2. Epsilon_c=0.096/t
3. Epsilon c=0.172/t
4. Epsilon_c = 0.343/t
5. Epsilon c=0.152/t
![A close end tube of thin-walled circular section may be subjected to torque 7 and internal pressure P, as shown in Figure Q3. The shear stress in the wall caused by
the torque can be calculated as T = T/(2πR²t), where the mean radius of the cross section is R (i.e., the radius of the centreline of the wall) and the wall thickness
is t. The internal radius of the tube can be calculated as (R-t/2). However, as R>>t, you can approximately assume that the internal radius of the tube is equal to Rin
the subsequent calculation. The tube is made from a material with Young's modulus E, Poisson's ratio v.
Orr
T
t
P
Ozz
бөө
Orr
Z
T
Ozz
бед
Figure Q3
Centreline of
the wall
R
(a) If the change of the diameter cannot exceed 0.1 m under elastic deformation, calculate the minimum allowable wall thickness of the cylindrical pressure vessel if
P=23.6 MPa, T=0 KN.m, R = 2 m, Young's modulus E = 246 GPa, and Poisson's ratio v = 0.21.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcdbeedd9-7160-4e48-8601-b290608df50c%2Fa54ba7fd-99d4-4307-bbe0-6884833e101a%2Fbuxmw3i_processed.png&w=3840&q=75)
Transcribed Image Text:A close end tube of thin-walled circular section may be subjected to torque 7 and internal pressure P, as shown in Figure Q3. The shear stress in the wall caused by
the torque can be calculated as T = T/(2πR²t), where the mean radius of the cross section is R (i.e., the radius of the centreline of the wall) and the wall thickness
is t. The internal radius of the tube can be calculated as (R-t/2). However, as R>>t, you can approximately assume that the internal radius of the tube is equal to Rin
the subsequent calculation. The tube is made from a material with Young's modulus E, Poisson's ratio v.
Orr
T
t
P
Ozz
бөө
Orr
Z
T
Ozz
бед
Figure Q3
Centreline of
the wall
R
(a) If the change of the diameter cannot exceed 0.1 m under elastic deformation, calculate the minimum allowable wall thickness of the cylindrical pressure vessel if
P=23.6 MPa, T=0 KN.m, R = 2 m, Young's modulus E = 246 GPa, and Poisson's ratio v = 0.21.
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