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A close end tube of thin-walled circular section may be subjected to torque Tand 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 R in the subsequent calculation. The tube is made from a material with Young's modulus E, Poisson's ratio v. Orr T Centreline of the wall R P 022 dee бут Z бее T Ozz Figure Q3 [(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-4 The minimum allowable wall thickness of the cylindrical pressure vessel can be calculated as (Units: mm and rounded to three decimal places) Select one O 1.8.481 O 2.4.240 ○ 3.6.869 ○ 4. 16.961 5. 13.738 O 6.3.434

A close end tube of thin-walled circular section may be subjected to torque Tand 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 R in the subsequent calculation. The tube is made from a material with Young's modulus E, Poisson's ratio v. Orr T Centreline of the wall R P 022 dee бут Z бее T Ozz Figure Q3 [(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-4 The minimum allowable wall thickness of the cylindrical pressure vessel can be calculated as (Units: mm and rounded to three decimal places) Select one O 1.8.481 O 2.4.240 ○ 3.6.869 ○ 4. 16.961 5. 13.738 O 6.3.434

Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.5.2P: A steel riser pipe hangs from a drill rig located offshore in deep water (see figure). (a) What is...
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A close end tube of thin-walled circular section may be subjected to torque Tand 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 R in the subsequent calculation. The tube is made from a material with Young's modulus E, Poisson's ratio v. Orr T Centreline of the wall R P 022 dee бут Z бее T Ozz Figure Q3
Transcribed Image Text:A close end tube of thin-walled circular section may be subjected to torque Tand 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 R in the subsequent calculation. The tube is made from a material with Young's modulus E, Poisson's ratio v. Orr T Centreline of the wall R P 022 dee бут Z бее T Ozz Figure Q3
[(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-4 The minimum allowable wall thickness of the cylindrical pressure vessel can be calculated as (Units: mm and rounded to three decimal places) Select one O 1.8.481 O 2.4.240 ○ 3.6.869 ○ 4. 16.961 5. 13.738 O 6.3.434
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-4 The minimum allowable wall thickness of the cylindrical pressure vessel can be calculated as (Units: mm and rounded to three decimal places) Select one O 1.8.481 O 2.4.240 ○ 3.6.869 ○ 4. 16.961 5. 13.738 O 6.3.434
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