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 σ = 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 Ozz бее буг Z бее T бел Figure Q3 Centreline of the wall R Calculate the principal stress σ3 at the selected element within the wall (Fig. Q3) if T = 26.7 KN.m, P = 23.6 MPa, t = 2.2 mm, R = 2 m. The following choices are provided in units of MPa and rounded to three decimal places. Select one: O a. -5363.64 O b. 0.000 ○ c. -10727.27 O d. -21454.545

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 1.3.18P: A stepped shaft ABC consisting of two solid, circular segments is subjected to uniformly distributed...
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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 σ = 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
Ozz
бее
буг
Z
бее
T
бел
Figure Q3
Centreline of
the wall
R
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 σ = 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 Ozz бее буг Z бее T бел Figure Q3 Centreline of the wall R
Calculate the principal stress σ3 at the selected element within the wall (Fig. Q3) if T = 26.7 KN.m, P = 23.6 MPa, t = 2.2 mm, R = 2 m.
The following choices are provided in units of MPa and rounded to three decimal places.
Select one:
O a. -5363.64
O b. 0.000
○ c. -10727.27
O d. -21454.545
Transcribed Image Text:Calculate the principal stress σ3 at the selected element within the wall (Fig. Q3) if T = 26.7 KN.m, P = 23.6 MPa, t = 2.2 mm, R = 2 m. The following choices are provided in units of MPa and rounded to three decimal places. Select one: O a. -5363.64 O b. 0.000 ○ c. -10727.27 O d. -21454.545
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