The spherical pressure vessel has an inner diameter of 2 m and a thickness of 10 mm. A strain gauge having a length of 20 mm is attached to it, and it is observed to increase in length by 0.014 mm when the vessel is pressurized. The material is steel, for which Est = 200 GPa and 1st = 0.3. (Figure 1) Figure < 1 of 1 > חות 20 Determine the pressure causing this deformation at a point on the outer surface of the vessel. Express your answer using three significant figures and include the appropriate units. μÀ ? p= Value Units Submit Request Answer Part B Find the maximum in-plane shear stress for the plane tangent to the sphere's surface. Express your answer using three significant figures and include the appropriate units. Tmax in-plane= Value Units Submit Request Answer Part C Find the absolute maximum shear stress. Express your answer using three significant figures and include the appropriate units. μÅ ? Tabs max = Value Units
The spherical pressure vessel has an inner diameter of 2 m and a thickness of 10 mm. A strain gauge having a length of 20 mm is attached to it, and it is observed to increase in length by 0.014 mm when the vessel is pressurized. The material is steel, for which Est = 200 GPa and 1st = 0.3. (Figure 1) Figure < 1 of 1 > חות 20 Determine the pressure causing this deformation at a point on the outer surface of the vessel. Express your answer using three significant figures and include the appropriate units. μÀ ? p= Value Units Submit Request Answer Part B Find the maximum in-plane shear stress for the plane tangent to the sphere's surface. Express your answer using three significant figures and include the appropriate units. Tmax in-plane= Value Units Submit Request Answer Part C Find the absolute maximum shear stress. Express your answer using three significant figures and include the appropriate units. μÅ ? Tabs max = Value Units
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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![### Pressure Vessel Analysis
#### Problem Statement
The spherical pressure vessel has an inner diameter of **2 m** and a thickness of **10 mm**. A strain gauge having a length of **20 mm** is attached to it, and it is observed to increase in length by **0.014 mm** when the vessel is pressurized. The material is steel, for which \(E_{st} = 200 \: GPa\) and \(\nu_{st} = 0.3\).
(Figure 1)
#### Figure 1
The figure shows a spherical pressure vessel with a strain gauge attached to its surface. The gauge length is indicated to be **20 mm**.
#### Part A
**Determine the pressure causing this deformation at a point on the outer surface of the vessel.**
Express your answer using three significant figures and include the appropriate units.
\[ p = \boxed{\text{Value}} \:\text{Units} \]
[Submit]
[Request Answer]
#### Part B
**Find the maximum in-plane shear stress for the plane tangent to the sphere's surface.**
Express your answer using three significant figures and include the appropriate units.
\[ \tau_{\text{max in-plane}} = \boxed{\text{Value}} \:\text{Units} \]
[Submit]
[Request Answer]
#### Part C
**Find the absolute maximum shear stress.**
Express your answer using three significant figures and include the appropriate units.
\[ \tau_{\text{abs max}} = \boxed{\text{Value}} \:\text{Units} \]
[Submit]
[Request Answer]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd20dfe5a-a4c1-4793-9f05-a80ad59a67d4%2F3beb2154-f8a0-424e-be48-f21030a01e92%2Fxdy8xlq_processed.png&w=3840&q=75)
Transcribed Image Text:### Pressure Vessel Analysis
#### Problem Statement
The spherical pressure vessel has an inner diameter of **2 m** and a thickness of **10 mm**. A strain gauge having a length of **20 mm** is attached to it, and it is observed to increase in length by **0.014 mm** when the vessel is pressurized. The material is steel, for which \(E_{st} = 200 \: GPa\) and \(\nu_{st} = 0.3\).
(Figure 1)
#### Figure 1
The figure shows a spherical pressure vessel with a strain gauge attached to its surface. The gauge length is indicated to be **20 mm**.
#### Part A
**Determine the pressure causing this deformation at a point on the outer surface of the vessel.**
Express your answer using three significant figures and include the appropriate units.
\[ p = \boxed{\text{Value}} \:\text{Units} \]
[Submit]
[Request Answer]
#### Part B
**Find the maximum in-plane shear stress for the plane tangent to the sphere's surface.**
Express your answer using three significant figures and include the appropriate units.
\[ \tau_{\text{max in-plane}} = \boxed{\text{Value}} \:\text{Units} \]
[Submit]
[Request Answer]
#### Part C
**Find the absolute maximum shear stress.**
Express your answer using three significant figures and include the appropriate units.
\[ \tau_{\text{abs max}} = \boxed{\text{Value}} \:\text{Units} \]
[Submit]
[Request Answer]
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