Part B Assuming the plane stress condition (o, = Tyz = Tyz= 0), what is the normal stress in x-direction (o,) at point A? O 69.1 MPa O 93.5 MPa O 52.9 MPa O 110 MPa O 81.3 MPa Submit Request Answer • Part C Assuming the plane stress condition (o, = Txz = Tyz= 0), what is the change in thickness change of the plate? O -2.91x10-6 m O -5.31×10-6 m O -3.43x10-6 m O -4.63x10-6 m O -3.94×10-6 m Submit Request Answer
Part B Assuming the plane stress condition (o, = Tyz = Tyz= 0), what is the normal stress in x-direction (o,) at point A? O 69.1 MPa O 93.5 MPa O 52.9 MPa O 110 MPa O 81.3 MPa Submit Request Answer • Part C Assuming the plane stress condition (o, = Txz = Tyz= 0), what is the change in thickness change of the plate? O -2.91x10-6 m O -5.31×10-6 m O -3.43x10-6 m O -4.63x10-6 m O -3.94×10-6 m Submit Request Answer
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
Related questions
Question
![**Part B**
Assuming the plane stress condition \((\sigma_z = \tau_{xz} = \tau_{yz} = 0)\), what is the normal stress in the x-direction \((\sigma_x)\) at point A?
- ○ 69.1 MPa
- ○ 93.5 MPa
- ○ 52.9 MPa
- ○ 110 MPa
- ○ 81.3 MPa
[Submit] [Request Answer]
**Part C**
Assuming the plane stress condition \((\sigma_z = \tau_{xz} = \tau_{yz} = 0)\), what is the change in thickness of the plate?
- ○ \(-2.91 \times 10^{-6}\) m
- ○ \(-5.31 \times 10^{-6}\) m
- ○ \(-3.43 \times 10^{-6}\) m
- ○ \(-4.63 \times 10^{-6}\) m
- ○ \(-3.94 \times 10^{-6}\) m
[Submit] [Request Answer]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e366a85-c23b-450a-9bc7-d2ea0be52d3f%2F8747a466-fadc-40d4-8d8c-759b3c935ecb%2F44kvb5a_processed.png&w=3840&q=75)
Transcribed Image Text:**Part B**
Assuming the plane stress condition \((\sigma_z = \tau_{xz} = \tau_{yz} = 0)\), what is the normal stress in the x-direction \((\sigma_x)\) at point A?
- ○ 69.1 MPa
- ○ 93.5 MPa
- ○ 52.9 MPa
- ○ 110 MPa
- ○ 81.3 MPa
[Submit] [Request Answer]
**Part C**
Assuming the plane stress condition \((\sigma_z = \tau_{xz} = \tau_{yz} = 0)\), what is the change in thickness of the plate?
- ○ \(-2.91 \times 10^{-6}\) m
- ○ \(-5.31 \times 10^{-6}\) m
- ○ \(-3.43 \times 10^{-6}\) m
- ○ \(-4.63 \times 10^{-6}\) m
- ○ \(-3.94 \times 10^{-6}\) m
[Submit] [Request Answer]
![**Transcription for Educational Website**
---
**Topic:** Strain Analysis of a Steel Plate under Biaxial Stress
**Description:**
A steel plate is subjected to biaxial stress as depicted in the diagram. A 60-degree strain rosette is mounted on the plate's surface at point A. The measured strains are as follows:
- \( \varepsilon_a = 3.00 \times 10^{-4} \)
- \( \varepsilon_b = \varepsilon_c = 2.50 \times 10^{-4} \)
The plate has a thickness of 15.0 mm. The material properties include a Poisson's ratio (\( \nu \)) of 0.300 and Young's modulus (E) of 200 GPa. [Click here to see the equations.]
**Diagram Explanation:**
1. **Strain Rosette Configuration:**
- The diagram shows three strain gauges positioned at 60-degree intervals, labeled as \( a \), \( b \), and \( c \).
- The rosette measures strains in different directions.
2. **Stress Application:**
- The diagram on the right displays a rectangular plate with applied stresses \( \sigma_x \) and \( \sigma_y \) along the edges.
- Point A is marked on the plate where the strain rosette is positioned.
**Interactive Component:**
**Part A**
- **Strain Transformation Formula:**
\[
\varepsilon_x = \varepsilon_x \cos^2 \theta + \varepsilon_y \sin^2 \theta + \gamma_{xy} \sin \theta \cos \theta
\]
- **Question:**
What is the normal strain in the y-direction (\( \varepsilon_y \)) at point A?
- **Answer Choices:**
- \( 2.68 \times 10^{-4} \)
- \( 2.33 \times 10^{-4} \)
- \( 1.52 \times 10^{-4} \)
- \( 1.98 \times 10^{-4} \)
- \( 8.17 \times 10^{-5} \)
- **Interactive Options:**
- **Submit** your answer.
- **Request Answer** for correct solution feedback.
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e366a85-c23b-450a-9bc7-d2ea0be52d3f%2F8747a466-fadc-40d4-8d8c-759b3c935ecb%2Fz1i2jeg_processed.png&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
---
**Topic:** Strain Analysis of a Steel Plate under Biaxial Stress
**Description:**
A steel plate is subjected to biaxial stress as depicted in the diagram. A 60-degree strain rosette is mounted on the plate's surface at point A. The measured strains are as follows:
- \( \varepsilon_a = 3.00 \times 10^{-4} \)
- \( \varepsilon_b = \varepsilon_c = 2.50 \times 10^{-4} \)
The plate has a thickness of 15.0 mm. The material properties include a Poisson's ratio (\( \nu \)) of 0.300 and Young's modulus (E) of 200 GPa. [Click here to see the equations.]
**Diagram Explanation:**
1. **Strain Rosette Configuration:**
- The diagram shows three strain gauges positioned at 60-degree intervals, labeled as \( a \), \( b \), and \( c \).
- The rosette measures strains in different directions.
2. **Stress Application:**
- The diagram on the right displays a rectangular plate with applied stresses \( \sigma_x \) and \( \sigma_y \) along the edges.
- Point A is marked on the plate where the strain rosette is positioned.
**Interactive Component:**
**Part A**
- **Strain Transformation Formula:**
\[
\varepsilon_x = \varepsilon_x \cos^2 \theta + \varepsilon_y \sin^2 \theta + \gamma_{xy} \sin \theta \cos \theta
\]
- **Question:**
What is the normal strain in the y-direction (\( \varepsilon_y \)) at point A?
- **Answer Choices:**
- \( 2.68 \times 10^{-4} \)
- \( 2.33 \times 10^{-4} \)
- \( 1.52 \times 10^{-4} \)
- \( 1.98 \times 10^{-4} \)
- \( 8.17 \times 10^{-5} \)
- **Interactive Options:**
- **Submit** your answer.
- **Request Answer** for correct solution feedback.
---
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