Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 46 MPa, Sy = 61 MPa, and Sxy = 14 MPa. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) (c) Compute the absolute shear stress at the point. Answer: (a) Op1 = Op2 Tmax in-plane= = (c) Tmax abs Sxy = MPa MPa (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) MPa MPa
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 46 MPa, Sy = 61 MPa, and Sxy = 14 MPa. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) (c) Compute the absolute shear stress at the point. Answer: (a) Op1 = Op2 Tmax in-plane= = (c) Tmax abs Sxy = MPa MPa (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) MPa MPa
Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter9: Time, Temperature, And Mechanical Properties
Section: Chapter Questions
Problem 9.3P
Related questions
Question
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 46 MPa, Sy = 61 MPa, and Sxy = 14 MPa.
(a) Determine the principal stresses and the maximum in-plane shear stress acting at the point.
(b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)
(c) Compute the absolute shear stress at the point.
![Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes
acting on horizontal and vertical planes at the point are Sx = 46 MPa, Sy = 61 MPa, and Sxy = 14 MPa.
(a) Determine the principal stresses and the maximum in-plane shear stress acting at the point.
(b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)
(c) Compute the absolute shear stress at the point.
Answer:
(a) Op1=
op2 =
Tmax in-plane
=
(c) Tmax abs=
MPa
MPa
MPa
(b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)
MPa](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8fb26a83-a1f1-4353-a645-de1a4c597645%2Fc7f2cadd-578c-4493-b029-ae464d8997ed%2Fjaicgpq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes
acting on horizontal and vertical planes at the point are Sx = 46 MPa, Sy = 61 MPa, and Sxy = 14 MPa.
(a) Determine the principal stresses and the maximum in-plane shear stress acting at the point.
(b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)
(c) Compute the absolute shear stress at the point.
Answer:
(a) Op1=
op2 =
Tmax in-plane
=
(c) Tmax abs=
MPa
MPa
MPa
(b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)
MPa
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Materials Science And Engineering Properties](https://www.bartleby.com/isbn_cover_images/9781111988609/9781111988609_smallCoverImage.gif)
Materials Science And Engineering Properties
Civil Engineering
ISBN:
9781111988609
Author:
Charles Gilmore
Publisher:
Cengage Learning
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Principles of Geotechnical Engineering (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305970939/9781305970939_smallCoverImage.gif)
Principles of Geotechnical Engineering (MindTap C…
Civil Engineering
ISBN:
9781305970939
Author:
Braja M. Das, Khaled Sobhan
Publisher:
Cengage Learning
![Materials Science And Engineering Properties](https://www.bartleby.com/isbn_cover_images/9781111988609/9781111988609_smallCoverImage.gif)
Materials Science And Engineering Properties
Civil Engineering
ISBN:
9781111988609
Author:
Charles Gilmore
Publisher:
Cengage Learning
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Principles of Geotechnical Engineering (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305970939/9781305970939_smallCoverImage.gif)
Principles of Geotechnical Engineering (MindTap C…
Civil Engineering
ISBN:
9781305970939
Author:
Braja M. Das, Khaled Sobhan
Publisher:
Cengage Learning
![Construction Materials, Methods and Techniques (M…](https://www.bartleby.com/isbn_cover_images/9781305086272/9781305086272_smallCoverImage.gif)
Construction Materials, Methods and Techniques (M…
Civil Engineering
ISBN:
9781305086272
Author:
William P. Spence, Eva Kultermann
Publisher:
Cengage Learning
![Steel Design (Activate Learning with these NEW ti…](https://www.bartleby.com/isbn_cover_images/9781337094740/9781337094740_smallCoverImage.gif)
Steel Design (Activate Learning with these NEW ti…
Civil Engineering
ISBN:
9781337094740
Author:
Segui, William T.
Publisher:
Cengage Learning
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781305081550/9781305081550_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781305081550
Author:
Braja M. Das
Publisher:
Cengage Learning