Balancing the sums of the forces in the primed coordinate system yields two equations: 0x = 0x cos² +σy sin² 0 + Txy (2 sin 0 cos 0) Tx'y' = (σy — σx) sin 0 cos 0 + Txy (cos² 0 – sin² 0) - Using the trigonometric identities Figure Oy - 6 of 6 Part D - Clockwise Rotation of a Stress Element with No Shear Stress The state of stress at a point in a member is shown on the rectangular stress element in (Figure 6) where the magnitudes of the stresses are |σx | = 29 ksi and |σy| = 26 ksi. Determine the state of stress on an element rotated such that the +x' axis is 20° below the -x axis of the original stress element. Express your answers, separated by commas, to three significant figures. ▸ View Available Hint(s) σ =σy, Tx'y' = Submit ΜΕ ΑΣΦ ↓↑ vec ? ksi, ksi, ksi
Balancing the sums of the forces in the primed coordinate system yields two equations: 0x = 0x cos² +σy sin² 0 + Txy (2 sin 0 cos 0) Tx'y' = (σy — σx) sin 0 cos 0 + Txy (cos² 0 – sin² 0) - Using the trigonometric identities Figure Oy - 6 of 6 Part D - Clockwise Rotation of a Stress Element with No Shear Stress The state of stress at a point in a member is shown on the rectangular stress element in (Figure 6) where the magnitudes of the stresses are |σx | = 29 ksi and |σy| = 26 ksi. Determine the state of stress on an element rotated such that the +x' axis is 20° below the -x axis of the original stress element. Express your answers, separated by commas, to three significant figures. ▸ View Available Hint(s) σ =σy, Tx'y' = Submit ΜΕ ΑΣΦ ↓↑ vec ? ksi, ksi, ksi
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![Balancing the sums of the forces in the primed
coordinate system yields two equations:
0x = 0x cos² +σy sin² 0 + Txy (2 sin 0 cos 0)
Tx'y' = (σy — σx) sin 0 cos 0 + Txy (cos² 0 – sin² 0)
-
Using the trigonometric identities
Figure
Oy
-
6 of 6
Part D - Clockwise Rotation of a Stress Element with No Shear Stress
The state of stress at a point in a member is shown on the rectangular stress element in (Figure 6) where the
magnitudes of the stresses are |σx | = 29 ksi and |σy| = 26 ksi.
Determine the state of stress on an element rotated such that the +x' axis is 20° below the -x axis of the original
stress element.
Express your answers, separated by commas, to three significant figures.
▸ View Available Hint(s)
σ =σy, Tx'y' =
Submit
ΜΕ ΑΣΦ
↓↑
vec
?
ksi, ksi, ksi](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc8e0844-b7a6-4b83-bdd7-070e35b4aff9%2F319d0ecb-ad72-4747-a6a0-564f9335c780%2Fzwek2t4_processed.png&w=3840&q=75)
Transcribed Image Text:Balancing the sums of the forces in the primed
coordinate system yields two equations:
0x = 0x cos² +σy sin² 0 + Txy (2 sin 0 cos 0)
Tx'y' = (σy — σx) sin 0 cos 0 + Txy (cos² 0 – sin² 0)
-
Using the trigonometric identities
Figure
Oy
-
6 of 6
Part D - Clockwise Rotation of a Stress Element with No Shear Stress
The state of stress at a point in a member is shown on the rectangular stress element in (Figure 6) where the
magnitudes of the stresses are |σx | = 29 ksi and |σy| = 26 ksi.
Determine the state of stress on an element rotated such that the +x' axis is 20° below the -x axis of the original
stress element.
Express your answers, separated by commas, to three significant figures.
▸ View Available Hint(s)
σ =σy, Tx'y' =
Submit
ΜΕ ΑΣΦ
↓↑
vec
?
ksi, ksi, ksi
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.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Structural Analysis](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![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
![Structural Analysis](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![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
![Fundamentals of Structural Analysis](https://www.bartleby.com/isbn_cover_images/9780073398006/9780073398006_smallCoverImage.gif)
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
![Sustainable Energy](https://www.bartleby.com/isbn_cover_images/9781337551663/9781337551663_smallCoverImage.gif)
![Traffic and Highway Engineering](https://www.bartleby.com/isbn_cover_images/9781305156241/9781305156241_smallCoverImage.jpg)
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning