For the state of stress shown, determine the range of values of for which the magnitude of the shearing stress Tx'y' is equal to or less than 40 MPa. Given X = 100 MPa and Y= 45 MPa. The permissible ranges of 8 are °≤e≤ ≤ 0≤ X Tx'y 1° (Please enter the answers in ascending order.) (Please enter the answers in ascending order.) 0
For the state of stress shown, determine the range of values of for which the magnitude of the shearing stress Tx'y' is equal to or less than 40 MPa. Given X = 100 MPa and Y= 45 MPa. The permissible ranges of 8 are °≤e≤ ≤ 0≤ X Tx'y 1° (Please enter the answers in ascending order.) (Please enter the answers in ascending order.) 0
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
**Description:**
On the left, a square element is shown under a stress state with horizontal and vertical arrows indicating normal stresses \( X \) and \( Y \).
On the right, the same element is rotated by an angle \( \theta \). The new stress components on the rotated element are shown as \( \sigma_{x'} \), \( \sigma_{y'} \), and \( \tau_{x'y'} \).
The problem requires calculating the angles at which the shearing stress \( \tau_{x'y'} \) does not exceed 40 MPa.
**The permissible ranges of \( \theta \) are:**
\[
\_\ ^\circ \leq \theta \leq \_\ ^\circ \quad (\text{Please enter the answers in ascending order.})
\]
\[
\_\ ^\circ \leq \theta \leq \_\ ^\circ \quad (\text{Please enter the answers in ascending order.})
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5d720e68-4285-464d-8dda-3c1128b35873%2F387bd4a0-5dae-4437-a73e-9e311d868b26%2Fzlawpsd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For the state of stress shown, determine the range of values of \( \theta \) for which the magnitude of the shearing stress \( \tau_{x'y'} \) is equal to or less than 40 MPa. Given \( X = 100 \, \text{MPa} \) and \( Y = 45 \, \text{MPa} \).
**Description:**
On the left, a square element is shown under a stress state with horizontal and vertical arrows indicating normal stresses \( X \) and \( Y \).
On the right, the same element is rotated by an angle \( \theta \). The new stress components on the rotated element are shown as \( \sigma_{x'} \), \( \sigma_{y'} \), and \( \tau_{x'y'} \).
The problem requires calculating the angles at which the shearing stress \( \tau_{x'y'} \) does not exceed 40 MPa.
**The permissible ranges of \( \theta \) are:**
\[
\_\ ^\circ \leq \theta \leq \_\ ^\circ \quad (\text{Please enter the answers in ascending order.})
\]
\[
\_\ ^\circ \leq \theta \leq \_\ ^\circ \quad (\text{Please enter the answers in ascending order.})
\]
Expert Solution
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 3 steps
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
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning