A beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E= 200 GPa. The be axis. A couple of moment equal to the full plastic moment Mp is applied and then removed. Using a yield strength determine the residual stress at y = 45 mm. C 30 mm 30 imm 30 inm
A beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E= 200 GPa. The be axis. A couple of moment equal to the full plastic moment Mp is applied and then removed. Using a yield strength determine the residual stress at y = 45 mm. C 30 mm 30 imm 30 inm
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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![**Problem Description:**
A beam of the cross-section shown is made of a steel that is assumed to be elastoplastic with \( E = 200 \, \text{GPa} \). The bending is about the z-axis. A couple of moment equal to the full plastic moment \( M_p \) is applied and then removed. Using a yield strength of 236 MPa, determine the residual stress at \( y = 45 \, \text{mm} \).
**Diagram Explanation:**
The diagram displays a cross-section of the beam with dimensions indicated:
- The overall height of the beam is 90 mm, divided into three segments of 30 mm each.
- The width is 15 mm on either side and 30 mm in the central segment.
The cross-section is symmetrical about the y-axis, and the bending occurs around the z-axis that is perpendicular to the length of the rectangle.
**Calculation:**
(Fill in calculation details here, which can be derived based on the information provided and using principles of elastoplastic behavior and bending stress distribution.)
**Answer:**
The residual stress is \( \boxed{} \) MPa.
(Note: Insert the numerical value obtained from the detailed calculation in the box, if performed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5d720e68-4285-464d-8dda-3c1128b35873%2F842a3001-46e1-44f9-88e9-8df974e506b3%2Fvo3n3kt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
A beam of the cross-section shown is made of a steel that is assumed to be elastoplastic with \( E = 200 \, \text{GPa} \). The bending is about the z-axis. A couple of moment equal to the full plastic moment \( M_p \) is applied and then removed. Using a yield strength of 236 MPa, determine the residual stress at \( y = 45 \, \text{mm} \).
**Diagram Explanation:**
The diagram displays a cross-section of the beam with dimensions indicated:
- The overall height of the beam is 90 mm, divided into three segments of 30 mm each.
- The width is 15 mm on either side and 30 mm in the central segment.
The cross-section is symmetrical about the y-axis, and the bending occurs around the z-axis that is perpendicular to the length of the rectangle.
**Calculation:**
(Fill in calculation details here, which can be derived based on the information provided and using principles of elastoplastic behavior and bending stress distribution.)
**Answer:**
The residual stress is \( \boxed{} \) MPa.
(Note: Insert the numerical value obtained from the detailed calculation in the box, if performed.)
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