A 920-mm (L) strip of steel (E= 200 GPa) is bent into a full circle by two couples applied as shown. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Educational Exercise: Analyzing Stress in a Bent Steel Strip

#### Problem Statement

A 920-mm (L) strip of steel with an elastic modulus \( E = 200 \) GPa is bent into a full circle by two applied couples. This is a multi-part question, and once submitted, you cannot return to this part of the question.

#### Diagram Explanation

- The circular bending of the steel strip is illustrated. The couples, denoted as \( M' \) and \( M \), are applied in opposite directions at the ends of the circular strip.
- A cross-section of the strip highlights its uniform thickness \( t \).
- The radius \( r \) of the circle formed by bending is implied from the full circular form.
- A detailed view of the cross-section shows an 8 mm width of the strip and a variable thickness \( t \).

#### Task

Determine the maximum allowable thickness \( t \) of the strip if the allowable stress in the steel is 420 MPa.

#### Calculation

- **Required Input:** Maximum thickness \( t \) of the steel strip.
- **Output Format:** "The maximum thickness \( t \) of the strip is _____ mm."

Complete the calculations and provide your answer for the thickness \( t \).
Transcribed Image Text:### Educational Exercise: Analyzing Stress in a Bent Steel Strip #### Problem Statement A 920-mm (L) strip of steel with an elastic modulus \( E = 200 \) GPa is bent into a full circle by two applied couples. This is a multi-part question, and once submitted, you cannot return to this part of the question. #### Diagram Explanation - The circular bending of the steel strip is illustrated. The couples, denoted as \( M' \) and \( M \), are applied in opposite directions at the ends of the circular strip. - A cross-section of the strip highlights its uniform thickness \( t \). - The radius \( r \) of the circle formed by bending is implied from the full circular form. - A detailed view of the cross-section shows an 8 mm width of the strip and a variable thickness \( t \). #### Task Determine the maximum allowable thickness \( t \) of the strip if the allowable stress in the steel is 420 MPa. #### Calculation - **Required Input:** Maximum thickness \( t \) of the steel strip. - **Output Format:** "The maximum thickness \( t \) of the strip is _____ mm." Complete the calculations and provide your answer for the thickness \( t \).
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