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Consider a material with the stress-strain diagram shown where the yield point is 400 MPa (similar to a generic metal, but approximated to make the calculations easier). The material is stressed to 900 MPa. What is the change in the modulus of resilience? σ (MPa) 1200- 800- 400- a more realistic curve 0.10 0.20 0.30 0.40 ε

Consider a material with the stress-strain diagram shown where the yield point is 400 MPa (similar to a generic metal, but approximated to make the calculations easier). The material is stressed to 900 MPa. What is the change in the modulus of resilience? σ (MPa) 1200- 800- 400- a more realistic curve 0.10 0.20 0.30 0.40 ε

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Consider a material with the stress-strain diagram shown where the yield point is 400 MPa (similar to a generic metal, but approximated to make the calculations easier). The material is stressed to 900 MPa. What is the change in the modulus of resilience? **Graph Explanation:** - **Axes:** The graph shows stress (\(\sigma\)) on the vertical axis measured in megapascals (MPa) and strain (\(\varepsilon\)) on the horizontal axis. - **Stress-Strain Curve:** The curve starts at the origin and moves upwards, representing the elastic and plastic behavior of the material. - **Yield Point:** Occurs at 400 MPa, indicating the end of the elastic region. - **Curve:** The curve initially shows a linear increase, indicating elastic deformation. Then, it transitions into a more realistic curve, showing plastic deformation beyond the yield point. - **Material Stress Point:** The material is stressed to 900 MPa. - **Observation:** The curve peaks and begins a slight decline past the maximum stress, characteristic of strain hardening and necking in the material. The graph helps in assessing the material's modulus of resilience by analyzing the area under the elastic portion of the curve up to the yield point.
Transcribed Image Text:Consider a material with the stress-strain diagram shown where the yield point is 400 MPa (similar to a generic metal, but approximated to make the calculations easier). The material is stressed to 900 MPa. What is the change in the modulus of resilience? **Graph Explanation:** - **Axes:** The graph shows stress (\(\sigma\)) on the vertical axis measured in megapascals (MPa) and strain (\(\varepsilon\)) on the horizontal axis. - **Stress-Strain Curve:** The curve starts at the origin and moves upwards, representing the elastic and plastic behavior of the material. - **Yield Point:** Occurs at 400 MPa, indicating the end of the elastic region. - **Curve:** The curve initially shows a linear increase, indicating elastic deformation. Then, it transitions into a more realistic curve, showing plastic deformation beyond the yield point. - **Material Stress Point:** The material is stressed to 900 MPa. - **Observation:** The curve peaks and begins a slight decline past the maximum stress, characteristic of strain hardening and necking in the material. The graph helps in assessing the material's modulus of resilience by analyzing the area under the elastic portion of the curve up to the yield point.
Expert Solution
Step 1: given_data

Given : 

  • Yield stress sigma subscript y space equals space 400 space M P a (initial)
  • Material stressed upto sigma subscript f space equals space 900 space M P a (final)


To find : 

  • Change in modulus of resilience 
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