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Section 3 Stress-Strain Relationships The relationship between stress and deformation will be covered in this section, and some of the important elastic material properties such as Young’s modulus and the modulus of rigidity will be defined. ©  Loughborough University 2010. This work is licensed under a  Creative Commons Attribution 2.0 Licence .
Contents ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Introduction ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Young’s Modulus ,[object Object],[object Object]
Deformation of a Bar ,[object Object],[object Object]
Example 3.1 ,[object Object],Answer:   =0.11 mm
Young’s Modulus for Bars in Compression ,[object Object],[object Object],[object Object],[object Object]
Example 3.2 ,[object Object],Answer: P=1126 kN
Poisson’s Ratio ,[object Object],[object Object],[object Object],[object Object],L L ′  x /2 P x P x x y
Example 3.3 ,[object Object],Answer:   y =-0.4%
Hooke’s Law ,[object Object],[object Object],[object Object],[object Object],x y z
Shear Stress-Strain Relationship ,[object Object],[object Object],[object Object],[object Object]
Example 3.4 ,[object Object],Answer: (a)   xy =0.72º (b) P=45 kN 150mm 40mm P P y x 0.5mm
Volumetric (Dilatational) Strain ,[object Object],[object Object],[object Object],[object Object],[object Object]
Bulk Modulus ,[object Object],[object Object],[object Object],[object Object]
This resource was created by Loughborough University and released as an open educational resource through the Open Engineering Resources project of the HE Academy Engineering Subject Centre. The Open Engineering Resources project was funded by HEFCE and part of the JISC/HE Academy UKOER programme. © 2010 Loughborough University. Except where otherwise noted this work is licensed under a  Creative Commons Attribution 2.0 Licence .  The name of Loughborough University, and the Loughborough University logo are the name and registered marks of Loughborough University. To the fullest extent permitted by law Loughborough University reserves all its rights in its name and marks, which may not be used except with its written permission. The JISC logo is licensed under the terms of the Creative Commons Attribution-Non-Commercial-No Derivative Works 2.0 UK: England & Wales Licence.  All reproductions must comply with the terms of that licence. The HEA logo is owned by the Higher Education Academy Limited may be freely distributed and copied for educational purposes only, provided that appropriate acknowledgement is given to the Higher Education Academy as the copyright holder and original publisher. Credits

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Structures and Materials- Section 3 Stress-Strain Relationships

  • 1. Section 3 Stress-Strain Relationships The relationship between stress and deformation will be covered in this section, and some of the important elastic material properties such as Young’s modulus and the modulus of rigidity will be defined. © Loughborough University 2010. This work is licensed under a Creative Commons Attribution 2.0 Licence .
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16. This resource was created by Loughborough University and released as an open educational resource through the Open Engineering Resources project of the HE Academy Engineering Subject Centre. The Open Engineering Resources project was funded by HEFCE and part of the JISC/HE Academy UKOER programme. © 2010 Loughborough University. Except where otherwise noted this work is licensed under a Creative Commons Attribution 2.0 Licence . The name of Loughborough University, and the Loughborough University logo are the name and registered marks of Loughborough University. To the fullest extent permitted by law Loughborough University reserves all its rights in its name and marks, which may not be used except with its written permission. The JISC logo is licensed under the terms of the Creative Commons Attribution-Non-Commercial-No Derivative Works 2.0 UK: England & Wales Licence.  All reproductions must comply with the terms of that licence. The HEA logo is owned by the Higher Education Academy Limited may be freely distributed and copied for educational purposes only, provided that appropriate acknowledgement is given to the Higher Education Academy as the copyright holder and original publisher. Credits