Finding Shear Modulus for Θ = LT/JG Equation

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Discussion Overview

The discussion revolves around finding the shear modulus (G) for use in the Θ = LT/JG equation, which calculates the angle of twist in an I section beam for a monorail application. Participants explore the sources and values for G, particularly in the context of steel materials.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant inquires about the source of the shear modulus (G) value needed for their assignment.
  • Another participant provides links to resources for finding shear modulus values and emphasizes that G is material-dependent, suggesting the use of certified sources for accurate values.
  • A participant mentions that they are using steel for the monorail and recalls a previous value of 80 GPa, noting a range of 79 GPa to 84 GPa found on a webpage, questioning if 80 GPa is appropriate.
  • Another participant agrees that 80 GPa is a reasonable estimate for typical bridge steel and stresses the importance of knowing the specific type of steel used for accurate property determination.
  • One participant introduces a formula to calculate G from Young's modulus (E) and Poisson's ratio (ν) for isotropic materials, suggesting a method to derive G if E and ν are known.

Areas of Agreement / Disagreement

Participants generally agree that 80 GPa is a reasonable estimate for the shear modulus of steel, but there is no consensus on the specific type of steel or the exact value to use, as it may vary based on the material's properties.

Contextual Notes

Participants express uncertainty regarding the specific type of steel and its corresponding shear modulus, highlighting the need for accurate material properties in engineering applications.

Rush147
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I have a question in an assignment and am using the Θ = LT/JG equation to find the angle of twist in an I section beam to be used in a monorail. I have all other figures to put in the equation but am not sure where i get G value from

Help :o)

Thank you
 
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This might help -

http://www.diracdelta.co.uk/science/source/s/h/shear modulus/source.html

http://www.efunda.com/formulae/solid_mechanics/mat_mechanics/elastic_constants_G_K.cfm

http://en.wikipedia.org/wiki/Shear_modulus (don't use these values for actual engineering design work - they are examples and should only be used for educational purposes). G is material dependent. Best to use values from materials strength testing or some certified source, such as the supplier of the material or structural component.

http://www.grantadesign.com/education/sciencenote.htm
 
Last edited by a moderator:
Thanks for your help. This is all new to me as I've been out of the learning chain for many years now and am finding it difficult to get my head around so many new formule at the same time. Its a steel monorail that we're using as an example so it would be made of steel but not sure which steel. Some friends have said that we have used 80GPa earlier on in equations but under a different heading. I have struggled to find any values but did find one page that gave a range of 79GPa-84GPa, so maybe this 80 is correct. Would that sound about right.

Thanks again...Hopefully i will get the hang of this soon :o)
 
Last edited:
Well, 80 GPa is probably a good estimate.

For a typical bridge steel -
http://www.matweb.com/search/datasheetText.aspx?bassnum=MS514L

See this reference - http://www.aisc.org/Template.cfm?Section=Bookstore&Template=/Ecommerce/ProductDisplay.cfm&Productid=2283


BUT, one should know what steel is being used and obtain the appropriate properties, unless this is a homework problem, and not a safety-related design matter.

When doing actual engineering design, one cannot leave anything to chance. An engineer must know his/her material, the intended service, and intended environment.
 
Last edited by a moderator:
If you are using an isotropic material, you can calculate G from the usual knowns, E and \nu:

G =\frac{E}{2(1+\nu)}
 

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