Finding Shear Modulus for Θ = LT/JG Equation

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SUMMARY

The discussion centers on using the Θ = LT/JG equation to determine the angle of twist in an I-section beam for a steel monorail. The shear modulus (G) is material-dependent, with a typical value for bridge steel estimated at 80 GPa, based on a range of 79 GPa to 84 GPa. Participants emphasize the importance of sourcing accurate material properties from certified suppliers or strength testing, rather than relying on generic online values. For isotropic materials, G can be calculated using the formula G = E / (2(1 + ν)), where E is the modulus of elasticity and ν is Poisson's ratio.

PREREQUISITES
  • Understanding of the Θ = LT/JG equation for beam analysis
  • Familiarity with shear modulus and its significance in material mechanics
  • Knowledge of material properties, specifically for steel
  • Basic concepts of isotropic materials and their mechanical properties
NEXT STEPS
  • Research the properties of different types of steel used in engineering applications
  • Learn how to calculate shear modulus from modulus of elasticity and Poisson's ratio
  • Explore material strength testing methods for accurate property determination
  • Study the implications of using incorrect material properties in engineering design
USEFUL FOR

Engineering students, structural engineers, and professionals involved in material selection and analysis for construction projects.

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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