Finding Shear Modulus for Θ = LT/JG Equation

In summary, Θ = LT/JG equation can be used to find the angle of twist in an I section beam to be used in a monorail. G is material dependent and should be determined from values from material strength testing or some certified source.
  • #1
Rush147
7
0
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 :eek:)

Thank you
 
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  • #2
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
 
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  • #3
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 :eek:)
 
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  • #4
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.
 
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  • #5
If you are using an isotropic material, you can calculate G from the usual knowns, E and [tex]\nu[/tex]:

[tex]G =\frac{E}{2(1+\nu)}[/tex]
 

What is shear modulus and why is it important in the Θ = LT/JG equation?

Shear modulus is a measure of a material's resistance to deformation by shear stress. In the Θ = LT/JG equation, it is used to calculate the angular displacement of a material under a given torque.

How do you find the shear modulus for a material?

The shear modulus can be found by dividing the shear stress by the shear strain. It can also be calculated using the Θ = LT/JG equation, where Θ is the angular displacement, L is the length of the material, T is the applied torque, J is the polar moment of inertia, and G is the shear modulus.

What is the significance of the Θ = LT/JG equation in material science?

The Θ = LT/JG equation is used to determine the angular displacement of a material under a given torque. This is important in material science because it allows us to understand how a material will behave under different forces and to design structures that can withstand these forces.

How is the shear modulus related to other material properties?

The shear modulus is related to other material properties such as Young's modulus, Poisson's ratio, and bulk modulus. It is also related to the elastic modulus, which is a measure of a material's ability to deform and return to its original shape.

What are some real-world applications of the Θ = LT/JG equation?

The Θ = LT/JG equation has practical applications in various fields such as engineering, construction, and material science. It is used to design and analyze structures that are subjected to shear forces, such as bridges, buildings, and machine parts. It is also used to understand the behavior of materials under different forces and to develop new materials with specific properties.

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