Shear Stress of a particular length rod

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SUMMARY

The yield strength of stainless steel is established at 520 MPa, which is a measure of stress that does not depend on the length of the rod but rather on its cross-sectional area. To calculate the yield strength for a 100mm long rod with a diameter of 10mm, one must consider the applied stress, the mechanical properties of the material, and the rod's geometry. The Young's modulus for stainless steel is essential for determining deformation, and resources such as Clag's beam menu and Granta Design's elastic solutions provide further insights into these calculations.

PREREQUISITES
  • Understanding of yield strength and its significance in materials science
  • Familiarity with the concept of stress and its units, specifically MPa
  • Knowledge of Young's modulus and its application in deformation calculations
  • Basic principles of geometry as they relate to cross-sectional area
NEXT STEPS
  • Research the calculation of stress using the formula: Stress = Force / Area
  • Learn about the relationship between yield strength and cross-sectional area in materials
  • Explore the concept of aspect ratio in beam theory and its implications for deformation
  • Investigate the use of finite element analysis (FEA) for stress and deformation simulations
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Engineers, materials scientists, and students studying mechanical properties of materials, particularly those working with stainless steel and structural analysis of rods and beams.

pukey123
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Just a quick question:

Wikipedia tells me that due the shearing stress, the yeild strength of Stainless Steel is 520Mpa

But how can i find out the Yeild strength of a 100mm long rod with diameter 10mm.

Is the info for wikipedia based on a 1mx1mx1m cube? or some sort of SI unit.

Cheers
 
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The stress doesn't depend on the length of the rod - it only depend son the cross section area.
Mpa is mega pascal - is a unit of pressure, 1 pa is one Newton/m^2
So 1Mpa is around 100,000 Kg/m^2, or 145psi
 
i see, but the what cross section area are the stresses relating to? and does it also depend on the shape?

If i see the value of 520MPA in a book for s steel, how can i use that to aplly it to a rod with a given diameter?
 
Calculating the deformation of a rod requires three things- the applied stress, the mechanical properties of the rod, and the geometry of the rod. All you have right now is (I'm guessing) the Young's modulus for a particular type of stainless steel and the geometry of the rod.

Try surfing through these, see if it helps:

http://www.clag.org.uk/beam-menu.html
http://www.mhhe.com/engcs/engmech/beerjohnston/mom/lectureppt.mhtml
http://www.grantadesign.com/resources/shapes/solutions/elastic.htm

Note- thin beams have a simple approximate solution. Yours, with an aspect ratio of 10, may or may not be amenable to that approximation.
 

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