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E Young's Modulus of Intact Rock and its unit.

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Usmi09

Geotechnical
May 14, 2015
9
I calculated the young's Modulus of an intact Rock by UCS. Stress/Strain at max.
so what is it's proper unit when stress is kg/cm2 and strain in mm
and is it right if I put L length is cm and deflection in mm ( Delta L mm / Li cm) or its unit must be the same? ( both are mm) ?
 
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I have not yet worked with rocks but i think you should convert kg/cm² to kpa or Mpa and let mm as it is .
 
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modulus has units of F/L^2

f-d

ípapß gordo ainÆt no madre flaca!
 
Strain is not in units of length, mm, as it is the change in length (mm) divided by the original length (mm), hence mm/mm. That is why Young's Modulus is in the same units as the stress. (rather than length, you might think thickness).
 
Units must Always be coherent, cm with cm and mm with mm.

Anyway, you can check your value with tables, if it is a hard intact rock, young's modulus value should likely be in the order of a few GigaPascals up 20 GPa depending on rock type.

1 GPa = 10000 kg/cm2 = about 10000 tsf

 
be sure to use kgf (kilograms force)to avoid conversion errors in Mathcad.
 
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