A sample of concrete which is a cylinder 150 mm in diameter and 300 mm in...

A sample of concrete which is a cylinder 150 mm in diameter and 300 mm in length is placed in a test fixture. A load of 12,000 N is applied to the concrete specimen along the cylindrical axis and the length is observed to change 1 mm. Calculate Young's modulus in GPa.?

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Expert Solution

ANSWER :

GIVEN DATA : Cylinder Length (L) = 300 mm

Cylinder Diameter (d) = 150 mm => radius (r) = d/2 = 150/2 = 75 mm = 75 x 10^-3 m

Load (F) = 12000 N

Change in length (Lc) = 1 mm => final length = 301 mm

SO, STRAIN = (final length - original length)/original length = (301-300)/300 = 0.003333

AREA of a cylinder (A) = 2*Pi*r (r+L) = 2*3.14* 75 x 10^-3 (75 x 10^-3 +300 x 10^-3 ) = 0.1767 m²

Young`s modulus (E) = stress/strain = (Force/area) / strain = (12000 / 0.1767)/0.003333 = 203.75 GPa

So answer is E = 203.75 GPa

genius_generous answered 1 year ago

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