20) A cylindrical specimen (diameter=54.7 mm;
length=110mm) of basalt shows linear elastic behavior under uniaxial
compression. At an axial stress of 100 mega Pascal (MPa) the absolute value of
the measured axial strain is 0.2%. The young’s modules is calculated to
be_____GigaPascal (GPa).
(Thanks to Chandrasekhar, ANU)
Solution:
Given that the Axial stress= 100 Mega Pascal=100*106 Pascal
Axial
strain = 0.2%=0.002
Then the Young’s modulus (E) = $\frac{Axial
Stress}{Axial Starin}$
$=\frac{100\times 10^{6}Pascal}{0.002}$
$=\frac{100\times 10^{6}Pascal}{2\times 10^{-3} }$
$=50\times 10^{9} Pascal$
$=50 Giga Pascal$
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