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CSIR-NET 2017 Dec 116


116. An earthquake occurring at every 100 years, leads to a displacement of 2 m over a 40 km long fault. The corresponding shear strain accumulation rate is 

Solution:

Stress: Force per unit area.

Strain: change in length / original length.


Shear Strain: Which are changes in the angular relationships between parts of a body.

Here i'm using Shear strain and strain are both are same. 

$ Shear Strain=\frac {change in length} {Original length} $

From above problem,

time = 100 years

displacement (change in length) =2 m

Original length = 40 km
                        = 40000m

$Shear Strain=\frac{ 2}{40000} $

Shear Strain = 0.00005

Therefore,

$rate=\frac{ Shear Strain}{time}$

$rate=\frac{ 0.00005}{100} $

$rate=0.5*10^{-6}$

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