Question

In regions of the cardiovascular system where there is steady laminar blood flow, the shear stress on cells lining the walls of the blood vessels is about 20 dyne/cm2. If the shear strain is about 0.008, estimate the shear modulus S for the affected cells. Note 1 dyne = 1 g.cm/s2 and 1 N = 10% dyne. II N/m2

Answer 1

The expression for shear modulus S is:

$S=\frac{\tau }{\gamma }$

Here, $\tau$ is shear stress, and $\gamma$ is a shear strain.

Given parameters are:

Shear stress on cells,

T= 20dyne/cm

Shear strain,

7=0.008

Substitute all the known values in the expression of shear modulus.

S = 20dyne/cm2 0,008

1dyne = 10-5N 1cm² = 10-4m2

Substitute the conversion factors in the above equation.

20 x 20 X 10-4 m2 10-5N S=- 0.008

S= 250N/m

Therefore, the value of the shear modulus is 250 N/m².

Hope my explanation is helpful to you. Any feedback will be appreciated.