Asolid cylinder of cortical bone has a length of 500mm, diameter of 2cm and a young’s modulus of 17.4gpa. determine the spring constant ‘k’. explain.

The spring constant k is

Solution:

As per the question:

Length of the solid cylinder, L = 500 mm =

Diameter pf the cylinder, D = 2 cm = 0.02 m

As the radius is half the diameter,

Radius, R = 1 cm = 0.01 m

Young's Modulus, E = 17.4 GPa =

Now,

The relation between spring constant, k and Young's modulus:

where

A = Area

Area of solid cylinder, A =

k =

Young's modulus, E is the ratio of stress and strain

And

Stress =

Strain =

Also

Force on a spring is - kL

Therefore, we utilized these relations in calculating the spring constant.

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