The image above represents bulk modulus of elasticity (E).

To compute for bulk modulus of elasticity (E), two essential parameters are needed and these parameters are **young’s modulus (E) **and **Poisson’s ratio (v).**

The formula for calculating the bulk modulus of elasticity (E):

k = ^{E} / _{3(1 – 2v)}

Where:

k = Bulk Modulus of Elasticity (E)

E = Young’s Modulus

v = Poisson’s Ratio

Let’s solve an example;

Find the bulk modulus of elasticity (E) when the young’s modulus is 66 and the Poisson’s ratio is 58.

This implies that;

E = Young’s Modulus = 66

v = Poisson’s Ratio = 58

k = ^{E} / _{3(1 – 2v)}

k = ^{66} / _{3(1 – 2(58))}

k = ^{66} / _{3(1 – 116)}

k = ^{66} / _{3(-115)}

k = ^{66} / _{-345}

k = -0.19

Therefore, the **bulk modulus of elasticity (E) **is **-0.19.**

**Calculating the Young’s Modulus when the Bulk Modulus of Elasticity (E) and the Poisson’s Ratio is Given.**

E = k (3 – 6v)

Where:

E = Young’s Modulus

k = Bulk Modulus of Elasticity (E)

v = Poisson’s Ratio

Let’s solve an example;

Find the young’s modulus when the bulk modulus of elasticity (E) is 22 and the Poisson’s ratio is 18.

This implies that;

k = Bulk Modulus of Elasticity (E) = 22

v = Poisson’s Ratio = 18

E = k (3 – 6v)

E = 22 (3 – 6(18))

E = 22 (3 – 108)

E = 22 (-105)

E = -2376

Therefore, the **young’s modulus **is **-2376.**

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