Question

Which of the following is the relationship between the elastic constants Young's modulus E, Modulus of rigidity G and Bulk modulus K?

• A. E = KG/(K + G)
• B. E = 9KG/(3K + G)
• C. E = 2KG/(3K + G
• D. E = 3KG/(3K + G)

Answer 1

Answer:

B. E = 9KG/(3K + G)

$E =\frac {9KG}{3K + G}$

Where Young's Modulus = E, Shear Modulus = G, Bulk Modulus = K.

Other relationships are E = 2G(1 + μ) and E = 3K(1 - 2μ) where μ is Poisson's ratio.