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Physics / Classical Mechanics 0 / Chapter 16 / Problem 16.26

Classical Mechanics | 0th Edition | ISBN: 9781891389221 | Authors: John R Taylor

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The table below gives the three elastic moduli for several

Chapter 16, Problem 16.26

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QUESTION:

The table below gives the three elastic moduli for several materials. According to (16.100) Young's modulus for any given material can be calculated if we know the bulk and shear moduli. Using the data for BM and SM, calculate YM for each of the materials and compare with the given values in the third column. (The densities will be needed for 16.32.) Elastic Moduli (in GPa) and Densities (in g/cm3) Material BM SM YM Iron 90 40 100 7.8 Steel 140 80 200 7.8 Sandstone 17 6 16 1.9 Perovskite 270 150 390 4.1 Water 2.2 0 0 1.0

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QUESTION:

The table below gives the three elastic moduli for several materials. According to (16.100) Young's modulus for any given material can be calculated if we know the bulk and shear moduli. Using the data for BM and SM, calculate YM for each of the materials and compare with the given values in the third column. (The densities will be needed for 16.32.) Elastic Moduli (in GPa) and Densities (in g/cm3) Material BM SM YM Iron 90 40 100 7.8 Steel 140 80 200 7.8 Sandstone 17 6 16 1.9 Perovskite 270 150 390 4.1 Water 2.2 0 0 1.0

ANSWER:

Step 1 of 6

The Young's modulus is related to the bulk modulus and the strain modulus as,

Where is Young's modulus, is the Bulk modulus, and is the strain modulus.

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