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Engineering and Tech / Materials Science and Engineering: An Introduction 9 / Chapter 6 / Problem 6.15

Materials Science and Engineering: An Introduction | 9th Edition | ISBN: 9781118324578 | Authors: William Callister

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A cylindrical specimen of steel having a diameter of 15.2

Chapter 6, Problem 6.15

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QUESTION:

A cylindrical specimen of steel having a diameter of 15.2 mm (0.60 in.) and length of 250 mm (10.0 in.) is deformed elastically in tension with a force of 48,900 N (11,000 lbf). Using the data contained in Table 6.1, determine the following: (a) The amount by which this specimen will elongate in the direction of the applied stress. (b) The change in diameter of the specimen. Will the diameter increase or decrease?

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QUESTION:

A cylindrical specimen of steel having a diameter of 15.2 mm (0.60 in.) and length of 250 mm (10.0 in.) is deformed elastically in tension with a force of 48,900 N (11,000 lbf). Using the data contained in Table 6.1, determine the following: (a) The amount by which this specimen will elongate in the direction of the applied stress. (b) The change in diameter of the specimen. Will the diameter increase or decrease?

ANSWER:

Step 1 of 3

Given data:

The original diameter of the cylindrical specimen,

The original length of the cylindrical specimen,

The tensile force on the specimen,

Obtain the value of modulus of Elasticity and Poison's ratio from the table.

The modulus of Elasticity,

The poisson's ratio is,

Calculate the area of cross-section of the cylindrical specimen.

Calculate the stress on the specimen.

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