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4 September, 22:06

A cylindrical specimen of brass that has a diam - eter of 20 mm, a tensile modulus of 110 GPa, and a Poisson's ratio of 0.35 is pulled in tension with force of 40,000 N. If the deformation is totally elas - tic, what is the strain experienced by the specimen?

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  1. 4 September, 22:23
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    strain = 0.0011575

    Explanation:

    Given:

    - The diameter of specimen d = 0.02 m

    - Applied uni-axial force P = 40,000 N

    - Modulus of Elasticity E = 110 GPa

    Find:

    If the deformation is totally elastic, what is the strain experienced by the specimen?

    Solution:

    - First we need to calculate the stress in the specimen using the relation:

    stress = Force / Area

    stress = 40,000*4 / pi*d^2

    stress = 160,000 / pi*0.02^2

    stress = 127.323 MPa

    - Now compute Elastic strain from the definition of Elastic modulus of a material:

    E = stress / strain

    strain = stress / E

    - Plug in the values:

    strain = 127.323 / 110*10^3

    strain = 0.0011575
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