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12 March, 20:41

An alloy to be used for a spring application must have a modulus resilience of at least 0.79 x 106 J/m3 (0.79 x 106 Pa). What must be its minimum yield strength (in MPa) ? Assume that the modulus of elasticity for this alloy is 102 GPa

Using Ur=Sig^2/2E, I am getting 401.447E6 Mpa but apparently thats wrong.

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  1. 12 March, 20:58
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    4.13 MPa

    Explanation:

    Given

    Modulus of elasticity = E = 102 GPa

    E = 102 * 10^9

    Modulus resilience U = 0.79 * 106Pa

    Modulus of Resilience U = y²/2E - - - Make y the subject of formula

    y² = 2EU

    y = √ (2EU)

    y = √ (2 * 102 * 10^9 * 0.79 * 106)

    y = √1.708296E13

    y = 4133153.759540044

    y = 4.13E6

    y = 4.13MPa
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