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    Yusf's Avatar
    Yusf Posts: 198, Reputation: 3
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    #1

    Aug 19, 2015, 12:52 AM
    Difference between 0.5×stress×strain and 0.5×k×e˛
    In my book, energy stored in a stretched spring or work done in stretching a spring is given as E=0.5ke˛

    On another page, it is given "you can calculate the energy stored per unit volume as energy=0.5×stress×strain"

    Both seem same to me. Is it so?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Aug 19, 2015, 05:17 AM
    They are related, but not exactly the same. Note that the units of the first equation is energy, which is measured in Newton-meters, or N-m. The second equation is in units of energy per unit volume, or N-m/m^3. So to calculate total potential energy given stress and strain you must multiply by the volume of the object (area times length).
    Yusf's Avatar
    Yusf Posts: 198, Reputation: 3
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    #3

    Aug 19, 2015, 05:36 AM
    Understood. Thanks!
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