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-   -   Transposing formulas? (https://www.askmehelpdesk.com/showthread.php?t=636128)

  • Feb 15, 2012, 12:37 AM
    ross1
    transposing formulas?
    I'm new to this game and the question probably isn't that hard but I can't make sense of it!
    here's the question & it's related to engineering
    "When in operation,the shafts are found to have stretched over 19mm diameter by 0.24mm. Caculate the actual stress in the shafts if E is 200GN/m2".
    Given E = stress/strain: strain = change in length/original: strain = 0.24/381 = 6.3 x 10 to the power minus 4.
    Transpose the formula first and show all workings
    If you can explain this to me I'd appreciate it. Thanks Ross
  • Feb 16, 2012, 01:24 PM
    ebaines
    Stress and strain are related by Young's modulus, E:

    E = =stress/strain.

    So to calculate stress given the strain and Young's modulus simply reaarrange to get:

    E x strain = stress.

    Here you know that E = 200 x 10^9 N/m^2, and strain = 6.3 x 10^(-4), so

    stress = 200 x 10^9N/m^2 x 6.3 x 10(-4) = 1.26 x 10^8 N/m^2

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