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anonymous

  • one year ago

A water tank 3m in diameter and 6m high is made from a steel taving a thickness of 12mm. When tank is filled w/water determine the circumference stress. Det. the tank stressL at the buttom of the tank when it is filled w/water. if the circumference stress is limited to 5Mpa what is the max. height of the water?

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  1. Jack1
    • one year ago
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    Volume of tank = ? @patbigFat

  2. anonymous
    • one year ago
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    not stated sir ..

  3. Jack1
    • one year ago
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    nono... can u work it out please?

  4. Jack1
    • one year ago
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    |dw:1439458968517:dw|

  5. anonymous
    • one year ago
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    V=Pi x r ^2 x h ?

  6. Jack1
    • one year ago
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    yup

  7. anonymous
    • one year ago
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    is it 169.6464m?

  8. Jack1
    • one year ago
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    no

  9. Jack1
    • one year ago
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    what are u using for r?

  10. anonymous
    • one year ago
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    raduis sir?

  11. Jack1
    • one year ago
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    yeah... what number are u plugging into ur equation tho... for r?

  12. anonymous
    • one year ago
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    3 sir?

  13. Jack1
    • one year ago
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    no... 3 = diameter radius is half of diameter

  14. Jack1
    • one year ago
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    so give it another shot with r = 1.5 so V=??

  15. anonymous
    • one year ago
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    56.54 m3

  16. Jack1
    • one year ago
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    i got 42.41... how are u calculating this? 3.14159 x 1.5^2 x 6 =42.4115

  17. anonymous
    • one year ago
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    my mistake sorry ..

  18. Jack1
    • one year ago
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    all good dude now... surface area of inside of tank? = ??

  19. anonymous
    • one year ago
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    i tot when i sqr 1.5 = 3 so i did a manual calculating .... my bad....

  20. anonymous
    • one year ago
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    SA = 2 × pi × r2 + 2 × pi × r × h ?

  21. anonymous
    • one year ago
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    70.686 m^2 ?

  22. anonymous
    • one year ago
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    guyz help?

  23. IrishBoy123
    • one year ago
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    hoop stress \(\large \sigma_{\theta} = \frac{P \ D}{2t}\) D = 3, t = 12mm get pressure from bernoulli \(P = \rho g h\) h = 6 plug and play [if you know some calculus, the formula is deriveable; but i think it is also pretty standard for thin walled pressure vessels. been ages since i did this stuff.] you can get steel's material properties online, for the end bit you will need its tensile strength and the hoop stress is measured around the circumference , ie tangentially to the circle

  24. IrishBoy123
    • one year ago
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    actually you don't need to look at steel at all you are told "the circumference stress is limited to 5Mpa" so you are now solving h for a given \(\sigma_{\theta}\)

  25. anonymous
    • one year ago
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    Uhmm.m P=pgh by the way what's "pg" ?

  26. IrishBoy123
    • one year ago
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    \(\rho \equiv\) density of fluid, here water g \(\equiv\) gravity = \(9.8 m/s^2\)

  27. Jack1
    • one year ago
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    sorry guys, fell asleep last night

  28. Jack1
    • one year ago
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    howd u go with this?

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