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Math Help - using sin or cos in equ.

  1. #1
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    using sin or cos in equ.

    Hi All..

    Just wanted to know in the attached picture how would you know to use sin60 in the calculation when finding the force is there a method? why is in not cos60?

    (..the square is meant to be a material with a 15mm crack)

    Thank you
    Attached Thumbnails Attached Thumbnails using sin or cos in equ.-mhfsin.gif  
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  2. #2
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    HAI!!

    cOULD YOU send me the whole problem pls...?
    My idea is I think you should solve the force considering its x and y..
    since if you use sin 60, you could get the force with respect to the x - axis.
    I hope it would give you an idea..

    + April +
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  3. #3
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    Thanks

    Hey April

    Thanks for you reply..

    Yeah I wasn't sure weather to post on here as its more of an engineering question.. But I will post it up later today as it's abit late now and i'm very tried :P

    Take care
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  4. #4
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    A large steel plate under uniform applied tensile stress contains a crack, which is remote from the edges of the plate. The crack is 15mm (2a) in length and is inclined at an angle 60degrees to the applied stress (I have labeled this F in the attached picture). The fracture toughness (K) of the steel is 23MPam^1/2. Calculate the fracture stress ( \sigma_f) of the plate.

    Y, the geometric factor is 1 as the crack is not influenced by anything else. a, the crack length is 7.5mm since the crack has two tips.

     K = Y\sigma_f\sqrt{\pi{a}}

    and the solution is

     \sigma_f = \frac{23\times10^6}{\sin60\sqrt{\pi\times7.5\times  10^{-3}}}

    Yeah sorry I didn't post the whole question before.. here it is.. so I wanted to know why we use sin60 in the answer?

    Thank you
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