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8 August, 08:48

In Problem 1, the rake angle was changed to a neutral rake angle. If the friction angle remains the same, determine: (a) the shear plane angle (b) the chip thickness (c) the shear strain for the operation.

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  1. 8 August, 08:55
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    Answer: seen in the explanations

    Explanation:

    Since no values for this problem is given, I will just give the formulas to solve the problem in mechanics of orthogonal plane cutting.

    a) shear plane angle will be calculated using:

    tan ϕ = r Cos α / 1 - r sin α

    Where:

    r = chip thickness ratio

    α = rake angle

    ϕ = shear angle.

    B) chip thickness

    To get the chip thickness, we must calculate the chip thickness ratio using the formula:

    Rt = Lc / L

    Where:

    Lc = length of chip formed

    L = uncut chip length.

    Use the answer to solve for chip thickness with the formula;

    Tc = t / Rt

    Where:

    t = depth of cut

    Rt = chip thickness ratio

    C) shear strain for the operation will be solved using;

    ε = cot β• + tan β•

    Where:

    ε = shear strain

    β• = orthogonal shear angle.
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