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.

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.