Question

In: Advanced Math

The cutting ratio in an orthogonal cutting model is given by To/Tc = sinϕ/Cos(ϕ-α) What is:...

The cutting ratio in an orthogonal cutting model is given by To/Tc = sinϕ/Cos(ϕ-α)

What is:

ϕ = ?

α = ?

Expert Solution

Orthogonal Cutting Model

Orthogonal cutting uses a wedge-shaped tool in which the cutting edge is perpendicular to the direction of cutting speed.

Rake angle :- The rake angle α is the angle between the front or cutting face of the tool and a line perpendicular to the workpiece. In other words, the rake angle is the angle of the surface of a cutting tool tip over which the removed chips flow.

Shear plane :- As the tool is forced into the material, the chip is formed by shear deformation along a plane called the shear plane, which is oriented at an angle ϕ with the surface of the work as shown in the figure below---

The cutting ratio in an orthogonal cutting model is given by--

.

where--

ϕ = shear angle

and

α = rake angle

as shown in the figure above.

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Colby Messinger answered 2 years ago

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