Frictional force along tool rake face for given cutting and thrust forces, normal rake angle Calculator

✖Cutting Force is the force in the direction of cutting, the same direction as the cutting speed.ⓘ Cutting Force [F_cttng]			+10% -10%
✖Normal rake angle of tool is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane.ⓘ Normal Rake Angle of Tool [α_nrm]			+10% -10%
✖Force normal on workpiece is the resultant force of all the axial forces (F) acting on workpiece.ⓘ Force Normal on Workpiece [F_normal]			+10% -10%

✖Frictional Force on Sleeve refers to the force generated by two surfaces that contacts and slide against each other.ⓘ Frictional force along tool rake face for given cutting and thrust forces, normal rake angle [F_sleeve]

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Formula

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Frictional force along tool rake face for given cutting and thrust forces, normal rake angle

Formula

`"F"_{"sleeve"} = ("F"_{"cttng"}*(sin("α"_{"nrm"})))+("F"_{"normal"}*(cos("α"_{"nrm"})))`

Example

`"18.49979N"=("77N"*(sin("10°")))+("5.208N"*(cos("10°")))`

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Frictional force along tool rake face for given cutting and thrust forces, normal rake angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frictional Force on Sleeve = (Cutting Force*(sin(Normal Rake Angle of Tool)))+(Force Normal on Workpiece*(cos(Normal Rake Angle of Tool)))
F_sleeve = (F_cttng*(sin(α_nrm)))+(F_normal*(cos(α_nrm)))
This formula uses 2 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Frictional Force on Sleeve - (Measured in Newton) - Frictional Force on Sleeve refers to the force generated by two surfaces that contacts and slide against each other.
Cutting Force - (Measured in Newton) - Cutting Force is the force in the direction of cutting, the same direction as the cutting speed.
Normal Rake Angle of Tool - (Measured in Radian) - Normal rake angle of tool is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane.
Force Normal on Workpiece - (Measured in Newton) - Force normal on workpiece is the resultant force of all the axial forces (F) acting on workpiece.

STEP 1: Convert Input(s) to Base Unit

Cutting Force: 77 Newton --> 77 Newton No Conversion Required
Normal Rake Angle of Tool: 10 Degree --> 0.1745329251994 Radian (Check conversion here)
Force Normal on Workpiece: 5.208 Newton --> 5.208 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_sleeve = (F_cttng*(sin(α_nrm)))+(F_normal*(cos(α_nrm))) --> (77*(sin(0.1745329251994)))+(5.208*(cos(0.1745329251994)))

Evaluating ... ...

F_sleeve = 18.4997884580387

STEP 3: Convert Result to Output's Unit

18.4997884580387 Newton --> No Conversion Required

FINAL ANSWER

18.4997884580387 ≈ 18.49979 Newton <-- Frictional Force on Sleeve

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Cutting » Merchant Force Circle » Forces and Friction » Frictional force along tool rake face for given cutting and thrust forces, normal rake angle

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< 6 Forces and Friction Calculators

Coefficient of friction for given thrust force, cutting force and normal rake angle

Go Coefficient of Friction = (Thrust Force on Workpiece+Cutting Force*tan(Normal Rake Angle of Tool))/(Cutting Force-Thrust Force on Workpiece*tan(Normal Rake Angle of Tool))

Frictional force along tool rake face for given cutting and thrust forces, normal rake angle

Go Frictional Force on Sleeve = (Cutting Force*(sin(Normal Rake Angle of Tool)))+(Force Normal on Workpiece*(cos(Normal Rake Angle of Tool)))

Friction angle for given R of merchant circle, force along shear, shear, and normal rake angle

Go Friction Angle = (arccos(Force along shear plane/Resultant Force on Job))+Tool Rake Angle-Shearing Angle in Machining

Shear force acting on shear plane for given shear stress and area of shear plane

Go Shear Force on Job = Shear Stress on Workpiece*Area of the Shear Plane

Coefficient of Friction given Forces Normal and along Tool Rake Face

Go Coefficient of Friction = Force of Friction/Normal Force on Workpiece

Coefficient of friction for given friction angle

Go Coefficient of Friction = tan(Angle of Friction)

Frictional force along tool rake face for given cutting and thrust forces, normal rake angle Formula

Frictional Force on Sleeve = (Cutting Force*(sin(Normal Rake Angle of Tool)))+(Force Normal on Workpiece*(cos(Normal Rake Angle of Tool)))
F_sleeve = (F_cttng*(sin(α_nrm)))+(F_normal*(cos(α_nrm)))

What is Force Relationship in Orthogonal Cutting?

Merchant's Circle Diagram is constructed to ease the analysis of cutting forces acting during orthogonal (Two Dimensional) cutting of workpiece. Please refer to the topic for force relationship in orthogonal cutting.

what is Frictional force along tool rake face?

It is the frictional resistance of the tool against the motion of the chip. Force F is the frictional resistance of the tool against the motion of the chip and N is the force normal to the tool face.

How to Calculate Frictional force along tool rake face for given cutting and thrust forces, normal rake angle?

Frictional force along tool rake face for given cutting and thrust forces, normal rake angle calculator uses Frictional Force on Sleeve = (Cutting Force*(sin(Normal Rake Angle of Tool)))+(Force Normal on Workpiece*(cos(Normal Rake Angle of Tool))) to calculate the Frictional Force on Sleeve, Frictional force along tool rake face for given cutting and thrust forces, normal rake angle formula is defined using these relations. Please refer to Merchant theory. Frictional Force on Sleeve is denoted by F_sleeve symbol.

How to calculate Frictional force along tool rake face for given cutting and thrust forces, normal rake angle using this online calculator? To use this online calculator for Frictional force along tool rake face for given cutting and thrust forces, normal rake angle, enter Cutting Force (F_cttng), Normal Rake Angle of Tool (α_nrm) & Force Normal on Workpiece (F_normal) and hit the calculate button. Here is how the Frictional force along tool rake face for given cutting and thrust forces, normal rake angle calculation can be explained with given input values -> 117.5748 = (77*(sin(0.1745329251994)))+(5.208*(cos(0.1745329251994))).

FAQ

What is Frictional force along tool rake face for given cutting and thrust forces, normal rake angle?

Frictional force along tool rake face for given cutting and thrust forces, normal rake angle formula is defined using these relations. Please refer to Merchant theory and is represented as F_sleeve = (F_cttng*(sin(α_nrm)))+(F_normal*(cos(α_nrm))) or Frictional Force on Sleeve = (Cutting Force*(sin(Normal Rake Angle of Tool)))+(Force Normal on Workpiece*(cos(Normal Rake Angle of Tool))). Cutting Force is the force in the direction of cutting, the same direction as the cutting speed, Normal rake angle of tool is the angle of orientation of the tool's rake surface from the reference plane and measured on a normal plane & Force normal on workpiece is the resultant force of all the axial forces (F) acting on workpiece.

How to calculate Frictional force along tool rake face for given cutting and thrust forces, normal rake angle?

Frictional force along tool rake face for given cutting and thrust forces, normal rake angle formula is defined using these relations. Please refer to Merchant theory is calculated using Frictional Force on Sleeve = (Cutting Force*(sin(Normal Rake Angle of Tool)))+(Force Normal on Workpiece*(cos(Normal Rake Angle of Tool))). To calculate Frictional force along tool rake face for given cutting and thrust forces, normal rake angle, you need Cutting Force (F_cttng), Normal Rake Angle of Tool (α_nrm) & Force Normal on Workpiece (F_normal). With our tool, you need to enter the respective value for Cutting Force, Normal Rake Angle of Tool & Force Normal on Workpiece and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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