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Angle Subtended by Neutral Point Calculator

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Rolling Analysis Analysis at Entry Region Analysis at Exit Region

✖Thickness after Rolling is the final thickness of the workpiece after the rolling process.ⓘ Thickness after Rolling [h_fi]			+10% -10%
✖The Roller Radius is the distance between the center and the point on the circumference of the roller.ⓘ Roller Radius [R]			+10% -10%
✖Factor H at Neutral Point is used in rolling calculations to account for the interaction between the material, the rollers, and the deformation process.ⓘ Factor H at Neutral Point [H_n]			+10% -10%

✖The angle subtended at neutral point refers to the maximum attainable angle between the roll radius at the first contact and the roll centers during rolling of metals.ⓘ Angle Subtended by Neutral Point [φ_n]

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Angle Subtended by Neutral Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle subtended at Neutral Point = sqrt(Thickness after Rolling/Roller Radius)*tan(Factor H at Neutral Point/2*sqrt(Thickness after Rolling/Roller Radius))
φ_n = sqrt(h_fi/R)*tan(H_n/2*sqrt(h_fi/R))
This formula uses 2 Functions, 4 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Angle subtended at Neutral Point - (Measured in Radian) - The angle subtended at neutral point refers to the maximum attainable angle between the roll radius at the first contact and the roll centers during rolling of metals.
Thickness after Rolling - (Measured in Meter) - Thickness after Rolling is the final thickness of the workpiece after the rolling process.
Roller Radius - (Measured in Meter) - The Roller Radius is the distance between the center and the point on the circumference of the roller.
Factor H at Neutral Point - Factor H at Neutral Point is used in rolling calculations to account for the interaction between the material, the rollers, and the deformation process.

STEP 1: Convert Input(s) to Base Unit

Thickness after Rolling: 7.2 Millimeter --> 0.0072 Meter (Check conversion here)
Roller Radius: 102 Millimeter --> 0.102 Meter (Check conversion here)
Factor H at Neutral Point: 2.617882 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ_n = sqrt(h_fi/R)*tan(H_n/2*sqrt(h_fi/R)) --> sqrt(0.0072/0.102)*tan(2.617882/2*sqrt(0.0072/0.102))

Evaluating ... ...

φ_n = 0.0963101084825006

STEP 3: Convert Result to Output's Unit

0.0963101084825006 Radian -->5.51816274049543 Degree (Check conversion here)

FINAL ANSWER

5.51816274049543 ≈ 5.518163 Degree <-- Angle subtended at Neutral Point

(Calculation completed in 00.021 seconds)

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Angle Subtended by Neutral Point

LaTeX Go Angle subtended at Neutral Point = sqrt(Thickness after Rolling/Roller Radius)*tan(Factor H at Neutral Point/2*sqrt(Thickness after Rolling/Roller Radius))

Maximum Reduction in Thickness Possible

LaTeX Go Change in Thickness = Friction Coefficient in Rolling Analysis^2*Roller Radius

Bite Angle

LaTeX Go Bite Angle = acos(1-Height/(2*Roller Radius))

Projected Length

LaTeX Go Projected Length = (Roller Radius*Change in Thickness)^0.5

Angle Subtended by Neutral Point Formula

LaTeX Go

Angle subtended at Neutral Point = sqrt(Thickness after Rolling/Roller Radius)*tan(Factor H at Neutral Point/2*sqrt(Thickness after Rolling/Roller Radius))
φ_n = sqrt(h_fi/R)*tan(H_n/2*sqrt(h_fi/R))

What is Neutral point?

Neutral point is that point where there is no slip between the work piece and the rolls and frictional forces between material and rollers are in equilibrium. To identify the neutral plane position, the two expressions for the roll pressure p– and p+ should be equated as the pressures from both ends peak at the neutral plane. As at entry the material is pulled in and roller is moving faster than material, but at exit material is pulled back and roller is moving slower than material.

How to Calculate Angle Subtended by Neutral Point?

Angle Subtended by Neutral Point calculator uses Angle subtended at Neutral Point = sqrt(Thickness after Rolling/Roller Radius)*tan(Factor H at Neutral Point/2*sqrt(Thickness after Rolling/Roller Radius)) to calculate the Angle subtended at Neutral Point, The Angle subtended by Neutral point formula is defined as the angle made by neutral point and line joining two roller centers. Angle subtended at Neutral Point is denoted by φ_n symbol.

How to calculate Angle Subtended by Neutral Point using this online calculator? To use this online calculator for Angle Subtended by Neutral Point, enter Thickness after Rolling (h_fi), Roller Radius (R) & Factor H at Neutral Point (H_n) and hit the calculate button. Here is how the Angle Subtended by Neutral Point calculation can be explained with given input values -> 316.1674 = sqrt(0.0072/0.102)*tan(2.617882/2*sqrt(0.0072/0.102)).

FAQ

What is Angle Subtended by Neutral Point?

The Angle subtended by Neutral point formula is defined as the angle made by neutral point and line joining two roller centers and is represented as φ_n = sqrt(h_fi/R)*tan(H_n/2*sqrt(h_fi/R)) or Angle subtended at Neutral Point = sqrt(Thickness after Rolling/Roller Radius)*tan(Factor H at Neutral Point/2*sqrt(Thickness after Rolling/Roller Radius)). Thickness after Rolling is the final thickness of the workpiece after the rolling process, The Roller Radius is the distance between the center and the point on the circumference of the roller & Factor H at Neutral Point is used in rolling calculations to account for the interaction between the material, the rollers, and the deformation process.

How to calculate Angle Subtended by Neutral Point?

The Angle subtended by Neutral point formula is defined as the angle made by neutral point and line joining two roller centers is calculated using Angle subtended at Neutral Point = sqrt(Thickness after Rolling/Roller Radius)*tan(Factor H at Neutral Point/2*sqrt(Thickness after Rolling/Roller Radius)). To calculate Angle Subtended by Neutral Point, you need Thickness after Rolling (h_fi), Roller Radius (R) & Factor H at Neutral Point (H_n). With our tool, you need to enter the respective value for Thickness after Rolling, Roller Radius & Factor H at Neutral Point 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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