Bite Angle Calculator

✖Height is the distance between the lowest and highest points of a person, shape, object standing upright.ⓘ Height [h]			+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%

✖Bite Angle is the angle made by entry point, roll center and normal.ⓘ Bite Angle [α_b]

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Formula

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Bite Angle

Formula

`"α"_{"b"} = acos(1-"h"/(2*"R"))`

Example

`"30.03884°"=acos(1-"27.4mm"/(2*"102mm"))`

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Bite Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bite Angle = acos(1-Height/(2*Roller Radius))
α_b = acos(1-h/(2*R))
This formula uses 2 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)

Variables Used

Bite Angle - (Measured in Radian) - Bite Angle is the angle made by entry point, roll center and normal.
Height - (Measured in Meter) - Height is the distance between the lowest and highest points of a person, shape, object standing upright.
Roller Radius - (Measured in Meter) - The Roller Radius is the distance between the center and the point on the circumference of the roller.

STEP 1: Convert Input(s) to Base Unit

Height: 27.4 Millimeter --> 0.0274 Meter (Check conversion here)
Roller Radius: 102 Millimeter --> 0.102 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_b = acos(1-h/(2*R)) --> acos(1-0.0274/(2*0.102))

Evaluating ... ...

α_b = 0.52427663626508

STEP 3: Convert Result to Output's Unit

0.52427663626508 Radian -->30.0388385553102 Degree (Check conversion here)

FINAL ANSWER

30.0388385553102 ≈ 30.03884 Degree <-- Bite Angle

(Calculation completed in 00.004 seconds)

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Created by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has created this Calculator and 4 more calculators!

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< 2 Rolling Calculators

Roll Separating Force

Go Roll Separating Force = Length*Width*(1+Coefficient of Friction*Length/2*Height)

Bite Angle

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

< 10+ Rolling Analysis Calculators

Pressure Considering Rolling Similar to Plane-Strain-Upsetting Process

Go Pressure Acting while Rolling = Strip Width of Spiral Spring*(2*Flow Stress of Work Material)/sqrt(3)*(1+(Frictional Shear Factor*Roller Radius*pi/180*Bite Angle)/(2*(Thickness before Rolling+Thickness after Rolling)))*Roller Radius*pi/180*Bite Angle

Initial Stock Thickness given Pressure on Rolls

Go Initial Stock Thickness = (Mean Yield Shear Stress of Work Material*Thickness at given Point*exp(Friction Coefficient*(Factor H at Entry Point on Workpiece-Factor H in Rolling Calculation)))/Pressure Acting on Rolls

Factor H used in Rolling Calculations

Go Factor H in Rolling Calculation = 2*sqrt(Roller Radius/Thickness after Rolling)*atan(sqrt(Roller Radius/Thickness after Rolling))*Angle made by given Point Roll Center and Normal

Angle Subtended by Neutral Point

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))

Factor H at Neutral Point

Go Factor H at Neutral Point = (Factor H at Entry Point on Workpiece-ln(Thickness before Rolling/Thickness after Rolling)/Friction Coefficient)/2

Total Elongation of Stock

Go Total Stock or Workpiece Elongation = Initial Cross Sectional Area/Final Cross Sectional Area

Projected Area

Go Projected Area = Width*(Roller Radius*Change in Thickness)^0.5

Bite Angle

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

Maximum Reduction in Thickness Possible

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

Projected Length

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

Bite Angle Formula

Bite Angle = acos(1-Height/(2*Roller Radius))
α_b = acos(1-h/(2*R))

What is Bite Angle?

The maximum angle that can be attained between the roll radius at the first contact and the line of roll centers

How to Calculate Bite Angle?

Bite Angle calculator uses Bite Angle = acos(1-Height/(2*Roller Radius)) to calculate the Bite Angle, Bite Angle in rolling metals is where all the force is transmitted through the rolls, maximum attainable angle between roll radius at the first contact and the roll centers. If the operating angle is less, it is called the contact angle or roll angle. Bite Angle is denoted by α_b symbol.

How to calculate Bite Angle using this online calculator? To use this online calculator for Bite Angle, enter Height (h) & Roller Radius (R) and hit the calculate button. Here is how the Bite Angle calculation can be explained with given input values -> 1518.577 = acos(1-0.0274/(2*0.102)).

FAQ

What is Bite Angle?

Bite Angle in rolling metals is where all the force is transmitted through the rolls, maximum attainable angle between roll radius at the first contact and the roll centers. If the operating angle is less, it is called the contact angle or roll angle and is represented as α_b = acos(1-h/(2*R)) or Bite Angle = acos(1-Height/(2*Roller Radius)). Height is the distance between the lowest and highest points of a person, shape, object standing upright & The Roller Radius is the distance between the center and the point on the circumference of the roller.

How to calculate Bite Angle?

Bite Angle in rolling metals is where all the force is transmitted through the rolls, maximum attainable angle between roll radius at the first contact and the roll centers. If the operating angle is less, it is called the contact angle or roll angle is calculated using Bite Angle = acos(1-Height/(2*Roller Radius)). To calculate Bite Angle, you need Height (h) & Roller Radius (R). With our tool, you need to enter the respective value for Height & Roller Radius 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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