Bite Angle Calculator

✖Height is the distance between base and the bottom of the roller pressing the material during the rolling process.ⓘ 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%

✖The bite angle refers to the maximum attainable angle between the roll radius at the first contact and the roll centers during rolling of metals.ⓘ Bite Angle [α_b]

⎘ Copy

👎

Formula

✖

Bite Angle

Formula

`"α"_{"b"} = acos(1-"h"/(2*"R"))`

Example

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

Calculator

LaTeX

Reset

👍

Download Mechanical Formula PDF PDF Image

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) - The bite angle refers to the maximum attainable angle between the roll radius at the first contact and the roll centers during rolling of metals.
Height - (Measured in Meter) - Height is the distance between base and the bottom of the roller pressing the material during 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.

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)

You are here -

Home » Engineering » Mechanical » Manufacturing » Rolling » Bite Angle

Credits

Created by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has created this Calculator and 4 more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< 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 in Rolling Analysis*(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 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 in Rolling Analysis)/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

Maximum Reduction in Thickness Possible

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

Bite Angle

Go Bite Angle = acos(1-Height/(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, the bite angle refers to the angle formed between the direction of the rolling force and a line perpendicular to the axis of the rolls. 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 -> 1721.099 = acos(1-0.0274/(2*0.102)).

FAQ

What is Bite Angle?

the bite angle refers to the angle formed between the direction of the rolling force and a line perpendicular to the axis of the rolls 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 base and the bottom of the roller pressing the material during the rolling process & The Roller Radius is the distance between the center and the point on the circumference of the roller.

How to calculate Bite Angle?

the bite angle refers to the angle formed between the direction of the rolling force and a line perpendicular to the axis of the rolls 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.

Home

FREE PDFs

🔍 Search