Mean Yield Shear Stress given Pressure on Entry Side Calculator

✖Pressure Acting at Entry is the force per unit area of Rollers on the sheet at the entry region.ⓘ Pressure Acting at Entry [P_e]			+10% -10%
✖Initial Thickness is the thickness of sheet before the rolling operation.ⓘ Initial Thickness [h_in]			+10% -10%
✖Thickness at Entry is defined as the thickness of stock at any point between entry and neutral point.ⓘ Thickness at Entry [h_e]			+10% -10%
✖Coefficient of Friction(μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.ⓘ Coefficient of Friction [μ_rp]			+10% -10%
✖H Factor at Entry Point on Workpiece is used in rolling calculations to account for the interaction between the material, the rollers, and the deformation process.ⓘ H Factor at Entry Point on Workpiece [H_in]			+10% -10%
✖Factor H at a Point on Workpiece is used in rolling calculations to account for the interaction between the material, the rollers, and the deformation process.ⓘ Factor H at a Point on Workpiece [H_x]			+10% -10%

✖Mean Yield Shear Stress represents the average shear stress at which the material begins to yield or undergo plastic deformation.ⓘ Mean Yield Shear Stress given Pressure on Entry Side [S_e]

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Formula

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Mean Yield Shear Stress given Pressure on Entry Side

Formula

`"S"_{"e"} = ("P"_{"e"}*"h"_{"in"}/"h"_{"e"})/(exp("μ"_{"rp"}*("H"_{"in"}-"H"_{"x"})))`

Example

`"4359.697"=("0.0000099N/mm²"*"3.5mm"/"0.011mm")/(exp("0.5"*("3.35"-"4")))`

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Mean Yield Shear Stress given Pressure on Entry Side Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Yield Shear Stress = (Pressure Acting at Entry*Initial Thickness/Thickness at Entry)/(exp(Coefficient of Friction*(H Factor at Entry Point on Workpiece-Factor H at a Point on Workpiece)))
S_e = (P_e*h_in/h_e)/(exp(μ_rp*(H_in-H_x)))
This formula uses 1 Functions, 7 Variables

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Mean Yield Shear Stress - Mean Yield Shear Stress represents the average shear stress at which the material begins to yield or undergo plastic deformation.
Pressure Acting at Entry - (Measured in Pascal) - Pressure Acting at Entry is the force per unit area of Rollers on the sheet at the entry region.
Initial Thickness - (Measured in Meter) - Initial Thickness is the thickness of sheet before the rolling operation.
Thickness at Entry - (Measured in Meter) - Thickness at Entry is defined as the thickness of stock at any point between entry and neutral point.
Coefficient of Friction - Coefficient of Friction(μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
H Factor at Entry Point on Workpiece - H Factor at Entry Point on Workpiece is used in rolling calculations to account for the interaction between the material, the rollers, and the deformation process.
Factor H at a Point on Workpiece - Factor H at a Point on Workpiece 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

Pressure Acting at Entry: 9.9E-06 Newton per Square Millimeter --> 9.9 Pascal (Check conversion here)
Initial Thickness: 3.5 Millimeter --> 0.0035 Meter (Check conversion here)
Thickness at Entry: 0.011 Millimeter --> 1.1E-05 Meter (Check conversion here)
Coefficient of Friction: 0.5 --> No Conversion Required
H Factor at Entry Point on Workpiece: 3.35 --> No Conversion Required
Factor H at a Point on Workpiece: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_e = (P_e*h_in/h_e)/(exp(μ_rp*(H_in-H_x))) --> (9.9*0.0035/1.1E-05)/(exp(0.5*(3.35-4)))

Evaluating ... ...

S_e = 4359.69653483937

STEP 3: Convert Result to Output's Unit

4359.69653483937 --> No Conversion Required

FINAL ANSWER

4359.69653483937 ≈ 4359.697 <-- Mean Yield Shear Stress

(Calculation completed in 00.020 seconds)

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< 4 Analysis at Entry Region Calculators

Pressure Acting on Rolls from Entry Side

Go Pressure Acting at Entry = Mean Yield Shear Stress*Thickness at Entry/Initial Thickness*exp(Coefficient of Friction*(2*sqrt(Radius of Roller/Final Thickness after Rolling)*atan(Angle made by Point Roll Center and Normal*sqrt(Radius of Roller/Final Thickness after Rolling))-2*sqrt(Radius of Roller/Final Thickness after Rolling)*atan(Angle of Bite*sqrt(Radius of Roller/Final Thickness after Rolling))))

Mean Yield Shear Stress given Pressure on Entry Side

Go Mean Yield Shear Stress = (Pressure Acting at Entry*Initial Thickness/Thickness at Entry)/(exp(Coefficient of Friction*(H Factor at Entry Point on Workpiece-Factor H at a Point on Workpiece)))

Thickness of Stock at given Point on Entry Side

Go Thickness at Entry = (Pressure Acting at Entry*Initial Thickness)/(Mean Yield Shear Stress*exp(Coefficient of Friction*(H Factor at Entry Point on Workpiece-Factor H at a Point on Workpiece)))

Pressure on Rolls given H (Entry Side)

Go Pressure Acting at Entry = Mean Yield Shear Stress*Thickness at Entry/Initial Thickness*exp(Coefficient of Friction*(H Factor at Entry Point on Workpiece-Factor H at a Point on Workpiece))

Mean Yield Shear Stress given Pressure on Entry Side Formula

How does pressure on rolls vary?

The pressure on rolls starts from the entry point and continues to build up till the neutral point. Similarly the exit pressure is zero at the exit point and increases towards the neutral point. At any section i, between the entry point and exit point in the rolls.

How to Calculate Mean Yield Shear Stress given Pressure on Entry Side?

Mean Yield Shear Stress given Pressure on Entry Side calculator uses Mean Yield Shear Stress = (Pressure Acting at Entry*Initial Thickness/Thickness at Entry)/(exp(Coefficient of Friction*(H Factor at Entry Point on Workpiece-Factor H at a Point on Workpiece))) to calculate the Mean Yield Shear Stress, The Mean yield shear stress given pressure on entry side is the mean of the varying yield shear stress that is continuously changing during rolling. Mean Yield Shear Stress is denoted by S_e symbol.

How to calculate Mean Yield Shear Stress given Pressure on Entry Side using this online calculator? To use this online calculator for Mean Yield Shear Stress given Pressure on Entry Side, enter Pressure Acting at Entry (P_e), Initial Thickness (h_in), Thickness at Entry (h_e), Coefficient of Friction (μ_rp), H Factor at Entry Point on Workpiece (H_in) & Factor H at a Point on Workpiece (H_x) and hit the calculate button. Here is how the Mean Yield Shear Stress given Pressure on Entry Side calculation can be explained with given input values -> 4359.697 = (9.9*0.0035/1.1E-05)/(exp(0.5*(3.35-4))).

FAQ

What is Mean Yield Shear Stress given Pressure on Entry Side?

The Mean yield shear stress given pressure on entry side is the mean of the varying yield shear stress that is continuously changing during rolling and is represented as S_e = (P_e*h_in/h_e)/(exp(μ_rp*(H_in-H_x))) or Mean Yield Shear Stress = (Pressure Acting at Entry*Initial Thickness/Thickness at Entry)/(exp(Coefficient of Friction*(H Factor at Entry Point on Workpiece-Factor H at a Point on Workpiece))). Pressure Acting at Entry is the force per unit area of Rollers on the sheet at the entry region, Initial Thickness is the thickness of sheet before the rolling operation, Thickness at Entry is defined as the thickness of stock at any point between entry and neutral point, Coefficient of Friction(μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it, H Factor at Entry Point on Workpiece is used in rolling calculations to account for the interaction between the material, the rollers, and the deformation process & Factor H at a Point on Workpiece is used in rolling calculations to account for the interaction between the material, the rollers, and the deformation process.

How to calculate Mean Yield Shear Stress given Pressure on Entry Side?

The Mean yield shear stress given pressure on entry side is the mean of the varying yield shear stress that is continuously changing during rolling is calculated using Mean Yield Shear Stress = (Pressure Acting at Entry*Initial Thickness/Thickness at Entry)/(exp(Coefficient of Friction*(H Factor at Entry Point on Workpiece-Factor H at a Point on Workpiece))). To calculate Mean Yield Shear Stress given Pressure on Entry Side, you need Pressure Acting at Entry (P_e), Initial Thickness (h_in), Thickness at Entry (h_e), Coefficient of Friction (μ_rp), H Factor at Entry Point on Workpiece (H_in) & Factor H at a Point on Workpiece (H_x). With our tool, you need to enter the respective value for Pressure Acting at Entry, Initial Thickness, Thickness at Entry, Coefficient of Friction, H Factor at Entry Point on Workpiece & Factor H at a Point 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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