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Mean Yield Shear Stress using Pressure on Exit Side Formula

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Mean Yield Shear Stress at Exit represents the average shear stress at which the material begins to yield or undergo plastic deformation at the end of rolling. Check FAQs

S y = \frac{P rolls \cdot h ft}{h x \cdot \exp (μ r \cdot H)}

S_y - Mean Yield Shear Stress at Exit?P_rolls - Pressure on Roller?h_ft - Final Thickness?h_x - Thickness at the given Point?μ_r - Friction Coefficient?H - Factor H at given Point on Workpiece?

Mean Yield Shear Stress using Pressure on Exit Side Example

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Here is how the Mean Yield Shear Stress using Pressure on Exit Side equation looks like with Values.

Here is how the Mean Yield Shear Stress using Pressure on Exit Side equation looks like with Units.

Here is how the Mean Yield Shear Stress using Pressure on Exit Side equation looks like.

22027.006 = \frac{0.0002 \cdot 7.3}{0.0031 \cdot \exp (0.6 \cdot 5)}

22027.006Pa = \frac{0.0002N/mm² \cdot 7.3mm}{0.0031mm \cdot \exp (0.6 \cdot 5)}

22027.006 = \frac{0.0002 \cdot 7.3}{0.0031 \cdot \exp (0.6 \cdot 5)}

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Mean Yield Shear Stress using Pressure on Exit Side Solution

Follow our step by step solution on how to calculate Mean Yield Shear Stress using Pressure on Exit Side?

FIRST Step Consider the formula

S y = \frac{P rolls \cdot h ft}{h x \cdot \exp (μ r \cdot H)}

Next Step Substitute values of Variables

∴

S y = \frac{0.0002N/mm² \cdot 7.3mm}{0.0031mm \cdot \exp (0.6 \cdot 5)}

Next Step Convert Units

∴

S y = \frac{190Pa \cdot 0.0073m}{3.1E-6m \cdot \exp (0.6 \cdot 5)}

Next Step Prepare to Evaluate

∴

S y = \frac{190 \cdot 0.0073}{3.1E-6 \cdot \exp (0.6 \cdot 5)}

Next Step Evaluate

∴

S y = 22027.0060051762Pa

LAST Step Rounding Answer

∴

S y = 22027.006Pa

Mean Yield Shear Stress using Pressure on Exit Side Formula Elements

Variables

Functions

Mean Yield Shear Stress at Exit

Mean Yield Shear Stress at Exit represents the average shear stress at which the material begins to yield or undergo plastic deformation at the end of rolling.

Symbol: S_y

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Mean Yield Shear Stress at Exit

Pressure on Roller

Pressure on Roller is the force per unit area on Roller during the rolling process.

Symbol: P_rolls

Measurement: PressureUnit: N/mm²

Note: Value can be positive or negative.

Formulas to find Pressure on Roller

Final Thickness

Final Thickness is the thickness of the workpiece after rolling.

Symbol: h_ft

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Final Thickness

Thickness at the given Point

Thickness at the given Point is defined as the thickness of stock at any point between entry and neutral point during the rolling.

Symbol: h_x

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness at the given Point

Friction Coefficient

Friction Coefficient(μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

Symbol: μ_r

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Friction Coefficient

Factor H at given Point on Workpiece

Factor H at given Point on Workpiece is used in rolling calculations to account for the interaction between the material, the rollers, and the deformation process.

Symbol: H

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Factor H at given Point on Workpiece

exp

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

Syntax: exp(Number)

Other formulas in Analysis at Exit Region category

Go Pressure Acting on Rolls in Exit Region

P ex = S y \cdot \frac{h x}{h ft} \cdot \exp (μ r \cdot 2 \cdot \sqrt{\frac{R roll}{h ft}} \cdot a \tan (Θ r \cdot \sqrt{\frac{R roll}{h ft}}))

Go Pressure on Rolls given H (Exit Side)

P rolls = S y \cdot \frac{h x}{h ft} \cdot \exp (μ r \cdot H)

Go Thickness of Stock at given Point on Exit Side

h x = \frac{P rolls \cdot h ft}{S y \cdot \exp (μ r \cdot H)}

How to Evaluate Mean Yield Shear Stress using Pressure on Exit Side?

Mean Yield Shear Stress using Pressure on Exit Side evaluator uses Mean Yield Shear Stress at Exit = (Pressure on Roller*Final Thickness)/(Thickness at the given Point*exp(Friction Coefficient*Factor H at given Point on Workpiece)) to evaluate the Mean Yield Shear Stress at Exit, The Mean yield shear stress using pressure on exit side is the mean of continuously changing shear yield stress during rolling at the exit of the operation. Mean Yield Shear Stress at Exit is denoted by S_y symbol.

How to evaluate Mean Yield Shear Stress using Pressure on Exit Side using this online evaluator? To use this online evaluator for Mean Yield Shear Stress using Pressure on Exit Side, enter Pressure on Roller (P_rolls), Final Thickness (h_ft), Thickness at the given Point (h_x), Friction Coefficient (μ_r) & Factor H at given Point on Workpiece (H) and hit the calculate button.

FAQs on Mean Yield Shear Stress using Pressure on Exit Side

What is the formula to find Mean Yield Shear Stress using Pressure on Exit Side?

The formula of Mean Yield Shear Stress using Pressure on Exit Side is expressed as Mean Yield Shear Stress at Exit = (Pressure on Roller*Final Thickness)/(Thickness at the given Point*exp(Friction Coefficient*Factor H at given Point on Workpiece)). Here is an example- 22027.01 = (190*0.0073)/(3.135E-06*exp(0.6*5)).

How to calculate Mean Yield Shear Stress using Pressure on Exit Side?

With Pressure on Roller (P_rolls), Final Thickness (h_ft), Thickness at the given Point (h_x), Friction Coefficient (μ_r) & Factor H at given Point on Workpiece (H) we can find Mean Yield Shear Stress using Pressure on Exit Side using the formula - Mean Yield Shear Stress at Exit = (Pressure on Roller*Final Thickness)/(Thickness at the given Point*exp(Friction Coefficient*Factor H at given Point on Workpiece)). This formula also uses Exponential Growth Function function(s).

Can the Mean Yield Shear Stress using Pressure on Exit Side be negative?

No, the Mean Yield Shear Stress using Pressure on Exit Side, measured in Stress cannot be negative.

Which unit is used to measure Mean Yield Shear Stress using Pressure on Exit Side?

Mean Yield Shear Stress using Pressure on Exit Side is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Mean Yield Shear Stress using Pressure on Exit Side can be measured.

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Mean Yield Shear Stress using Pressure on Exit Side Formula

Mean Yield Shear Stress using Pressure on Exit Side Example

Mean Yield Shear Stress using Pressure on Exit Side Solution

Mean Yield Shear Stress using Pressure on Exit Side Formula Elements

Other formulas in Analysis at Exit Region category

How to Evaluate Mean Yield Shear Stress using Pressure on Exit Side?

FAQs on Mean Yield Shear Stress using Pressure on Exit Side

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