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Pressure on Rolls given H (Exit Side) Formula

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

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

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

Pressure on Rolls given H (Exit Side) Example

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Here is how the Pressure on Rolls given H (Exit Side) equation looks like with Values.

Here is how the Pressure on Rolls given H (Exit Side) equation looks like with Units.

Here is how the Pressure on Rolls given H (Exit Side) equation looks like.

0.0002 = 22027.01 \cdot \frac{0.0031}{7.3} \cdot \exp (0.6 \cdot 5)

0.0002N/mm² = 22027.01Pa \cdot \frac{0.0031mm}{7.3mm} \cdot \exp (0.6 \cdot 5)

0.0002 = 22027.01 \cdot \frac{0.0031}{7.3} \cdot \exp (0.6 \cdot 5)

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Pressure on Rolls given H (Exit Side) Solution

Follow our step by step solution on how to calculate Pressure on Rolls given H (Exit Side)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P rolls = 22027.01Pa \cdot \frac{0.0031mm}{7.3mm} \cdot \exp (0.6 \cdot 5)

Next Step Convert Units

∴

P rolls = 22027.01Pa \cdot \frac{3.1E-6m}{0.0073m} \cdot \exp (0.6 \cdot 5)

Next Step Prepare to Evaluate

∴

P rolls = 22027.01 \cdot \frac{3.1E-6}{0.0073} \cdot \exp (0.6 \cdot 5)

Next Step Evaluate

∴

P rolls = 190.000034458452Pa

Next Step Convert to Output's Unit

∴

P rolls = 0.000190000034458452N/mm²

LAST Step Rounding Answer

∴

P rolls = 0.0002N/mm²

Pressure on Rolls given H (Exit Side) Formula Elements

Variables

Functions

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

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

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

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

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 Mean Yield Shear Stress using Pressure on Exit Side

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

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 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 Pressure on Rolls given H (Exit Side)?

Pressure on Rolls given H (Exit Side) evaluator uses Pressure on Roller = Mean Yield Shear Stress at Exit*Thickness at the given Point/Final Thickness*exp(Friction Coefficient*Factor H at given Point on Workpiece) to evaluate the Pressure on Roller, Pressure on Rolls given H (Exit Side) is defined as the pressure exerted on the sheet by the roll when factor H is given for the exit side of rolling operation. Pressure on Roller is denoted by P_rolls symbol.

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

FAQs on Pressure on Rolls given H (Exit Side)

What is the formula to find Pressure on Rolls given H (Exit Side)?

The formula of Pressure on Rolls given H (Exit Side) is expressed as Pressure on Roller = Mean Yield Shear Stress at Exit*Thickness at the given Point/Final Thickness*exp(Friction Coefficient*Factor H at given Point on Workpiece). Here is an example- 5.1E-10 = 22027.01*3.135E-06/0.0073*exp(0.6*5).

How to calculate Pressure on Rolls given H (Exit Side)?

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

Can the Pressure on Rolls given H (Exit Side) be negative?

Yes, the Pressure on Rolls given H (Exit Side), measured in Pressure can be negative.

Which unit is used to measure Pressure on Rolls given H (Exit Side)?

Pressure on Rolls given H (Exit Side) is usually measured using the Newton per Square Millimeter[N/mm²] for Pressure. Pascal[N/mm²], Kilopascal[N/mm²], Bar[N/mm²] are the few other units in which Pressure on Rolls given H (Exit Side) can be measured.

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Pressure on Rolls given H (Exit Side) Formula

Pressure on Rolls given H (Exit Side) Example

Pressure on Rolls given H (Exit Side) Solution

Pressure on Rolls given H (Exit Side) Formula Elements

Other formulas in Analysis at Exit Region category

How to Evaluate Pressure on Rolls given H (Exit Side)?

FAQs on Pressure on Rolls given H (Exit Side)

Variable Name