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Thickness of Stock at given Point on Exit Side Formula

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

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

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

Thickness of Stock at given Point on Exit Side Example

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Here is how the Thickness of Stock at given Point on Exit Side equation looks like with Values.

Here is how the Thickness of Stock at given Point on Exit Side equation looks like with Units.

Here is how the Thickness of Stock at given Point on Exit Side equation looks like.

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

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

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

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Thickness of Stock at given Point on Exit Side Solution

Follow our step by step solution on how to calculate Thickness of Stock at given Point on Exit Side?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

h x = \frac{190Pa \cdot 0.0073m}{22027.01Pa \cdot \exp (0.6 \cdot 5)}

Next Step Prepare to Evaluate

∴

h x = \frac{190 \cdot 0.0073}{22027.01 \cdot \exp (0.6 \cdot 5)}

Next Step Evaluate

∴

h x = 3.13499943143565E-06m

Next Step Convert to Output's Unit

∴

h x = 0.00313499943143565mm

LAST Step Rounding Answer

∴

h x = 0.0031mm

Thickness of Stock at given Point on Exit Side Formula Elements

Variables

Functions

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

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

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

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 Pressure on Rolls given H (Exit Side)

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

How to Evaluate Thickness of Stock at given Point on Exit Side?

Thickness of Stock at given Point on Exit Side evaluator uses Thickness at the given Point = (Pressure on Roller*Final Thickness)/(Mean Yield Shear Stress at Exit*exp(Friction Coefficient*Factor H at given Point on Workpiece)) to evaluate the Thickness at the given Point, The Thickness of stock at given point on exit side formula is defined as the thickness of stock or the work piece at the exit of the rolling process. Thickness at the given Point is denoted by h_x symbol.

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

FAQs on Thickness of Stock at given Point on Exit Side

What is the formula to find Thickness of Stock at given Point on Exit Side?

The formula of Thickness of Stock at given Point on Exit Side is expressed as Thickness at the given Point = (Pressure on Roller*Final Thickness)/(Mean Yield Shear Stress at Exit*exp(Friction Coefficient*Factor H at given Point on Workpiece)). Here is an example- 1.175699 = (190*0.0073)/(22027.01*exp(0.6*5)).

How to calculate Thickness of Stock at given Point on Exit Side?

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

Can the Thickness of Stock at given Point on Exit Side be negative?

No, the Thickness of Stock at given Point on Exit Side, measured in Length cannot be negative.

Which unit is used to measure Thickness of Stock at given Point on Exit Side?

Thickness of Stock at given Point on Exit Side is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Thickness of Stock at given Point on Exit Side can be measured.

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Thickness of Stock at given Point on Exit Side Formula

Thickness of Stock at given Point on Exit Side Example

Thickness of Stock at given Point on Exit Side Solution

Thickness of Stock at given Point on Exit Side Formula Elements

Other formulas in Analysis at Exit Region category

How to Evaluate Thickness of Stock at given Point on Exit Side?

FAQs on Thickness of Stock at given Point on Exit Side

Variable Name