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Initial Stock Thickness given Pressure on Rolls Formula

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Initial Stock Thickness is the thickness of sheet before rolling operation. Check FAQs

h t = \frac{S \cdot h s \cdot \exp (μ f \cdot (H i - H r))}{P}

h_t - Initial Stock Thickness?S - Mean Yield Shear Stress of Work Material?h_s - Thickness at given Point?μ_f - Friction Coefficient in Rolling Analysis?H_i - Factor H at Entry Point on Workpiece?H_r - Factor H in Rolling Calculation?P - Pressure Acting on Rolls?

Initial Stock Thickness given Pressure on Rolls Example

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Here is how the Initial Stock Thickness given Pressure on Rolls equation looks like with Values.

Here is how the Initial Stock Thickness given Pressure on Rolls equation looks like with Units.

Here is how the Initial Stock Thickness given Pressure on Rolls equation looks like.

1.0472 = \frac{58730 \cdot 0.0031 \cdot \exp (0.4 \cdot (3.36 - 3.18))}{0.0002}

1.0472mm = \frac{58730Pa \cdot 0.0031mm \cdot \exp (0.4 \cdot (3.36 - 3.18))}{0.0002N/mm²}

1.0472 = \frac{58730 \cdot 0.0031 \cdot \exp (0.4 \cdot (3.36 - 3.18))}{0.0002}

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Initial Stock Thickness given Pressure on Rolls Solution

Follow our step by step solution on how to calculate Initial Stock Thickness given Pressure on Rolls?

FIRST Step Consider the formula

h t = \frac{S \cdot h s \cdot \exp (μ f \cdot (H i - H r))}{P}

Next Step Substitute values of Variables

∴

h t = \frac{58730Pa \cdot 0.0031mm \cdot \exp (0.4 \cdot (3.36 - 3.18))}{0.0002N/mm²}

Next Step Convert Units

∴

h t = \frac{58730Pa \cdot 3.1E-6m \cdot \exp (0.4 \cdot (3.36 - 3.18))}{189Pa}

Next Step Prepare to Evaluate

∴

h t = \frac{58730 \cdot 3.1E-6 \cdot \exp (0.4 \cdot (3.36 - 3.18))}{189}

Next Step Evaluate

∴

h t = 0.00104715925466843m

Next Step Convert to Output's Unit

∴

h t = 1.04715925466843mm

LAST Step Rounding Answer

∴

h t = 1.0472mm

Initial Stock Thickness given Pressure on Rolls Formula Elements

Variables

Functions

Initial Stock Thickness

Initial Stock Thickness is the thickness of sheet before rolling operation.

Symbol: h_t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Initial Stock Thickness

Mean Yield Shear Stress of Work Material

The Mean Yield Shear Stress of Work Material represents the average shear stress at which the material begins to yield or undergo plastic deformation.

Symbol: S

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Mean Yield Shear Stress of Work Material

Thickness at given Point

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

Symbol: h_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness at given Point

Friction Coefficient in Rolling Analysis

Friction Coefficient in Rolling Analysis (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_f

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Friction Coefficient in Rolling Analysis

Factor H at Entry Point on Workpiece

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

Symbol: H_i

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Factor H at Entry Point on Workpiece

Factor H in Rolling Calculation

Factor H in Rolling Calculation is used in rolling calculations to account for the interaction between the material, the rollers, and the deformation process.

Symbol: H_r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Factor H in Rolling Calculation

Pressure Acting on Rolls

The Pressure Acting on Rolls is the force per unit area on the roller during the rolling process.

Symbol: P

Measurement: PressureUnit: N/mm²

Note: Value can be positive or negative.

Formulas to find Pressure Acting on Rolls

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 Rolling Analysis category

Go Bite Angle

α b = a \cos (1 - \frac{h}{2 \cdot R})

Go Maximum Reduction in Thickness Possible

Δt = {μ f}^{2} \cdot R

How to Evaluate Initial Stock Thickness given Pressure on Rolls?

Initial Stock Thickness given Pressure on Rolls evaluator uses 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 to evaluate the Initial Stock Thickness, Initial Stock Thickness given Pressure on Rolls refers to the starting thickness of the material before it undergoes the rolling process, based on the pressure exerted by the rolls during the operation. Initial Stock Thickness is denoted by h_t symbol.

How to evaluate Initial Stock Thickness given Pressure on Rolls using this online evaluator? To use this online evaluator for Initial Stock Thickness given Pressure on Rolls, enter Mean Yield Shear Stress of Work Material (S), Thickness at given Point (h_s), Friction Coefficient in Rolling Analysis (μ_f), Factor H at Entry Point on Workpiece (H_i), Factor H in Rolling Calculation (H_r) & Pressure Acting on Rolls (P) and hit the calculate button.

FAQs on Initial Stock Thickness given Pressure on Rolls

What is the formula to find Initial Stock Thickness given Pressure on Rolls?

The formula of Initial Stock Thickness given Pressure on Rolls is expressed as 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. Here is an example- 1047.159 = (58730*3.13577819561353E-06*exp(0.4*(3.36-3.18)))/189.

How to calculate Initial Stock Thickness given Pressure on Rolls?

With Mean Yield Shear Stress of Work Material (S), Thickness at given Point (h_s), Friction Coefficient in Rolling Analysis (μ_f), Factor H at Entry Point on Workpiece (H_i), Factor H in Rolling Calculation (H_r) & Pressure Acting on Rolls (P) we can find Initial Stock Thickness given Pressure on Rolls using the formula - 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. This formula also uses Exponential Growth (exp) function(s).

Can the Initial Stock Thickness given Pressure on Rolls be negative?

No, the Initial Stock Thickness given Pressure on Rolls, measured in Length cannot be negative.

Which unit is used to measure Initial Stock Thickness given Pressure on Rolls?

Initial Stock Thickness given Pressure on Rolls is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Initial Stock Thickness given Pressure on Rolls can be measured.

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Initial Stock Thickness given Pressure on Rolls Formula

Initial Stock Thickness given Pressure on Rolls Example

Initial Stock Thickness given Pressure on Rolls Solution

Initial Stock Thickness given Pressure on Rolls Formula Elements

Other formulas in Rolling Analysis category

How to Evaluate Initial Stock Thickness given Pressure on Rolls?

FAQs on Initial Stock Thickness given Pressure on Rolls

Variable Name