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Mean Yield Shear Stress given Pressure on Entry Side Formula

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

S e = \frac{P en \cdot \frac{h in}{h e}}{\exp (μ rp \cdot (H in - H x))}

S_e - Mean Yield Shear Stress?P_en - Pressure Acting at Entry?h_in - Initial Thickness?h_e - Thickness at Entry?μ_rp - Coefficient of Friction?H_in - H Factor at Entry Point on Workpiece?H_x - Factor H at a Point on Workpiece?

Mean Yield Shear Stress given Pressure on Entry Side Example

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

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

Here is how the Mean Yield Shear Stress given Pressure on Entry Side equation looks like.

4359.6965 = \frac{9.9E-6 \cdot \frac{3.5}{0.011}}{\exp (0.5 \cdot (3.35 - 4))}

4359.6965Pa = \frac{9.9E-6N/mm² \cdot \frac{3.5mm}{0.011mm}}{\exp (0.5 \cdot (3.35 - 4))}

4359.6965 = \frac{9.9E-6 \cdot \frac{3.5}{0.011}}{\exp (0.5 \cdot (3.35 - 4))}

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Mean Yield Shear Stress given Pressure on Entry Side Solution

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

FIRST Step Consider the formula

S e = \frac{P en \cdot \frac{h in}{h e}}{\exp (μ rp \cdot (H in - H x))}

Next Step Substitute values of Variables

∴

S e = \frac{9.9E-6N/mm² \cdot \frac{3.5mm}{0.011mm}}{\exp (0.5 \cdot (3.35 - 4))}

Next Step Convert Units

∴

S e = \frac{9.9Pa \cdot \frac{0.0035m}{1.1E-5m}}{\exp (0.5 \cdot (3.35 - 4))}

Next Step Prepare to Evaluate

∴

S e = \frac{9.9 \cdot \frac{0.0035}{1.1E-5}}{\exp (0.5 \cdot (3.35 - 4))}

Next Step Evaluate

∴

S e = 4359.69653483937Pa

LAST Step Rounding Answer

∴

S e = 4359.6965Pa

Mean Yield Shear Stress given Pressure on Entry Side Formula Elements

Variables

Functions

Mean Yield Shear Stress

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

Symbol: S_e

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Mean Yield Shear Stress

Pressure Acting at Entry

Pressure Acting at Entry is the force per unit area of Rollers on the sheet at the entry region.

Symbol: P_en

Measurement: PressureUnit: N/mm²

Note: Value can be positive or negative.

Formulas to find Pressure Acting at Entry

Initial Thickness

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

Symbol: h_in

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Initial Thickness

Thickness at Entry

Thickness at Entry is defined as the thickness of stock at any point between entry and neutral point.

Symbol: h_e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness at Entry

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.

Symbol: μ_rp

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction

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.

Symbol: H_in

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find H Factor at Entry Point on Workpiece

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.

Symbol: H_x

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Factor H at a 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 Entry Region category

Go Thickness of Stock at given Point on Entry Side

h e = \frac{P en \cdot h in}{S e \cdot \exp (μ rp \cdot (H in - H x))}

Go Pressure on Rolls given H (Entry Side)

P en = S e \cdot \frac{h e}{h in} \cdot \exp (μ rp \cdot (H in - H x))

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

Mean Yield Shear Stress given Pressure on Entry Side evaluator 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 evaluate 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 evaluate Mean Yield Shear Stress given Pressure on Entry Side using this online evaluator? To use this online evaluator for Mean Yield Shear Stress given Pressure on Entry Side, enter Pressure Acting at Entry (P_en), 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.

FAQs on Mean Yield Shear Stress given Pressure on Entry Side

What is the formula to find Mean Yield Shear Stress given Pressure on Entry Side?

The formula of Mean Yield Shear Stress given Pressure on Entry Side is expressed as 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))). Here is an example- 4359.697 = (9.9*0.0035/1.1E-05)/(exp(0.5*(3.35-4))).

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

With Pressure Acting at Entry (P_en), 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) we can find Mean Yield Shear Stress given Pressure on Entry Side using the formula - 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))). This formula also uses Exponential Growth Function function(s).

Can the Mean Yield Shear Stress given Pressure on Entry Side be negative?

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

Which unit is used to measure Mean Yield Shear Stress given Pressure on Entry Side?

Mean Yield Shear Stress given Pressure on Entry 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 given Pressure on Entry Side can be measured.

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Mean Yield Shear Stress given Pressure on Entry Side Formula

Mean Yield Shear Stress given Pressure on Entry Side Example

Mean Yield Shear Stress given Pressure on Entry Side Solution

Mean Yield Shear Stress given Pressure on Entry Side Formula Elements

Other formulas in Analysis at Entry Region category

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

FAQs on Mean Yield Shear Stress given Pressure on Entry Side

Variable Name