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Projected Area Formula

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the projected area refers to the area that interacts with the rolls during the rolling process. Check FAQs

A = w \cdot {(R \cdot Δt)}^{0.5}

A - Projected Area?w - Width?R - Roller Radius?Δt - Change in Thickness?

Projected Area Example

With values

With units

Only example

Here is how the Projected Area equation looks like with Values.

Here is how the Projected Area equation looks like with Units.

Here is how the Projected Area equation looks like.

1.224 = 3 \cdot {(102 \cdot 16.32)}^{0.5}

1.224cm² = 3mm \cdot {(102mm \cdot 16.32mm)}^{0.5}

1.224 = 3 \cdot {(102 \cdot 16.32)}^{0.5}

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Projected Area Solution

Follow our step by step solution on how to calculate Projected Area?

FIRST Step Consider the formula

A = w \cdot {(R \cdot Δt)}^{0.5}

Next Step Substitute values of Variables

∴

A = 3mm \cdot {(102mm \cdot 16.32mm)}^{0.5}

Next Step Convert Units

∴

A = 0.003m \cdot {(0.102m \cdot 0.0163m)}^{0.5}

Next Step Prepare to Evaluate

∴

A = 0.003 \cdot {(0.102 \cdot 0.0163)}^{0.5}

Next Step Evaluate

∴

A = 0.0001224m²

LAST Step Convert to Output's Unit

∴

A = 1.224cm²

Projected Area Formula Elements

Variables

Projected Area

the projected area refers to the area that interacts with the rolls during the rolling process.

Symbol: A

Measurement: AreaUnit: cm²

Note: Value should be greater than 0.

Formulas to find Projected Area

Width

Width refers to the measurement of the distance between two parallel sides of an object or the horizontal extent of an object from side to side.

Symbol: w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width

Roller Radius

The Roller Radius is the distance between the center and the point on the circumference of the roller.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Roller Radius

Change in Thickness

Change in Thickness can be defined as the difference between final and initial thickness of the workpiece being rolled.

Symbol: Δt

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Change in Thickness

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

Go Projected Length

L = {(R \cdot Δt)}^{0.5}

Go Angle Subtended by Neutral Point

φ n = \sqrt{\frac{h fi}{R}} \cdot \tan (\frac{H n}{2} \cdot \sqrt{\frac{h fi}{R}})

How to Evaluate Projected Area?

Projected Area evaluator uses Projected Area = Width*(Roller Radius*Change in Thickness)^0.5 to evaluate the Projected Area, the projected area typically refers to the cross-sectional area of the material being rolled as it contacts the rolls. This area is projected onto a plane perpendicular to the direction of rolling. Projected Area is denoted by A symbol.

How to evaluate Projected Area using this online evaluator? To use this online evaluator for Projected Area, enter Width (w), Roller Radius (R) & Change in Thickness (Δt) and hit the calculate button.

FAQs on Projected Area

What is the formula to find Projected Area?

The formula of Projected Area is expressed as Projected Area = Width*(Roller Radius*Change in Thickness)^0.5. Here is an example- 12240 = 0.003*(0.102*0.01632)^0.5.

How to calculate Projected Area?

With Width (w), Roller Radius (R) & Change in Thickness (Δt) we can find Projected Area using the formula - Projected Area = Width*(Roller Radius*Change in Thickness)^0.5.

Can the Projected Area be negative?

No, the Projected Area, measured in Area cannot be negative.

Which unit is used to measure Projected Area?

Projected Area is usually measured using the Square Centimeter[cm²] for Area. Square Meter[cm²], Square Kilometer[cm²], Square Millimeter[cm²] are the few other units in which Projected Area can be measured.

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Projected Area Formula

Projected Area Example

Projected Area Solution

Projected Area Formula Elements

Other formulas in Rolling Analysis category

How to Evaluate Projected Area?

FAQs on Projected Area

Variable Name