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Percent reduction in area Formula

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Percent reduction in area is the percentage change in cross sectional area with respect to the original cross sectional area. Check FAQs

%RA = (A 0 - A f) \cdot \frac{100}{A 0}

%RA - Percent reduction in area?A₀ - Cross-sectional Area?A_f - Fracture area?

Percent reduction in area Example

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Here is how the Percent reduction in area equation looks like with Values.

Here is how the Percent reduction in area equation looks like with Units.

Here is how the Percent reduction in area equation looks like.

85.2371 = (5419 - 8) \cdot \frac{100}{5419}

85.2371 = (5419mm² - 8cm²) \cdot \frac{100}{5419mm²}

85.2371 = (5419 - 8) \cdot \frac{100}{5419}

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Percent reduction in area Solution

Follow our step by step solution on how to calculate Percent reduction in area?

FIRST Step Consider the formula

%RA = (A 0 - A f) \cdot \frac{100}{A 0}

Next Step Substitute values of Variables

∴

%RA = (5419mm² - 8cm²) \cdot \frac{100}{5419mm²}

Next Step Convert Units

∴

%RA = (0.0054m² - 0.0008m²) \cdot \frac{100}{0.0054m²}

Next Step Prepare to Evaluate

∴

%RA = (0.0054 - 0.0008) \cdot \frac{100}{0.0054}

Next Step Evaluate

∴

%RA = 85.2371286215169

LAST Step Rounding Answer

∴

%RA = 85.2371

Percent reduction in area Formula Elements

Variables

Percent reduction in area

Percent reduction in area is the percentage change in cross sectional area with respect to the original cross sectional area.

Symbol: %RA

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Percent reduction in area

Cross-sectional Area

The Cross-sectional Area before any load is applied.

Symbol: A₀

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Cross-sectional Area

Fracture area

Fracture area is the cross-sectional area at the point of fracture.

Symbol: A_f

Measurement: AreaUnit: cm²

Note: Value should be greater than 0.

Formulas to find Fracture area

Other formulas in Failure Testing in Materials category

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%EL = (l f - L 0) \cdot \frac{100}{L 0}

Go Percent cold work

%CW = 100 \cdot \frac{A 0 - A d}{A 0}

Go Critical stress for crack propagation

σ c = \sqrt{2 \cdot E \cdot \frac{γ s}{π \cdot a}}

Go Stress concentration factor

k = 2 \cdot \sqrt{\frac{a}{𝜌 t}}

How to Evaluate Percent reduction in area?

Percent reduction in area evaluator uses Percent reduction in area = (Cross-sectional Area-Fracture area)*100/Cross-sectional Area to evaluate the Percent reduction in area, Percent reduction in area is defined as the percentage of change in area of cross section after fracture with respect to the original area. Percent reduction in area is denoted by %RA symbol.

How to evaluate Percent reduction in area using this online evaluator? To use this online evaluator for Percent reduction in area, enter Cross-sectional Area (A₀) & Fracture area (A_f) and hit the calculate button.

FAQs on Percent reduction in area

What is the formula to find Percent reduction in area?

The formula of Percent reduction in area is expressed as Percent reduction in area = (Cross-sectional Area-Fracture area)*100/Cross-sectional Area. Here is an example- -561.157025 = (0.005419-0.0008)*100/0.005419.

How to calculate Percent reduction in area?

With Cross-sectional Area (A₀) & Fracture area (A_f) we can find Percent reduction in area using the formula - Percent reduction in area = (Cross-sectional Area-Fracture area)*100/Cross-sectional Area.

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