Percent reduction in area Calculator

✖The Cross-sectional Area before any load is applied.ⓘ Cross-sectional Area [A₀]			+10% -10%
✖Fracture area is the cross-sectional area at the point of fracture.ⓘ Fracture area [A_f]			+10% -10%

✖Percent reduction in area is the percentage change in cross sectional area with respect to the original cross sectional area.ⓘ Percent reduction in area [%RA]

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Formula

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Percent reduction in area

Formula

`"%RA" = ("A"_{"0"}-"A"_{"f"})*100/"A"_{"0"}`

Example

`"85.23713"=("5419mm²"-"8cm²")*100/"5419mm²"`

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Percent reduction in area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Percent reduction in area = (Cross-sectional Area-Fracture area)*100/Cross-sectional Area
%RA = (A₀-A_f)*100/A₀
This formula uses 3 Variables

Variables Used

Percent reduction in area - Percent reduction in area is the percentage change in cross sectional area with respect to the original cross sectional area.
Cross-sectional Area - (Measured in Square Meter) - The Cross-sectional Area before any load is applied.
Fracture area - (Measured in Square Meter) - Fracture area is the cross-sectional area at the point of fracture.

STEP 1: Convert Input(s) to Base Unit

Cross-sectional Area: 5419 Square Millimeter --> 0.005419 Square Meter (Check conversion here)
Fracture area: 8 Square Centimeter --> 0.0008 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

%RA = (A₀-A_f)*100/A₀ --> (0.005419-0.0008)*100/0.005419

Evaluating ... ...

%RA = 85.2371286215169

STEP 3: Convert Result to Output's Unit

85.2371286215169 --> No Conversion Required

FINAL ANSWER

85.2371286215169 ≈ 85.23713 <-- Percent reduction in area

(Calculation completed in 00.004 seconds)

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Created by Hariharan V S

Indian Institute of Technology (IIT), Chennai

Hariharan V S has created this Calculator and 25+ more calculators!

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< 12 Failure Testing in Materials Calculators

Fracture toughness

Go Fracture Toughness = Dimensionless Parameter in Fracture Toughness*Applied stress*sqrt(pi*Crack Length)

Critical stress for crack propagation

Go Critical stress = sqrt(2*Young's Modulus*Specific surface energy/(pi*Crack Length))

Percent cold work

Go Percent cold work = 100*(Cross-sectional Area-Area after deformation)/Cross-sectional Area

Percent reduction in area

Go Percent reduction in area = (Cross-sectional Area-Fracture area)*100/Cross-sectional Area

Percent elongation

Go Percent elongation = (Fracture Length-Initial Length)*100/Initial Length

Stress concentration factor

Go Stress Concentration Factor = 2*sqrt(Crack Length/Radius of curvature)

Mean stress of stress cycle (fatigue)

Go Mean Stress of Stress Cycle = (Maximum Tensile Stress+Minimum compressive stress)/2

Maximum stress at crack tip

Go Maximum Stress at Crack Tip = Stress Concentration Factor*Applied stress

Range of stress (fatigue)

Go Range of stress = Maximum Tensile Stress-Minimum compressive stress

Stress ratio (fatigue)

Go Stress ratio = Minimum compressive stress/Maximum Tensile Stress

Modulus of resilience

Go Modulus of Resilience = Yield Strength^2/(2*Young's Modulus)

Stress amplitude (fatigue)

Go Stress Amplitude = Range of stress/2

Percent reduction in area Formula

Percent reduction in area = (Cross-sectional Area-Fracture area)*100/Cross-sectional Area
%RA = (A₀-A_f)*100/A₀

Ductility and percent reduction area

Ductility can be expressed quantitatively as percent reduction in area. Percent reduction in area is independent of gauge length and original area of cross section.

How to Calculate Percent reduction in area?

Percent reduction in area calculator uses Percent reduction in area = (Cross-sectional Area-Fracture area)*100/Cross-sectional Area to calculate 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 calculate Percent reduction in area using this online calculator? To use this online calculator for Percent reduction in area, enter Cross-sectional Area (A₀) & Fracture area (A_f) and hit the calculate button. Here is how the Percent reduction in area calculation can be explained with given input values -> -561.157025 = (0.005419-0.0008)*100/0.005419.

FAQ

What is 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 and is represented as %RA = (A₀-A_f)*100/A₀ or Percent reduction in area = (Cross-sectional Area-Fracture area)*100/Cross-sectional Area. The Cross-sectional Area before any load is applied & Fracture area is the cross-sectional area at the point of fracture.

How to calculate 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 is calculated using Percent reduction in area = (Cross-sectional Area-Fracture area)*100/Cross-sectional Area. To calculate Percent reduction in area, you need Cross-sectional Area (A₀) & Fracture area (A_f). With our tool, you need to enter the respective value for Cross-sectional Area & Fracture area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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