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-Af)*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-Af)*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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Failure Testing in Materials Calculators

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​ 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-Original Length)*100/Original Length

Percent reduction in area Formula

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