Percent cold work Calculator

✖The Cross-sectional Area before any load is applied.ⓘ Cross-sectional Area [A₀]			+10% -10%
✖Area after deformation is denoted by the symbol A_d.ⓘ Area after deformation [A_d]			+10% -10%

✖Percent cold work expresses the degree of plastic deformation.ⓘ Percent cold work [%CW]

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Formula

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Percent cold work

Formula

`"%CW" = 100*("A"_{"0"}-"A"_{"d"})/"A"_{"0"}`

Example

`"90.77321"=100*("5419mm²"-"5cm²")/"5419mm²"`

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Percent cold work Solution

STEP 0: Pre-Calculation Summary

Formula Used

Percent cold work = 100*(Cross-sectional Area-Area after deformation)/Cross-sectional Area
%CW = 100*(A₀-A_d)/A₀
This formula uses 3 Variables

Variables Used

Percent cold work - Percent cold work expresses the degree of plastic deformation.
Cross-sectional Area - (Measured in Square Meter) - The Cross-sectional Area before any load is applied.
Area after deformation - (Measured in Square Meter) - Area after deformation is denoted by the symbol A_d.

STEP 1: Convert Input(s) to Base Unit

Cross-sectional Area: 5419 Square Millimeter --> 0.005419 Square Meter (Check conversion here)
Area after deformation: 5 Square Centimeter --> 0.0005 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

%CW = 100*(A₀-A_d)/A₀ --> 100*(0.005419-0.0005)/0.005419

Evaluating ... ...

%CW = 90.773205388448

STEP 3: Convert Result to Output's Unit

90.773205388448 --> No Conversion Required

FINAL ANSWER

90.773205388448 ≈ 90.77321 <-- Percent cold work

(Calculation completed in 00.004 seconds)

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Home » Engineering » Materials Science » Mechanical Behaviour and Testing » Failure Testing in Materials » Percent cold work

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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 cold work Formula

Percent cold work = 100*(Cross-sectional Area-Area after deformation)/Cross-sectional Area
%CW = 100*(A₀-A_d)/A₀

Strain hardening

Strain hardening is the phenomenon whereby a ductile metal becomes harder and stronger as it is plastically deformed. Sometimes it is also called work hardening, or, because the temperature at which deformation takes place is “cold” relative to the absolute melting temperature of the metal, cold working. Most metals strain harden at room temperature.

How to Calculate Percent cold work?

Percent cold work calculator uses Percent cold work = 100*(Cross-sectional Area-Area after deformation)/Cross-sectional Area to calculate the Percent cold work, Percent cold work expresses the degree of plastic deformation. Percent cold work is denoted by %CW symbol.

How to calculate Percent cold work using this online calculator? To use this online calculator for Percent cold work, enter Cross-sectional Area (A₀) & Area after deformation (A_d) and hit the calculate button. Here is how the Percent cold work calculation can be explained with given input values -> -313.22314 = 100*(0.005419-0.0005)/0.005419.

FAQ

What is Percent cold work?

Percent cold work expresses the degree of plastic deformation and is represented as %CW = 100*(A₀-A_d)/A₀ or Percent cold work = 100*(Cross-sectional Area-Area after deformation)/Cross-sectional Area. The Cross-sectional Area before any load is applied & Area after deformation is denoted by the symbol A_d.

How to calculate Percent cold work?

Percent cold work expresses the degree of plastic deformation is calculated using Percent cold work = 100*(Cross-sectional Area-Area after deformation)/Cross-sectional Area. To calculate Percent cold work, you need Cross-sectional Area (A₀) & Area after deformation (A_d). With our tool, you need to enter the respective value for Cross-sectional Area & Area after deformation 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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