Actual Expansion when Support Yields Calculator

✖The Coefficient of Linear Expansion is the ratio of increase in length to original length per degree rise in temperature.ⓘ Coefficient of Linear Expansion [α_L]			+10% -10%
✖Length Of Bar is defined as the total length of the Bar.ⓘ Length of Bar [L_bar]			+10% -10%
✖Change in Temperature is the difference between the final and initial temperature.ⓘ Change in Temperature [ΔT]			+10% -10%
✖Yield Amount (Length) is the amount of plastic deformation that the material has undergone when under stress.ⓘ Yield Amount (Length) [δ]			+10% -10%

✖Actual expansion is the difference between the expansion due to rise in temperature and the yield amount.ⓘ Actual Expansion when Support Yields [AE]

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Formula

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Actual Expansion when Support Yields

Formula

`"AE" = "α"_{"L"}*"L"_{"bar"}*"ΔT"-"δ"`

Example

`"6mm"="0.0005K⁻¹"*"2000mm"*"10K"-"4mm"`

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Actual Expansion when Support Yields Solution

STEP 0: Pre-Calculation Summary

Formula Used

Actual Expansion = Coefficient of Linear Expansion*Length of Bar*Change in Temperature-Yield Amount (Length)
AE = α_L*L_bar*ΔT-δ
This formula uses 5 Variables

Variables Used

Actual Expansion - (Measured in Millimeter) - Actual expansion is the difference between the expansion due to rise in temperature and the yield amount.
Coefficient of Linear Expansion - (Measured in Per Kelvin) - The Coefficient of Linear Expansion is the ratio of increase in length to original length per degree rise in temperature.
Length of Bar - (Measured in Millimeter) - Length Of Bar is defined as the total length of the Bar.
Change in Temperature - (Measured in Kelvin) - Change in Temperature is the difference between the final and initial temperature.
Yield Amount (Length) - (Measured in Millimeter) - Yield Amount (Length) is the amount of plastic deformation that the material has undergone when under stress.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Linear Expansion: 0.0005 Per Kelvin --> 0.0005 Per Kelvin No Conversion Required
Length of Bar: 2000 Millimeter --> 2000 Millimeter No Conversion Required
Change in Temperature: 10 Kelvin --> 10 Kelvin No Conversion Required
Yield Amount (Length): 4 Millimeter --> 4 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

AE = α_L*L_bar*ΔT-δ --> 0.0005*2000*10-4

Evaluating ... ...

AE = 6

STEP 3: Convert Result to Output's Unit

0.006 Meter -->6 Millimeter (Check conversion here)

FINAL ANSWER

6 Millimeter <-- Actual Expansion

(Calculation completed in 00.004 seconds)

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has created this Calculator and 200+ more calculators!

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National Institute Of Technology (NIT), Hamirpur

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< 2 Thermal Stress Calculators

Actual Expansion when Support Yields

Go Actual Expansion = Coefficient of Linear Expansion*Length of Bar*Change in Temperature-Yield Amount (Length)

Extension of Rod if Rod is Free to Extend

Go Increase in Bar Length = Initial Length*Coefficient of Thermal Expansion*Temperature Rise

< 11 Thermal Stress Calculators

Actual Stress when Support Yields

Go Actual Stress = ((Coefficient of Linear Expansion*Change in Temperature*Length of Bar-Yield Amount (Length))*Modulus of Elasticity of Bar)/Length of Bar

Actual Strain when Support Yields

Go Actual Strain = (Coefficient of Linear Expansion*Change in Temperature*Length of Bar-Yield Amount (Length))/Length of Bar

Actual Expansion when Support Yields

Go Actual Expansion = Coefficient of Linear Expansion*Length of Bar*Change in Temperature-Yield Amount (Length)

Extension of Rod if Rod is Free to Extend

Go Increase in Bar Length = Initial Length*Coefficient of Thermal Expansion*Temperature Rise

Thermal Stress given Coefficient of Linear Expansion

Go Thermal Stress = Coefficient of Thermal Expansion*Temperature Rise*Young's Modulus Bar

Thermal Strain given Coefficient of Linear Expansion

Go Thermal Strain = Coefficient of Thermal Expansion*Temperature Rise

Actual Stress given Support Yields for Value of Actual Strain

Go Actual Stress = Actual Strain*Modulus of Elasticity of Bar

Thermal Strain given Thermal Stress

Go Thermal Strain = Thermal Stress/Young's Modulus Bar

Thermal Stress given Thermal Strain

Go Thermal Stress = Thermal Strain*Young's Modulus Bar

Thermal Strain

Go Thermal Strain = Prevented Extension/Initial Length

Actual Strain given Support Yields for Value of Actual Expansion

Go Actual Strain = Actual Expansion/Length of Bar

Actual Expansion when Support Yields Formula

Actual Expansion = Coefficient of Linear Expansion*Length of Bar*Change in Temperature-Yield Amount (Length)
AE = α_L*L_bar*ΔT-δ

What is Yielding of a Material?

The Yielding of Material is explained as the stress at which a material begins to deform irreversibly. After the yield point, the material starts to deform plastically that cannot be reversed.

What is Thermal Strain?

The Thermal Strain is the strain induced due to temperature. It is also called temperature strain. The Thermal strain can be found by dividing the extension prevented by the original length.

How to Calculate Actual Expansion when Support Yields?

Actual Expansion when Support Yields calculator uses Actual Expansion = Coefficient of Linear Expansion*Length of Bar*Change in Temperature-Yield Amount (Length) to calculate the Actual Expansion, The Actual Expansion when Support Yields formula is defined as the difference between the expansion due to a rise in temperature and the yield amount. Actual Expansion is denoted by AE symbol.

How to calculate Actual Expansion when Support Yields using this online calculator? To use this online calculator for Actual Expansion when Support Yields, enter Coefficient of Linear Expansion (α_L), Length of Bar (L_bar), Change in Temperature (ΔT) & Yield Amount (Length) (δ) and hit the calculate button. Here is how the Actual Expansion when Support Yields calculation can be explained with given input values -> 6000 = 0.0005*2*10-0.004.

FAQ

What is Actual Expansion when Support Yields?

The Actual Expansion when Support Yields formula is defined as the difference between the expansion due to a rise in temperature and the yield amount and is represented as AE = α_L*L_bar*ΔT-δ or Actual Expansion = Coefficient of Linear Expansion*Length of Bar*Change in Temperature-Yield Amount (Length). The Coefficient of Linear Expansion is the ratio of increase in length to original length per degree rise in temperature, Length Of Bar is defined as the total length of the Bar, Change in Temperature is the difference between the final and initial temperature & Yield Amount (Length) is the amount of plastic deformation that the material has undergone when under stress.

How to calculate Actual Expansion when Support Yields?

The Actual Expansion when Support Yields formula is defined as the difference between the expansion due to a rise in temperature and the yield amount is calculated using Actual Expansion = Coefficient of Linear Expansion*Length of Bar*Change in Temperature-Yield Amount (Length). To calculate Actual Expansion when Support Yields, you need Coefficient of Linear Expansion (α_L), Length of Bar (L_bar), Change in Temperature (ΔT) & Yield Amount (Length) (δ). With our tool, you need to enter the respective value for Coefficient of Linear Expansion, Length of Bar, Change in Temperature & Yield Amount (Length) 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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