Actual Strain when Support Yields Calculator

✖The Coefficient of Linear Expansion is a material property that measures the rate of change of the material's linear dimensions in response to a change in temperature.ⓘ Coefficient of Linear Expansion [α_L]			+10% -10%
✖Change in Temperature is the difference between the final and initial temperature.ⓘ Change in Temperature [ΔT]			+10% -10%
✖Length of Bar typically refers to the physical measurement of the bar along its longest dimension.ⓘ Length of Bar [L_bar]			+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 Strain refers to the deformation experienced by a material due to thermal expansion or contraction.ⓘ Actual Strain when Support Yields [ε_A]

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Actual Strain when Support Yields Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Actual Strain - Actual Strain refers to the deformation experienced by a material due to thermal expansion or contraction.
Coefficient of Linear Expansion - (Measured in Per Kelvin) - The Coefficient of Linear Expansion is a material property that measures the rate of change of the material's linear dimensions in response to a change in temperature.
Change in Temperature - (Measured in Kelvin) - Change in Temperature is the difference between the final and initial temperature.
Length of Bar - (Measured in Meter) - Length of Bar typically refers to the physical measurement of the bar along its longest dimension.
Yield Amount (Length) - (Measured in Meter) - 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
Change in Temperature: 10 Kelvin --> 10 Kelvin No Conversion Required
Length of Bar: 2000 Millimeter --> 2 Meter (Check conversion here)
Yield Amount (Length): 4 Millimeter --> 0.004 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_A = (α_L*ΔT*L_bar-δ)/L_bar --> (0.0005*10*2-0.004)/2

Evaluating ... ...

ε_A = 0.003

STEP 3: Convert Result to Output's Unit

0.003 --> No Conversion Required

FINAL ANSWER

0.003 <-- Actual Strain

(Calculation completed in 00.004 seconds)

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Created by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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K J Somaiya College of Engineering (K J Somaiya), Mumbai

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< Thermal Stress Calculators

Actual Strain when Support Yields

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

Actual Expansion when Support Yields

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

Actual Stress given Support Yields for Value of Actual Strain

LaTeX Go Actual Stress With Support Yield = Actual Strain*Modulus of Elasticity of Bar

Actual Strain given Support Yields for Value of Actual Expansion

LaTeX Go Actual Strain = Actual Expansion/Length of Bar

< Actual Stress and Strain Calculators

Actual Stress when Support Yields

LaTeX Go Actual Stress With Support Yield = ((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

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

Actual Stress given Support Yields for Value of Actual Strain

LaTeX Go Actual Stress With Support Yield = Actual Strain*Modulus of Elasticity of Bar

Actual Strain given Support Yields for Value of Actual Expansion

LaTeX Go Actual Strain = Actual Expansion/Length of Bar

Actual Strain when Support Yields Formula

LaTeX Go

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

What is Coefficient of Linear Expansion?

The Coefficient of Linear Expansion may be defined as the increase in length per unit length when the temperature is raised by 1°C.

What is Actual Strain?

Actual Strain is defined as the ratio of actual expansion caused by the thermal stresses to the original length of the body.

How to Calculate Actual Strain when Support Yields?

Actual Strain when Support Yields calculator uses Actual Strain = (Coefficient of Linear Expansion*Change in Temperature*Length of Bar-Yield Amount (Length))/Length of Bar to calculate the Actual Strain, The Actual Strain when Support Yields formula is defined as a measure of deformation representing the displacement between particles in the material body. When a material undergoes expansion or contraction, strain quantifies how much deformation has occurred compared to its original dimensions. When Support Yields occur, it means that the supports or constraints holding the material in place have given way, allowing the material to deform freely. Actual Strain is denoted by ε_A symbol.

How to calculate Actual Strain when Support Yields using this online calculator? To use this online calculator for Actual Strain when Support Yields, enter Coefficient of Linear Expansion (α_L), Change in Temperature (ΔT), Length of Bar (L_bar) & Yield Amount (Length) (δ) and hit the calculate button. Here is how the Actual Strain when Support Yields calculation can be explained with given input values -> 0.003 = (0.0005*10*2-0.004)/2.

FAQ

What is Actual Strain when Support Yields?

The Actual Strain when Support Yields formula is defined as a measure of deformation representing the displacement between particles in the material body. When a material undergoes expansion or contraction, strain quantifies how much deformation has occurred compared to its original dimensions. When Support Yields occur, it means that the supports or constraints holding the material in place have given way, allowing the material to deform freely and is represented as ε_A = (α_L*ΔT*L_bar-δ)/L_bar or Actual Strain = (Coefficient of Linear Expansion*Change in Temperature*Length of Bar-Yield Amount (Length))/Length of Bar. The Coefficient of Linear Expansion is a material property that measures the rate of change of the material's linear dimensions in response to a change in temperature, Change in Temperature is the difference between the final and initial temperature, Length of Bar typically refers to the physical measurement of the bar along its longest dimension & Yield Amount (Length) is the amount of plastic deformation that the material has undergone when under stress.

How to calculate Actual Strain when Support Yields?

The Actual Strain when Support Yields formula is defined as a measure of deformation representing the displacement between particles in the material body. When a material undergoes expansion or contraction, strain quantifies how much deformation has occurred compared to its original dimensions. When Support Yields occur, it means that the supports or constraints holding the material in place have given way, allowing the material to deform freely is calculated using Actual Strain = (Coefficient of Linear Expansion*Change in Temperature*Length of Bar-Yield Amount (Length))/Length of Bar. To calculate Actual Strain when Support Yields, you need Coefficient of Linear Expansion (α_L), Change in Temperature (ΔT), Length of Bar (L_bar) & Yield Amount (Length) (δ). With our tool, you need to enter the respective value for Coefficient of Linear Expansion, Change in Temperature, Length of Bar & Yield Amount (Length) and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Actual Strain?

In this formula, Actual Strain uses Coefficient of Linear Expansion, Change in Temperature, Length of Bar & Yield Amount (Length). We can use 2 other way(s) to calculate the same, which is/are as follows -

Actual Strain = Actual Expansion/Length of Bar
Actual Strain = Actual Expansion/Length of Bar

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