Actual Stress when Support Yields Solution

STEP 0: Pre-Calculation Summary
Formula Used
Actual Stress = ((Coefficient of Linear Expansion*Change in Temperature*Length of Bar-Yield Amount (Length))*Modulus of Elasticity of Bar)/Length of Bar
σA = ((αL*ΔT*Lbar-δ)*Ebar)/Lbar
This formula uses 6 Variables
Variables Used
Actual Stress - (Measured in Pascal) - Actual stress is the stress developed due to change in the temperature of the body.
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.
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 is defined as the total length of the Bar.
Yield Amount (Length) - (Measured in Meter) - Yield Amount (Length) is the amount of plastic deformation that the material has undergone when under stress.
Modulus of Elasticity of Bar - (Measured in Pascal) - Modulus of Elasticity of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it.
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)
Modulus of Elasticity of Bar: 210 Megapascal --> 210000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σA = ((αL*ΔT*Lbar-δ)*Ebar)/Lbar --> ((0.0005*10*2-0.004)*210000000)/2
Evaluating ... ...
σA = 630000
STEP 3: Convert Result to Output's Unit
630000 Pascal -->0.63 Megapascal (Check conversion here)
FINAL ANSWER
0.63 Megapascal <-- Actual Stress
(Calculation completed in 00.020 seconds)

Credits

Created by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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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

4 Actual Stress and Strain 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 Stress given Support Yields for Value of Actual Strain
Go Actual Stress = Actual Strain*Modulus of Elasticity of Bar
Actual Strain given Support Yields for Value of Actual Expansion
Go Actual Strain = Actual Expansion/Length of Bar

Actual Stress when Support Yields Formula

Actual Stress = ((Coefficient of Linear Expansion*Change in Temperature*Length of Bar-Yield Amount (Length))*Modulus of Elasticity of Bar)/Length of Bar
σA = ((αL*ΔT*Lbar-δ)*Ebar)/Lbar

What is coefficient of linear expansion?

The coefficient of linear expansion can be defined as the increase in length per unit length when the temperature is raised by 1°C.

How to Calculate Actual Stress when Support Yields?

Actual Stress when Support Yields calculator uses Actual Stress = ((Coefficient of Linear Expansion*Change in Temperature*Length of Bar-Yield Amount (Length))*Modulus of Elasticity of Bar)/Length of Bar to calculate the Actual Stress, The Actual Stress when Support Yields formula is defined as the product of actual strain and modulus of elasticity. Actual Stress is denoted by σA symbol.

How to calculate Actual Stress when Support Yields using this online calculator? To use this online calculator for Actual Stress when Support Yields, enter Coefficient of Linear Expansion L), Change in Temperature (ΔT), Length of Bar (Lbar), Yield Amount (Length) (δ) & Modulus of Elasticity of Bar (Ebar) and hit the calculate button. Here is how the Actual Stress when Support Yields calculation can be explained with given input values -> 6.3E-7 = ((0.0005*10*2-0.004)*210000000)/2.

FAQ

What is Actual Stress when Support Yields?
The Actual Stress when Support Yields formula is defined as the product of actual strain and modulus of elasticity and is represented as σA = ((αL*ΔT*Lbar-δ)*Ebar)/Lbar or Actual Stress = ((Coefficient of Linear Expansion*Change in Temperature*Length of Bar-Yield Amount (Length))*Modulus of Elasticity of Bar)/Length of Bar. The Coefficient of Linear Expansion is the ratio of increase in length to original length per degree rise in temperature, Change in Temperature is the difference between the final and initial temperature, Length Of Bar is defined as the total length of the Bar, Yield Amount (Length) is the amount of plastic deformation that the material has undergone when under stress & Modulus of Elasticity of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it.
How to calculate Actual Stress when Support Yields?
The Actual Stress when Support Yields formula is defined as the product of actual strain and modulus of elasticity is calculated using Actual Stress = ((Coefficient of Linear Expansion*Change in Temperature*Length of Bar-Yield Amount (Length))*Modulus of Elasticity of Bar)/Length of Bar. To calculate Actual Stress when Support Yields, you need Coefficient of Linear Expansion L), Change in Temperature (ΔT), Length of Bar (Lbar), Yield Amount (Length) (δ) & Modulus of Elasticity of Bar (Ebar). With our tool, you need to enter the respective value for Coefficient of Linear Expansion, Change in Temperature, Length of Bar, Yield Amount (Length) & Modulus of Elasticity of Bar 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 Stress?
In this formula, Actual Stress uses Coefficient of Linear Expansion, Change in Temperature, Length of Bar, Yield Amount (Length) & Modulus of Elasticity of Bar. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Actual Stress = Actual Strain*Modulus of Elasticity of Bar
  • Actual Stress = Actual Strain*Modulus of Elasticity of Bar
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