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Actual Stress when Support Yields Formula

GoActual Stress given Support Yields for Value of Actual Strain Formula

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Actual Stress with Support Yield is the stress experienced by a material when there is some yielding or deformation in the supports holding the material. Check FAQs

σ a' = \frac{(α L \cdot ΔT \cdot L bar - δ) \cdot E bar}{L bar}

σ_a' - Actual Stress with Support Yield?α_L - Coefficient of Linear Expansion?ΔT - Change in Temperature?L_bar - Length of Bar?δ - Yield Amount (Length)?E_bar - Modulus of Elasticity of Bar?

Actual Stress when Support Yields Example

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Here is how the Actual Stress when Support Yields equation looks like with Values.

Here is how the Actual Stress when Support Yields equation looks like with Units.

Here is how the Actual Stress when Support Yields equation looks like.

0.63 = \frac{(0.0005 \cdot 10 \cdot 2000 - 4) \cdot 210}{2000}

0.63MPa = \frac{(0.0005K⁻¹ \cdot 10K \cdot 2000mm - 4mm) \cdot 210MPa}{2000mm}

0.63 = \frac{(0.0005 \cdot 10 \cdot 2000 - 4) \cdot 210}{2000}

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Actual Stress when Support Yields Solution

Follow our step by step solution on how to calculate Actual Stress when Support Yields?

FIRST Step Consider the formula

σ a' = \frac{(α L \cdot ΔT \cdot L bar - δ) \cdot E bar}{L bar}

Next Step Substitute values of Variables

∴

σ a' = \frac{(0.0005K⁻¹ \cdot 10K \cdot 2000mm - 4mm) \cdot 210MPa}{2000mm}

Next Step Convert Units

∴

σ a' = \frac{(0.0005K⁻¹ \cdot 10K \cdot 2m - 0.004m) \cdot 2.1E+8Pa}{2m}

Next Step Prepare to Evaluate

∴

σ a' = \frac{(0.0005 \cdot 10 \cdot 2 - 0.004) \cdot 2.1E+8}{2}

Next Step Evaluate

∴

σ a' = 630000Pa

LAST Step Convert to Output's Unit

∴

σ a' = 0.63MPa

Actual Stress when Support Yields Formula Elements

Variables

Actual Stress with Support Yield

Actual Stress with Support Yield is the stress experienced by a material when there is some yielding or deformation in the supports holding the material.

Symbol: σ_a'

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Actual Stress with Support Yield

Coefficient of Linear Expansion

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.

Symbol: α_L

Measurement: Coefficient of Linear ExpansionUnit: K⁻¹

Note: Value can be positive or negative.

Formulas to find Coefficient of Linear Expansion

Change in Temperature

Change in Temperature is the difference between the final and initial temperature.

Symbol: ΔT

Measurement: Temperature DifferenceUnit: K

Note: Value should be greater than 0.

Formulas to find Change in Temperature

Length of Bar

Length of Bar typically refers to the physical measurement of the bar along its longest dimension.

Symbol: L_bar

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Bar

Yield Amount (Length)

Yield Amount (Length) is the amount of plastic deformation that the material has undergone when under stress.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Yield Amount (Length)

Modulus of Elasticity of Bar

Modulus of Elasticity of Bar is a quantity that measures bar's resistance to being deformed elastically when a stress is applied to it.

Symbol: E_bar

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Bar

Other Formulas to find Actual Stress with Support Yield

Go Actual Stress given Support Yields for Value of Actual Strain

σ a' = ε A \cdot E bar

Other formulas in Thermal Stress category

Go Actual Strain given Support Yields for Value of Actual Expansion

ε A = \frac{AE}{L bar}

Go Actual Strain when Support Yields

ε A = \frac{α L \cdot ΔT \cdot L bar - δ}{L bar}

Go Actual Expansion when Support Yields

AE = α L \cdot L bar \cdot ΔT - δ

How to Evaluate Actual Stress when Support Yields?

Actual Stress when Support Yields evaluator uses 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 to evaluate the Actual Stress with Support Yield, The Actual Stress when Support Yields formula is defined as the stress experienced by a material when the support holding the material gives way or deforms. In structural analysis and strength of materials, this stress is significant because it represents the point at which the support no longer provides adequate resistance to the applied load, leading to additional deformation or potential failure of the structure or component. Actual Stress with Support Yield is denoted by σ_a' symbol.

How to evaluate Actual Stress when Support Yields using this online evaluator? To use this online evaluator for Actual Stress when Support Yields, enter Coefficient of Linear Expansion (α_L), Change in Temperature (ΔT), Length of Bar (L_bar), Yield Amount (Length) (δ) & Modulus of Elasticity of Bar (E_bar) and hit the calculate button.

FAQs on Actual Stress when Support Yields

What is the formula to find Actual Stress when Support Yields?

The formula of Actual Stress when Support Yields is expressed as 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. Here is an example- 6.3E-7 = ((0.0005*10*2-0.004)*210000000)/2.

How to calculate Actual Stress when Support Yields?

With Coefficient of Linear Expansion (α_L), Change in Temperature (ΔT), Length of Bar (L_bar), Yield Amount (Length) (δ) & Modulus of Elasticity of Bar (E_bar) we can find Actual Stress when Support Yields using the formula - 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.

What are the other ways to Calculate Actual Stress with Support Yield?

Here are the different ways to Calculate Actual Stress with Support Yield-

Actual Stress with Support Yield=Actual Strain*Modulus of Elasticity of Bar

Can the Actual Stress when Support Yields be negative?

No, the Actual Stress when Support Yields, measured in Pressure cannot be negative.

Which unit is used to measure Actual Stress when Support Yields?

Actual Stress when Support Yields is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Actual Stress when Support Yields can be measured.

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Actual Stress when Support Yields Formula

​GoActual Stress given Support Yields for Value of Actual Strain Formula

Actual Stress when Support Yields Example

Actual Stress when Support Yields Solution

Actual Stress when Support Yields Formula Elements

Other Formulas to find Actual Stress with Support Yield

Other formulas in Thermal Stress category

How to Evaluate Actual Stress when Support Yields?

FAQs on Actual Stress when Support Yields

Variable Name

GoActual Stress given Support Yields for Value of Actual Strain Formula