Quick Answer
The cryogenic piping axial thermal stress (linear coefficient model) calculator computes axial thermal stress from the input values you provide.
Calculator
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Find Engineering Solutions →Result Interpretation
Cryogenic Piping Axial Thermal Stress (Linear Coefficient Model) calculator computes Axial Thermal Stress in Pa using the defined engineering formula and the input values provided. Axial Thermal Stress is expressed in Pa. No universal acceptance threshold is defined by this calculator.
Worked Example
Verified calculation
Given:
- Young's Modulus = 193000000000
- Linear Thermal Expansion Coefficient = 1.7E-5
- Initial Temperature = 293.15
- Operating Cryogenic Temperature = 77.36
Expected Result:
- Axial Thermal Stress = 708006990
Engineering Interpretation:
Under the given input conditions, the calculated result is: Axial Thermal Stress = 708006990 Pa.
The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from deterministically validated test cases.
Formula / Method
axial thermal stress = young's modulus * linear thermal expansion coefficient * (initial temperature - operating cryogenic temperature)Axial Thermal Stress.
Variables
| Symbol | Label | Role | Description |
|---|---|---|---|
| E | Young's Modulus | INPUT | Young's Modulus |
| alpha | Linear Thermal Expansion Coefficient | INPUT | Linear Thermal Expansion Coefficient |
| T_initial | Initial Temperature | INPUT | Initial Temperature |
| T_operating | Operating Cryogenic Temperature | INPUT | Operating Cryogenic Temperature |
| axial_thermal_stress | Axial Thermal Stress | OUTPUT | Axial Thermal Stress |
Calculation Steps
- Enter the young's modulus in Pa.
- Enter the linear thermal expansion coefficient in 1/K.
- Enter the initial temperature in K.
- Enter the operating cryogenic temperature in K.
- Step 1: Compute axial thermal stress.
- Read the axial thermal stress (Pa) from the results.
Frequently Asked Questions
What does this calculator calculate?
The Cryogenic Piping Axial Thermal Stress (Linear Coefficient Model) calculator estimates Axial Thermal Stress based on the input parameters you provide
Why is young's modulus important in this calculation?
young's modulus is directly proportional to axial thermal stress. When you enter young's modulus in Pa, the calculator uses it in the engineering formula to compute the output
How should I interpret the result axial thermal stress?
The calculator outputs axial thermal stress in Pa. For higher pressures, divide by 1000 to express in kPa, or by 101325 for atmospheres. The result is computed directly from the input values using the defined engineering formula
What units should I use for the inputs?
Enter each value in the units shown next to the input field: Young's Modulus (Pa), Linear Thermal Expansion Coefficient (1/K), Initial Temperature (K), Operating Cryogenic Temperature (K). Make sure all inputs use the specified units for consistent results
What assumptions does this calculator use?
This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment
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