Stress Due To Temperature Change Calculator

Formula Used:

\[ \sigma = \alpha_{thermal} \times e \times \Delta T \]

Coefficient of Thermal Expansion:

Per Kelvin

Elastic Modulus:

Pascal

Change in Temperature:

Kelvin

Stress due to Temperature Change:

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1. What is Stress due to Temperature Change?

Stress due to Temperature Change is the stress developed in materials due to temporal variation in temperature. It occurs when thermal expansion or contraction is constrained, leading to internal stresses within the material.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \sigma = \alpha_{thermal} \times e \times \Delta T \]

Where:

\( \sigma \) — Stress due to Temperature Change (Pascal)
\( \alpha_{thermal} \) — Coefficient of Thermal Expansion (Per Kelvin)
\( e \) — Elastic Modulus (Pascal)
\( \Delta T \) — Change in Temperature (Kelvin)

Explanation: The formula calculates the thermal stress that develops when a material is prevented from expanding or contracting freely due to temperature changes.

3. Importance of Stress Calculation

Details: Accurate thermal stress calculation is crucial for designing structures and components that experience temperature variations, preventing failure due to thermal expansion or contraction.

4. Using the Calculator

Tips: Enter the coefficient of thermal expansion in Per Kelvin, elastic modulus in Pascal, and temperature change in Kelvin. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What causes stress due to temperature change?
A: Thermal stress occurs when a material expands or contracts due to temperature changes but is constrained from doing so freely, creating internal stresses.

Q2: How can thermal stress be reduced?
A: Thermal stress can be reduced by using expansion joints, choosing materials with lower thermal expansion coefficients, or allowing for free expansion/contraction.

Q3: What materials are most affected by thermal stress?
A: Materials with high coefficients of thermal expansion and high elastic moduli are most susceptible to significant thermal stresses.

Q4: Can thermal stress cause material failure?
A: Yes, excessive thermal stress can lead to cracking, deformation, or complete failure of materials and structures.

Q5: Is this calculation applicable to all materials?
A: This calculation applies to linear elastic materials experiencing uniform temperature changes and constrained deformation.