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Fiberglass insulation is widely used in buildings for thermal regulation. Understanding how it expands and contracts with temperature changes is important for proper installation and performance. This case study explores the process of calculating thermal expansion in fiberglass insulation.
Understanding Thermal Expansion
Thermal expansion refers to the increase in material size when temperature rises. For fiberglass insulation, this expansion can affect fit and effectiveness if not properly accounted for during installation.
Calculating Expansion Coefficient
The coefficient of thermal expansion (CTE) measures how much a material expands per degree of temperature change. For fiberglass, typical CTE values range from 8 to 12 x 10-6 per °C.
Example Calculation
Suppose a fiberglass panel is 2 meters long at 20°C. If the temperature increases to 40°C, and the CTE is 10 x 10-6 per °C, the expansion can be calculated as:
- Temperature change (ΔT): 20°C
- Expansion (ΔL): L × CTE × ΔT
- Calculation: 2 m × 10 × 10-6 × 20 = 0.004 m
The fiberglass panel will expand by approximately 4 millimeters under these conditions.