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Thermal Expansion Calculator

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Input Parameters

Unit System

Results

Thermal Expansion

1
Expansion in
100
Final Length ft
0
Expansion Coefficient /°F

Expansion Breakdown

Expansion1.01 in(100%)
Final Length100 ft(100%)

Expansion Analysis

Calculation Steps

1

Calculate Temperature Difference

Formula:
ΔT=Tfinal−Tinitial\Delta T = T_{final} - T_{initial}
Calculation:
ΔT=200−70\Delta T = 200 - 70
Result:
130.0 °F130.0 \text{ °F}
2

Material Expansion Coefficient

Formula:
α=6.50e−6\alpha = 6.50e-6
Calculation:
α=6.50e−6/°F\alpha = 6.50e-6 /°F
Result:
6.50e−6 /°F6.50e-6 \text{ /°F}
3

Calculate Thermal Expansion

Formula:
ΔL=L×α×ΔT\Delta L = L \times \alpha \times \Delta T
Calculation:
ΔL=100.00×6.50e−6×130.0\Delta L = 100.00 \times 6.50e-6 \times 130.0
Result:
0.084500 ft0.084500 \text{ ft}
4

Convert Expansion to Display Units

Formula:
ΔLin=ΔLft×12\Delta L_{in} = \Delta L_{ft} \times 12
Calculation:
ΔLin=0.084500×12\Delta L_{in} = 0.084500 \times 12
Result:
1.014 in1.014 \text{ in}
5

Calculate Final Length

Formula:
Lf=L0+ΔLL_f = L_0 + \Delta L
Calculation:
Lf=100.00+0.084500L_f = 100.00 + 0.084500
Result:
100.0845 ft100.0845 \text{ ft}