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Main >> Applications >> Sample problems

Calculation of the shallow foundation thermal resistance - QuickField simulation example

Using the shallow foundation to compare with the traditional deep foundation allows reduction of the expenses on building materials, work time and the cost of the project. But in the cold climate shallow foundations require additional thermal insulation. EPS plate placed directly under the foundation is one of these methods.

Engineering question

How to find heat loss through shallow building foundation?

Engineering answer
Set up a plane-parallel QuickField Steady-state Heat Transfer problem for a shallow building foundation and evaluate heat loss from computed field results.

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Typical applications
building foundations, ground-contact floors, foundation insulation systems

Shallow foundation

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Simulation problem

Problem Type
Steady-state heat transfer.

Geometry
Shallow foundation thermal resistance Shallow foundations require additional thermal insulation. EPS plate placed directly under the foundation. Soil Concrete Insulation Gravel T=+20°C T=-20°C

Given
Temperature inside (upper edge of the foundation): T1 = +20 °C;
Temperature outside (ground surface): T2 = -20 °C;

Task
Compare thermal resistance of the shallow foundation with the insulation plate and without the plate.

Solution
Thermal resistance can be calculated as a ratio of the temperature difference value and the heat flux value.

Results
Insulation plate reduces heat losses by 10%:

Design Temperature difference (°C) Heat flux (W) Thermal resistance(°C/W)
Insulated 40 72.97 0.55
Without insulation 40 81.15 0.49

Temperature distribution in the shallow foundation:

  • Insulated
    shallow foundation with insulationtemperature scale
  • Without insulation
    shallow foundation heat lossestemperature scale
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