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Building Services Engineering 5th Edition Handbook

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Heat loss calculations 65<br />

Table 3.7 Data for Example 3.4.<br />

Element Length l (m) λ (W/mK) R (m 2 K/W)<br />

Previous ∑ R 0.606<br />

Less R a −0.180<br />

Net 0.426<br />

UF foam 0.050 0.040<br />

∑<br />

1.250<br />

R = 1.676<br />

EXAMPLE 3.5<br />

In a concrete-framed commercial building the external walling of brick has a U value of<br />

1.8 W/m 2 K. The building has a gross perimeter of 180 m and is 3.6 m high. Thirty dense<br />

concrete pillars 180 mm wide penetrate the walling from inside to outside. The exposure<br />

is normal and the wall thickness is 300 mm.<br />

Find the overall U value.<br />

Thermal conductivity of the concrete pillar λ = 1.40 W/mK.<br />

For the concrete pillar:<br />

1<br />

U 2 =<br />

R si + (l/λ) + R so<br />

1<br />

=<br />

0.12 + (0.30/1.40) + 0.06 W/m2 K<br />

= 2.54 W/m 2 K<br />

surface area of pillars = 30 × 0.180 × 3.6 m 2<br />

= 19.44 m 2<br />

gross wall area = 180 × 3.6 m 2<br />

= 648 m 2<br />

P 2 (pillars) = 19.44<br />

648 = 0.03<br />

P 2 (walling) =<br />

648 − 19.44<br />

648<br />

= 0.97<br />

Thus the overall value of U is given by:<br />

U = (0.97 × 1.8) + (0.03 × 2.54) W/m 2 K<br />

= 1.82 W/m 2 K

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