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CT4860 STRUCTURAL DESIGN OF PAVEMENTS

CT4860 STRUCTURAL DESIGN OF PAVEMENTS

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The irregular temperature results in internal concrete stresses, which are only<br />

relevant for very thick concrete slabs. For normal concrete slab thicknesses<br />

they also can be neglected.<br />

On the contrary, the temperature gradients ∆t cause flexural stresses in the<br />

concrete pavement that are in the same order of magnitude as those caused<br />

by the traffic loadings, and thus cannot be neglected at all. Paragraph 3.3.2<br />

deals with the magnitude and frequency of occurrence of temperature<br />

gradients. In 3.3.3 and 3.3.4 the calculation of the flexural stresses due to a<br />

temperature gradient will be discussed.<br />

3.3.2 Temperature gradients<br />

The temperature gradient ∆t is defined as (figure 9):<br />

T Tb<br />

∆ t =<br />

(13)<br />

h<br />

t −<br />

where: Tt = temperature (°C) at the top of the concrete layer<br />

Tb = temperature (°C) at the bottom of the concrete layer<br />

h = thickness (mm) of the concrete layer<br />

In case of a negative temperature gradient the concrete slab curls. Due to the<br />

deadweight of the concrete slab there are flexural tensile stresses at the top of<br />

the slab. Generally a negative temperature gradient (that occurs during night)<br />

is not taken into consideration in the design of a concrete pavement, because:<br />

- the negative gradient is smaller than the positive gradient (figure 10 and<br />

table 7)<br />

- during night there is only a small amount of heavy traffic<br />

- in the mostly dominating location of the concrete slab (in case of plain<br />

concrete pavements the centre of the longitudinal edge and in case of<br />

reinforced pavements along the transverse crack in the wheel track or in<br />

the centre of the slab width) the traffic loadings cause flexural compressive<br />

stresses at the top of the slab.<br />

A positive temperature gradient (that occurs during day) causes warping of<br />

the concrete slab. Due to the deadweight of the concrete slab, in this case<br />

there are flexural tensile stresses at the bottom of the slab. These stresses<br />

are called ‘warping stresses’.<br />

Table 8 shows the standard temperature gradient frequency distribution that is<br />

included in the current Dutch method for the structural design of concrete<br />

pavements (5).<br />

24

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