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Structural Concrete - Hassoun

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7.2 Development of Bond Stresses 259<br />

Figure 7.2 Bond stresses and development length. (a) Distribution of stress along I d<br />

and (b) radial stress in concrete around the bar.<br />

7.2.2 Tests for Bond Efficiency<br />

Tests to determine the bond stress capacity can be made using the pullout test (Fig. 7.2). This test<br />

evaluates the bond capacity of various types of bar surfaces relative to a specific embedded length.<br />

The distribution of tensile stresses will be uniform around the reinforcing bar at a specific section<br />

and varies along the anchorage length of the bar and at a radial distance from the surface of the bar<br />

(Fig. 7.2). However, this test does not represent the effective bond behavior in the surface of the<br />

bars in flexural members because stresses vary along the depth of the concrete section. A second<br />

type of test can be performed on an embedded rod (Fig. 7.3). In these tests, the tensile force, P,<br />

is increased gradually and the number of cracks and their spacings and widths are recorded. The<br />

bond stresses vary along the bar length between the cracks. The strain in the steel bar is maximum<br />

at the cracked section and decreases toward the middle section between cracks.<br />

Tests on flexural members are also performed to study the bond effectiveness along the surface<br />

of the tension bars. The analysis of bond stresses in the bars of these members was explained earlier,<br />

and they are represented by Eq. 7.2.<br />

Based on this discussion, it is important to choose an appropriate length in each reinforcing<br />

bar to develop its full yield strength without a failure in the bond strength. This length is called<br />

the development length, l d . If this length is not provided, the bond stresses in the tension zone of a<br />

beam become high enough to cause cracking and splitting in the concrete cover around the tension<br />

bars (Fig. 7.4). If the split continues to the end of the bar, the beam will eventually fail. Note that<br />

small spacings between tensile bars and a small concrete cover on the sides and bottom will reduce<br />

the bond capacity of the reinforcing bars (Fig. 7.4).

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