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Structural Concrete - Hassoun

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19.2 Materials and Serviceability Requirements 735<br />

Figure 19.4 Distribution of stresses in beams with varying amounts of prestressed and<br />

nonprestressed reinforcement.<br />

2. Class T (section in the transition zone), with 7.5 √ f ′ c < f t ≤ 12 √ f ′ c. This type of section has a<br />

tensile stress in concrete higher than the modulus of rupture of concrete, f r = 7.5 √ f ′ c, producing<br />

a case between uncracked and cracked sections. In this case, the gross section properties<br />

are used to check stresses, while the cracked section bilinear section is used to calculate deflection.<br />

No skin reinforcement is needed in the tension zone.<br />

3. Class C (cracked section), with f t > 12 √ f ′ c. The tensile stress in the section exceeds 1.6 times<br />

the modulus of rupture. Therefore, cracks will develop as in the case of partially prestressed<br />

concrete members. In this case a cracked section properties should be used to check stresses,<br />

cracking, and deflection. Crack control provisions and skin reinforcement should be used as<br />

explained in Section 6.7 for reinforced concrete members with the effective depth of d > 36 in.<br />

19.2 MATERIALS AND SERVICEABILITY REQUIREMENTS<br />

19.2.1 <strong>Concrete</strong><br />

The physical properties of concrete were discussed in Chapter 2. Although reinforced concrete<br />

members are frequently made of concrete with a compressive strength of 3 to 5 ksi (21 to 35 MPa),<br />

prestressed concrete members are made of higher strength material, usually from 4 to 8 ksi (28 to<br />

56 MPa). High-strength concrete may be adopted for precast, prestressed concrete members where<br />

components are prepared under optimum control of mixing concrete, placing, vibrating, and curing.<br />

The allowable stresses in concrete according to the ACI Code, Section 24.5.3, are as follows.<br />

1. Stresses after prestress transfer and before prestress losses:<br />

a. Maximum compressive stress of 0.6 f ′ ci<br />

b. Maximum compressive stress at ends of simply supported 0.7 f ′ ci

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