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Structural Concrete - Hassoun

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726 Chapter 19 Introduction to Prestressed <strong>Concrete</strong><br />

Wires and strands can be tensioned in groups, whereas bars are tensioned one at a time. In the<br />

posttensioning process, the steel tendons are placed in the formwork before the concrete is cast<br />

and the tendons are prevented from bonding to the concrete by waterproof paper wrapping or<br />

a metal duct (sheath). Tendons bonded to the concrete are called bonded tendons. Unbonded<br />

tendons, left without grout or coated with grease, have no bond throughout the length of the<br />

tendon.<br />

2. Pretensioning: In pretensioning, the steel tendons are tensioned before the concrete is cast.<br />

The tendons are temporarily anchored against some abutments and then cut or released after<br />

the concrete has been placed and hardened. The prestressing force is transferred to the concrete<br />

by the bond along the length of the tendon. Pretensioning is generally done in precasting<br />

plants in permanent beds, which are used to produce pretensioned precast concrete elements<br />

for the building industry.<br />

3. External prestressing: In external prestressing, the prestressing force is applied by flat jacks<br />

placed between the concrete member ends and permanent rigid abutments. The member<br />

does not contain prestressing tendons, as in the previous two methods (also called internal<br />

prestressing). External prestressing is not easy in practice because shrinkage and creep in<br />

concrete tend to reduce the induced compressive stresses unless the prestressing force can be<br />

adjusted.<br />

The profile of the tendons may be straight, curved (bent), or circular, depending on the design<br />

of the structural member. Straight tendons are generally used in solid and hollow-cored slabs,<br />

whereas bent tendons are used in beams and most structural members. Circular tendons are used in<br />

circular structures such as tanks, silos, and pipes. The prestressing force may be applied in one or<br />

more stages, either to avoid overstressing concrete or in cases when the loads are applied in stages.<br />

In this case, part of the tendons are fully prestressed at each stage.<br />

A considerable number of prestressing systems have been devised, among them Freyssinet,<br />

Magnel Blaton, B.B.R.V., Dywidag, CCL, Morandi, VSL, Western <strong>Concrete</strong>, Prescon, and<br />

INRYCO. The choice of the prestressing system for a particular job can sometimes be a problem.<br />

The engineer should consider three main factors that govern the choice of the system:<br />

1. The magnitude of the prestressing force required.<br />

2. The geometry of the section and the space available for the tendons.<br />

3. Cost of the prestressing system (materials and labor).<br />

The following example illustrates some of the features of prestressed concrete.<br />

Example 19.1<br />

For the simply supported beam shown in Fig. 19.2, determine the maximum stresses at midspan section<br />

due to its own weight and the following cases of loading and prestressing:<br />

1. A uniform live load of 900 lb/ft.<br />

2. A uniform live load of 900 lb/ft and an axial centroidal longitudinal compressive force of<br />

P = 259.2 K.<br />

3. A uniform live load of 2100 lb/ft and an eccentric longitudinal compressive force P = 259.2 K<br />

acting at an eccentricity e = 4in.<br />

4. A uniform live load of 2733 lb/ft and an eccentric longitudinal compressive force P = 259.2 K<br />

acting at the maximum practical eccentricity for this section (e = 6in.).<br />

5. The maximum live load when P = 259.2 K acting at e = 6in.

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