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Building Design and Construction Handbook - Merritt - Ventech!

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9.154 SECTION NINE<br />

that should be furnished for beams, one-way slabs, <strong>and</strong> two-way slabs, except for<br />

two-way flat plates, is<br />

A � 0.004A (9.135)<br />

s<br />

For two-way flat plates, where tension stress in the concrete under service loads is<br />

not greater than 2 �ƒ�, c bonded reinforcement is not required in positive moment<br />

areas. When the tension stress in the concrete under service load exceeds 2 �ƒ�, c<br />

the minimum amount of bonded reinforcement provided in positive moment areas<br />

should be<br />

Nc 0.5ƒy A � (9.136)<br />

s<br />

where A � area of that part of the cross section between the flexural tension face<br />

<strong>and</strong> centroid of gross section<br />

N c � tensile force in the concrete under actual dead load plus live load<br />

ƒ y � yield strength of bonded reinforcement, but not more than 60,000 psi<br />

In the negative moment regions of two-way flat plates at column supports, the<br />

minimum amount of bonded reinforcement provided in the top of the slab in each<br />

direction should be<br />

A � 0.00075A (9.137)<br />

s cƒ<br />

where A cƒ � larger gross cross-sectional area of the slab-beam strips of the two<br />

orthogonal equivalent frames intersecting at a column of a two-way<br />

flat plate<br />

The Code requires the bonded reinforcement computed by Eq. (9.137) to be distributed<br />

between lines that are 1.5h outside opposite faces of the column support,<br />

<strong>and</strong> that at least four bars be provided in each direction spaced not over 12 in,<br />

where h is the depth of the flat plate. Requirements are included in the Code for<br />

minimum lengths <strong>and</strong> extensions of the bonded reinforcement computed by Eqs.<br />

(9.135), (9.136) <strong>and</strong> (9.137).<br />

Grouting of Tendons. When posttensioned tendons are to be bonded, a cement<br />

grout is usually injected under pressure (80 to 100 psi) into the space between the<br />

tendon <strong>and</strong> the sheathing material of the duct. The grout can be inserted in holes<br />

in the anchorage heads <strong>and</strong> cones, or through buried pipes. To ensure filling of the<br />

space, the grout can be injected under pressure at one end of the member until it<br />

is forced out the other end. For long members, it can be injected at each end until<br />

it is forced out a vent between the ends.<br />

Grout provides bond between the posttensioning tendons <strong>and</strong> the concrete member<br />

<strong>and</strong> protects the tendons against corrosion.<br />

Members should be above 35�F in temperature at the time of grouting. This<br />

minimum temperature should be maintained until field-cured 2-in cubes of grout<br />

reach a minimum compressive strength of 800 psi.<br />

Tendon Sheaths. Ducts for grouted or unbonded tendons should be mortar-tight<br />

<strong>and</strong> nonreactive with concrete, tendons, or filler material. To facilitate injection of<br />

the grout, the duct should be at least 1 ⁄4 in larger than the diameter of a single<br />

posttensioning tendon. For multiple str<strong>and</strong>, bar or wire tendons, the duct should<br />

have an internal area at least twice the gross area of the prestressing steel.

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