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MEP-Technical Manual CDN 0408.qxd - Hambro

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DESIGN PRINCIPLES AND CALCULATIONS<br />

4. DESIGN PRINCIPLES AND CALCULATIONS<br />

4.1 SLAB DESIGN<br />

4.1.1 THE HAMBRO SLAB<br />

The slab component of the <strong>Hambro</strong> Composite Floor System<br />

behaves as a continuous one-way slab carrying loads<br />

transversely to the joists, and often is required to also act<br />

as a diaphragm carrying lateral loads to shear walls or<br />

other lateral load resisting elements.<br />

The slab design is based on CSA Standard A23.3-04, Design<br />

of Concrete Structures which stipulates that in order to<br />

provide adequate safety level, the factored effects shall be<br />

less than the factored resistance.<br />

� S ≤ ø R<br />

Where � = load factor, taking into account the probability<br />

of exceeding the specified load<br />

S = load effect (dead or live)<br />

ø = performance factor<br />

R = member resistance<br />

4.1.2. EFFECTS OF LOADING<br />

The Canadian concrete code (CSA Standard A23.3-04)<br />

cl. 9.2.3.1. requires that we consider dead load to act simultaneously<br />

with the live load applied on:<br />

i) Adjacent spans (maximum negative moment at support)<br />

or<br />

ii) Alternate spans (maximum positive moment at mid-span).<br />

However, if criteria (a) thru (c) of cl. 9.3.3. are satisfied, the<br />

following approximate value may be used in the design of<br />

one-way slabs. Refer to fig. 4 for location of the design<br />

moments.<br />

4.1.2.1 POSITIVE MOMENT<br />

Extra mesh at 1 & 2<br />

when required<br />

1<br />

Spacing S1<br />

S2 /3<br />

Spacing S2<br />

Fig. 4<br />

Exterior span:<br />

M f = W f L 1 2 / 11 ... Location �<br />

Interior span:<br />

M f = W f L i 2 / 16 ... Location �<br />

4.1.2.2 NEGATIVE MOMENT<br />

First interior support:<br />

Mf = Wf L2 / 10 ... Location �<br />

At other interior supports:<br />

M f = W f L 2 / 11 ... Location �<br />

4.1.2.3 SHEAR<br />

At face of first interior support:<br />

Vf = 1.15 Wf L1 / 2 ... Location �<br />

At other interior supports:<br />

V f = W f L i / 2 ... Location �<br />

Where W f = Total factored design load<br />

= 1.25 x dead + 1.5 x live<br />

L1 = First interior span<br />

Li = Interior spans<br />

L = Average of two adjacent spans<br />

Note: L is clear span (mm)<br />

S is joist spacing (mm)<br />

L = (S) - 45<br />

2 4<br />

4 Location<br />

indexing<br />

numbers<br />

3 3<br />

Spacing Si<br />

1

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