Design of two way rigid slab - Example 10.1 of Book By Reinforced Concrete Structures _ Design according to CSA A23 By Challal and Lachami

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  • 8/3/2019 Design of two way rigid slab - Example 10.1 of Book By Reinforced Concrete Structures _ Design according to CSA

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    322 Chapter 10

    Step 8.

    a) Compute the cross-sectional area ofthe steel reinforcement required in thecolumn and middle strips for negativemoments (computed in Step 6).

    b) Compute the minimum reinforcement toensure structural integrity in the eventof shear failure as well as the cornerreinforcement, if applicable.

    c) Select bar diameter and spacing, takinginto account minimum requirements andpaying particular attention to simplicity

    of placement between strips (consider theiron worker-rodmen and site inspector).

    Draw up a computation table.

    See Figure 9.6 (Chapter 9) for cornerreinforcement.

    See Equation 10.39 for the minimumarea of reinforcement required forstructural integrity.

    As,min = 0.002Ag (Equation 10.38)

    See Table 10.4 for the maximumallowable spacing.

    Use Figure 10.14 for curtailment oftop and bottom reinforcement aswell as bar anchoring.

    Note. If slab thickness cannot be increased, drop panels or capitals can be economicalsolutions. If transverse reinforcement proves necessary, refer to Section 10.3.6c.

    10.5 Examples

    Example 10.1 Design of a Two-Way Slabon Non-Rigid Beams

    Problem Statement

    Consider a two-way slab supported on beams, as illustrated in Figure X10.1A. The clearheight between oors is 4 m. The columns are 300 mm 300 mm. All the beams are300 mm (bw) by 550 mm (htotal). In addition to its self-weight, the slab supports a deadload of 1 kPa and a live load of 4.8 kPa.

    Design the slab along centreline B and centreline 2, including reinforcements and theirspacing.

    Given: fc = 30 MPa;fy = 400 MPa; normal-density concrete (unit weight = 24 kN/m3;

    bc(slab) = 25 mm.

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    Two-Way Slabs: Direct-Design Method 323

    Figure X10.1A Example X10.1

    Solution

    Step 1. Determine whether the direct-design method can be used

    a)L

    L

    b

    a

    = =7500

    5500

    1 36. < 2.0 OK

    b) 11

    1

    1

    1

    = =

    EI

    EI

    I

    I

    b

    s

    b

    s

    22

    2

    2

    2

    = =

    EI

    EI

    I

    I

    b

    s

    b

    s

    SinceIb1 =Ib2, then:

    1

    2

    2

    1

    1

    2

    = =

    I

    I

    l

    l

    s

    s

    Therefore:

    1 2

    2

    2 1

    2

    1 2

    2

    2 1

    2

    2

    2

    7 500 5 50 0

    5 50 0 7 50 0

    l

    l

    l l

    l l= =

    = 00 73.

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    324 Chapter 10

    0 2 0 73 5 01 2

    2

    2 1

    2. . .< = =96 9 34 2. .kN kN OK