2a - Design of Spread Footing-usd Method

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    DESIGN OF SPREAD FOOTINGS

    (USD)

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    Probable pressure distribution beneath a rigid footing.

    On a cohesionless soil.

    Generally for cohesive soils.

    Usual assumed linear distribution.

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    Strength design requires converting working design dead ( D) and live ( L) loads toultimate loads through the use of load factors:

    0.19.0

    6.19.0

    0.10.12.1

    0.16.12.1

    6.12.1

    E D

    W D

    L E D

    LW D

    L D P u (a)

    (b)

    (c)

    (d)

    (e)

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    ELEMENTS OF USD

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    Minimum length of embedment L d for reinforcing bars in tension :

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    Development length for bond for compression bars is the largest of thefollowing:

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    Section for two-way shear (Punching shear)

    Section for wide-beam shear

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    Method of computing A 2 for allowable column bearing stress

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    STRUCTURAL DESIGN OF SPREAD FOOTINGS

    PUNCHING SHEAR (Two – way action)

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    BENDING MOMENT

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    Sections for computing bending moment.

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    ccol comp f A P

    compu P P

    LL DL P u 6.12.1

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    ADDITIONAL ACI CODE REQUIREMENTS FOR FOOTINGS:

    ART. 7.6 SPACING OF REINFORCEMENT Not less than (clear) • d b ; d b = (bar diameter)

    • 25 mm• 1.33 × maximum aggregate size

    But not more than • 3 × Dc ; D c = thickness of concrete• 450 mm

    7.7.1a MINIMUM REINFORCEMENT COVER - 75 mm Clear against earth

    7.12 & 10.5 MINIMUM REINFORCEMENT

    For footings of variable thickness

    For footings of uniform thickness

    y f

    40.1min

    002.0min

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    10.33 MAXIMUM REINFORCEMENT

    15.7 & 15.11.4 MINIMUM FOOTING DEPTH

    Not less than • 150 mm above bottom of reinforcement for footings on soil• 200 mm for plain concrete footings• 300 mm for footings on piles

    15.8 DOWELS• Area

    - Not less than .005A c ; A c = Area of column- Minimum of 4 bars for rectangular columns- Minimum of 6 bars for circular columns

    • Diameter

    - Not greater than 4 mm than the longitudinal

    y y

    cb

    b

    f f f

    600

    600'85.0

    75.0

    1

    max

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    12.2 DEVELOPMENT OF REINFORCEMENT IN TENSION

    D36

    or smaller →

    But not less than

    or 300 mm

    12.3 DEVELOPMENT OF REINFORCEMENT IN COMPRESSION

    But not less than

    or 200 mm

    '

    02.0

    c

    yb

    f

    f A

    yb f d 058.0

    '

    24.0

    c

    b yd

    f

    d f l

    b yd f 044.0

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    Illustrative Problem:

    Design a spread footing for the following data:kPaqa 200

    DL = 350 kN LL = 450 kN f c’ = 21 MPa

    Use grade 400 rebars ( f y = 400 MPa)

    Column data: 0.35 m × 0.35 m4 – 30 mm diameter bars

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    Seat Work:

    Design a spread footing for the following data:kPaqa 200

    DL = 350 kN LL = 550 kN f c’ = 21 MPa

    Use grade 400 rebars ( f y = 400 MPa)

    Column data: 0.30 m × 0.30 m4 – 32 mm diameter bars

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    END