Pile Cap Configurations

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    CHAPTER 7: Reinforced Concrete Column and Wall Footings

    7.3 Pile Cap Configurations

    Description

    This application calculates pile coordinates and pile cap plan dimensions for pile groups with 2 to 20 piles.The purpose of this application is to show the pile group layout, pile coordinates and plan dimensions used in

    Section 7.2 for selecting pile cap depth and reinforcement.

    The user must enter the minimum pile spacing, factors for rounding pile coordinates and pile cap plan

    dimensions to practical dimensions, and the minimum edge distance from center of pile to outside face of

    concrete.

    Input

    Notation

    Input Variables

    Minimum pile spacing: s 3

    Factor for rounding pile spacing: SzP 1

    2

    Factor for rounding pile cap dimensions: SzD 1

    Minimum edge distance from center of pile: E +1 3

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    Pile Group P3

    X3

    +s 2 E Y3

    +s2 2 E

    =X3

    5.5 ft =Y3

    5.125 ft

    P3

    x3

    T

    s0 s

    2

    s

    2

    =

    T

    x3

    0 1.5 1.5 ft

    y3

    T

    2 s2

    3

    s2

    3

    s2

    3

    =

    T

    y3

    1.75 0.875 0.875 ft

    Angle between the centerline of the two piles in the base row and a centerline drawn between either of the two

    piles in the base row to the pile at the apex of the 3 pile group:

    atan

    2 s2

    s

    = 60.255 deg

    Dimension A rounded up to a multiple of SzD:

    A SzD ceil

    2 E

    1

    sin

    1

    tan

    SzD

    =A 18 in

    Dimension B rounded up to a multiple of SzD:

    B SzD ceil

    E

    +1 tan

    1

    sin 1

    SzD

    =B 19 in

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    Pile Group P4

    X4

    +s 2 E Y4

    +s 2 E

    =X4

    5.5 ft =Y4

    5.5 ft

    P4

    x4

    T

    s

    2

    s

    2

    s

    2

    s

    2

    =T

    x4

    1.5 1.5 1.5 1.5 ft

    y4

    T

    s

    2

    s

    2

    s

    2

    s

    2

    =

    T

    y4

    1.5 1.5 1.5 1.5 ft

    Pile Group P5

    X5

    +s1 2 E Y5

    +s1 2 E

    =X5

    6.75 ft =Y5

    6.75 ft

    P5

    x5

    T

    s1

    2

    s1

    2s0

    s1

    2

    s1

    2

    =T

    x5

    2.125 2.125 0 2.125 2.125 ft

    y5

    T

    s1

    2

    s1

    2s0

    s1

    2

    s1

    2

    =T

    y5

    2.125 2.125 0 2.125 2.125 ft

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    Pile Group P6

    X6

    2 +s E Y6

    +s 2 E

    =X6

    8.5 ft =Y6

    5.5 ft

    P6x

    6 T

    s s 0 s s s 0 s

    =T

    x6

    3 0 3 3 0 3 ft

    y6

    T

    s

    2

    s

    2

    s

    2

    s

    2

    s

    2

    s

    2

    =T

    y6

    1.5 1.5 1.5 1.5 1.5 1.5 ft

    Pile Group P7

    X7

    2 +s E Y7

    2 +s2 E

    =X7

    8.5 ft =Y7

    7.75 ft

    P7

    x7

    T

    s

    2

    s

    2 s s 0 s s

    2

    s

    2

    =T

    x7

    1.5 1.5 3 0 3 1.5 1.5 ft

    y7 T

    s2 s2 s0 s0 s0 s2 s2

    =T

    y7

    2.625 2.625 0 0 0 2.625 2.625 ft

    Pile Group P8

    X8

    2 +s E Y8

    2 +s2 E

    =X8

    8.5 ft =Y8

    7.75 ft

    P8

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    x8

    T

    s s 0 s s

    2

    s

    2s s 0 s

    =T

    x8

    3 0 3 1.5 1.5 3 0 3 ft

    y 8 T

    s2 s2 s2 s0 s0 s2 s2 s2

    =T

    y8

    2.625 2.625 2.625 0 0 2.625 2.625 2.625 ft

    Pile Group P9

    X9

    2 +s E Y9

    2 +s E

    =X9

    8.5 ft =Y9

    8.5 ft

    x9 T

    s s 0 s s s 0 s s s 0 s

    P9

    =T

    x9

    3 0 3 3 0 3 3 0 3 ft

    y9 T

    s s s s 0 s 0 s 0 s s s

    =

    T

    y9

    3 3 3 0 0 0 3 3 3 ft

    Pile Group P10

    X10

    +3 s 2 E Y10

    2 +s2 E

    =X10

    11.5 ft =Y10

    7.75 ft

    P10x

    10 T

    s s 0 s 3 s

    2

    s

    2

    s

    2

    3 s

    2s s 0 s

    =T

    x10

    3 0 3 4.5 1.5 1.5 4.5 3 0 3 ft

    y10 T

    s2 s2 s2 s0 s0 s0 s0 s2 s2 s2

    =T

    y10

    2.625 2.625 2.625 0 0 0 0 2.625 2.625 2.625 ft

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    Pile Group P11

    X11

    +3 s 2 E Y11

    2 +s2 E

    =X11

    11.5 ft =Y11

    7.75 ft

    P11

    x11

    T

    3 s

    2

    s

    2

    s

    2

    3 s

    2s s 0 s

    3 s

    2

    s

    2

    s

    2

    3 s

    2

    =T

    x11

    4.5 1.5 1.5 4.5 3 0 3 4.5 1.5 1.5 4.5 ft

    y11 T

    s2 s2 s2 s2 s0 s0 s0 s2 s2 s2 s2

    =T

    y11

    2.625 2.625 2.625 2.625 0 0 0 2.625 2.625 2.625 2.625 ft

    Pile Group P12

    X12

    +3 s 2 E Y12

    2 +s E

    =X12

    11.5 ft =Y12

    8.5 ft

    P12

    x12

    T

    3 s

    2

    s

    2

    s

    2

    3 s

    2

    3 s

    2

    s

    2

    s

    2

    3 s

    2

    3 s

    2

    s

    2

    s

    2

    3 s

    2

    =T

    x12

    4.5 1.5 1.5 4.5 4.5 1.5 1.5 4.5 4.5 1.5 1.5 4.5 ft

    y 12 Ts s s s s 0 s 0 s 0 s 0 s s s s

    =T

    y12

    3 3 3 3 0 0 0 0 3 3 3 3 ft

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    Pile Group P13

    X13

    2 +2 s2 E Y13

    2 +s E

    =X13

    13 ft =Y13

    8.5 ft

    P13

    x13 T

    2 s2 s0 2 s2 s2 s2 2 s2 s0 2 s2 s2 s2 2 s2 s0 2 s2

    =T

    x13

    5.25 0 5.25 2.625 2.625 5.25 0 5.25 2.625 2.625 5.25 0 5.25 ft

    y13

    T

    s s s s

    2

    s

    2s0 s0 s0

    s

    2

    s

    2s s s

    =T

    y13

    3 3 3 1.5 1.5 0 0 0 1.5 1.5 3 3 3 ft

    Pile Group P14

    X14

    +3 s 2 E Y14

    2 +s3 E

    =X14

    11.5 ft =Y14

    10.75 ft

    P14

    x14

    T

    s s 0 s 3 s

    2

    s

    2

    s

    2

    3 s

    2

    3 s

    2

    s

    2

    s

    2

    3 s

    2s s 0 s

    =T

    x14

    3 0 3 4.5 1.5 1.5 4.5 4.5 1.5 1.5 4.5 3 0 3 ft

    y14

    T

    s3 s3 s3 s

    2

    s

    2

    s

    2

    s

    2

    s

    2

    s

    2

    s

    2

    s

    2s3 s3 s3

    =T

    y14

    4.125 4.125 4.125 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 4.125 4.125 4.125 ft

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    Pile Group P15

    X15

    +4 s 2 E Y15

    2 +s E

    =X15

    14.5 ft =Y15

    8.5 ft

    P15

    x15 T

    2 s s s 0 s 2 s 2 s s s 0 s 2 s 2 s s s 0 s 2 s

    =T

    x15

    6 3 0 3 6 6 3 0 3 6 6 3 0 3 6 ft

    y15 T

    s s s s s s 0 s 0 s 0 s 0 s 0 s s s s s

    =

    T

    y15

    3 3 3 3 3 0 0 0 0 0 3 3 3 3 3 ft

    Pile Group P16

    X16

    +3 s 2 E Y16

    +3 s 2 E

    =X16

    11.5 ft =Y16

    11.5 ft

    P16

    x16

    T

    3 s

    2

    s

    2

    s

    2

    3 s

    2

    3 s

    2

    s

    2

    s

    2

    3 s

    2

    3 s

    2

    s

    2

    s

    2

    3 s

    2

    3 s

    2

    s

    2

    s

    2

    3 s

    2

    =T

    x16

    4.5 1.5 1.5 4.5 4.5 1.5 1.5 4.5 4.5 1.5 1.5 4.5 4.5 1.5 1.5 4.5

    y16

    T

    3 s

    2

    3 s

    2

    3 s

    2

    3 s

    2

    s

    2

    s

    2

    s

    2

    s

    2

    s

    2

    s

    2

    s

    2

    s

    2

    3 s

    2

    3 s

    2

    3 s

    2

    3 s

    2

    =T

    y16

    4.5 4.5 4.5 4.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 4.5 4.5 4.5 4.5

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    Pile Group P17

    X17

    +4 s2 2 E Y17

    +3 s 2 E

    =X17

    13 ft =Y17

    11.5 ft

    P17

    x17 T

    s2 s2 2 s2 s0 2 s2 s2 s2 2 s2 s0 2 s2 s2 s2 2 s2 s0 2 s2 s2 s2

    =T

    x17

    2.625 2.625 5.25 0 5.25 2.625 2.625 5.25 0 5.25 ft

    y17

    T

    3 s

    2

    3 s

    2s s s

    s

    2

    s

    2s0 s0 s0

    s

    2

    s

    2s s s

    3 s

    2

    3 s

    2

    =T

    y17

    4.5 4.5 3 3 3 1.5 1.5 0 0 0 1.5 1.5 3 3 3 4.5 4.5 ft

    Pile Group P18

    X18

    +4 s2 2 E Y18

    +3 s 2 E

    =X18

    13 ft =Y18

    11.5 ft

    P18

    x18 T

    2 s2 s0 2 s2 s2 s2 2 s2 s0 2 s2 s2 s2 2 s2 s0 2 s2 s2 s2 2 s2 s0 2 s2

    =T

    x 18 5.25 0 5.25 2.625 2.625 5.25 0 5.25 2.625 2.625 5.25 0 5.25 2.625 ft

    y18

    T

    3 s

    2

    3 s

    2

    3 s

    2s s

    s

    2

    s

    2

    s

    2s0 s0

    s

    2

    s

    2

    s

    2s s

    3 s

    2

    3 s

    2

    3 s

    2

    =T

    y18

    4.5 4.5 4.5 3 3 1.5 1.5 1.5 0 0 1.5 1.5 1.5 3 3 4.5 4.5 4.5 ft

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    Pile Group P19

    X19

    2 ++s s2 E Y19

    +3 s 2 E

    =X19

    13.75 ft =Y19

    11.5 ft

    P19

    x19 T

    s4 s2 s2 s4 s0 s4 s2 s2 s4 s0 s4 s2 s2 s4 s0 s4 s2 s2 s4

    =T

    x19

    5.625 2.625 2.625 5.625 0 5.625 2.625 2.625 5.625 0 5.625 ft

    y19

    T

    3 s

    2 3 s

    2 3 s

    2 3 s

    2s

    s

    2

    s

    2

    s

    2

    s

    2s0

    s

    2 s

    2 s

    2 s

    2 s 3

    s

    2 3 s

    2 3 s

    2 3 s

    2

    =T

    y19

    4.5 4.5 4.5 4.5 3 1.5 1.5 1.5 1.5 0 1.5 1.5 1.5 1.5 3 4.5 4.5 4.5 4.5 ft

    Pile Group P20

    X20

    +4 s 2 E Y20

    +3 s 2 E

    =X20

    14.5 ft =Y20

    11.5 ft

    P20

    x20 T

    2 s s s 0 s 2 s 2 s s s 0 s 2 s 2 s s s 0 s 2 s 2 s s s 0 s 2 s

    =T

    x20

    6 3 0 3 6 6 3 0 3 6 6 3 0 3 6 6 3 0 3 6 ft

    y20

    3 s

    2

    3 s

    2

    3 s

    2

    3 s

    2

    3 s

    2

    s

    2

    s

    2

    s

    2

    s

    2

    s

    2

    s

    2

    s

    2

    s

    2

    s

    2

    s

    2

    3 s

    2

    3 s

    2

    3 s

    2

    3 s

    2

    3

    2

    =T

    y20

    4.5 4.5 4.5 4.5 4.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 4.5 4.5 4.5 4.5