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    Concrete / Foundations

    Pile Cap Design

    Punching and one-way shear on a pile cap. The cap is deep and heavily loaded, so punching around the column and beam shear across the pile line are the two checks that size it.

    Punching stress0.72 MPaConcrete capacity1.46 MPaUtilisation49%
    Punching stress
    0.72 MPa
    bo 5200 mm
    Concrete capacity
    1.46 MPa
    0.75 × 0.33√f'c
    Utilisation
    49%
    Within capacity
    Piles
    4
    750 kN each
    Depth sensitivity
    ACI 318 punching perimeter at d/2 from the column face; one-way at d from the pile line.
    Depth sensitivity
    Depth (mm)Punching utilisation
    60078%
    70061%
    80049%
    90041%
    100034%
    Inspect the model
    Choose a quick result view, a scaled comparison, or the complete diagnostic set.
    Punching utilisation against depth
    Depth helps twice: the perimeter grows and the stress falls.
    Punching utilisation against depth0.00017.3834.7752.1569.5486.9260060070070080080090090010001000Pile Cap Design
    Canonical equations
    The exact relationships implemented by this engine.

    vu = Vu/(bo·d) · bo at d/2 from the column.

    φvc = 0.75 × 0.33√f'c · ACI 318 §22.6.

    engineering methodology

    A clear path from inputs to results.

    Punching and one-way shear on a pile cap. The cap is deep and heavily loaded, so punching around the column and beam shear across the pile line are the two checks that size it.

    Step-by-step methodWorked exampleAssumptions explained

    How to use

    1. Set column load (kn).
    2. Set column size (mm).
    3. Set effective depth (mm).
    4. Set concrete f'c (mpa).
    5. Read the headline metrics, then check the table for the detail.

    The formula

    vu=Vu/(bo⋅d)vu = Vu/(bo·d)

    Reference: ACI 318 §22.6 punching at d/2 from the column face.

    Worked example

    At the default inputs

    Inputs
    • Column load (kN): 3000; Column size (mm): 500; Effective depth (mm): 800; Concrete f'c (MPa): 35; Piles: 4
    Calculation path
    1. 1

      Punching stress: 0.72 MPa · Concrete capacity: 1.46 MPa · Utilisation: 49% · Piles: 4

    Result

    Punching stress: 0.72 MPa · Concrete capacity: 1.46 MPa · Utilisation: 49%

    Interpreting the result

    A 3000 kN column on a 800 mm cap gives 0.72 MPa against 1.46 MPa.

    Assumptions & limitations

    • Rigid cap, uniform pile reaction.
    • No shear reinforcement.

    Frequently asked questions

    Why does depth help so much?

    The perimeter grows with d and the stress falls with d — twice.

    When is shear reinforcement needed?

    When the utilisation exceeds 100%, or the cap becomes very deep.

    Methodology last reviewed 2026-10-22. Results are informational and not financial or engineering advice — see our disclaimer.