Pile Cap Design

Pile reactions from the rigid-cap eccentric-load equation, punching (two-way) shear at every pile and column pedestal, one-way (beam) shear, and Whitney-block flexural design with auto bar selection, for a 1-20 pile, 1-8 column cap by ACI 318-08.

ACI 318-08

Pile layout

Cap geometry

Materials & reinforcement

Options

Columns

Column A (fixed at the origin)

d = 30.00 in · 7 checks · all pass

Plan view

P183kP289kP391kP498kAcap / pile / columnpunching perimeterone-way shear sectionflexure section (pedestal face)Tag label at each pile: reaction (kip, ultimate).
Effective depth
30.00 in
Cap thickness
34.0 in
Max. ultimate pile reaction
97.5 kip
Governing DCR
0.65

Section views

Section A-A (X)At=34.0in

Bottom bars shown: 11-#8 @ 7.70 in (running across this cut). Top: minimum temperature/shrinkage mat; no negative span demand governs.

Section B-B (Y)At=34.0in

Bottom bars shown: 11-#8 @ 7.70 in (running across this cut). Top: minimum temperature/shrinkage mat; no negative span demand governs.

Pile reactions

Pilex (in)y (in)P service (kip)P ultimate (kip)
P1-24.0-24.065.082.5
P224.0-24.065.088.8
P3-24.024.065.091.3
P424.024.065.097.5

Design checks

CheckRefDemandCapacityDCRGovernsStatus
Pile Capacity (Service)Geotech. Allowable / CRSI Guide65.0 kip100.0 kip0.65Ps/n +/- sum(M.c)/sum(c^2) (service)PASS
Punching Shear (per pile)ACI Section 11.11.2.197.5 kip457.8 kip0.21Eq. 11-33 (perimeter truncated at cap edge)PASS
Column A — Beam Shear (X-dir)ACI Section 11.2.10.0 kip239.1 kip0.00Eq. 11-3 bw = 84 in; critical section at d from pedestal face, x = 45 inPASS
Column A — Beam Shear (Y-dir)ACI Section 11.2.10.0 kip239.1 kip0.00Eq. 11-3 bw = 84 in; critical section at d from pedestal face, y = 45 inPASS
Column A — Punching Shear at PedestalACI Section 11.11.2.1 (area-prorated pile inclusion)85.9 kip1366.1 kip0.06Eq. 11-33 b0 = 240 in; pile contribution weighted by fraction of area outside the d/2 perimeterPASS
Column A — Flexure (X-dir)ACI Section 10.3139.7 kip.ft1137.5 kip.ft0.12Whitney block b = 84 in (11-#8 @ 7.70 in)PASS
Column A — Flexure (Y-dir)ACI Section 10.3141.6 kip.ft1137.5 kip.ft0.12Whitney block b = 84 in (11-#8 @ 7.70 in)PASS

Design strips

StripPilesMax V (kip)φVc (kip)ShearMax M (kip.ft)φMn (kip.ft)FlexureRebar
X1 @ 0 in, w=full2186.3239.1PASS347.51100.6PASS42-#4 @ 1.89 in
Y1 @ 0 in, w=full2188.8239.1PASS342.51100.6PASS42-#4 @ 1.89 in

Calculation

  1. 1Pile group centroid and eccentric reactions
    R_i = \frac{P}{n} \pm \frac{M_x(y_i - \bar y)}{\sum(y-\bar y)^2} \pm \frac{M_y(x_i - \bar x)}{\sum(x-\bar x)^2}
    P_{max,ult} = 97.5,\quad P_{min,ult} = 82.5
    P_{max,ult}97.5 kip
  2. 2Effective depth
    d = t - \text{cover} - d_b
    d = 34.00 - 3.00 - 1.000 = 30.00
    d30.00 in

Notes

  • Governing check: Pile Capacity (Service) — DCR = 0.65, Ps/n +/- sum(M.c)/sum(c^2) (service)
  • All 7 design checks pass.

What this calculator does not check

  • This is a single design-load-case check (one factored Pu/Mu and one service Ps/Ms per column), not a full pile-cap design across multiple load combinations.
  • Group effects (pile-to-pile interaction, block failure, negative skin friction) are not checked — pile capacities are taken as entered.
  • ETABS/analysis-software load import is not available in this port — enter each column's governing loads directly.
  • No published worked example has been reproduced against this port; verification is internal cross-checks with the original tool's own engine, disclosed as such.

Results are for preliminary sizing and educational use. They are not a design and must be reviewed, verified and sealed by a licensed or registered engineer before being used in construction.

pile-cap-design v1.0.0 · ACI 318-08 · input ae23e28189dba902