Pile Cap Design

Rigid-cap pile reactions for every ETABS combination, punching at every pile (CRSI corner and paired piles) and pedestal (wall and core shapes too), one-way shear, flexure with bar selection, bar development and hooks, top steel between columns and design strips, for a 1-8 column cap by ACI 318-08 or 318-19; CRSI's deep-cap checks at the column face and one-way shear at corner piles as options.

ACI 318-08ACI 318-19
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Design basis

Design code

Design for

One service and one ultimate load per column, as in the original tool.

Loads from ETABS

Sort the file's combinations once into Strength / Service, assign a joint (or pier) to each column, and bring in the governing rows or every combination. Pile grouping by required pile count is in the same dialog.

Columns

1
ColPu kipMux k·ftMuy k·ft

Column A is the origin; Δx, Δy place the others. P compression +; +Mx loads the +Y piles, +My the +X piles.

Column A section: Rectangle

Piles

S ≥ 2.5D recommended (Bowles). Rotation turns the piles and the cap about Column A; the columns stay put.

Cap

Pile cap centre, shifted from Column A

Concrete & reinforcement

Adequate

Governing: Pile capacity (service) · DCR 0.70

4 piles · cap 84 × 84 × 34 in · d = 30.00 in · bottom X #8 @ 7.7 in, Y #8 @ 7.7 in

  • ⚠ Every pile lies within d of a column face, so the one-way shear sections carry no pile load. Such a deep cap works as struts and ties — the sectional checks here do not capture that; check it by strut-and-tie (ACI 318-08 Appendix A), or turn on CRSI's deep-cap checks at the column face.

Plan

X-1Y-1P183kP289kP391kP498kAL = 84 in (7.00 ft)W = 84 inXYpunching perimeter (d/2)one-way shear (d from face)flexure (face)Label under each pile: its largest ultimate reaction, kip. Red: punching fails or the pile is in tension. Click a column to edit it, a strip band to adjust it.

Coordinates

ItemΔx, inΔy, incx × cy, in
Cap centre
origin30 × 30

Reinforcement

Bottom, X bars11-#8 @ 7.70 ind = 30.50 in · the largest any combination needs at any face · standard 90° hooks at both ends
Bottom, Y bars11-#8 @ 7.70 ind = 29.50 in · standard 90° hooks at both ends
Topminimum matsingle column: temperature and shrinkage steel each way

Sections

Section A–A (along X)At 3484 in · bottom 11-#8 @ 7.70 in, hooked
Section B–B (along Y)At 3484 in · bottom 11-#8 @ 7.70 in, hooked

Design checks

CheckDemandCapacityDCR
Piles (service)
Pile capacity (service)Geotechnical allowable · P1; rigid-cap reactions + 5.21 kip/pile cap self-weight70.21 kip100.0 kip0.70OK
Punching (two-way) shear
▸Punching shear at pilesACI 318-08 11.11.2.1; CRSI 5.3 · P4: b0 = 73.7 in, run out to the cap edges (CRSI P3); vc = 4√f'c97.50 kip419.5 kip0.23OK
▸Column A — Punching shear at pedestalACI 318-08 11.11.2.1 · Eq. 11-33; b0 = 240 in; Vu = Pu − piles inside the perimeter110.0 kip1366.1 kip0.08OK
One-way (beam) shear
▸Column A — Beam shear (X-dir)ACI 318-08 11.2.1 / 15.5.2 · bw = 84 in at d from the pedestal face, x = 45 in; Eq. 11-3: 2√f'c — no pile beyond the section0.00 kip239.1 kip0.00OK
▸Column A — Beam shear (Y-dir)ACI 318-08 11.2.1 / 15.5.2 · bw = 84 in at d from the pedestal face, y = 45 in; Eq. 11-3: 2√f'c — no pile beyond the section0.00 kip239.1 kip0.00OK
Flexure
▸Column A — Flexure (X-dir)ACI 318-08 10.3 / 15.4.2 · +X face; b = 84 in, d = 30.5 in; 11-#8 @ 7.70 in; φ = 0.900139.7 kip·ft1157.0 kip·ft0.12OK
▸Column A — Flexure (Y-dir)ACI 318-08 10.3 / 15.4.2 · +Y face; b = 84 in, d = 29.5 in; 11-#8 @ 7.70 in; φ = 0.900141.6 kip·ft1117.9 kip·ft0.13OK
Bar development
▸Column A — Bar development (X-dir)ACI 318-08 12.5 (standard hook) · Straight ld = 47.43 in does not fit in 24 in from the +X face to the cap edge less cover — hook the #8 bars: ldh = 13.28 in13.28 in24.00 in0.55OK
▸Column A — Bar development (Y-dir)ACI 318-08 12.5 (standard hook) · Straight ld = 47.43 in does not fit in 24 in from the +Y face to the cap edge less cover — hook the #8 bars: ldh = 13.28 in13.28 in24.00 in0.55OK
Design strips
Design strip X1 — flexureACI 318-08 10.3 / 15.4.2 · at the column faces, b = 84 in139.7 kip·ft1157.0 kip·ft0.12OK
Design strip X1 — one-way shearACI 318-08 11.2.1 · At d from column faces, b = 84 in0.00 kip239.1 kip0.00OK
Design strip Y1 — flexureACI 318-08 10.3 / 15.4.2 · at the column faces, b = 84 in141.6 kip·ft1117.9 kip·ft0.13OK
Design strip Y1 — one-way shearACI 318-08 11.2.1 · At d from column faces, b = 84 in0.00 kip239.1 kip0.00OK

Click a check for its calculation, pile by pile.

Pile reactions

Pilex, iny, inService max, kipUltimate max / min, kipPunching DCR
P1-24.0-24.070.282.5 / 82.50.20
P224.0-24.070.288.8 / 88.80.21
P3-24.024.070.291.3 / 91.30.22
P424.024.070.297.5 / 97.50.23

Service reactions include the cap's own weight, 20.8 kip (5.21 kip per pile).

Design strips — shear, moment and reinforcement

Suggested through each column line; they follow the columns until you edit one. Width 0 = the full cap. Click a band on the plan, or a strip below, to edit it.

StripPilesVu / φVc, kipMu / φMn, kip·ftBarsDCR
X-1 at y = 0 in, w = full20.0 / 239.1139.7 / 1157.011-#8 @ 7.70 in0.12
Y-1 at x = 0 in, w = full20.0 / 239.1141.6 / 1117.911-#8 @ 7.70 in0.13

X-1 · shear at d from column faces

174360186V, kip±186M, kip·ft±373Arrows: pile reactions (up) and column loads (down), kip. Dotted: one-way shear sections at d from the column faces. Sagging drawn below the axis.

Y-1 · shear at d from column faces

171360189V, kip±189M, kip·ft±378Arrows: pile reactions (up) and column loads (down), kip. Dotted: one-way shear sections at d from the column faces. Sagging drawn below the axis.

A strip narrower than the cap takes only the piles and columns inside its band; unless that set balances, its diagrams need not close to zero — read it as a tributary-width approximation, beside the main checks.

Report

Give the design a mark, add it, change the inputs for the next cap, add that — then print or export the whole package. Kept in this browser.

Design checks

CheckDemandCapacityDCRStatus
Pile capacity (service)70.210 kip100.000 kip0.702✓ OK
Punching shear at piles97.500 kip419.490 kip0.232✓ OK
Column A — Beam shear (X-dir)0.000 kip239.070 kip0.000✓ OK
Column A — Beam shear (Y-dir)0.000 kip239.070 kip0.000✓ OK
Column A — Punching shear at pedestal110.000 kip1366.100 kip0.081✓ OK
Column A — Flexure (X-dir)139.690 kip·ft1157.010 kip·ft0.121✓ OK
Column A — Flexure (Y-dir)141.560 kip·ft1117.900 kip·ft0.127✓ OK
Column A — Bar development (X-dir)13.280 in24.000 in0.553✓ OK
Column A — Bar development (Y-dir)13.280 in24.000 in0.553✓ OK
Design strip X1 — flexure139.693 kip·ft1157.007 kip·ft0.121✓ OK
Design strip X1 — one-way shear0.000 kip239.068 kip0.000✓ OK
Design strip Y1 — flexure141.568 kip·ft1117.902 kip·ft0.127✓ OK
Design strip Y1 — one-way shear0.000 kip239.068 kip0.000✓ OK

Calculation

  1. 1Pile reactions (rigid cap, about the pile group's centroid)
    R_i = \frac{\sum P}{n} + \frac{M_x\,(y_i - \bar y)}{\sum (y-\bar y)^2} + \frac{M_y\,(x_i - \bar x)}{\sum (x-\bar x)^2}
    R_{u,max} = 97.5,\quad R_{u,min} = 82.5
    R_{u,max}97.5 kip
  2. 2Cap self-weight on the piles (service)
    W = A_{cap}\,(t\,\gamma_c + h_s\,\gamma_s),\quad W/n
    W = 20.8,\quad W/n = 5.21
    W/n5.21 kip
  3. 3Effective depth (average for shear; per layer for flexure)
    d = t - c - 0.75\,d_{b,outer} - 0.25\,d_{b,inner}
    d = 30.00,\quad d_x = 30.50,\quad d_y = 29.50
    d30.00 in

Warnings

  • Every pile lies within d of a column face, so the one-way shear sections carry no pile load. Such a deep cap works as struts and ties — the sectional checks here do not capture that; check it by strut-and-tie (ACI 318-08 Appendix A), or turn on CRSI's deep-cap checks at the column face.

Notes

  • Straight bottom bars do not fit past the face in both directions — hook them (standard 90° hooks at the cap edge).
  • All 13 design checks pass. Governing DCR = 0.70 (Pile capacity (service)).

What this calculator does not check

  • Rigid-cap pile reactions (R = P/n ± M·c/Σc² about the pile group's centroid); pile axial stiffness and group effects (block failure, negative skin friction) are not considered. Pile capacities are taken as entered.
  • Sectional design: punching at d/2 from every pile and pedestal, one-way shear at d from each pedestal face, flexure at the faces. Pile punching follows the CRSI Design Guide for Pile Caps (2015) 5.3: vc = 4√f'c, a corner pile also on its perimeter run out to the two cap edges, and two piles together where their perimeters overlap or combine shorter. A pile straddling a shear section counts by ACI 318-08 15.5.4: straight-line on its centre over ±dp/2, on each side of a punching perimeter it crosses (at a perimeter corner the two shares multiply); CRSI counts it by its centre moved 3 in away from the column, which is more severe where piles sit near a section; a tick-box takes the piles 3 in further out in each column's shear checks before ACI's share. Unbalanced-moment transfer at the pedestal and deep-cap (strut-and-tie) action are not included; CRSI's deep-cap checks at the column face, and its one-way shear at corner piles (P4), are options.
  • On a multi-column cap each column's sections take the full free body beyond them — the other columns' loads and moments included; the top steel between columns uses the same beam idealisation along the column line. Neither replaces a plate (FEM) analysis of a large core cap.
  • The service pile reactions carry the cap's own weight (and any soil over it) shared equally among the piles. The strength design leaves it out unless the cap-weight tick-box is on; CRSI includes it (×1.6), which in its Examples 1–3 reads up to 2.8 % more one-way shear. With it on, each column-face section takes off the weight beyond it; pile punching keeps the whole reaction, as CRSI; the strips and the top steel between columns leave it out.
  • Every strength combination is designed with the same bottom mat, chosen for the largest steel per inch any combination needs at any face; imported combinations are used as given.
  • Verified against Design Examples 1, 2 and 3 (16, 5 and 6 piles) of the CRSI Design Guide for Pile Caps (2015) and independent hand calculations — see golden.spec.ts and README.md.

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 v2.5.1 · ACI 318-08 · input f5b9b43faa4f5fdb