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Pile cap design to SANS 10100

A pile cap is deep compared with the pile spacing, so it does not bend like a slab. The load runs from the column down to each pile in sloping concrete struts, and the bottom bars between the piles act as ties that stop the struts pushing the piles apart (the truss method). The tie steel goes in bands over the piles. Shear across the cap, punching and anchorage of the ties finish the design. Every number below comes from the free STATIX pile cap calculator with the inputs in step 1.

1. The problem

InputValue
Design codeSANS 10100
Axial N ULS2500 kN
LayoutPreset (2 to 6 piles)
Piles4 — square
Diameter450 mm
Spacing c/c1350 mm
Pile capacity Rall800 kN
Column cx400 mm
Column cy400 mm
Depth h900 mm
Edge overhang past pile150 mm
Concrete fcu30 MPa
Rebar fy450 MPa
Cover75 mm
ExposureIn contact with soil
Bar size20 mm
Layers2

2. Loads and pile reactions

The column load plus the cap's own weight is shared between the piles; a column moment makes the piles on one side take more. Each pile reaction must stay within the pile's capacity.

column N = 2,500 kN, cap weight (factored) = 114.3 kN design load = 2,614.3 kN on 4 piles largest pile reaction / pile capacity: 653.6 ≤ 800.0 kN OK

3. The truss: struts and ties

From the column, a strut runs to each pile. Where a strut meets a pile it pushes outward; the tie across the bottom holds it. The tie force follows from the pile reaction and the slope of the strut (the pile spacing against the lever arm).

pile spacing s = 1,350 mm, d = 800 mm tie force T = 551.5 kN per tie
tie T = 551 kNstrutR = 654 kNR = 654 kN

4. Tie steel in bands over the piles

The tie bars are concentrated in bands over the piles, where the struts land. Each band needs T / f_s of steel; the bars are then chosen.

Tie — X band: A_s,req = 1,409 mm² per band → 5 × Y20 = 1,571 mm² Tie — Y band: A_s,req = 1,409 mm² per band → 5 × Y20 = 1,571 mm² steel stress f_s = 391.5 MPa

5. Bending cross-check

The cap is also checked as a wide beam bending at the column face, as a cross-check on the truss: the larger steel governs.

M at the face = 620.9 kNm over 2,100 mm, K = 0.015 z = 760 mm → A_s = 2,087 mm² each way (truss needs 2,817)

6. Shear across the cap

A section across the cap near the column face must carry the pile reactions outside it. Because the piles are close to the column, the shear strength is enhanced (2d / a_v), as in a corbel.

a_v = 340 mm, V = 1,307.2 kN v_c = 0.274 MPa × 4.71 = 1.289 MPa v / v_c,enh: 0.778 ≤ 1.289 MPa OK

7. Anchorage, cover and the rest

The tie bars must be anchored beyond the piles (usually bent up), the cover must suit the soil, and starter bars, side links and a top mat complete the detailing.

Tie bars: bobbed-end anchorage (90 deg bend, r 115 mm, leg 490 mm): [SANS 10100-1 4.11.6.8.2 b), 4.11.6.9 (p.100)] PASS Durability: nominal cover: [SANS 10100-1 4.11.2.2, 4.11.2.4, 4.11.2.10; SANS 2001-CC1:2007 Table 3] PASS Column starters 4Y16: [SANS 10100-1 4.11.6.5, 4.11.6.6.4] INFO Side links: [SANS 10100-1 4.11.4.4 (beams, by analogy)] INFO Nominal top mat: [practice] INFO

Two-, three- and five-pile caps follow the same truss; the calc sheet shows the geometry of each.

Run this example yourselfOpen the free STATIX pile cap calculator and press Load the example (4 piles, 2 500 kN column) under "How it is calculated". Change any value and every step updates, with a calc sheet.
Open the pile cap calculator

A worked example for learning, not a design. Check every value against the current code and your own project, and have the design checked and signed by a registered professional engineer.

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