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PCO formulations

What the program calculates, with which assumptions and within which range of validity.

This section applies in full to PCX, which shares the calculation core — PCX only adds the flexible pile caps.

The two paths

A pile cap can be designed in two ways, and the choice is not a matter of taste: it depends on how the cap behaves.

Rigid pile cap — the load goes down through compressed struts Blévot & Frémy · MBT (IBRACON)
Flexible pile cap — the cap works in bending, as a beam available in PCX

The rigidity criterion is in Checks.

The calculation chain

Column actions — N, Mx, My, Fx, Fy the input
NBR 8681 combination — normal ultimate cases consumes: actions
Pile reactions — analytical or by finite elements consumes: combinations and geometry
Strut model — Blévot or MBT consumes: reactions
Tie reinforcement consumes: strut model
Checks — nodes, punching, shear consumes: model and geometry
Detailing and report consumes: reinforcement and checks

The pages

  • Blévot & Frémy


    The classic method: the internal truss, the strut check, the 1.15 factor and the code's complementary reinforcement.

  • Formulas by arrangement


    The closed-form expressions for two to seven piles, with effective depth, stress limits, and main and complementary reinforcement.

  • MBT — Strut and Tie


    The model of the IBRACON Commentaries on NBR 6118, with the spreading of the column load calculated instead of tabulated.

  • Finite elements


    The pile cap as a solid, in a hexahedral or tetrahedral mesh — to check the assumptions of the strut model.

  • Load combinations


    NBR 8681, with the correct treatment of favourable permanent actions.

  • Checks


    Compression nodes, punching, shear and the rigidity criterion.

How to read these pages

Each one ends with the limits of validity, in its own coloured block:

Range of application

It delimits where the method holds. Read it as part of the result, not as a footnote — it is the information that separates using it from using it wrongly.