Page 5 · Counting Model (v0.4)
v0.4 — new page. How spans, supports, decks and girders are counted when piers and pylons are mixed, with a live quantity roll-up.
← Brief 1. Form 2. Impact 3. Diagram

Counting model for a mixed pier / pylon bridge

Five questions, answered in order. The last one turned up a real defect in the current quantity logic.

1

How do we count spans when piers and pylons are mixed?

Short answer: exactly as today. Nothing changes.

A span is the gap between two adjacent supports. A pylon is just a support that happens to be tall — it doesn't create or remove spans. no_of_span stays the single input, supports stay no_of_span + 1, and the location keys a_1, p_1 … p_8, a_2 are unchanged.

What is new: spans are no longer interchangeable. Each one derives a type from its two end supports — and that type decides how the deck and girders are built and counted.

SpanLengthStartEndPylon endsDerived type

The rule is just: 2 pylon ends → main · 1 → back-stay · 0 → approach. Auto-derived in the form, editable if the client's construction plan differs.

2

Does the pier under a pylon still get counted?

No — the pylon replaces the pier. It does not sit on top of one.

A pylon rises continuously from its own pile cap. There is no separate pier wall underneath it, so counting both would double-count the same concrete. What the deck actually lands on at a pylon is the cross beam between the legs — that is the pier-cap equivalent.

SUBSTITUTION TABLE — WHAT EXISTS AT EACH SUPPORT
Structural roleAt an abutmentAt an ordinary pierAt a pylon
FoundationPile + Pile CapPile + Pile CapPile + Pile Cap (Ø1500, denser)
Vertical elementAbutment WallPier WallPylon (Lower) 158
Deck supportAbutment CapPier CapPylon Cross Beam 160
Above deck——Pylon (Upper / Mast) 159
Cable system——Stay Cable 161
BearingsYesYesYes (unchanged)
⚠ The quantity consequence

Pier Wall and Pier Cap are currently no_of_span - 1 = 8 on this bridge. The correct answer is 4 — only P1, P6, P7, P8. The four pylon supports must be excluded or the same locations get counted twice under different names.

Yes — progress entry is needed at pylon locations

An ordinary pier has 2 components to update at p_1 (Pier Wall, Pier Cap). A pylon has 4 at p_2 — Lower, Cross Beam, Upper, Stay Cable. Same location key, more components. The schema already allows this.

3

Girders: a pylon span needs cross girders, a pier span needs longitudinal girders

This is the sharpest of the questions, and the current quantity logic gets it badly wrong. The two deck types use girders in opposite proportions.

CONVENTIONAL SPAN (pier to pier)
Longitudinal girdersmany (5–6)
Cross girdersfew (2–3 diaphragms)
CABLE-SUPPORTED SPAN (edge girder deck)
Edge girdersexactly 2
Cross girdersone per cable anchor
⚠ Defect in the current logic

Cross Girder quantity is hardcoded no_of_span — one per span. That is right for a conventional deck with end diaphragms. On a cable-supported span the cross girders are the primary load path: one at every cable anchor point, transferring deck load into the edge girders and up the cables. Mindhola's P2–P3 span needs 22, not 1.

Left unfixed, the bridge would show 9 cross girders instead of 86 — and physical progress would be wrong for the entire superstructure.

The fix ties the model together neatly: the cross girder count on a cable-supported span equals the cable anchor count on that span — the same number the form already computes for the Foundation-vs-Super-Structure cross-check on page 1. One number, three uses: cables, anchors, cross girders.
4

How is the deck counted when spans are built differently?

Deck Slab is currently 1 per span. That holds only where the deck is cast as one unit on a launched girder grid. A span built outward from the pylon isn't one deck — it's a run of segments, each cast and then held by the next stay cable.

Span typeErection methodLongitudinalCross girdersDeck unit
ApproachPrecast, launchedGirder × n per span1 per spanDeck Slab × 1
Back-stayCast in-situ on stagingEdge Girder × 2= anchors on spanDeck Slab × 1
MainBalanced cantileverEdge Girder × 2= anchors on spanDeck Segment × n

This is why erection_method is a per-span field rather than a bridge-wide setting — it's the switch that selects which deck and girder model applies to each span.

Live quantity roll-up — what plan generation must produce
MAIN SPAN ERECTION
PYLON
IDComponentQtyDerivation

Progress entry — which components exist at which location

This is what the progress-entry location dropdown must offer. Note P2–P5 carry four components each where P1/P6/P7/P8 carry two.

Location keys are unchanged — a_1, p_1 … p_8, a_2 for point components and a_1_p_1, p_1_p_2 … for span components. Only which components appear at each key changes.

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