Chinese JoineryChinese Joinery
Crossing members
三根直材交叉
sān gēn zhícái jiāochā

Three-Bar Crossing Joint (三根直材交叉): How Three Stretchers Cross at One Point

Three-way crossing · 三根直材交叉接合

A six-legged washbasin stand needs three stretchers crossing at its centre.

The three-bar crossing grows out of the simple cross halving.

Chinese
三根直材交叉 · sān gēn zhícái jiāochā
Joins
Three straight bars at one point
Found in
Base stretchers of six-legged washbasin stands
Signature parts
⅓ and ⅔ cuts · rectangular crossing section
Compare
Cross halving
Drag to rotate. Slide to take the joint apart, or press Assemble to watch it go together.

How it works

From two bars to three

Two crossing bars are each cut half away. With three, Wang Shixiang describes the middle bar losing a third of its height above and below, the upper bar losing two-thirds from its underside and the lower bar two-thirds from its top. Stacked, the three make the height of one bar.

Made tall

Because so much is cut away, the bars are made tall in section so that each keeps enough wood at the crossing, and the short length where they meet is left rectangular, not rounded, for strength.

Proportions in the model are illustrative.

How it's made

  1. Crossing
    Step 1

    Crossing

    Three bars cross at one point.

  2. Middle
    Step 2

    Middle

    Middle bar: a third off top and bottom.

  3. Upper
    Step 3

    Upper

    Upper bar: two-thirds off below.

  4. Lower
    Step 4

    Lower

    Lower bar: two-thirds off above.

  5. Stack
    Step 5

    Stack

    Stacked from below and above.

  6. One height
    Step 6

    One height

    Together: one bar’s height.

Variations

Two bars

The ordinary cross halving (十字枨) is the two-bar version.

Can you CNC this?

Yes, with small changes

Each bar has one rectangular notch cut straight down from the top or up from the bottom, so all three are simple pockets; only the notch angles differ. Round inside corners need dogbones or rounded edges.

Free STL downloads (one file per part)

  • Lower bar 下枨 · sangen-jiaocha-bar-lower.stl
  • Middle bar 中枨 · sangen-jiaocha-bar-middle.stl
  • Upper bar 上枨 · sangen-jiaocha-bar-upper.stl

Before cutting or printing, read the CNC and 3D-printing notes on tool radius, scaling the STL files and their licence.

Questions

How much is cut away?

The middle bar loses ⅓ top and bottom; the others lose ⅔.

Why tall bars?

To keep enough wood at the crossing.

Where is it used?

Under six-legged washbasin stands.

Further reading
  1. 王世襄《明式家具研究》(Wang Shixiang, Research on Ming Furniture),第 106 页
  2. 王世襄《明式家具研究》(Wang Shixiang, Research on Ming Furniture),第 109 页,图 3.21