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Roof Canopy.

A canopy of T-shaped steel frames, each a column with an arm cantilevering 4 m each way, under snow lying deeper on one side.

Beams & frames
A canopy of T-shaped frames leaning under snow lying deeper on one side, coloured by its displacement GHroof-canopy.ghGrasshopper file · 30 KBDownload

The definition

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A row of six frames, 6 m apart, each an HEA240 column built in at its foot with an IPE270 arm cantilevering 4 m each way from its head, rising 0.4 m to its tip. IPE140 purlins join the frames at the heads and at three points along each arm, and a cross between two columns holds the row lengthways. Snow lies deeper on one side than on the other, as wind drifts it, so the frames lean.

Roof Canopy, deforming under its loads and back, again and again

The deformed shape, from rest to its full size and back, its loads riding on it.

The model ​

Group What it does
1 - Geometry The sliders, and a Python component that draws the geometry from them: the members as lines, each cut where another meets it, the points the structure is held at, and the widths its loads are worked out from. Open the component to see how. Frames, spacing, height, cantilever, rise and purlins a side.
2 - Members S355: HEA240 columns, IPE270 arms and IPE140 purlins as ForceBeamColumn; the cross, CHS 60.3x4, as trusses.
3 - Supports Each column built in at its foot.
4 - Loads The snow on each side in kN/m², times the width of roof each purlin carries on plan, as two Linear Loads; and the own weight.
5 - Analysis Assemble and Run Analysis.
6 - Results A Model View of the analysed model, deformed and coloured by its displacement, with a Legend; one of the model at rest, as light grey lines behind it; and one of the supports and the loads. The deformed shape is drawn 30 times its size.

The loads ​

The snow is typed in for each side: 1.2 kN/m² on the left, 0.4 kN/m² on the right. Each purlin carries the width of roof between it and its neighbours on plan, half at a tip and at the head, and its share of each side's snow.

Roof Canopy with its supports and loads drawn by Model View

The supports and the loads, as Model View draws them: the own weight in its own colour, as OpenSees takes it. Tick Show Values in its Loads menu to write what each is worth.

What it shows ​

The left arms' tips drop 75 mm: the arm bends, and the column, built in at its foot, leans under the difference between the two sides. Even the snow out and the frames stand straight; take the cross out and the row is held lengthways only by its columns.