Sander

Task 0

Task 1

The geometry is simple. The models were made using extrude and loft functions. The idea behind the shapes was to follow the curves and imagine them as outlines for a building.

Task 2

The area curve chosen to lasercut contained both hard lines and etching. I chose a curve that contained another curve such that the lasercut model mirrored the lines from task 0. The hexagonal pattern has also been highlighted due to the etching.

Task 3

In order to continue the established hexagonal pattern, I wantet to design the space with extra focus on this shape. The lines were given a small thickness and were extruded. The roof was modeled as a floor in Rhino in order to avoid issues while printing.

Task 4

The roof structure was designed to be modular. It can easily be expanded (longitudinally) by repeating the modules that its made up of. The structure itself is quite simple. All walls are shear walls and the roof is tilted so that water will run off the back.

Modelling with grasshopper was challenging and I chose to start over several times (see "the graveyard" in the bottom left picture). The script did not end up pretty but rather like a tangled mess. This is the reason why I went for a very simple structure.

Task 5

Load assumption:

Steel structure -> "average" load is 10 kN/m^2

No live load -> Total load reduced by 5 kN/m^2

-> Max total vertical load = 5 kN/m^2

Selfweight of roof:

Density approx. 7700 kg/m^3 -> 75,6 kN/m^3

Load from beams is thereby approx. 135 N/m^2

Load from slab if 1 cm thick approx 765 N/m^2

Tot load < 1 kN/m^2

Assume 5 kN is a very conservative estimate.

Assume total vertical load as 3 kN/m^2

Assume total horisondal load is 1/3 total vertical load -> 1 kN/m^2

Also assume vertical load only in x direction since roof exist in zx-plane.

The original model had only 6 segments. This resulted in a utilization of over 100%.

For 8 segments:

The resulting utilization of the crossection is now 75% and the max deflection is 1,5 cm

This is not bad, but can be significantly improved by increasing the number of segments.

For 10 segments:

Utliziation of the crossection is now 40% and the max deflection is now only 0,5 cm.

Notice that the failuremode is different for 8 and 10 segments.

For 8 we have buckling in the beams in y-direction which reduces crossection capacity. In addition all horisontal forces are taken up by the beams and the roofplate stiffness is not included in the analysis.

For 10 segments, the beam lengt is shortened, thereby reducing slenderness of the beam. The crossection capacity is reduced in a smaller degree than for 8 segments and the failure mode is instead bending in beams in x-direction.

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