Annalena Bellm: 2 Units

**Step 1 - Generative Design Framework**

**Step 1 - Generative Design Framework**

A very brief description of the design decisions from Step 1 following the Generative Design Framework.

**Design Decision 1: Shape of a biophilic dome which reduces the number of and stresses on each member**- Design Variables
- Base Circumference
- Number of members
- area of members
- shape of dome
- Evaluators
- Axial stresses of each member
- Cost of construction
- Daylight entering pavilion
- Most Important Tradeoffs to Consider
- If this dome were to be made of individual member, like the one shown below, the area of each member and number of members would be trade offs. Additionally, the fewer members you have, the more light that could enter the pavilion

**Design Decision 2: Where to put speakers in a music hall to create the most coverage with least amount of speakers**- Design Variables
- Number of speakers
- Locations of each speaker
- speaker volumes
- Evaluators
- Level of sound all over the room
- echo between speakers
- interaction of sound waves between speakers
- cost of speaker system
- Most Important Tradeoffs to Consider
- Want the fewest number of speakers (due to cost) while still providing the desired level of sound throughout the room.
**Design Decision 3: Floor area vs number of beams needed to frame the floor**- Design Variables
- Width (ft) of the roof/ floor system
- Depth (ft) of the roof/floor system
- Evaluators
- Probability of Collapse
- Cost of materials
- Cost of construction
- Most Important Tradeoffs to Consider
- Increased floor size (larger width and depth) provides more floor area, however also will require more framing beams.

__Step 2 - Generative Design Study - Design Decision 3__

I decided to do the generative design study on the floor plan which would require the lowest number of W16x40 while offering the highest floor area. To do this, I modeled the floor area in dynamo using line segmentation to model the beams in the structure.

Once this model was set up using the number of beams as an input to the model, I calculated the expected loads the roof would experience using ASCE 7-22. Using this model, assuming flexural capacity governed design, I calculated the number of beams that would be required to withstand the given load.

Next, I had the width and depth of the roof as inputs and the number of beams and floor area as the outputs. In my generative design model, I wanted the number of beams to be minimized while still meeting design requirements, and the floor area of the roof to be maximized.

The width and depth of the roof would be varied from 25 to 50 feet, and the number of beams required for each dimension selection would be calculated as well as the floor area.

For the generative study, I chose the following selections:

__Step 3 - Generative Design Study Results__

As shown in the scatterplot above, as would be expected, as the size of the roof increases, the number of beams required also increases. Therefore, a selection has to be make where the roof beams are able to be minimized while the roof floor area is maximized.

The Parallels above shows a better representation how the width and depth of the roof system changes drastically over the program. To better represent this variation, The scatterplot can be re-plotted with the depth and width on the x and y axis respectively, as shown below.

Now, the owner and designer can decide based on the dimensions desired greatest floor area and least number of floor beams are possible. Though this example is very simple with just one bay of a framing plan, this type of thinking can be scaled up to frame the entire building by varying room sizes to create the most efficient design.