Need calculation of load-bearing capacity on a earthen dome

I want to build a building for an ecological proof of concept in our Quebec, Canadian climate.

I am looking to hire a resource that can validate the load capacity of a dome structure made of pressed earth brick/masonry.

I would like it to be done quickly/simply, no need for an engineer rubber-stamping or any warranty but I need it to be well done by a qualified resource that I will pay for their work.

This resource will provide me with the load capacity of the structure according to my plans and specifications brick/mortar compression data that I will provide (or other data required for the calculation).

This resource could be a student looking for an internship project or a contract.

The Dome is made of compressed mud brick inside, brick thickness: probably between 5" and 6" adaptable according to the recommendation of the engineer (on the sketchup plan I put 5").

The Dome of Earth is covered with 12" thick of hempcrete ( or maybe I will look into insulating Mycelium ) on the outside for its insulating capacity, and a lime-based coating of 1/8" to protect the hemp/mycelium.

I am open to modify my plan according to the recommendations of the engineer if it is necessary to make it suitable load-bearing capacity.

I would look in the Middle East where this sort of work is common.
I am a Civil Engineer and have worked a lot with earth bricks, but I think
your request may be beyond me.
You will need to have a range of information;
- compressive strength of your particular earth bricks, it varies.
- proof the foundation will not settle
- weight of additional loads and the spread of them.
Have you studied the dome making techniques?
There may be technical papers on the subject somewhere.
try these;
Dome calculator
Load carring capacity of a dome research
[url=https://www.researchgate.net/publication/355499591_Real-time_Structural_Stability_of_Domes_through_Limit_Analysis_Application_to_St_Peter%27s_Dome]Real time analysis of Dome safety[/url]
https://www.academia.edu/17141399/Load_Carrying_Capacity_of_Brick_Masonry_Dome_in_Mud_Mortar

I can say one thing from my architectural design education and study: the vertical base will need either buttressing or a tension band continuous around the bottom of the dome. The windows at that level introduce major weakness where the hemispherical dome structure will be under radial tension rather than the compression that exists in most parts of the structure. Assuming you don't want a steel rod running through the middle of all the windows and doors, I would advise buttresses.

Alternatively, a catenary dome would give constant compressive/neutral forces on the whole dome, at the cost of the walls not being vertical but gently sloping from the base. Look at Antoni Gaudi's work for examples.

John C Daley wrote:I would look in the Middle East where this sort of work is common.

There is some information, though not in detail, in Nader Khalili's books https://en.wikipedia.org/wiki/Nader_Khalili

He's behind the Earthbag Superadobe domes, Cal Earth

Also, I've seen some PDFs either by or about Egyptian architect Hassan Fathy that went into more detail. The method described is a graphical calculation, done by a sort Euclidian drawing process, and doesn't use modern technical engineering techniques. I believe Fathy's Dar-El-Islam in New Mexico was designed with such techniques. No idea how they got building permits.

Rather than spherical, you might consider a catenary dome.  This is the almost-elliptical curve a chain makes hanging in perfect tension, thus a catenary arch/ vault/ dome is in perfect compression.  

For examples in earthen building, look at the works of Hassan Fathy ("Architecture for the Poor"; Abiquiu Mosque), Nader Khalili ("Geltaftan", upended pre-fab vault), and John Norton (Woodless Construction Programme, West Africa).