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Q: What is the strongest shape underground Catenary or Hemisphere?
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Is geodesic domes stronger than round domes?

No, the strongest shape under gravity condition is the catenary dome. The strongest shape under pressure ( earth sheltered or water ) would be a sphere. Or an hemisphere. Which is still a way stronger than a geodesic. The geodesic has potential link for failure in each connections. It's might be easier to set up than a perfect hemisphere, but seriously, did you already see a geodesic dome in nature ? You might want to check ferrocement / monolithic domes if strength it the first issue.


What is an Arch of an inverted catenary shape?

One is the "Gateway To The West" arch in St. Louis, Missouri. It is also possible McDonalds Restaurants have a double inverted catenary arch shape. It resembles a letter M in script form.


Why catenary important in alignment of turbine?

A catenary is the shape formed by a hanging chain or cable under its own weight. In wind turbine alignment, the catenary is important because it helps to position the turbine blades in a way that maximizes their efficiency in capturing wind energy. By aligning the turbine blades along the catenary curve, the blades can better adapt to changing wind conditions and generate more power.


What is the purpose of cosh?

cosh is a hyperbolic function. It describes a catenary, the shape formed by a chain that is suspended only at its ends and is acted on by the force of gravity. The name catenary derives from Latin caten = chain. Another typical example is electric cables between pylons.


What is a hemisphere really name as a 2d shape?

A hemisphere is a 3-d shape and so does not have a name as a 2-d shape. 2-d sections of a hemisphere can be circles, semicircles, or sections of circles, depending on the inclination of the intersecting plane.


Is a hemisphere 2d or 3d shape?

A hemisphere is a three dimensional shape that is essentially the same as half of a sphere.


What geometric shape is strongest?

A sphere.


What is the strongest geometric prism?

The strongest geometric shape is probably the triangular prism.


Which 3-d shapes are strongest?

I think the strongest 3D shape is a cylinder.


How is a hemisphere different from a shpere?

The difference in a hemisphere and a sphere is the shape and the size. A hemisphere is half of a sphere.


What is the mathematical term for the St. Louis Arch.?

It is a catenary, as defined by the following mathematical equations: y = cosh(x) or y = (e^x + e^-x)/2 A catenary is the shape which a flexible linear object with constant mass will naturally hang in when it's endpoints are fixed. The classic example is a cable or a chain. Catenary's have a practical application in arch construction because the force of the weight of the higher portions of the arch is always directed into the lower portions of the arch, making it very self supporting. This is why the Arch is constructed as a catenary, and why it is still standing.


What is the most common shape of tunnels?

An inverted U shape is the most common tunnel shape as this is the strongest.