whats the strongest shape?

Question

whats the strongest shape?

Answer 1

That depends entirely on the vectors of force involved. Think of an egg.

Answer 2

A Triangle or a Triad are the strongest shapes. They are also the most easily interpreted to mathematical formulae.



The triangle, rigidly fixed at the vertices, prevents motion in all directions. Any larger number of sides and the shape can potentially overcome the critical angle and flex out of shape.



The Triad, a three dimensional triangle (it looks like a pyramid with a three sided base) is the strongest geometric shape in 3-D. The tetrahedron, a four-sided pyramidal structure is stronger as a triad, but only in the vertical direction and assuming the joints are fixed.



The reason circles and spheres would/should not be considered the strongest is because: a) they are unstable and difficult to hold in location. b) to construct one you would either require a number of smaller triangular forces or a single bent member. In the case of (b), you are incurring both compressive and tensile forces; many materials are not so strong in tensile forces as they are compressive so they would tend to fail before a pure compressive force.

Answer 3

The triangle in 2 dimensions. The sphere in 3 dimensions.

Answer 4

it depends upon the centre of gravity and line of action of force applied on it.generally for 2d it is triangle & for 3d it is sphere.taking its referencs axises as centroidal axis.

Answer 5

The triangle is, but the arc holds up well for bridges and such.

Answer 6

I was told in school it was the triangle, but I think it is the arc.