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Structural strength.

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15y ago

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Where can you find triangles around us?

Triangles can be found in various places in our surroundings, such as in architecture—think of the triangular roof structures of houses or the triangular shapes in bridges. In nature, the shape of mountains and certain rock formations often resembles triangles. Additionally, everyday objects like traffic signs, sails on boats, and even certain types of furniture can exhibit triangular designs. These shapes are prevalent due to their structural stability and aesthetic appeal.


Why isn't the rectangle the strongest shape?

Rectangles can deform easily when force is applied diagonally, compared to shapes like triangles or arches that distribute stress more evenly. This is why triangles are often used in structures like bridges or buildings for added strength and stability.


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What holds better in a bridge a triangle or an arch?

It depends what type of bridge you are talking about. Beam bridges are horizontal bridges with vertical supports. The forces here are greatest in the middle, where the largest bending moment is. Arch bridges are strong in that the forces are transferred horizontally, so as long as the ends are fixed and the material is strong this can lead to a very strong structure. Triangular structures are often used in cable-tied bridges, where the cables carry the force. The cables are made from high-grade steel and are very strong but can be expensive. Often the reason for building such a bridge is either for aesthetic purposes or when a bridge is very long. Triangles are also used in creating the beam structure of a bridge, as it allows you to dramatically cut down on the weight of a bridge.


Why are the ends of many bridges not attached to bridges?

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When two triangles can form a square, it is often referred to as "triangular tiling" or "triangular decomposition." This concept is commonly seen in geometry, where right triangles can be arranged in such a way that their combined area equals that of a square. In particular, if the triangles are right triangles, they can be arranged to fit perfectly within the square's boundaries.


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