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TRIGONOMERY IN ARCHITECTURE - Coggle Diagram
TRIGONOMERY IN
ARCHITECTURE
Relationship between trigonometry and architecture
Architecture
It is the study and practice of the design of buildings, communities, structures and other elements that shape the built environment.
Trygonometry
It is the study of the trigonometric ratios: sine, cosine; tangent, cotangent; secant and cosecant.
Relation
They allow the architect to easily find the opposite and adjacent values related to an angle or the hypotenuse.
Importance
Trigonometry is especially important in architecture, as it allows the architect to calculate distances and forces related to diagonal elements.
Trigonometric Functions
Formule
Usage
Trigonometric functions are used as they allow to calculate distances and forces. Sine, Cosine and Tangent allow to easily find the opposite and adjacent values related to an angle or the hypotenuse within a building.
Origin
Trigonometry was introduced in the West around the 12th century through translations of Arabic astronomy books. In Europe it was the German mathematician and astronomer Johann Müller, better known as Regiomontanus, who wrote the first important work on this subject, called "De Triangulus".
Bridges
Importance
These are points of great importance in a road network for transportation in general and consequently for development.
Materials
Stone.
Wood.
Steel.
Cement.
Pre-stressed concrete.
Post-tensioned concrete.
Mixed.
Types of Bridges
Cable-stayed Bridges.
A cable-stayed bridge is dependent upon towers/pylons, which are the load-bearing element of the structure.
Arch Bridges.
An arch bridge has abutments at each end shaped as a curved arch.
Cantilever Bridges.
A cantilever bridge is built using cantilevers, structures that project horizontally and are supported on one end only.
Integral Beam Bridges.
Integral beam bridges are a modern design approach to the traditional beam bridges that incorporate bridge bearings and expansion joints.
Beam Bridges.
A beam bridge is one of the simplest and most cost-effective bridges to build.
