TRIGONOMERY IN
ARCHITECTURE
Relationship between trigonometry and architecture
Importance
Architecture
Trygonometry
Trigonometry is especially important in architecture, as it allows the architect to calculate distances and forces related to diagonal elements.
It is the study of the trigonometric ratios: sine, cosine; tangent, cotangent; secant and cosecant.
It is the study and practice of the design of buildings, communities, structures and other elements that shape the built environment.
Relation
They allow the architect to easily find the opposite and adjacent values related to an angle or the hypotenuse.
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
Materials
Types of Bridges
Stone.
Wood.
Steel.
Cement.
Pre-stressed concrete.
Post-tensioned concrete.
Mixed.
These are points of great importance in a road network for transportation in general and consequently for development.
Cable-stayed Bridges.
Arch Bridges.
Cantilever Bridges.
Integral Beam Bridges.
Beam Bridges.
A beam bridge is one of the simplest and most cost-effective bridges to build.
A cable-stayed bridge is dependent upon towers/pylons, which are the load-bearing element of the structure.
An arch bridge has abutments at each end shaped as a curved arch.
Integral beam bridges are a modern design approach to the traditional beam bridges that incorporate bridge bearings and expansion joints.
A cantilever bridge is built using cantilevers, structures that project horizontally and are supported on one end only.