The best known classification system in textural classification is the Triangular classification of U.S. public road administration.

Explanation:

The classification of soil textures is an important aspect in civil engineering and soil science. It helps in understanding the physical properties of soil and its behavior under different conditions. There are several classification systems used worldwide, but the Triangular classification of U.S. public road administration is the most well-known.

1. Triangular Classification of U.S. Public Road Administration:
The Triangular classification system was developed by the U.S. Public Road Administration in the 1920s. It is also known as the USDA (United States Department of Agriculture) soil classification system. This system is based on the proportions of three main soil particles: sand, silt, and clay.

2. Components of the Triangular Classification System:
The Triangular classification system represents the proportions of sand, silt, and clay on a triangular graph. Each corner of the triangle represents 100% of one type of particle, and the points within the triangle represent the proportions of the different particles. The sides of the triangle represent the percentages of the particles in the soil.

3. Classification of Soil Textures:
The classification of soil textures using the Triangular system is based on the relative proportions of sand, silt, and clay. The various combinations of these particles determine the texture of the soil. The soil textures are classified into different categories such as sandy, loamy, and clayey soils.

4. Importance of the Triangular Classification System:
The Triangular classification system is widely used in agriculture, civil engineering, and soil science due to its simplicity and effectiveness. It provides a standardized method for classifying soil textures based on the proportions of sand, silt, and clay. This classification helps in determining the engineering properties of the soil, such as permeability, compressibility, and shear strength.

Conclusion:
In conclusion, the Triangular classification of U.S. public road administration is the best known classification system in textural classification. It provides a clear and standardized method for categorizing soil textures based on the proportions of sand, silt, and clay. This system is widely used in various fields of engineering and soil science.