Numerical Methodes 'application'

soil Mechanics

This chapter discusses the physical properties of soils, which are essential for understanding their behavior in geotechnical engineering. It first introduces fundamental parameters such as grain size distribution, density, and porosity, which directly influence soil permeability and strength.

Next, it explores the consistency of fine soils, particularly Atterberg limits (liquid limit, plastic limit, and shrinkage limit), which classify soils based on their plasticity and water content.

The chapter also covers weight-volume relationships, including water content, dry density, and saturation, which are crucial for compaction and stability analysis.

Finally, the concepts of soil structure and texture are discussed to explain the arrangement of particles and their influence on the mechanical behavior of soils.

This chapter provides a fundamental basis for studying the mechanical and hydraulic properties of soils in geotechnical engineering.

 

Topography 1

HYDRAULIQUE GENERALE

Strength of Materials

Numerical Methods Tutorials

What is Numerical Method?

  • In reality,“Solving a math problem” generally involves finding an answer rather than exact answer.
  • Numerical analysis is the study of algorithms that use numerical approximation for the problems of mathematical analysis.
  • A numerical method is a complete and definite set of procedures for the solution of a problem, together with computable error estimates. The study and implementation of such methods is the field of numerical analysis / numerical methods.
  • A trick that lets you get closer and closer to an exact answer is a “numerical method”.
  • Numerical methods find solutions close to the answer without ever knowing what that answer is. As such, an important part of every numerical method is a proof that it works.

Numerical Methods