- #31
- 23,711
- 5,928
Of courseMechanics_student said:
Equilibrium equations of elastic body
- Context: Engineering
- Thread starter Mechanics_student
- Start date
-
- Tags
- Equilibrium
Click For Summary
SUMMARY
The discussion focuses on the equilibrium equations of a rigid body in contact with an elastic deformable body. Key points include the application of a force \( F \) at an angle \( \beta \) on the rigid body, leading to deformation in the elastic body. The equilibrium conditions are expressed in terms of stress \( \sigma \) and the distance \( d \) from the forces causing moments. The conversation emphasizes the complexity of solving these equations analytically and suggests using Finite Element Analysis (FEA) software for numerical solutions, particularly when dealing with 2D problems.
PREREQUISITES- Understanding of equilibrium equations in mechanics
- Familiarity with beam theory and stress analysis
- Knowledge of Finite Element Analysis (FEA) principles
- Basic proficiency in LaTeX for mathematical expressions
- Study the application of beam equations in elastic deformation scenarios
- Learn about Finite Element Analysis (FEM) software, such as ANSYS or Abaqus
- Research the relationship between forces and displacements in elasticity
- Explore LaTeX documentation to improve mathematical expression formatting
Mechanical engineers, structural analysts, and students studying elasticity and mechanics of materials will benefit from this discussion, particularly those interested in numerical methods for solving complex equilibrium problems.
- #32
Mechanics_student
- 20
- 1
Chestermiller said:
If I name the area as ##\Gamma_c## then it could be written this way ?
Similar threads
- · Replies 13 ·
- · Replies 3 ·
Engineering
Combined loading, where is the neutral axis?
- · Replies 11 ·
- · Replies 3 ·
Engineering
Mechanics of materials -- deformation problem
- · Replies 6 ·
- · Replies 11 ·
- · Replies 1 ·