Question

For 1-D bar elements if the structure is having 3 nodes then the stiffness matrix formed is having an order of *

1 point

2*2

3*3

4*4

6*6

​

Answer 1

Answer:

3*3

is the correct answer

Answer 2

3x3

• A 1-D bar element with 3 nodes has 6 degrees of freedom (3 for each node: displacement in x, y, z direction), and the stiffness matrix is used to model the resistance of the element to deflection. The order of the stiffness matrix is determined by the number of degrees of freedom.

• In this case, the stiffness matrix is a 3x3 matrix because it has 3 degrees of freedom. Each degree of freedom requires a row and column in the matrix. So, the order of the matrix is 3x3

Few points related to the stiffness matrix:

• The stiffness matrix describes the relationship between the applied loads and the resulting nodal deflections.
• The stiffness matrix is a square matrix that has the same number of rows and columns as the number of degrees of freedom in the system.
• The stiffness matrix is symmetric, meaning that the element's stiffness is the same in both tension and compression.
• The stiffness matrix is used in the finite element method (FEM) to analyze structures under different load conditions.
• The values in the stiffness matrix are obtained by applying the equations of linear elasticity to the bar element geometry, material properties, and boundary conditions.

#SPJ3