Which of the following is true for the stiffness matrix K?
| Q. | Which of the following is true for the stiffness matrix (K)? |
|---|---|
| B. | K is un-symmetric |
| C. | K is an un-banded matrix |
| D. | none of the above |
| Answer» a. K is a banded matrix |
What does stiffness matrix depend on?
The condition number of the stiffness matrix depends strongly on the quality of the numerical grid. In particular, triangles with small angles in the finite element mesh induce large eigenvalues of the stiffness matrix, degrading the solution quality.
What is constant strain?
In numerical mathematics, the constant strain triangle element, also known as the CST element or T3 element, is a type of element used in finite element analysis which is used to provide an approximate solution in a 2D domain to the exact solution of a given differential equation.
Which one of the following is the property of stiffness matrix?
Explanation: Stiffness matrix is a inherent property of the structure. The property of a stiffness matrix, as the stiffness matrix is square and symmetric. 8.
What is rotational stiffness?
Rotational stiffness is defined as ratio of the applied moment to the angle of rotation. In other words, the amount of applied moment required per radian of rotation.
What do you mean by constant strain triangle?
What is the shape function of CST?
CST Element. An element of triangular shape is easy to develop and can be used to model irregular boundaries. The three node triangular element was one of the first elements extensively used for continuum stress analysis.
Can stiffness matrix be asymmetrical?
I was under the impression that mass and stiffness matrices are always symmetric (as I have been taught in my course and in textbook as well) but while solving questions from another textbook, I came to know that the matrices can be asymmetric as well.
What are properties of stiffness matrix?
Order of stiffness matrix corresponds to total dofs. Singular stiffness matrix means structure is unconstrained and rigid body motion. Each column of stiffness matrix is an equilibrium set of nodal force required to produce unit respective dof.
Is stiffness the same as spring constant?
The spring constant, k, is a measure of the stiffness of the spring. It is different for different springs and materials. The larger the spring constant, the stiffer the spring and the more difficult it is to stretch.
What is the stiffness constant?
Any one of the coefficients of the relations in the generalized Hooke’s law used to express stress components as linear functions of the strain components. Also known as elastic constant.
What are the properties of the stiffness matrix?
The properties of the stiffness matrix are: It is asymmetric matrix. The sum of elements in any column must be equal to zero. It is an unstable element therefore the determinant is equal to zero.
Rotational Stiffness. The rotational stiffness is the change in torque required to achieve a change in angle. Taken as a differential quantity, it is dT/d (theta). As the plots above show, the effect of changing angle on torque for a given L2 distance is approximately linear, therefore we assume a linear stiffness.
What is the inverse of the element flexibility matrix?
The element stiffness matrix ‘k’ is the inverse of the element flexibility matrix ‘f’ and is given by f=1/k or k =1/f. 15. What are the type of structtures that can be solved using stiffness matrix method? Structures such as simply supported, fixed beams and portal frames can be solved using stiffness matrix method. 16.
How do you express the stiffness matrix in terms of elastic constants?
The individual components of the stiffness matrix [ Q] are expressed in terms of the elastic constants as Under appropriate conditions these expressions can be simplified. For example, the elastic moduli in the 2- and 3-directions are generally assumed to be the same ( E2 = E3 ), which implies v23 = v32 and v21v13 = v12v31.