# Which conditions are apply to obtain global stiffness matrix?

## Which conditions are apply to obtain global stiffness matrix?

Condition of Compatibility – connected ends (nodes) of adjacent springs have the same displacements. Condition of Static Equilibrium – the resultant force at each node is zero. Constitutive Relation – that describes how the material (spring) responds to the applied loads.

## What is the matrix size of the global stiffness of the given spring system?

Consequently for a system of spring elements with n nodes, the size of the global stiffness matrix K will be of size n x n (since we have one degree of freedom at each node).

What are properties of global stiffness matrix?

All element stiffness matrices are singular. Element stiffness matrices can not be inverted. For element stiffness matrices, there is no unique solution to {q} = [k]{u}. For element stiffness matrices, there is at least one non-trivial (non-zero) vector {u} for which [k]{u} = {0}.

What is global stiffness matrix?

Explanation: A global stiffness matrix is a method that makes use of members stiffness relation for computing member forces and displacements in structures. The dimension of global stiffness matrix K is N X N where N is no of nodes.

### What is local and global stiffness matrix?

The assembly of local stiffness matrices into a global stiffness matrix is carried out by enforcing continuity conditions along the interfaces which, in effect, leads to reformulation of the problem in terms of interfacial displacements as the basic unknown variables.

### Which of the following is true for the global stiffness matrix?

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 is the global stiffness method called?

What is the Global stiffness method called? Explanation: Global stiffness matrix method makes use of the members stiffness relations for computing member forces and displacements in structures. Hence Global stiffness matrix or Direct stiffness matrix or Element stiffness matrix can be called as one.

What is global stiffness method called?

#### What is a global stiffness matrix?

The global stiffness matrix, [K]*, of the entire structure is obtained by assembling the element stiffness matrix, [K]i, for all structural members, ie. ( M-members) and expressed as. (1) where [K]i, is the stiffness matrix of a typical truss element, i, in terms of global axes.