Calculation of Stiffness in Structural elements

1. Aim: To determine the lateral stiffness of the one story frame with an intermediate realistic stiffness of the beam. The system has 3 DOFs as shown.

Procedure: This structure can be analyzed by any of the standard methods, including moment distribution. Here we use the definition of stiffness influence coefficients to solve the problem. The system has three Degree of freedom. To obtain the first column of the 3×3 stiffness matrix.

2(a):

Aim: To Determine the number of degrees-of-freedom for dynamic analysis

Procedure: Determine the number of degrees-of-freedom for dynamic analysis

2(b):

Aim: To Determine the number of degrees-of-freedom for dynamic analysis Establish the equation of motion Calculate their natural frequencies.

procedure: To Determine the number of degrees-of-freedom for dynamic analysis Establish the equation of motion Calculate their natural frequencies.

3. Aim: The beams are made from the same steel section and have lengths as shown on the diagram. Determine the natural period of this system if a large mass, M, is placed at the intersection of the beams at point A. The weight of the beams in comparison with the mass M is very small.

procedure: The beams are made from the same steel section and have lengths as shown on the diagram. Determine the natural period of this system if a large mass, M, is placed at the intersection of the beams at point A. The weight of the beams in comparison with the mass M is very small.

4. Aim: To determine the expression for the effective stiffness of the following systems:

procedure: To determine the expression for the effective stiffness of the following systems by.