Calculation of Stiffness in Structural elements

Question 1:

Compute lateral stiffness of the one story frame with an intermediate realistic stiffness of the beam. The system has 3 DOFs as shown. Assume L = 2h and El_b = El_c

Aim: to compute lateral stiffness of one storey frame with given parameters.

Question 2:

For the following structures:

• Determine the number of degrees-of-freedom for dynamic analysis
• Establish the equation of motion
• Calculate their natural frequencies

Aim: to determine the number of degrees of freedom,establish the equation of motion and calculate their natural frequencies.

Question 3:

Consider the propped cantilever shown in the figure below. 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.

Aim: to calculate the natural period of the given system.

Question 4

Determine an expression for the effective stiffness of the following systems:

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