Calculation of Stiffness in Structural elements

Calculation of Stiffness in Structural elements

Jagadeep.M.M

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

Given:

Degree of freedom is 3

L=2h

El_b = El_c

_Ans:

To calculate the lateral stiffness of the one story frame with an intermediate realistic stiffness of the beam as shown below.

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

_Ans:

• To find the number of degree of freedom for dynamic analysis for both (a) & (b).
• Then we want to find the equation of motion.
• Calculate their natural frequencies for both given diagrams.

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.

_Ans:

• To calculate the natural frequence of propped cantiliver beam.
• The weight of the beams in comparision with the mass M is very small.
• we find the simply supported beam.

Question 4

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

_Ans: