Calculation of Stiffness in Structural elements
1. Compute lateral stiffness of the one story frame with an intermediate realistic stiffness of the beam. The system has 3DOFs as shown. Assume L = 2h, Elb = Elc.
ANSWER
2. For the following structure
- Determine the number of degrees of freedom for dynamics analysis
- Establish the equation of motion
- Calculate their natural frequencies
ANSWER
3. Consider a propped cantilever shown in figure. The beam are made from the same steel section and have length as shown in figure. 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 beam in comparison with the mass M is very small.
ANSWER
- Two beams are connected with one another. One beam is Cantilever beam and other one is simplt supported beam.
4. Determine an expression for the effective stiffness of the following systems.
ANSWER
- An expression for the effective stiffness of fig
K = 3EI / L^3.
- An expression for the effective stiffness of fig
K = 3EL / L^3 + 3EI / L^3
= 6EI / L^3
- An expression for the effective stiffness of fig
K = 12EI / L^3 + 12EI / L^3
= 24EI / L^3