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 3 DOFs as shown. Assume L = 2h and Elb = Elc
AIM: To compute lateral stiffness of the one-story frame with the given details.
OR
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, to establish the equation of motion, and to Calculate their natural frequencies for the given.
a)
b)
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 determine the natural period of the given system.
4). Determine an expression for the effective stiffness of the following systems:
AIM: To determine an expression for the effective stiffness for given systems.
a)
b)
c)
