Contents [show]
Each of the following columns supports a block of identical mass, m. The columns are fixed at the bottom and free at the top. The height of the first column is twice the height of the second column. The modulus of elasticity, E, and moment of inertia, I, for both columns are the same. The systems have natural periods of vibration of T1 and T2, respectively. Neglecting the weight of the columns, what is the natural period of vibration for the first system?
a. 0.2T2
b. 0.2T2
c. 2T2
d. 3T2
Answer D.
SI solution
The stiffness of a cantilever beam is described by
It is known that E1=E2 and I1=I2. Since h1=2h2, then:
Since K2=8K1 , then:
System 1:
System 2:
Given that m1=m2, it is assumed:
A bridge bearing is a structural device that help...
The 1908 Messina earthquake, also known as the G...
Introduction An iconic civil structure is a...
Introduction to Diaphragms As diaphragm is consid...
Structural stability is the ability of a structur...
When the relationship between applied forces and...