Question

The height of the reinforced concrete water tower given in the figure is I=100 m, the inner diameter of the circular column is 2.5 m, and the outer diameter is 3 m. The mass of the tank is m=275000 kg and it is completely filled with water. E=30 GPa. X) Calculate the natural period and natural angular frequency of the reinforced concrete water tank. Y) The initial displacement of 25 cm, calculate the function u(t). 275000 kg I 100m 0.25 m r = 3m r = 2.5m

Name: the height of the reinforced concrete water tower given in the figure is i100 m the inner diameter of the circular column is 25 m and the outer diameter is 3 m the mass of the tank is m27500 95225
Uploaded: 2022-09-28T11:38:55-08:00
Duration: 1 min 29 s
Channel: Khoobchandra Agrawal
Description: the height of the reinforced concrete water tower given in the figure is i100 m the inner diameter of the circular column is 25 m and the outer diameter is 3 m the mass of the tank is m27500 95225

          The height of the reinforced concrete water tower given in the figure is I=100 m,
the inner diameter of the circular column is 2.5 m, and the outer diameter is 3 m.
The mass of the tank is m=275000 kg and it is completely filled with water. E=30 GPa.
X) Calculate the natural period and natural angular frequency of the reinforced
concrete water tank.
Y) The initial displacement of 25 cm, calculate the function u(t).
275000 kg
I 100m
0.25 m
r = 3m
r = 2.5m

the height of the reinforced concrete water tower given in the figure is i100 m the inner diameter of the circular column is 25 m and the outer diameter is 3 m the mass of the tank is m27500 95225

Added by Terri F.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Khoobchandra Agrawal

09/28/2022

Step 1

The column is a hollow cylinder, so the area moment of inertia is given by: $I = \frac{\pi}{64}(D_o^4 - D_i^4)$ where $D_o$ is the outer diameter and $D_i$ is the inner diameter. Given $D_o = 3 m$ and $D_i = 2.5 m$, we have: $I = \frac{\pi}{64}(3^4 - 2.5^4) = Show more…

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The height of the reinforced concrete water tower given in the figure is I=100 m, the inner diameter of the circular column is 2.5 m, and the outer diameter is 3 m. The mass of the tank is m=275000 kg and it is completely filled with water. E=30 GPa. X) Calculate the natural period and natural angular frequency of the reinforced concrete water tank. Y) The initial displacement of 25 cm, calculate the function u(t). 275000 kg I 100m 0.25 m r = 3m r = 2.5m