Section: Solid Mechanics | Marks: 1
The supporting structure of a water tank is made of reinforced concrete (RC) with a tubular cross section of inner diameter di, outer diameter do, height l, and Young’s modulus E. The mass of the tank is m. If mass of the supporting structure is neglected, then the natural frequency of the water tank in transverse direction is
- A. ට3𝜋𝜋𝜋𝜋൫𝑑𝑑𝑜𝑜 − 4 𝑑𝑑𝑖𝑖 4൯ 64𝑙𝑙3𝑚𝑚
- B. ට𝜋𝜋𝜋𝜋൫𝑑𝑑𝑜𝑜 − 4 𝑑𝑑𝑖𝑖 4൯ 8𝑙𝑙3𝑚𝑚
- C. ) ට384𝜋𝜋𝜋𝜋൫𝑑𝑑𝑜𝑜 − 4 𝑑𝑑𝑖𝑖 4൯ 360𝑙𝑙3𝑚𝑚
- D. ට𝜋𝜋𝜋𝜋൫𝑑𝑑𝑜𝑜 − 4 𝑑𝑑𝑖𝑖 4൯ 64𝑙𝑙3𝑚𝑚
Answer: A. ට3𝜋𝜋𝜋𝜋൫𝑑𝑑𝑜𝑜 − 4 𝑑𝑑𝑖𝑖 4൯ 64𝑙𝑙3𝑚𝑚