Which of the following statement(s) is/are correct about strip theory?
Show Hint
- It can be used to calculate the surge added mass
- It is a two-dimensional theory
- It can be used to calculate the pitch added mass
- It can be used to calculate the coupled sway, roll, and yaw added mass
The Correct Option is B
Solution and Explanation
Step 1: Understand the concept of strip theory.
Strip theory is a two-dimensional hydrodynamic theory used in naval architecture. It simplifies the three-dimensional body of a ship into two-dimensional cross-sections (strips) to analyze hydrodynamic forces and added masses. It is particularly useful for analyzing motions such as heave, pitch, sway, roll, and yaw in a linearized form.
Step 2: Analyze the given statements.
Statement (A): Incorrect. Strip theory does not calculate the surge added mass directly, as surge involves longitudinal motion, which requires a fully three-dimensional analysis.
Statement (B): Correct. Strip theory is a two-dimensional approach, analyzing individual cross-sections of a ship rather than the entire three-dimensional structure.
Statement (C): Correct. Strip theory can calculate added masses for vertical motions such as pitch and heave, as these involve hydrodynamic interactions captured in two-dimensional cross-sections.
Statement (D):Correct. Strip theory can handle coupled motions like sway, roll, and yaw by approximating the interactions using cross-sectional hydrodynamics.
Conclusion: The correct statements about strip theory are: (B) It is a two-dimensional theory.
(C) It can be used to calculate the pitch added mass.
(D) It can be used to calculate the coupled sway, roll, and yaw added mass.
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