Numerical Integration Examples for Waterplane Area and Sectional Area
Explore step-by-step examples illustrating numerical integration techniques for calculating waterplane area, sectional area, submerged volume, and longitudinal center of floatation. Detailed instructions and visual aids provided for a better understanding.
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Presentation Transcript
Numerical Integration Sections 2.8 - 2.9 Example Answers
Waterplane Area (Awp) Example Steps 1. Draw Picture and D.E. 2. Calc EQN 3. Simpson s EQN A. Constants in front B. dx ? 3 C. In front of dx Simpson s multiplier 4. Plug and Chug
Sectional Area (ASECT) Example Steps 1. Draw Picture and D.E. 2. Calc EQN 3. Simpson s EQN A. Constants in front B. dz ? 3 C. In front of dz Simpson s multiplier 4. Plug and Chug
Submerged Volume (?s) Example Steps 1. Draw Picture and D.E. 2. Calc EQN 3. Simpson s EQN A. Constants in front B. dx ? 3 C. In front of dx Simpson s multiplier 4. Plug and Chug For this, either given Asect for stations or Asect curve
Longitudinal Center of Floatation (LCF) Example Steps 1. Draw Picture and D.E. 2. Calc EQN 3. Simpson s EQN A. Constants in front B. dx ? 3 C. In front of dx Simpson s multiplier 4. Plug and Chug
