Learn how to calculate hydrostatic force (Fp) and holding force (Fr) on a vertical gate — a must-know topic for the FE Civil Exam Fluid Mechanics section! We break it all down using the key formulas: 1️⃣ Fr × H = Fp × Hc (Potential energy conservation for fluid pressure moment balance) 2️⃣ Fp = Avg. P × Av where Avg. P = ρg(H/2) 3️⃣ Pressure formula: P = ρgh (h varies from 0 → H) 4️⃣ Area of vertical rectangle: Av = 5 m × 4 m = 20 m² 5️⃣ Centroid height: Hc = H/3 = m 6️⃣ Substitute values: ρ = 1500 kg/m³ g = 9.8 m/s² H = 5 m Fp = ρg(H/2) × Av = 1,500 × 9.8 × 2.5 × 20 = 735 kN Fr × 5 = 735 × → Fr ≈ 250 kN 📊 Concepts covered: ✅ Hydrostatic Pressure Distribution ✅ Resultant Force Location ✅ Moment Balance About Hinge ✅ Unit conversions (N → kN) ✅ Common FE Civil Exam pitfalls 💡 Keywords (SEO-rich): FE Civil Exam, Resultant Force on Gate, Fluid Mechanics FE, Hydrostatic Force, Pressure Distribution, Moment on Gate, Civil Engineering Formulas, Gate Force FE Exam, FE Civil Prep, Average Pressure Formula, ρgH, Area × Pressure, Hydrostatics, FE Review Problems 🔔 Subscribe for more: Weekly FE problem breakdowns, formula derivations, and real-life civil engineering applications! RESOURCES & LINKS MENTIONED IN THIS VIDEO: BOOKS RECOMMENDED FOR THE FE: FE Civil Practice Exam NCEES: FE Civil Reference Manual: (FREE Signup/Signin and use link to DOWNLOAD) FE Civil Practice (Latest edition): FE Civil Practice Problems (Oldest edition): TI-36X Pro: TI 84 Plus Graphing Calculator: =sr_1_1_sspa?asc_campaign=3f05ed99d40a8630e778f41d994fd7ff&asc_source=01HPSC554HBM5TZJ7QNRZ531TB&tag=snx185-20&th=1 If you have any questions about the FE exam, please leave it in the comments 👇 Be sure to SUBSCRIBE and HIT the BELL so you get notified when I release future videos. ⏱️ Chapters (With Hooks & Tags) 00:00 - Introduction to the Problem 01:08 - Understanding Pressure Distribution (Pressure Triangle) 01:30 Pressure Formula: P = ρ * g * H 02:20 Calculating Average Pressure 03:32 Location of Resultant Pressure Force (Centroid of Triangle) 04:10 Potential Energy Conservation Equation 04:14 Calculating the Pressure Force (F_P) 06:07 Solving for the Resisting Force (F_R) 06:35 Key Takeaways and Summary ✅ TOP FE EXAM KEYWORDS: FE Civil Exam Prep NCEES FE Practice Fluid Mechanics FE Exam Archimedes’ Principle FE Buoyancy Force Engineering Hydrostatics FE Civil Step-by-step FE problems How to pass FE Exam 2025 Best FE Civil tips Fluid Statics questions FE FE Civil Review Course FE Exam Buoyancy Explained 📚 Topics Covered: Archimedes’ Principle (Buoyant Force Basics) Fluid Statics Fundamentals NCEES-style Multiple Choice Strategy Memorizing Key Definitions and Concepts











