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04-BS-7: May 2016

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 Absolute Pressure in a Pipe from a Multi-Fluid Manometer
  2. Question 2 Depth to the Water Table from an Air-Purge Borehole Test
  3. Question 3 Middle-Third (No-Tension) Check on a Concrete Canal Wall
  4. Question 4 Minimum Wind Velocity to Lift a Flat Insulation Panel
  5. Question 5 Total Head Loss from a Reservoir-Fed Pipe Test
  6. Question 6 Sizing a Pipeline Diameter via the Colebrook/Moody Friction Relation
  7. Question 7 Jet Force vs. Static Pressure Force on a Nozzle Plate
  8. Question 8 Centrifugal Pump – System Operating Point
  9. Question 9 Lift, Drag, and Thrust Power of a Cruising Boeing 747
  10. Question 10 Change in Compressive Force on Aqueduct Pillars as a Barge Passes
  11. Question 11 Which Triangular Dam Is More Likely to Slide?
  12. Question 12 Flow Net and Streamlines Through a Conical Converging Nozzle
  13. Question 13 Streamline Patterns for Tank Inflow/Outflow and Sharp-Edged Orifice Jets

Start with Question 1 →

04-BS-7 Mechanics of Fluids — May 2016 (National Examinations, three hours, closed book). Section A (Calculative) offers 9 questions and instructs "do seven"; Section B (Analytical/Graphical) offers 4 questions and instructs "do three." Every question is answered below (13 of 13), so students can use the full paper as a study resource. Constants used throughout (from the paper's own Constants page): g = 9.81 m/s², patm = 100 kPa (an atmospheric head of 10 m of water is specified separately for Question 1), ρwater = 1000 kg/m³, SGglycerine = 1.26, SGmercury = 13.56, ρconcrete = 2400 kg/m³, ρair = 1.19 kg/m³ (20°C) / 1.21 kg/m³ (15°C), μwater = 1.0×10⁻³ N·s/m², Rair = 287 J/kg·K.

Reference texts: F. M. White, Fluid Mechanics, 8th ed. (McGraw-Hill) — fluid statics and manometry (Ch. 2), hydrostatic forces and the middle-third rule (Ch. 2), dimensional analysis and drag (Ch. 5, 7), pipe friction and the Moody/Colebrook relation (Ch. 6), control-volume momentum (Ch. 3); B. R. Munson et al., Fundamentals of Fluid Mechanics — jets, orifices, and streamline patterns (Ch. 5, 8); J. D. Anderson, Fundamentals of Aerodynamics — wave/compressibility drag divergence (Ch. 5) for the Boeing 747 wind-tunnel chart used in Question 9.