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Open CalculatorAll Naval Architecture And Marine PE Equations (17)
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Archimedes' Principle
Calculates the buoyant force on a submerged or floating body.
basicHigh Frequency -
Bending Moment
Calculates bending moment in beams or hull girders.
intermediateHigh Frequency -
Cavitation Number (Sigma)
Predicts cavitation inception on propellers or foils.
intermediate -
Darcy-Weisbach Equation
Head loss due to friction in pipes.
intermediateHigh Frequency -
Electrical Power
Power in electrical circuits.
basicHigh Frequency -
Free Surface Effect
Reduction in metacentric height due to free liquid surfaces.
intermediateHigh Frequency -
Frictional Resistance
Calculates the frictional component of hull resistance.
intermediate -
Froude Number
Dimensionless number for wave-making resistance.
basic -
Galvanic Corrosion Potential
Difference in electrode potentials driving galvanic corrosion.
basic -
Heat Transfer Rate in Heat Exchanger
Rate of heat transfer in heat exchangers.
intermediateHigh Frequency -
Metacentric Height
Measures the initial static stability of a floating body.
basic -
Propeller Thrust
Thrust generated by a propeller.
intermediate -
Righting Arm (GZ)
The lever arm for the righting moment at a given heel angle.
intermediate -
Shear Stress in Beams
Calculates average shear stress.
intermediateHigh Frequency -
Thermal Efficiency of Engine
Efficiency of converting heat to work in engines.
basicHigh Frequency -
Voltage Drop in Cables
Calculates voltage drop in electrical cables.
basicHigh Frequency -
Wave Speed in Deep Water
Calculates the celerity of waves in deep water.
intermediate
Frequently Asked Questions
How do I use Archimedes' Principle on the PE exam?
Critical for ship stability problems. Remember that displaced volume V is the submerged portion only, not total vessel volume. For floating bodies, buoyant force equals weight at equilibrium. Often combined with metacentric height calculations.
How do I use Bending Moment on the PE exam?
This is the flexure formula rearranged for bending moment. Remember that y is measured from the neutral axis to the point of maximum stress (usually the extreme fiber). For ship hulls, consider both hogging and sagging conditions. Maximum stress typically occurs at deck or keel.
How do I use Cavitation Number (Sigma) on the PE exam?
Cavitation number appears frequently on naval architecture and hydraulic machinery problems. Remember: σ < 0.2 typically indicates high cavitation risk. Always check vapor pressure at operating temperature - it increases exponentially with temperature. Don't forget hydrostatic pressure contribution at depth.
How do I use Darcy-Weisbach Equation on the PE exam?
Essential for all piping calculations. Know that friction factor depends on Reynolds number and relative roughness. For exam speed, memorize f ≈ 0.02 for turbulent flow in commercial steel pipe. Always check if pipe diameter is given as inside or outside diameter.
How do I use Electrical Power on the PE exam?
This is the fundamental DC power equation. For AC systems, remember that this gives apparent power only when voltage and current are RMS values. For real power in AC circuits, multiply by power factor (P = VI cos φ). Always check if the problem specifies AC or DC conditions.