Pile, hammer, PDA, and environmental parameters

Use the parameters below for the Project Part 3 analysis. Per the project requirements, users should be able to adjust these parameters, if desired from within the notebook. Do not overwrite the parameters in the support code files.

Pile parameters

Parameter Description Default value
\(L\) Total pile length 150 feet
\(A\) Pile cross-sectional area 477 square inches
\(b\) Pile perimeter 56 inches
\(E\) Pile modulus 6,807,000 psi
\(c\) Pile wave speed 14450 feet/second
\(\rho\) Pile mass density 2403 kg/m^3
\(\nu\) Poisson’s ratio 0.2

Hammer parameters

Parameter Description Default value
\(W\) Hammer ram weight 20,000 pounds
\(a\) \(S_o\) equation efficiency 0.4
\(h_{0}\) piston height at the start of Phase 1 varies
\(m_{piston}\) piston mass 9072 kg
\(A_{piston}\) piston cross-sectional area 0.75 m
\(V_{min}\) minimum volume of the combustion chamber when piston height is zero 7.5e-4 m^3
\(h_{exhaust}\) exhaust port height 0.5 m
\(V_{fuel}\) volume of fuel injected per cycle varies
\(\rho_{fuel}\) fuel density 832 kg/m^3
\(Q_{fuel}\) specific energy content of fuel 44 MJ/kg
\(\eta_{combustion}\) combustion efficiency 0.4
\(T_{ignition}\) ignition temperature 500 K
\(T_{ambient}\) ambient temperature 300 K
\(P_{atm}\) ambient temperature 101 kPa
\(g\) gravitational acceleration 9.81 m/s/s or 32.2 ft/s/s

PDA parameters

Parameter Description Default value
\(L_{pda}\) Distance from PDA instruments to pile toe 128.8 feet
\(J\) Case method soil damping 0.5
\(d_{2813}\) Pile tip depth at blow 2813 113 feet
\(d_{3701}\) Pile tip depth at blow 3701 132 feet
\(t_{imp,2813}\) Time of start of blow impact for blow 2813 29.4 milliseconds
\(t_{imp,3701}\) Time of start of blow impact for blow 3701 29.0 milliseconds

Environmental parameters

Parameter Description Default value
\(c_{air}\) Speed of sound in air 1125 feet/second
\(c_{water}\) Speed of sound in water 4920 feet/second
\(\rho_{air}\) Density of air 1.225 kg/m^3
\(\rho_{water}\) Density of water 1025 kg/m^3
\(p_{ref,air}\) Acoustic reference pressure for air 20 \(\mu\)Pa
\(p_{ref,water}\) Acoustic reference pressure for water 1 \(\mu\)Pa