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Engineering & Science calculators

Choose a task below. Check each calculator’s assumptions and units before using its result.

Pile Lateral Deflection Matlock Reese Calculator

Determine pile head lateral deflection, depth of virtual fixity, maximum bending moment, and non-linear p-y soil response per Matlock & Reese criteria.

Pipe Expansion Loop Calculator - U-Bend Leg Sizing

Calculate pipe thermal expansion U-loop leg length (H), loop width (W), developed piping length, and anchor guide reaction forces via the Kellogg formula.

Pipe Insulation Heat Loss Calculator - ASTM C680 Temp

Calculate bare vs insulated pipe heat loss (BTU/hr·ft & W/m), ASTM C680 outer jacket surface touch temperature, and annual energy dollar savings.

Pipe Spring Hanger Calculator - Variability Travel Sizing

Calculate variable spring hanger cold preset loads, operating hot loads, thermal vertical travel, and the 25% MSS SP-58 variability threshold limit.

Pipe Support Span Calculator - ASME Deflection Spacing

Calculate ASME B31.1, ASME B31.3, and MSS SP-69 maximum allowable pipe support span spacing, mid-span deflection sag, and hanger loads.

Pipe Thermal Expansion Calculator - ASME Growth Sizing

Calculate piping linear thermal expansion growth (inches & mm), expansion rate per 100 ft, and rigid anchor thrust force for ASME B31.1 and B31.3 piping.

Pipe Thermal Expansion U-Loop Calculator

Piping Flexibility & Stress Analysis: Size symmetrical expansion loops, determine thermal displacement $\Delta L$, bending stress range $S_E$, and anchor reaction loads.

Pipe Trunnion Stress Calculator - ASME B31 Integral Lug

Model localized longitudinal, circumferential, and shear stresses at pipe-to-trunnion welded junctions under deadweight, thermal friction, and lateral loads.

Pipe Wave Speed Calculator - Water Hammer Celerity Sizing

Determine pressure wave propagation speed (a) in thin and thick-walled elastic conduits using Korteweg’s equation and fluid-structure interaction.

Pipeline Attenuation Calculator - Morgan Potential Profile

Determine the electrical attenuation constant (α), pipe-to-soil potential profile along the line, and maximum permissible spacing between CP drain points.

Pipeline B31G Calculator - Corrosion ERF Remaining Life

Evaluate metal loss depth and axial length per ASME B31G and Modified B31G to compute the Folias bulging factor, safe pressure, and ERF repair urgency.

Pipeline Collapse Pressure Calculator - API 1111 DNV-ST

Calculate deepwater pipeline elastic and plastic collapse pressure, ovality derating, external water head, and allowable water depth per API 1111 & DNV-ST-F101.

Pipeline Free Span VIV Calculator - DNV-RP-F105 Screening

Screen subsea pipeline seabed spans for cross-flow and in-line vortex-induced vibrations (VIV), calculate natural frequencies, and evaluate DNV-RP-F105 fatigue risk.

Pipeline Hydrotest Calculator - Water Volume & Pressure

Determine pipeline water fill volume (bbl / m³), strength test target pressure, and thermal pressure fluctuations (ΔP/ΔT) during hold periods.

Pipeline Lateral Buckling Calculator - DNV-RP-F110 Hobbs

Calculate high-pressure high-temperature (HP/HT) effective compressive axial force, Hobbs critical lateral buckling load, buckle amplitude, and DNV-RP-F110 risk.

Pipeline On-Bottom Stability Calculator - DNV-RP-F109

Calculate pipeline dry and submerged weights, specific gravity, wave-current hydrodynamic loads, and lateral stability factor of safety per DNV-RP-F109.

Pipeline Pig Speed Calculator - Gas & Liquid Flow Rate

Model pipeline inspection (ILI) and cleaning pig velocity from volumetric throughput, and size pig bypass orifices to reduce pig velocity in high-rate gas lines.

Pipeline Vacuum Breaker Calculator - Air Relief Sizing

Determine critical pipe buckling collapse pressure (Pcrit) and required air inflow CFM to prevent column separation vacuum per AWWA C512 & Stewart.

Piping Acoustic Fatigue Sound Power Carucci Calculator

Screen relief valve and depressuring flare piping for Acoustic Induced Vibration (AIV) fatigue failure using Carucci-Mueller and EEMUA 158 guidelines.

Piping Slug Flow Impact Force Calculator

Two-Phase Flow Dynamics: Compute hydrodynamic liquid slug momentum flux, peak transient elbow thrust forces, and structural restraint design loads at pipe bends.

Piping Thermal Expansion Calculator - Guided Cantilever

Compute total pipe thermal elongation (ΔL) and size minimum flexible perpendicular leg length to absorb expansion within allowable displacement stress range.

PKN Fracture Geometry Calculator - Perkins Kern Sizing

Model 2D fracture propagation where fracture length is much greater than height (L >> h), calculating wellbore dynamic width, tip net pressure, and half-length.

Planetary Aerobraking Drag Deceleration Calculator

Entry, Descent & Orbit Insertion: Model upper-atmosphere planetary aerobraking passes, peak g-load deceleration, aerothermal stagnation heating, and apoapsis orbital decay.

Planetary Gravity Assist Flyby Calculator

Interplanetary astrodynamics: Model hyperbolic gravitational slingshot flybys, hyperbolic eccentricity ($e$), turning deflection angle ($\delta$), impact parameter ($b$), and heliocentric velocity gain ($\Delta V$).

Plasma Debye Length & Sheath Calculator

Fundamental plasma physics: Calculate the electrostatic Debye shielding length ($\lambda_D$), electron plasma frequency ($\omega_{pe}$), Bohm sound speed ($c_s$), and sheath potential drop ($V_s$).

Plasma Etch Anisotropy & Aspect Ratio Calculator

Semiconductor dry etching & Reactive Ion Etching (RIE): Calculate directional anisotropy ($A$), lateral undercut, film-to-mask selectivity ($S$), aspect ratio dependent etching (ARDE lag), and sidewall angle.

Plate Heat Exchanger Calculator - Pressure Drop NTU

Model gasketed plate heat exchanger (PHE) hydraulics: calculate channel velocity, Reynolds number, chevron corrugation friction factors, and line pressure drop.

Plate Heat Exchanger Calculator - Surface Area NTU Sizing

Size gasketed and brazed plate heat exchangers (PHE) to determine thermal length (NTU), required plate count, port velocities, and chevron angle selection.

Plug Flow Reactor Volume Calculator - PFR Conversion

Calculate tubular PFR reactor volume, space time, fractional conversion, and compare volume requirements directly against a continuous stirred tank.

PN Junction Depletion Width & Potential Calculator

Semiconductor device physics: Calculate the built-in barrier potential ($V_{bi}$), transition depletion width ($W$), peak electric field ($E_{max}$), and junction capacitance ($C_j$).

Pneumatic Conveying Elbow Calculator - Pipe Bend Pressure

Estimate bulk solids re-acceleration pressure loss, gas velocity drop, and equivalent straight pipe length across 90-degree elbows and vortex blind tees.

Pneumatic Conveying Saltation Calculator - Rizk Velocity

Calculate horizontal dilute-phase saltation velocity, minimum safe conveying velocity, solids loading ratio, and blower CFM using the Rizk correlation.

Pneumatic Cylinder Force Calculator - Air Consumption CFM

Model pneumatic actuator thrust force (extend and retract accounting for rod area), cycle air consumption in SCFM, and annual electrical operating costs.

Pneumatic Cylinder Thrust & Air Rate Calculator

Determine double-acting cylinder extend thrust force, retract pull force, and standard air consumption ($SCFM$ and L/min) per ISO 15552.

Polymer Extrusion Die Swell Calculator

Determine extrudate diametral swell ratio ($B = D/D_0$), recoverable shear strain ($S_R$), first normal stress difference ($N_1$), and final profile dimensions.

Polymer Melt Viscosity Cross WLF Calculator

Model shear-thinning pseudoplastic behavior, zero-shear viscosity (η0), critical shear stress, and temperature-dependent viscosity per the Cross-WLF formulation.

Ponderomotive Squeezing Noise Calculator

Quantum optics & gravitational wave detectors: Compute radiation pressure ponderomotive squeezing of light, quadrature noise reduction ($\text{dB}$ below standard quantum limit), and optimal squeezing angle ($\theta_{\text{sq}}$).

Porous Air Bearing Load & Stiffness Calculator

Ultra-Precision Machine Design: Determine aerostatic load capacity ($W$), micro-gap air film stiffness ($K_h$), and volumetric compressed air consumption for porous precision bearings.

Pot Still Yield Calculator - Distillate Cut Proof

Model pot still alcohol mass balance, foreshots discard, heads, hearts, and tails volumetric cuts, spirit proof, and boiler thermal run times.

Powder Green Density & Compaction Calculator

Calculate powder metallurgy compaction behavior: Green density (\(\rho_{green}\)), Heckel yield pressure, required press tonnage, and ejection springback.

Prandtl Lifting-Line Wing Circulation Calculator

Classical Aerodynamics: Calculate bound vortex circulation ($\Gamma_0$), downwash ($w_0$), induced angle of attack ($\alpha_i$), and 3D lift curve slope ($a$).

Prandtl Meyer Supersonic Expansion Calculator

Calculate downstream Mach number (M2), isentropic static pressure and temperature drops, and expansion fan Mach wave angles around convex corners.

PREN Pitting Resistance Index Calculator

Stainless Alloy Metallurgy: Calculate Pitting Resistance Equivalent ($\text{PREN}$, $\text{PRENW}$), critical pitting temperature (CPT), and seawater suitability.

Prep Chromatography Scale-Up Calculator - Linear Flow Sizing

Scale laboratory columns to pilot and commercial bioprocess chromatography maintaining bed height, linear velocity, and volumetric throughput.

Preston CMP Material Removal Rate Calculator

Semiconductor thin films & wafer planarization: Model Chemical Mechanical Planarization (CMP) Material Removal Rate (MRR), Preston constant, polishing pad velocity, and WIWNU.

Propeller Thrust & Torque from KT/KQ

Calculate propeller thrust, torque, advance ratio and shaft power from supplied KT and KQ coefficients, diameter, RPM, density and inflow velocity.

Proportional Navigation Guidance Calculator

Aerospace Missile Guidance: Calculate line-of-sight (LOS) angular rate ($\dot{\lambda}$), closing velocity ($V_c$), and commanded lateral acceleration ($n_c$) via PN law.

Proppant Settling Velocity Calculator - Hindered Stokes

Determine terminal downward settling rates (ft/min) for sand and ceramic proppants in Newtonian slickwater and non-Newtonian fracturing gels.