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Online pneumatic tools
Estimate cylinder force and bore, air demand, valve flow, pressure drop, receiver size, leak cost, vacuum grip, unit conversions, import cost, and custom-cylinder order commitment before sending a model, drawing, or replacement request to Bepto Pneumatic.
Maintained and reviewed by Bepto Pneumatic engineering team·Last reviewed
Built for preliminary sizing, quotation preparation, product replacement review, and clean unit communication across international pneumatic catalogs.
Popular calculators
Start with the Cylinder Force Calculator when bore and pressure are known, or the Cylinder Bore Size Calculator when the required force is known. Use the task shortcuts for flow, compressed-air, vacuum, conversion, and purchasing checks.
Estimate theoretical, effective, and safety-adjusted push and pull force from bore size, rod diameter, working pressure, friction allowance, and safety factor.
Open calculator →Find the minimum pneumatic cylinder bore needed for a target force after pressure, rod diameter, friction allowance, and safety factor are considered.
Open calculator →Estimate cylinder air demand from bore, rod diameter, stroke length, action type, pressure, and cycles per minute before checking compressor capacity.
Open calculator →Calculate the free-air flow required to hit a target stroke time for pneumatic cylinder extension and retraction.
Open calculator →Estimate straight-run compressed-air pressure drop from flow, pipe length, internal diameter, working pressure, and equivalent fitting length.
Open calculator →Estimate theoretical and safety-adjusted holding force from vacuum level, cup diameter, number of cups, and safety factor.
Open calculator →Toolkit index
Choose the calculator from the values you already know and the result you need. Filter by engineering task, search by symptom or quantity, then verify the output against actual operating conditions and product data.
Estimate theoretical, effective, and safety-adjusted push and pull force from bore size, rod diameter, working pressure, friction allowance, and safety factor.
Open toolFind the minimum pneumatic cylinder bore needed for a target force after pressure, rod diameter, friction allowance, and safety factor are considered.
Required Area = Design Force / (Pressure x Efficiency x Speed-Based Load Factor)Open toolEstimate cylinder air demand from bore, rod diameter, stroke length, action type, pressure, and cycles per minute before checking compressor capacity.
Open toolEstimate extend and retract speed from bore, rod diameter, stroke, working pressure, and available free-air flow.
Open toolCalculate the free-air flow required to hit a target stroke time for pneumatic cylinder extension and retraction.
Open toolEstimate how long a pneumatic cylinder stroke will take from stroke length, effective area, available free-air flow, and pressure.
Open toolCheck piston rod buckling risk from rod diameter, unsupported length, mounting condition, applied force, and safety factor before selecting a long-stroke cylinder.
Open toolEstimate kinetic and drive energy that the cylinder cushion or external shock absorber must absorb at the end of stroke.
Cushion Energy = (0.5 x Mass x Velocity^2 + Drive Work + Gravity Work) x SafetyOpen toolEstimate required pneumatic rotary actuator torque from load mass, lever radius, angular acceleration, gravity orientation, friction, safety, and efficiency.
Torque = (Inertia x Angular Acceleration + Load Torque) x Safety / EfficiencyEnergy = 0.5 x Inertia x Angular Speed^2Open toolSelect a preliminary standard cylinder bore from moving mass or external load while accounting for travel direction, guide friction, acceleration, stroke time, pressure, safety, automatic speed-based load factor, and estimated cycle air. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Fdesign = (ma + Fgravity + Ffriction + Fexternal) × SFD = √(4Fdesign / πPηλ)Open toolSelect a preliminary guided or slide cylinder bore and check offset moment plus end-of-travel kinetic energy against entered catalog limits in one workflow. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Mdesign = Fdesign × eE = ½mv²utilization = demand / catalog limit × 100%Open toolCalculate full piston area, rod area, annular return area, and the extension-to-retraction area ratio from cylinder bore and rod diameter. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Aₚ = πD² / 4Aₐ = π(D² − d²) / 4Open toolEstimate the minimum actuator pressure needed to move a load after safety factor, friction, direction, rod area, and exhaust back pressure are included. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Pmin = (Fload × SF + Ffriction + Pback × Aopp) / AdriveOpen toolQuantify cylinder output lost to seal and guide friction plus return-side back pressure instead of treating catalog theoretical force as usable force. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Floss = Ffriction + Pback × AannularOpen toolEstimate the force required to initiate cylinder motion from rest using seal stiction, guide normal load, static friction coefficient, preload, and margin. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Fbreakaway = (Fseal + μstatic × N + Fpreload) × SFOpen toolSize a cylinder lifting a vertical mass by combining gravity, upward acceleration, mechanical friction, working pressure, and design safety factor. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Fdesign = [m(g + a) + Ffriction] × SFD = √(4F / πP)Open toolCalculate theoretical and efficiency-adjusted output from tandem or multi-piston cylinders and compare it with an equivalent single-piston bore. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Feffective = n × P × A × ηOpen toolEstimate average end-of-stroke impact force from moving mass, approach velocity, effective stopping distance, and continuing cylinder drive force. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Favg = m v² / (2s) + FdriveOpen toolCalculate kinetic energy, momentum, hourly energy events, and equivalent drop height for a linearly moving pneumatic-axis load. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Ek = ½mv²Open toolEstimate energy capacity per cycle and hourly heat dissipation for an external shock absorber stopping a pneumatically driven load. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Edesign = (½mv² + Fdrive × s) × SFOpen toolEstimate elastic rod tip deflection, bending stress, section inertia, and slope under a transverse load for preliminary alignment screening. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
δ = FL³ / (3EI) for a cantileverOpen toolEstimate elastic deflection and bending stress of a cantilevered cylinder or support member under side load using section diameter and span. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
δ = FL³ / (3EI)σ = Mc / IOpen toolResolve a misaligned applied load into cylinder side load, side moment, catalog-limit utilization, and remaining nominal capacity. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Fside = F × sin θM = Fside × eOpen toolCalculate raw and safety-adjusted moment from an offset cylinder load, plus allowable-force and catalog-moment utilization checks. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Mdesign = F × e × SFOpen toolResolve an offset three-axis load into Mx, My, and Mz moments and screen the combined utilization against catalog moment limits. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
M = r × FUcombined = |Mx|/Mx,max + |My|/My,max + |Mz|/Mz,maxOpen toolFind the two-dimensional center of gravity, total mass, and radial offset for up to three component masses on an actuator carriage. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
x̄ = Σmixi / Σmiȳ = Σmiyi / ΣmiOpen toolEstimate mass moment of inertia, rotational kinetic energy, angular momentum, and radius of gyration for common load idealizations. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
I = k m r²Erot = ½Iω²Open toolEstimate average emergency-stop deceleration, inertial force, total stopping time, and reaction travel from speed, mass, and available stopping distance. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
a = v² / (2s)F = maOpen toolEstimate the natural frequency of a mass-spring axis, compare excitation frequency, and calculate idealized dynamic amplification with damping. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
fn = (1 / 2π)√(k/m)Open toolCalculate complete machine cycle time, cylinder active duty percentage, cycles per minute, and maximum theoretical cycles per hour. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Duty = (textend + tretract) / tcycle × 100%Open toolCalculate instantaneous mechanical output, estimated pneumatic input, duty-adjusted average power, and horsepower from actuator force and speed. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Pmechanical = FvPinput = Fv / ηOpen toolCalculate flow rate, valve Cv value, or pressure drop using the relationship between flow coefficient, pressure drop, and specific gravity.
Open toolEstimate compressed-air flow through a round orifice from diameter, upstream pressure, downstream pressure, temperature, and discharge coefficient.
Open toolEstimate the minimum internal diameter needed to keep compressed-air velocity near a selected target at a given flow and pressure.
Open toolCalculate estimated compressed-air velocity inside a tube or pipe from free-air flow, internal diameter, and working pressure.
Open toolEstimate straight-run compressed-air pressure drop from flow, pipe length, internal diameter, working pressure, and equivalent fitting length.
Open toolEstimate approximate compressed-air jet thrust from nozzle flow, air density, exit velocity, nozzle diameter, supply pressure, and nozzle count.
Open toolEstimate minimum pilot pressure from spring force, spool pressure area, pilot area, friction, back pressure, and actuation margin. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Ppilot = (Fspring + Ffriction + PbackAspool) × SF / ApilotOpen toolEstimate valve pressure drop, outlet pressure, and drop percentage from required air flow, inlet pressure, and catalog Cv. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Qscfm ≈ 22.67 Cv √[ΔP(P1 + P2)]Open toolTranslate cylinder bore, rod, stroke, pressure, direction, target time, and allowed pressure drop into required free-air flow and valve Cv. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Qn = A × L / t × Pabs/PatmCv = Q / [22.67√(ΔP(P1+P2))]Open toolEstimate standard air flow from ISO 6358 sonic conductance C, critical pressure ratio b, and upstream and downstream pressures. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
qn = C p1 × flow factor(p2/p1, b)Open toolEstimate electrical current-rise delay, coil time constant, mechanical shift contribution, pneumatic delay, and total valve response time. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
te = −(L/R) ln(1 − Ith/I∞)ttotal = te + tmechanical + tpneumaticOpen toolCalculate steady coil current, electrical power, duty-adjusted average power, and hourly energy from voltage, resistance, and duty cycle. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
I = V/RP = VI = V²/ROpen toolScreen total flow, common-passage air velocity, pressure drop, and end pressure when multiple manifold stations operate together. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
ΔP = f(L/D)(ρv²/2)Qtotal = n × QstationOpen toolEstimate back pressure generated by a pneumatic exhaust silencer from exhaust flow, effective Cv, and upstream exhaust pressure. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Qscfm ≈ 22.67 Cv √[ΔP(P1 + P2)]Open toolEstimate required quick-exhaust Cv, Kv, and standard exhaust flow from chamber volume, initial pressure, and target exhaust time. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Qn = V × Pabs/Patm ÷ tCv from compressible air-flow relationOpen toolEstimate compressible air flow through a cushion needle or equivalent orifice using diameter, pressure ratio, temperature, and discharge coefficient. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
ṁ = Cd A p1 √[compressible-flow function(p2/p1, γ, R, T)]Open toolCalculate Reynolds number, compressed-air density, estimated mass flow, and hydraulic diameter for a pneumatic line. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Re = ρvD / μOpen toolCompare inlet and outlet pressure as an absolute compression ratio for pneumatic pressure design and booster/regulator review.
Open toolEstimate receiver tank volume for a short compressed-air demand event using demand flow, compressor support flow, event duration, and allowable pressure drop.
Open toolEstimate actual compressor free-air delivery from a receiver pump-up test using tank volume, pressure rise, and fill time.
Open toolEstimate leak flow and annual energy cost from leak diameter, line pressure, operating hours, energy price, and compressor specific power.
Open toolEstimate leak rate from system volume, pressure drop, and elapsed time when production demand is isolated.
Open toolCalculate physical tube volume and free-air volume stored in a pneumatic tube or hose at working pressure.
Open toolEstimate blow-off nozzle air consumption, SCFM, annual energy, and operating cost from nozzle diameter, pressure, count, duty cycle, and energy price.
Open toolEstimate compressor duty cycle from average pneumatic demand, compressor free-air capacity, reserve allowance, and target duty limit.
Open toolEstimate how long a compressor will take to refill an air receiver between two pressure setpoints using receiver volume and free-air delivery.
Open toolEstimate annual energy use and cost for any pneumatic air demand from average flow, duty cycle, operating hours, compressor specific power, and energy price.
Open toolEstimate how long it takes to fill a chamber, fixture, or pneumatic volume to target pressure from volume, flow, pressure ratio, and fill efficiency.
Open toolCombine two cylinder groups, actuator quantities, operating cycles, tube dead volume, concurrency, leakage reserve, future reserve, and selected supply capacity into one machine air-demand review. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Qdesign = (Qcylinders + Qtubes) × simultaneity × (1 + leakage) × (1 + future reserve)Open toolConvert between actual and reference-state volumetric air flow using absolute pressure and temperature instead of applying a unit-only factor. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Qref = Qactual × (Pactual/Pref) × (Tref/Tactual)Open toolEstimate total pressure drop, outlet pressure, maximum velocity, and equivalent length across three compressed-air pipe segments. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
ΔPtotal = Σ f(Li/Di)(ρvi²/2)Open toolEstimate condensate volume and rate when humid intake air is cooled, using inlet humidity, inlet temperature, outlet temperature, flow, and runtime. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
mcondensate = mdry air × max(win − wout, 0)Open toolConvert pressure dew point to atmospheric dew point or the reverse using the line-to-ambient absolute pressure ratio. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
pv,target = pv,source × Ptarget/PsourceTd from saturation relationOpen toolCorrect required dryer capacity for inlet temperature, operating pressure, target dew point, and reserve using supplier-table correction factors. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Qrated = Qactual × FT × FP × FDP × (1 + reserve)Open toolEstimate useful recoverable heat, annual thermal energy, avoided heat value, and unrecovered heat from compressor electrical input. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Quseful = Pcompressor × frecoverable × futilizationOpen toolEstimate added compressor power, annual energy, annual cost, and five-year cost associated with compressed-air filter pressure drop. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Padded = ΔP × Qactual / ηOpen toolEstimate active blow-off flow, annual air volume, annual compressor energy, and electricity cost for multiple nozzles or purge points. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Cost = Q × n × duty × specific power × hours × electricity priceOpen toolCalculate compressor specific power, kW per 100 cfm, cfm per kW, and hourly electrical energy from measured input and FAD. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Specific power = electrical input kW / FAD (m³/min)Open toolCalculate usable free-air storage and duration between high and low receiver pressures while accounting for continuing supply and downstream demand. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
t = V(Phigh − Plow) / [Patm(Qdemand − Qsupply)]Open toolEstimate absolute pressure ratio, inlet air demand, additional compressed-air use, and specific consumption for a pneumatic pressure booster. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Qin ≈ Qout × (Pout,abs/Pin,abs) / ηOpen toolCalculate required filter-regulator-lubricator rated flow and compare a selected FRL against peak demand, simultaneity, and reserve. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Qrated = Qpeak × simultaneity × (1 + reserve)Open toolEstimate theoretical and safety-adjusted holding force from vacuum level, cup diameter, number of cups, and safety factor.
Open toolCalculate the minimum suction cup diameter needed for a load using vacuum level, cup count, acceleration allowance, and safety factor.
Open toolEstimate required pneumatic gripper force per jaw for a friction grip using part mass, friction coefficient, jaw count, acceleration, and safety factor.
Open toolEstimate time to evacuate a vacuum cup, manifold, or chamber from initial absolute pressure to target absolute pressure using volume and pump flow.
Open toolEstimate annual compressed-air energy cost for pneumatic vacuum generators from air consumption, generator count, duty cycle, hours, and energy price.
Open toolCheck actual vacuum cup safety factor from load mass, acceleration, cup diameter, cup count, vacuum level, and target safety requirement.
Open toolEstimate required ejector suction flow from evacuated volume, initial and target absolute pressure, target evacuation time, leakage, and efficiency. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Qsuction = [V ln(Pi/Pf) / t + Qleak] / ηOpen toolEstimate vacuum-system leak rate from the absolute pressure rise in an isolated known volume over a measured test interval. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Leak throughput = V(P2 − P1)/tequivalent free-air flow = throughput/PatmOpen toolEstimate gripper payload capacity from jaw force, jaw count, friction, vertical acceleration, gravity, and safety factor. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
mpayload = Fjaws × n × μ / [(g + a) × SF]Open toolCalculate jaw bending moment, catalog moment utilization, finger-length ratio, and simple force derating for extended gripper fingers. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
M = Fjaw × LfingerFderated ≈ Fcatalog × Lcatalog/LfingerOpen toolConvert common pneumatic pressure units including bar, psi, MPa, kPa, and kgf/cm2 for datasheets, RFQs, and specification review.
Open toolConvert common pneumatic flow units including L/min, SCFM, m3/h, L/s, and m3/min for valve, FRL, and compressor review.
Open toolConvert valve flow coefficient values between Cv and Kv for quick comparison across pneumatic valve catalogs.
Open toolUse one compact tool to convert pressure and flow units side by side when reviewing pneumatic RFQs, datasheets, and replacement options.
Open toolConvert vacuum pressure among kPa gauge, bar gauge, inches of mercury gauge, and mbar absolute while preserving atmospheric reference. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Pabs = Patm + PgaugeOpen toolConvert force among N, kN, lbf, and kgf or torque among N·m, N·mm, lbf·in, and lbf·ft for pneumatic datasheet comparison. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Converted value = entered value × exact unit factorOpen toolAdd goods, logistics, duty, customs fees, broker charges, inland delivery, and import tax without hiding different cost bases inside one percentage.
Landed Cost = Goods + Freight + Insurance + Duties + Customs Fees + Broker + Inland Delivery + Import TaxOpen toolEstimate U.S. formal-entry Merchandise Processing Fee from entered value, with editable rate, minimum, and maximum assumptions.
MPF = Entered Value x Rate, subject to the entered minimum and maximumOpen toolEstimate Harbor Maintenance Fee for qualifying U.S. ocean cargo and show zero for air or mail modes.
HMF = Cargo Value x HMF Rate for qualifying ocean cargoOpen toolCompare the full custom-cylinder order commitment across unit price, NRE, tooling, validation, logistics, inventory, and design-change exposure.
Committed Cost = Order Quantity x Unit Price + NRE + Tooling + Validation + Logistics + Inventory + Change ExposureOpen toolCalculate dimensional weight per piece, total dimensional weight, chargeable weight, and the billing difference versus actual shipment weight. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Dimensional weight = L × W × H / divisorchargeable = max(actual, dimensional)Open toolCalculate demand during protection time, statistical safety stock, and reorder point from daily demand, lead time, variability, service factor, and review period. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.
Safety stock = zσd√Lreorder point = dL + safety stockOpen toolTry a broader keyword, switch back to all tools, or send the requirement for review.
Before quotation
Submit the calculated result together with the pressure, bore, stroke, cycle rate, port size, load direction, safety margin, and any replacement reference used.
Use the closest calculator for force, air demand, valve flow, or unit conversion.
Add cylinder bore, stroke, voltage, port size, pressure range, cycle rate, or replacement brand.
Bepto Pneumatic can review the numbers alongside drawings, photos, datasheets, and quantity needs.
Reference notes
Use calculator output as a preliminary engineering estimate, not as final product approval or safety validation. Confirm the result against application conditions, applicable standards, and the selected product datasheet.
Yes. The tools are browser-based reference calculators for engineers, distributors, purchasing staff, and maintenance staff preparing pneumatic product inquiries.
No. Use the calculators for early sizing and unit conversion, then confirm final selection against product datasheets, application conditions, safety requirements, and Bepto Pneumatic technical support.
The tool archive includes 94 calculators and converters across cylinder sizing, valves and flow, compressed air, vacuum and gripping, unit conversion, and procurement cost.