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BTA Drilling Thrust Force Calculation Guide for Deep Hole Drilling

Thrust force in BTA drilling is not a theoretical number — it determines whether the machine's feed axis can drill the hole, whether the workpiece will deflect, and whether the fixture can hold the part. Every BTA drilling setup should include a thrust force calculation to verify machine and fixture adequacy.

Thrust Force Components

Force Breakdown

ComponentDescriptionTypical % of Total ThrustVariable Factors
Cutting edge thrustForce required to shear material at each cutting edge50–60%Feed rate, material hardness, edge sharpness
Guide pad frictionFriction between guide pads and hole wall20–30%Coolant lubrication, pad material, hole diameter
Chip breaking forceForce to break and deform chips10–15%Chip breaker geometry, material ductility
Coolant pressure forceForce from coolant pressure acting on drill head cross-section5–10%Coolant pressure, drill head diameter
Bushing frictionFriction at the drill bushing (if drill passes through)0–5%Bushing condition, lubrication

Total Thrust Formula

FormulaDescription
F_total = F_cutting + F_pads + F_chip + F_coolant + F_bushingSum of all thrust components (N)
F_cutting = kc × A × C_edgeSpecific cutting force × chip area × edge factor
F_pads = µ × F_normal_pad × N_padsCoefficient of friction × normal force per pad × number of pads
F_coolant = P × A_headCoolant pressure × drill head projected area

Thrust Calculation Method

Data Required

ParameterSymbolUnitSourceExample Value
Hole diameterDmmDrawing50 mm
Feed ratefmm/revProcess sheet0.040 mm/rev
Specific cutting forcekcN/mm²Material data (see table)2,500 N/mm² (steel 4140 Q&T)
Material hardnessHRC or HBMaterial specification30 HRC
Number of cutting edgeszDrill head design3
Coolant pressurePbarProcess sheet80 bar
Drill head diameterD_headmmDrill head spec49.8 mm

Specific Cutting Force Table (kc1 for f = 1 mm/rev)

MaterialHardnesskc1 (N/mm²)mc (slope)kc at 0.04 mm/rev (N/mm²)
Low carbon steel (1018)150 HB1,8000.253,550
Medium carbon steel (1045)200 HB2,1000.264,200
Alloy steel (4140 Q&T)300 HB2,5000.275,100
Tool steel (H13)350 HB2,8000.285,700
Stainless steel (304)180 HB2,4000.305,200
Cast iron (G25)200 HB1,1000.201,950
Aluminum (6061-T6)100 HB7000.221,300

Calculation Steps

StepCalculationExample (50 mm hole, 4140 steel, 0.040 mm/rev)
1Calculate chip area per edge: A = (D/2) × f / zA = (50/2) × 0.040 / 3 = 0.333 mm²
2Calculate specific cutting force: kc = kc1 × f^(-mc)kc = 2,500 × 0.040^(-0.27) = 2,500 × 2.15 = 5,375 N/mm²
3Calculate cutting force: F_cutting = kc × A × zF_cutting = 5,375 × 0.333 × 3 = 5,370 N
4Estimate pad friction: F_pads ≈ 0.25 × F_cuttingF_pads ≈ 0.25 × 5,370 = 1,340 N
5Calculate coolant force: F_coolant = P × π × D²/4F_coolant = 80 × 10^5 × π × (0.0498)²/4 = 15,600 N
6Total thrust: F_total = F_cutting + F_pads + F_coolantF_total = 5,370 + 1,340 + 15,600 = 22,310 N ≈ 2,270 kgf

Important: Coolant pressure thrust is often the largest component. It acts against the drill head and must be overcome by the feed axis. Do not overlook this component.

Typical Thrust Values

Estimated Thrust by Diameter

Hole Diameter (mm)Feed (mm/rev)Coolant Pressure (bar)Steel (4140) Thrust (kN)Cast Iron Thrust (kN)Aluminum Thrust (kN)
200.0251006.53.02.5
300.0309011.05.04.0
400.0358517.07.56.0
500.0408022.510.08.0
600.0457529.013.010.5
800.0507045.020.016.0
1000.0556562.028.022.0

Machine Feed Axis Capacity Check

CheckRequirementVerification
Machine rated thrust> 1.5 × calculated total thrustMachine specification sheet
Servo motor torque at feed rateAvailable torque > required thrust × lead / (2π × efficiency)Torque-speed curve
Ball screw capacityDynamic load rating > 3 × calculated thrustBall screw specification
Fixture clamp forceTotal clamp force > 2 × calculated thrustFixture design
Steady rest capacityEach rest load rating > thrust / number of restsSteady rest specification

Factors That Increase Thrust

Thrust Increasing Factors

FactorEffect on ThrustHow to Mitigate
Dull drillIncreases 30–100%Change drill at planned interval
High feed rateProportional increaseOptimize feed for material and diameter
Hard materialHigher specific cutting forceReduce feed, use coated tools
Worn guide padsIncreases pad frictionReplace or recondition pads
Low coolant pressureNo direct thrust increase — but reduces chip evacuationMaintain operating pressure
Coolant with poor lubricityHigher pad frictionMaintain coolant concentration and quality
Chip packingCan double thrust suddenlyImprove chip breaking, increase coolant pressure
Misaligned bushingIncreases bushing frictionAlign bushing with spindle axis

Thrust Monitoring

Monitoring MethodWhat It DetectsHow to Implement
Feed axis load displayGradual thrust increase = tool wearRecord feed load at consistent depth
Spindle power monitoringIndirect — correlates with thrustMore sensitive to tool condition than thrust
Feed axis torque monitoringDirect thrust indicationMost common — built into servo drive
Dynamometer (research)Exact thrust measurementTest lab only — not production

Machine Implications

Machine Requirements

Machine ParameterWhy It MattersMinimum Requirement
Feed axis thrust capacityMust exceed total drilling thrust1.5× calculated maximum thrust
Guideway rigidityThrust forces must not deflect the axisLinear guide size and preload
Ball screw diameterThrust load affects screw lifeDynamic rating > 3× thrust
Fixture and clamp designMust hold workpiece against thrustClamp force > 2× thrust
Steady rest capacityMust support thrust without deflectionRest rating > thrust
Bushing holder rigidityMust not deflect under drill entry forcesRigid mounting, bracket thickness

Fixture Design Considerations

RequirementThrust Force (kN)Minimum Clamp Force (kN)Recommended Clamp Type
20 mm hole in steel6.5 kN> 13 kNHydraulic or mechanical
50 mm hole in steel22.5 kN> 45 kNHydraulic — multiple clamps
100 mm hole in steel62 kN> 124 kNHydraulic — heavy-duty

FAQ

What is thrust force in BTA drilling?

Thrust force is the total axial force required to push the BTA drill head through the workpiece. It includes: the cutting force at the cutting edges, friction from the guide pads rubbing against the hole wall, force to break and deform chips, the force of coolant pressure acting on the drill head cross-section, and friction at the bushing. The coolant pressure component is often the largest.

How do I calculate thrust force for BTA drilling?

Use the formula: F_total = F_cutting + F_pads + F_coolant. Calculate F_cutting = kc × A × z (specific cutting force × chip area per edge × number of edges). Calculate F_coolant = P × A_head (coolant pressure × drill head area). Estimate F_pads ≈ 0.25 × F_cutting. Sum all components. For a 50 mm hole in 4140 steel at 0.040 mm/rev feed and 80 bar coolant pressure, total thrust is approximately 22 kN (2,200 kgf).

How does coolant pressure affect thrust force?

Coolant pressure acts on the projected area of the drill head (π × D²/4). At 80 bar on a 50 mm diameter drill head, the coolant force alone is about 15.6 kN — often the largest single component of total thrust. This force pushes the drill head backward against the feed axis. The machine feed axis must overcome this force before any cutting occurs. Higher coolant pressure increases thrust proportionally.

What happens if thrust force exceeds machine capacity?

If thrust exceeds the machine feed axis capacity: the axis may stall (following error alarm, machine stops), the ball screw life is dramatically reduced (premature fatigue failure), the workpiece may be pushed out of the fixture (safety hazard), the drill tube may buckle (especially in deep holes with small diameters and chip packing), or the guideways may be overloaded (accelerated wear). Always verify machine thrust capacity before selecting parameters.

How do I reduce thrust force in BTA drilling?

To reduce thrust: reduce feed rate (direct proportional reduction in cutting force), improve drill sharpness (sharper edges reduce cutting force by 30–50%), use coolant with better lubricity (reduces guide pad friction), ensure proper coolant concentration (affects lubricity), verify coolant pressure is at target (not higher than needed), and check guide pad condition (worn pads increase friction).


Thrust force calculation is an essential engineering check before setting up any BTA drilling operation. The coolant pressure thrust component is often the largest and most commonly overlooked. Verify that the machine feed axis, ball screw, fixture, and steady rests are all rated for the calculated thrust before drilling the first hole. This article reflects industry practice as of 2026.

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