1. 3

2. 4 3. 5 4. 6 5. 97 6. Main Product ItemsTSF Type (No preload) TFP Type (Integrally Preloaded ) TFN Type TFF Type(Tube Type, Flange, Single-nut) (Tube Type, Flange, Single-nut)(Tube Type, Flange, Double-nut)(Tube Type, Flange-to-Flange, Double-nut)DSF Type (No preload) DFP Type (Integrally Preloaded)DFN Type DFF Type(Deflector Type, Flange, Single-nut)(Deflector Type, Flange, Single-nut) (Deflector Type, Flange, Double-nut) (Deflector Type, Flange-to-Flange, Double-nut)LTF Type (No preload) LTP Type (Preloaded with Oversize Balls) YEF Type (Preloaded with Oversize Balls) LEF Type (No Preroad)(Tube Type, Flange, Single-nut) (Tube Type, Flange, Single-nut)(Endcap Type, Flange, Single-nut)(Endcap Type, Flange, Single-nut)TBSF Type TNSF TypeTMS Type TRS Type(Tube Built-in Flange nut)(Outer Diameter small Flange nut)(Triangle Screw Type nut)(Square Shape nut)8 7. Equipment System High-tech equipment system of TIC produces the best ball screw with high technical skillsQuality SystemTorque Measuring instrumentShaft Laser Measuring InstrumentShaft proportional Measuring instrumentNUT Form Measuring InstrumentMainProduction EquipmentIn order to keep the whole temperature and humidityconstantly in the main production line, 4 thermo-hygrostats are automatically operated, thereforethe production of the goods with high precision isavailable minimizing the error due to difference oftemperature and humidity such as bending underthe process, change of length, etc.. Shaft Cylindrical Grinding Machine (Kondo)Shaft Thread External Grinding Machine (Mitsuisiki)NUT Thread Internal Grinding Machine (Matrix)9 8. Equipment System Quality Assurance Facilities Ball screw total tester This tester helps to solve the precision and noise problems which happen to ball screws and analyze the problems through computers to find out the causes of defects. It is an important piece of testing equipment which TIC has developed on its own. This is a device to secure customers reliability by improving feeding accuracy of NC machine tools measuring the rigidity of ball screws in axial direction and conducting optimum design to minimize displacement by cutting forces.How to read the measured data rigidity testerUpper limitBase lineActual valueAverage-RangeLower limit Rigidity displacement sensor10 9. Introducing new Ball ScrewHigh-speed Low-Noise Ball Screws (YEF Type)Contribution to comfortable environmentFirst step toward production of low-noise machines and equipmentFeatures- Low noise and good sound quality achievedimproved ball circulation structure (Structure to reduce ball impulsive sound)- Noise reduction achieved by change of material (Adoption of material with low impulsive sound)- Higher precision of ball track shape (Improvement in track shape and surface roughress) - Written in Page 113 -Construction Performance Noise comparison between conventional and new productsShaft diameterLeadSteel diameterLubricantsNo. of windingNoise Assessment distance screw and ballbetween microphone Noise reduction effectiveness increasesCirculation in tangential directions as the speed increases Comparison ProductsNew ProductsRotation speed of shaftCirculation in lead angle directions 11 10. Introducing new Ball ScrewHigh speed ball screw with cagedLow noise, Low torque frictionLong-term, maintenace free operationFeatures - Low noise and anacceptable running sound - The use of ball cage reducing the fluctuation in dyramic torque, thus to achieve smooth motion - Grease pockets to be achieving long-term mainte nance-free operation ConstructionCirculation in tangential directions Circulation in lead angle directionsCirculation in tangential directions Circulation in lead angle directions PerformancePreload torque Preload torqueConventionalproducts Standard productsNew productsPreload torque Features 1. Noise reduction effectivenessincreases as the speed increases.2. About 6 dB less than the conventional tube. (3,500 RPM) Retainer applied products comparative circulation of friction torque noise test data12 11. Introducing new Ball Screw High-speed Precision Ball with Air Cooling sustemActions against thermal displacement by frictionLow friction/low heat dissipation structureFeatures Cooling data- Built-in shaft/unit air cooling mechanis mand Test Conditionshigh-precision feed with minimal environmental impact- Low noise and good sound quality achieved improvedT.P. Model no.T.P. Model no.ball circulation structure (Structure to reduce ball impulsive sound) Shaft diameterShaft diameter- Higher precision of ball track shapeLead (Improvement in track shape and surface roughness) Lead- Maximum feed speed : 60mm/min Number of coilswindingsNumber of coilswindingsMax-speedMax-speedMax-accelerationMax-accelerationWeight of moving partWeight of moving partTemperature increase data (Measuring position : nut) General products General products Air cooling products Air cooling products Coil and air Coil and air filled products filled productsTimeTimeConstructionAir cooling structure13 12. TIC Precision Ball Screws :Types, Series, and ConstructionTable 1.1 TIC Precision Ball Sc rews : Types, Series, and Construction SeriesConstruction 1. T SeriesA tube is provided in the nut. Steel balls, rolling in the grooves between the shaft and nut, (Tube type : externalenter the tube and roll down. They then return to the groove between the shaft and nut. ball circulation)This series fits the widest variety of applications among the series, and is suitable forstandard manufacture.The nut outer diameter is determined such that the components through which ballscirculate (tube and holder) cannot move beyond the nut circumference.The nut outer diameter which is smaller then tube and holder position is also availableon request. Deflectors are provided inside the nut. Steel balls, rolling 2. D SeriesDeflectors are provided inside the nut. Steel balls, rolling in the grooves between the shaft (Deflector type : internal and nut, move along the grooves of deflector.They then return to the groove between the shaft and nut, passing through the shaft ball circulation)groove rand. Since steel balls circulate inside the nut, the nut outer diametercan be small. The deflectors are placed at equally spaced on the nut outsidesurface, so the nut can retain good balance. 3. L SeriesThe L series is characterized by a large lead. Precise nut positioning is possible at highspeed. They can be classified into the tube type and end cap type, according to the (Tube type)steel ball circulation system. 4. E SeriesIt is characterized by high speeds and clean and clear sounds through smooth rotation (Endcap type)by making the rotation direction of the steel ball consistent with the lead angle.It is also possible to make the same rigidity of products with the internal circulation typeand compact structure, which is 30% more compact than conventional products. 5. R SeriesR series represent form rolling ball screw and the type use a tube type.Tube inserting method can be divided into 4 kinds including a dumping type where (Rolling Ball Screw) insert completely into nut outer diameter and a projecting type where project to outside14 13. TIC Precision Ball Screws :Types, Series, and Construction TypePageTFN Type(Flange, Double-nut)TSF Type(No preload, Flange, Single-nut)TFP Type(Preload, Flange, Single-nut)TFF Type(Flange-to-flange, Double-nut)TNN Type(No flange, Double-nut)TSN Type(No preload, Single-nut)TPN Type(Preload, Single-nut)YTF Type(Preloaded with Oversize Balls)DFN Type(Flange, Double-nut)DSF Type(No preload, Flange, Single-nut)DFP Type(Preload, Flange, Single-nut)DFF Type(Flange-to-flange, Double-nut)DNN Type(No flange, Double-nut)DSN Type(No preload, Single-nut)DPN Type(Preload, Single-nut)YDF Type(Preloaded with oversize balls)LTF Type(Tube type, No preload, Flange)LTP Type(Tube type, Preload, Flange)YEF Type(Preloaded with Oversize Balls)H-ESH Type(No preload)TBSF Type(Tube Built-in Flange Nut)TNSF Type(Outer Diameter Small Flange Nut)TMS Type(Triangle Screw Type Nut)TRS Type(Square Shape Nut)15 14. TIC Precision Ball Screw FeaturesHigh transfer efficency. *Ball screws, unlike slide screws, produce extremelylow friction. They achieve high transfer efficiency,while maintaining running torque at one-third that ofslide screws. Great thrust load can be obtained atsmall torque.Figs. 2.1 and 2.2 show ball screw transfer efficiency.Ball screws convert rotary motion into linear motionin normal use, but can also be used to convertlinear motion into rotary motion(reverse action).Fine travel capabilities. * 1The rolling contract of ball screws contributes 1 =extremely low starting friction. They do not produce 2 1any stick slip, to which slide screws are liable. Where,Ball screws can be controlled precisely is a finetravel. 1: Input torque1: Output thrust : Lead, mm 1 : Efficiency in normal actionHigh rigidity with preload.High rigidity can be achieved by using a preloadwith two nuts, or by using a preload with oversize Fig. 2.1 Mechanical Efficiency of Precision Ballballs in single nut, which eliminates axial clearance. Screws(Normal Action)Long service life.*Steel balls roll on heat-treated or hardened groovesis extremely low, and high precision can bemaintained over a long period of time.Service life can be estimated by calculation.Easy maintenance.*Unlike slide screws, ball screws do not requirefrequent lubrication. Under normal operatingconditions, they operate satisfactorily with anoccasional supply of grease or lubrication oil.High reliability * The relationship between input and output can beTIC precision ball Screws are highly reliable, expressed by equation 2.2 below.produced at plants where temperature is strictly 2 2controlled. They are controlled under an integrated 2 = 2quality control system, which governs material,production equipment, production and inspection. Where,2 : Input torque2: Output thrust : Lead, mm2 : Efficiency in active action The relationship between input and output can beFig. 2.2 Mechanical Efficiency of Precision Ball expressed by equation 2.1 below.Screws(Reverse Action)16 15. TIC Precision Ball Screw SpecificationsLead tolerances *TIC precision ball screw tolerances (class 5 and above) are established according to Japanese Industrial Standards(JIS).The lead tolerances are defined in Fig. 3.1. Fig. 3.1 Definition of Cumulative Lead Error TermsLead Precision Terms *1) Basic lead.6) Variation The lead used as basic.The width of the cumulative actual lead variation. It is It is normally the same as the nominal lead. However,obtained by drawing two lines, one of which runs on a modified value may intentionally be used depending the peak of the variation on the upper side of the on the purpose.cumulative actual lead curve, and the other, on thelower side of the curve. The two lines should be2) Cumulative basic lead(Cumulative lead target value). parallel to the representative lead line.The value obtained by deducting the cumulative lead: Maximum width for the entire effective threadedof the effective threaded portion length from the basicportion length.lead(Cumulative nominal lead).3 00 : Maximum width for a 300-mm range optionallyTo make relevant compensation in case of shaft elastic designated in the effective threaded portiondeformation due to external loads or in case oflength.deformation due to temperature variation, ball screws2 : Maximum width of difference between an actuallymay be produced to a cumulative basic lead that maymeasured axial lead and the basic lead for aneither be larger or smaller than the basic lead. optionally designated rotation angle. The angle should be designated not to exceed3) Cumulative actual lead. one entire turn of the shaft.The cumulative lead is obtained by measuring at anoptionally selected cross section which includes theRefernce *shaft axis. The cumulative lead error for general-purpose ball4) Cumulative representative lead.screws C7 and C10 is determined solely depending ontolerances for a 300mm range optionally designatedA straight line that represents the tendency ofwithin the effective threaded portion length.cumulative leads.This is obtained by approximating the cumulativeactual lead curve by the method of least square or by ClassCumulative Lead Error,similar approximation method.5) Cumulative representative lead error.The value obtained by deducting the cumulative basiclead from the cumulative representative lead. 17 16. TIC Precision Ball Screw Specifications Table3.1 Cumulative Cumulative Representateiv Lead Errors and Allowable Variation ValuesUnit : Effective Threaded Tolerance Class Portion Length Cumulative Cumulative Cumulative Cumulative CumulativeO v e rInclrepresentative Variation representative Variation representative Variation representative Variation representative Variation lead error lead error lead error lead error lead error Table3.2 Tolearnces of Variation for 300mm in the Eefcftiev Threaded Portion Length ( ) and Variation for 2 rad ( )Unit : Tolerance Class Item Axial Clearance * Table 3.3 Available Combination of Axial Clearance Size and Thread ToleranceUnit :Axial Clearance Tolerance Classpreloaded Up toUp to Up toUp to- -- -- - ---18 17. TIC Precision Ball Screw SpecificationsRegular combinations of shaft outer Material and heat treatment *diameter and lead * The hardness of groove surfaces is critical for ballTable 3.4 shows regular combinations of the shaft screw service life. TIC uses materials and heatouter diameter and lead. For products of othertreatments listed in Table 3.5 below to achievespecifications, please consult TIC. appropriate hardness.Table 3.4 Standard Combinations of Shaft Outer Diameter and Lead Table 3.5 Precision Ball Screw Materials and HeatUnit :TreatmentsShaft OuterDiameterLeadShaftNutFor use in special environments, e.g., in a corrosiveenvironment or in a vacuum, ball screws made fromspecial material, such as stainlesssteel(e.g.SUS440C), are also available on request.Please consult TIC.P roducible range in overall shaft length*Fig. 3.2 shows the producible range of precision ballscrews in terms of overall shaft length. For thoseexceeding the shown ranges or extra small ballscrews, please consult TIC. Fig. 3.2 Producible Range in Overall Shaft Length19 18. TIC Precision Ball Screw Specifications3.5. The balls are in contact with the grooves Preload engineering and preload torque * between the nut and shaft at four points, whenpreload the ball screw. This method is Ball screws normally have a slight clearance called preload with oversize balls. between steel balls and groove surfaces. If no clearance is provided, backlash occurs due to elastic displacement caused by axial loads. To prevent this, ball screws are preloaded, i.e., axial loads are applied, giving elastic displacement to steel balls and groove surfaces and eliminating axial clearance, while enhancing rigidity. 1) Preloading systems(a) Spacer preloading system A spacer isFig. 3.5 Preload With Oversize Ballsprovided between two nuts, when preloadingthe ball screw. There are two methods in this In the second method, nut is grinded by shiftingsystem .the screw lead at middle point, as shown inOne is to provide a thick spacer between twoFig. 3.6 to produce an appropriate preload.nuts to apply an appropriate size of preload to This is called integral preload .the ball screw(Fig. 3.3). This method is calledtensile preload. Fig. 3.6 Integral Preload Fig. 3.3 Tensile Preload. The other is to provide a thin spacer between(c) Constant preloading system two nuts to apply an appropriate size of preload to the ball screw(Fig. 3.4). This method is called This system uses two nuts, between compression preload. which a spring is provided, to give aspecified size of preload to the ballscrew. This system can keep torquevariation low. Fig. 3.4 Compression Preload(b) Single-nut preloading system This method uses a single nut to preload the Fig. 3.7 Constant Preload ball screw. There are two methods. One method uses steel balls which are slightly larger than the ball grooves, as shown in Fig.20 19. TIC Precision Ball Screw Specifications2) Effects of preload The relationship between ball screw axial load and elastic displacement can be expressed as ( : constant), according to Hertz s theory. Supposing that preload P is working on both nuts A and B as in Fig.3.8, axial displacementp occurs on both, as shown in Fig.3.6. If axial load Pa is exerted externally under these conditions, nut A axial displacement occurs. It can be expressed as follows:Fig.3.8 Loads on Preloaded Ball ScrewsA p a Nut B axial displacement is expressed as follows:B p a Therefore, the loads working on the respective nuts can be expressed as follows:A p a aB p a If axial load Pa enlarges and external axial displacement on nut B( ) becomes zeroB eventually ( ), A equalsa b. p Therefore, the following equations are established:p p and p b ( )bpb p pFig. 3.9 Relationship between Nut Based on these equations,b can be expressed as follows: These equations show that, when an axial load is approximately three times as large as the preload(load), axial displacement is p. This means that, compared with when no preload is given, the ball screw is twice as rigid. A preload is effective when the external axial load is approximately three times as large as the preload or less. It is recommended, therefore, to apply a preload that is approximately one-third the maximum axial load. Fig.3.10 shows two curves of nut axial displacement, one without a preload, the otherFig. 3.10 Difference in Nut Axial Displacement with a preload. between with a Preload and without a Preload21 20. TIC Precision Ball Screw Specifications3) Preloading torque values measured by reciprocating the nut on the effective threaded portion.Preloaded ball screws are exposed to dynamic It can be larger or smaller than thetorque. Terminology related to the torque, a average actual torque.torque calculation equation, and an allowabletorque variation range are given below.Actual torque variation ratio:The ratio of actual torque variations to(a) Preloading torque terminologyaverage actual torque.Preloading dynamic torque: An amount of dynamic torque which is (b) Reference torque ( p ) calculation equation required to rotate the shaft or the nutsReference torque p on a preloaded ball continuously when the ball screw is given screw can be calculated with equation 3.1 a specified. given below:Reference torque: A target amount of preloading dynamic torque.p pTorque variations: Variations in the target preloading dynamic torque. They can be larger or smaller than Where, the reference torque. p : Reference torque,Torque variation ratio: p : Preload, The ratio of torque variations to reference torque.Actual torque: : Lead, Preloading dynamic torque measured on : Lead angle, degrees an actual ball screw.Average actual torque:p The average of the maximum and minimum actual torque values measured by reciprocating the nut on the effective p : Steel ball pitch circle diameter, threaded portion.Average actual torque variations: (c) Torque variation ratio tolerances(Refer to Table 3.6.) The maximum and minimum actual torqueTable 3.6 Torque Variation Ratio TolerancesUnit : Effective Threaded Portion LengthReference Up to 4,000 Up to 4,000 Over 10,000 TorqueRelation of(screw length / screwRelation of(screw length / screw - ()O.D.): 40 or Less O.D.): 60 or Less Tolerances ClassTolerances Class Tolerances ClassOver Le s s ( R e m a r k s ) 1) Relation of screw length / screw O.D. refers to the value obtained by dividing the threaded portion length bythe shaft nominal outer diameter. 2) Those of reference torque 0.2 or less are controlled based on other TIC standards .22 21. TIC Precision Ball Screw SpecificationsP recision of ball screw fittings *Fig. 3.11 shows what items should be checked (4) Perpendicularity of the nut reference end face or flangeregarding the precision of ball screw fittings. Each installation face to the shaft axis.item is outlined below:(5) Concentricity of the nut outside surface(cylindrical) to the shaft axis.(1) Redial deviation of the shaft supporting part (6) Parallelism of the nut fitting surface(installation plane) tocylindrical surface to the axis of the threaded the shaft axis.portion. (7) Total radial deviation of the shaft axis.(2) Concentricity of the ball screw fitting to the shaft These precision control items are as specified in JIS Bsupporting part axis. 1191 and B 1192. Some tolerances at TIC are stricter JIS.(3) Perpendicularity of the bearing installation face tothe shaft supporting part axis. Fig. 3.11 Precision of Ball Screw FittingsDefinition of product NO *TIC Precision ball screws are identified by a numbering system as show below. Each number or letter represents amajor specification. No. of circuit (No. of turns X No. of row) Overall shaft length () Precision class Thread length ( ) Thread direction (No letter: Right-handed/ L: Left-handed) Lead ( ) Shaft diameter ( ) Nut type code (Refer to Page 7)23 22. Selection of Precision Ball Screws Allowable axial load * Select a ball screw of an appropriate shaft diameter r : Shaft root diameter, which will not be buckled axially under the maximum : Distance between effective load centers, compression load.: Factors to be used according to the ball screw An allowable axial load on the shaft can be obtained Supported - Supported =1 by equation 4.1 given below. Fixed - Supported =2Fixed - Fixed =42( ) 2Fixed - Free=0 . 2 5 Where, Fig. 4.1 is a diagram of allowable axial loads for TIC : Allowable axial load,precision ball screws. Please refer to it in selecting: Safety factor (0.5) the minimum shaft diameter required in terms of axial : Young s modulus (2.06x10 5)load accommodation. : Shaft minimum geometrical moment of inertia, 44r64Fig. 4.1 Allowable Axial Load Diagram24 23. Selection of Precision Ball ScrewsMaximum allowable speed *: Shaft minimum cross-sectional area,1) Critical speed r2 A ball screw rotates while bending by the weight4 of the shaft. When the rotation speed is close to the shaft s: Factors to be used according to the ball screw resonant point, resonance may occur.Supported- Supported Therefore, ball screws need to be used in such aF i x e d -S u p p o r t e d way that its rotation speed does not reach theFixed-Fixed resonance-starting point (critical speed).Fixed-Free The critical speed can be obtained by equation 4.2 below. 2) 60 x 2x 10 9The maximum allowable speed is restricted by steel2ball peripheral speed,as well. Where, 70 ,0 0 0Where,: Critical speed, : Steel ball pitch diameter, : Safety factor (0.8): Young s modulus(2.06x10 5 ): Rotation speed,: Shaft minimum geometrical moment of inertia,Products beyond the above allowable values are4r also available. Please consult TIC for such special64products.Fig. 4.2 is a diagram of allowable rotation speeds forr : Shaft root diameter,TIC precision ball screws. Please refer to it in: Distance between effective load centers,selecting the best shaft diameter for a given set of: Steel density(7.85)rotation speed conditions. Fig. 4.2 Allowable Rotation Speed Diagram 25 24. Selection of Precision Ball Screws Installation methods * Fig. 4.3 shows representative ball screw installation methods. How a ball screw is installed has considerable effect on allowable axial loads, i.e., for buckling prevention, as well as on allowable speed ranges, determined so as not to reach a critical speed. Select an installation method considering these points of view. For special installation method and application under severe operating conditions, consult TIC. Fig. 4.3 Ball Screw Representative Installation Methods26 25. Selection of Precision Ball ScrewsLife *Ball screw life is expressed as a total number of A required ball screw life is determined dependingrotations the screw makes before flaking occurs onon the equipment to which the screws are applied,the groove or steel ball surfaces due to rollingas well as on rotation conditions.fathgue resulting from repeated stresses. Table 4.1 shows average life required for ball screws:In order to obtain the rated life of ball screws, theyare rotated in a group under the same conditions. Table 4.1 Average life Required for Ball ScrewsThe total number of rotations which 90% of ballscrews can make without flaking is called the rated Machine Type Life in Hourslife. The axial load under which the ball screw srated life is 10 6 times of rotation is called the basic Machine tools20,000 hoursdynamic load capacity ( ) . Industrial machines 10,000 hoursThe basic dynamic load capacity values are given in Automatic control equipment 15,000 hoursthe Ball Screw Dimension Tables.Measuring instruments 15,000 hours1) Estimation of life Fig. 4.4 shows the relationship between rotation The rated life is expressed in terms of the totalspeed, life in hours, and the ratio of the basicnumber of rotations, the total rotations hours, and dynamic load capacity to the axial load.(However,the total running distance. They can be the data applies to smooth, impact-free rotation.)calculated by equations 4.3, 4.4 and 4.5. Total number of rotations () x10 36(4 .3 ) Total rotation hours h(4 .4 ) 60 Total running distance s(4 .5 ) 1 06Where, Total number of rotations, Total rotation hours, Total running distance, Basic dynamic load capacity, Axial load, Rotation speed, Lead, : Load factorFor smooth, impact-free rotation :1 . 0 ~1 . 2For rotation under average conditions : 1 . 2 ~ 1 . 5For rotation with impact :1 . 5 ~3 . 0If loads and rotation speed vary, estimate life with anaverage load and average rotation speed. For howto obtain an average load and average rotation Fig. 4.4 Ball Screw Lifespeed, refer to the care of Precision Bearings. (Smooth, Impact-free, Rotation)In case that axial load fluctuates and number ofrevolutions differs under each load, the average axialload and number of revolutions can be calculated bythe following equation for estimation of lifeexpectancy. 27 26. Selection of Precision Ball Screws 2) Allowable load on groovesTo evaluate load conditions under a very low rotationspeed or under a standstill condition, be sure that themaximum axial load is less than the basic static loadcapacity.The basic static load capacity is an axial load atwhich the sum of permanent deformations at thecontact between the shaft and balls and at thecontact between the nut groove and steel balls isone ten thousandth the steel ball diameter that isconfirmed free from problems under a given set ofoperating conditions.The basic static load capacity requirement can becalculated by equation 4.6.Where,Fig. 4.6 Influence of Installation Precision on Life : Basic static load capacity, : Maximum axial load,4) Influence of hardness: Safety factor Operation under average condition : 1 ~ 2 If a ball screw has surface hardness below 58HRC, Operation under impact and vibration : 2 ~ 4being made from special material, ball screw life may be lower. It should be calculated by correcting the 3) Influence of unbalanced loadsstandard dynamic load capacity value( ) and basic static load capacity value( ) . If ball screws are exposed to unbalanced Correct the standard and with equations 4.7 loads(moment loads or radial loads), loads and 4.8. concentrate on a local part of the steel balls. This results in adverse effects on performance and may shorten ball screw life. Control installation precision extremely carefully.Where,: Basic dynamic load capacity hardnessRecommended installation precision control valuefactor(according to data given in Fig. 4.7)Inclination error: 1/2 000 or less: Basic static load capacity hardnessMisalignment: 0.020 mm or lessfactor(according to data given in Fig. 4.7)Fig. 4.5 Unbalanced LoadFig. 4.6 shows estimated life decrease when ballscrews are exposed to moment loads. Fig. 4.7 Hardness Factors28 27. Selection of Precision Ball ScrewsRigidity of whole feed shaft system *To ensure high positioning precision in applicationsto precision machines such as numerically controlledmachine tools, not only rigidity between grooves andsteel balls, but also rigidity of all components of theentire feed shaft system should be evaluated.The rigidity of a feed shaft system can be expressedby equation 4.9. 1234Where,: Rigidity of the entire feed shaft system,Fig. 4.8 Standard Installation1 : Shaft rigidity,2 : Rigidity between grooves and steels balls,3 : Rigidity of support bearing,4 : Rigidity of nut and bearing installation fitting,1) Rigidity of the entire feed shaft system :Where,: Axial load on the feed shaft system,: Axial elastic displacement of the feedshaft system,2) Shaft rigidity :(a) Standard installation(Refer to Fig. 4.8)10 Where, Fig. 4.9 When Both Ends Are Fixed : Minimum cross-sectional area of the shaft, E : Young s modulus(2.06 1 0 5 ) L : Distance between effective load centers,(b) When both ends are fixed(Refer to Fig. 4.9) 10Where,,a nd : Distance between effective load centers, Maximum axial displacement occurs when the following equation is established: In this case, can be expressed as follows: 1029 28. Selection of Precision Ball Screws 3) Rigidity between grooves and steel balls : (a) Rigidity when no preload is applied(when a clearance is provided). () The relationship between axial load and axial elastic displacement can be expressed Where, by equation 4.10 below:: Rigidity value specified in the dimensiontable, {( )}: Axial load,: Basic dynamic load capacity,: Correction factor Where,=0 . 1: Constant determined based on the material, =0.05(preloaded with oversize balls) shape, and dimensions.(2.4~2.6) : Contact angle between grooves and ball4) Rigidity of support bearing : screws, degreesAngular contact ball bearings are often used to : Ball screw diameter, support ball screws.: Axial load, The rigidity of these bearings can be calculated : Number of steel balls that are exposed toby equation 4.16 below. axial loads Theoretical rigidity valueis obtained based on elastic displacement between grooves and steel balls under an axial load which is equivalent to 30%Where, of basic dynamic load capacity . : Preload on support bearing, The value is as shown in the Dimension Tables. In : Axial elastic displacement to the preload, normal applications, assume rigidity to be 80% of thevalue to be safe. Rigidity valueunder conditions where axial load { ()} is different from three-tenths of can be calculated : Contact angle, degrees by equation 4.11.: Steel ball diameter, : Number of steel balls ( ) Where,5 ) Rigidity of nut and bearing installation fitting : : Rigidity value specified in the dimension table, The rigidity of nut and bearing installation fitting : Axial load,should be examined thoroughly when designing : Basic dynamic load capacity, to ensure high rigidity. (b) Rigidity when a preload is applied Theoretical rigidity value is obtained based on elastic displacement between grooves and steel balls under a preload which is equivalent to 10%(or 5% for single-nut screws preloaded with oversize balls) of basic dynamic load capacity . The value is as shown in the dimension table. In normal applications, assume rigidity to be 80% of the value to be safe.Rigidity valueunder conditions where axialload is different from one-tenth(or onetwentieth) ofcan be calculated by equation4 .1 2 .30 29. Selection of Precision Ball ScrewsDriving torque*1) Ball screw torque 2) Motor driving torqueBall screw torque can be calculated based onTorque required to drive a mechanical system inoperating conditions and an applied preload.counteraction to external loads can be calculatedas follows:(a) Normal actionTorque produced when a ball screw converts(a) Driving torque at constant speedrotary motion into linear motion can becalculated by equation 4.15. 1 x 1 0 -3 1 (1 B )1Where,Where, 1 : Driving torque at constant speed,: Normal action torque, 1: +9 . 8x: Axial load,1 : Axial component on the shaft, such as: Lead,cutting power,1 : Normal action factor (0.9~0.95): Movable component mass, : Sliding face friction coefficient(b) Reverse action B : Support bearing dynamic torque,Torque produced when a ball screw convertslinear motion into rotary motion can be(b) Driving torque during accelerationcalculated by equation 4.16.2 12 2x 1 0 -3Where,M s ( ): Reverse action torque, 1: Axial load, Where,: Lead, : Maximum driving torque during acceleration, 2 : Reverse action factor (0.7~0.85): Motor angular acceleration, : Motor inertial moment,(c) When a preload is applied : Shaft inertial moment,Dynamic torque produced by a preload can : Gravitational acceleration()be calculated by equation 4.17.Dx 1 0 -3Where, D : Preloaded nut dynamic torque, : Preload,: Lead,: Preload torque factor( 0 . 2 ) Fig. 4.10 Motor Driving Torque31 30. Ball ScrewT SeriesP recision Ball Screws T Series (Tube Ty pe ) The T series fits the widest variety of applications among all the whole series. They are suitable for standard manufacture. 1) TF Type (Tube Type, Flange, Single-nut)This type of ball screw has the simplest structure, provided with asingle nut. The flange shape can be selected from between round(A) and notched (B). Select the most suitable depending on thespace and installation position.TSF Type (No preload)This ball screw has a little axial clearance. YTF Type (Preloaded with Oversize Balls) This ball screw is preloaded with balls that are slightly larger than the groove dimension of the shaft and nut. The loading balls and spacer balls are used at a 1-to-1 ratio. This type of ball screw is suitable in applications where lightly preloaded ball screws are required. TFP Type (Integrally Preloaded) This ball screw is preloaded by shifting the screw lead of nut so as to produce an appropriate preload. This is the same system as used in double-nut ball screws, though this ball screw has a single nut. This type of ball screw is suitable in applications where lightly preloaded or medium preloaded ball screws are required. 2) TFN Type (Tube Type, Flange, Double-nut)A spacer to produce an appropriate preload is built between thetwo nuts.This type of ball screw is suitable in applications where medium-preloaded or heavily preloaded ball screws are required. 3) TFF Type (Tube Type, Flange-to-flange, Double-nut)A spacer to produce an appropriate preload is built between thetwo nuts.This type of ball screw is suitable in applications where medium-preloaded or heavily preloaded ball screws are required. For the construction of nuts, please refer to Table 1.1, TIC Precision Ball Screws: Types, Series, and Construction given in the engineering data section. For preload, please refer to Section 3.6, Preload and preload torque which is also included in the engineering data section. 31. Precision Ball Screws Dimension TableTSF Tube Type, Flange, Single-nut Ball Screws (No Preload) 1) Wiper When placing an order, please specify whether or not a wiperT Series should be provided, as nut lengths are different. In the illustration on the far right, the shape of a nut with a wiper is shown above the center line, and that without a wiper is shown below . 2) Rigidity Rigidity values given in the table are calculated based on axial elastic displacement that occurs between grooves and steel balls when the ball screw is under an axial load that is equal to 30% of the basic dynamic load capacity ( ) . 3) Nut flange shape The nut flange shape should be selected form between type A (standard) and type B, depending on the space and installation position. Sh a f tBall Center Shaft Root No. of Basic Load RigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a .Tr a c k sCapacityNut No. Di a . Turn Circuit 36 32. Precision Ball Screws Dimension Table T SeriesUnit : mmNut DimensionsNut No.37 33. Precision Ball Screws Dimension TableTSF Tube Type, Flange, Single-nut Ball Screws (No Preload) 1) Wiper When placing an order, please specify whether or not a wiperT Series should be provided, as nut lengths are different. In the illustration on the far right, the shape of a nut with a wiper is shown above the center line, and that without a wiper is shown below . 2) Rigidity Rigidity values given in the table are calculated based on axial elastic displacement that occurs between grooves and steel balls when the ball screw is under an axial load that is equal to 30% of the basic dynamic load capacity ( ) . 3) Nut flange shape The nut flange shape should be selected form between type A (standard) and type B, depending on the space and installation position. Sh a f t Ball Center Shaft Root No. ofBasic Load RigidityOu t s i d e Le ad Ball Dia.Circular Dia.Di a .Tr a c k s CapacityNut No. Di a .Turn Circuit 38 34. Precision Ball Screws Dimension Table T SeriesUnit : mm Nut DimensionsNut No.39 35. Precision Ball Screws Dimension TableTSF Tube Type, Flange, Single-nut Ball Screws (No Preload) 1) Wiper When placing an order, please specify whether or not a wiperT Series should be provided, as nut lengths are different. In the illustration on the far right, the shape of a nut with a wiper is shown above the center line, and that without a wiper is shown below . 2) Rigidity Rigidity values given in the table are calculated based on axial elastic displacement that occurs between grooves and steel balls when the ball screw is under an axial load that is equal to 30% of the basic dynamic load capacity ( ) . 3) Nut flange shape The nut flange shape should be selected form between type A (standard) and type B, depending on the space and installation position. Sh a f t Ball Center Shaft RootNo. of Basic Load RigidityOu t s i d e Le ad Ball Dia.Circular Dia.Di a . Tr a c k sCapacityNut No. Di a . Turn Circuit 40 36. Precision Ball Screws Dimension Table T SeriesUnit : mmNut DimensionsNut No.41 37. Precision Ball Screws Dimension TableTSF Tube Type, Flange, Single-nut Ball Screws (No Preload) 1) Wiper When placing an order, please specify whether or not a wiperT Series should be provided, as nut lengths are different. In the illustration on the far right, the shape of a nut with a wiper is shown above the center line, and that without a wiper is shown below . 2) Rigidity Rigidity values given in the table are calculated based on axial elastic displacement that occurs between grooves and steel balls when the ball screw is under an axial load that is equal to 30% of the basic dynamic load capacity ( ) . 3) Nut flange shape The nut flange shape should be selected form between type A (standard) and type B, depending on the space and installation position. Sh a f t Ball Center Shaft RootNo. of Basic Load RigidityOu t s i d e Le ad Ball Dia.Circular Dia.Di a . Tr a c k sCapacityNut No. Di a . Turn Circuit 42 38. Precision Ball Screws Dimension Table T SeriesUnit : mm Nut DimensionsNut No.43 39. Precision Ball Screws Dimension TableYTF Tube Type, Flange, Single-nut Ball Screws (Preloaded with Oversize Balls) 1) Wiper When placing an order, please specify whether or not a wiperT Series should be provided, as nut lengths are different. In the illustration on the far right, the shape of a nut with a wiper is shown above the center line, and that without a wiper is shown below. 2) Rigidity Rigidity values given in the table are calculated based on axial elastic displacement that occurs between grooves and steel balls when an axial load is working on the ball screw which is under a preload that is equal to 5% of the basic dynamic load capacity( ) . 3) Nut flange shape The nut flange shape should be selected form between type A (standard) and type B, depending on the space and installation position. 4) Basic load capacity Loading balls and spacer balls are used at a 1-to-1 ratio. The values are different form those of TSF type, which are not preloaded. Sh a f t Ball Center Shaft Root No. of Basic LoadRigidityOu t s i d e Le ad Ball Dia.Circular Dia.Di a .Tr a c k sCapacityNut No. Di a .Turn Circuit 44 40. Precision Ball Screws Dimension Table T SeriesUnit : mm Nut DimensionsNut No.45 41. Precision Ball Screws Dimension TableYTF Tube Type, Flange, Single-nut Ball Screws (Preloaded with Oversize Balls)1) WiperWhen placing an order, please specify whether or not a wiperT Seriesshould be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut with a wiper isshown above the center line, and that without a wiper is shown below.2) RigidityRigidity values given in the table are calculated based on axialelastic displacement that occurs between grooves and steel ballswhen an axial load is working on the ball screw which is under apreload that is equal to 5% of the basic dynamic load capacity( ) .3) Nut flange shapeThe nut flange shape should be selected form between type A(standard) and type B, depending on the space and installation position.4) Basic load capacityLoading balls and spacer balls are used at a 1-to-1 ratio. Thevalues are different form those of TSF type, which are not preloaded.Sh a f t Ball Center Shaft Root No. of Basic LoadRigidity Ou t s i d e Le ad Ball Dia.Circular Dia.Di a .Tr a c k sCapacityNut No.Di a . Turn Circuit 46 42. Precision Ball Screws Dimension Table T SeriesUnit : mmNut DimensionsNut No.47 43. Precision Ball Screws Dimension TableYTF Tube Type, Flange, Single-nut Ball Screws (Preloaded with Oversize Balls) 1) Wiper When placing an order, please specify whether or not a wiperT Series should be provided, as nut lengths are different. In the illustration on the far right, the shape of a nut with a wiper is shown above the center line, and that without a wiper is shown below. 2) Rigidity Rigidity values given in the table are calculated based on axial elastic displacement that occurs between grooves and steel balls when an axial load is working on the ball screw which is under a preload that is equal to 5% of the basic dynamic load capacity( ) . 3) Nut flange shape The nut flange shape should be selected form between type A (standard) and type B, depending on the space and installation position. 4) Basic load capacity Loading balls and spacer balls are used at a 1-to-1 ratio. The values are different form those of TSF type, which are not preloaded. Sh a f t Ball Center Shaft Root No. of Basic LoadRigidityOu t s i d e Le ad Ball Dia.Circular Dia.Di a .Tr a c k sCapacityNut No. Di a .Turn Circuit 48 44. Precision Ball Screws Dimension Table T SeriesUnit : mm Nut DimensionsNut No.49 45. Precision Ball Screws Dimension TableTFP Tube Type, Flange, Single-nut Ball Screws (Integrally Preloaded )1) WiperWhen placing an order, please specify whether or notT Serieswiper should be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut withwiper is shown above the center line, and that withoutwiper is shown below.2) RigidityRigidity values given in the table are calculated based onaxial elastic displacement that occurs between grooves andsteel balls when an axial load is working on the ball screwwhich is under a preload that is equal to 10% of the basicdynamic load capacity( ) .3) Nut flange shapeThe nut flange shape should be selected form betweentype A (standard) and type B, depending on the space andinstallation position.Sh a f t Ball Center Shaft RootNo. of Basic LoadRigidity Ou t s i d e Le ad Ball Dia.Circular Dia.Di a . Tr a c k sCapacityNut No.Di a . Turn Circuit 50 46. Precision Ball Screws Dimension Table T SeriesUnit : mmNut DimensionsNut No.51 47. Precision Ball Screws Dimension TableTFP Tube Type, Flange, Single-nut Ball Screws (Integrally Preloaded )1) WiperWhen placing an order, please specify whether or notT Serieswiper should be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut withwiper is shown above the center line, and that withoutwiper is shown below.2) RigidityRigidity values given in the table are calculated based onaxial elastic displacement that occurs between grooves andsteel balls when an axial load is working on the ball screwwhich is under a preload that is equal to 10% of the basicdynamic load capacity( ) .3) Nut flange shapeThe nut flange shape should be selected form betweentype A (standard) and type B, depending on the space andinstallation position.Sh a f tBall Center Shaft Root No. ofBasic Load Rigidity Ou t s i d e Le ad Ball Dia. Circular Dia.Di a .Tr a c k s CapacityNut No.Di a .Turn Circuit 52 48. Precision Ball Screws Dimension Table T SeriesUnit : mm Nut DimensionsNut No.53 49. Precision Ball Screws Dimension TableTFP Tube Type, Flange, Single-nut Ball Screws (Integrally Preloaded ) 1) Wiper When placing an order, please specify whether or notT Series wiper should be provided, as nut lengths are different. In the illustration on the far right, the shape of a nut with wiper is shown above the center line, and that without wiper is shown below. 2) Rigidity Rigidity values given in the table are calculated based on axial elastic displacement that occurs between grooves and steel balls when an axial load is working on the ball screw which is under a preload that is equal to 10% of the basic dynamic load capacity( ) . 3) Nut flange shape The nut flange shape should be selected form between type A (standard) and type B, depending on the space and installation position. Sh a f t Ball Center Shaft RootNo. of Basic LoadRigidityOu t s i d e Le ad Ball Dia.Circular Dia.Di a . Tr a c k sCapacityNut No. Di a .Turn Circuit 54 50. Precision Ball Screws Dimension Table T SeriesUnit : mm Nut DimensionsNut No.55 51. Precision Ball Screws Dimension TableTFP Tube Type, Flange, Single-nut Ball Screws (Integrally Preloaded )1) WiperWhen placing an order, please specify whether or notT Serieswiper should be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut withwiper is shown above the center line, and that withoutwiper is shown below.2) RigidityRigidity values given in the table are calculated based onaxial elastic displacement that occurs between grooves andsteel balls when an axial load is working on the ball screwwhich is under a preload that is equal to 10% of the basicdynamic load capacity( ) .3) Nut flange shapeThe nut flange shape should be selected form betweentype A (standard) and type B, depending on the space andinstallation position.Sh a f t Ball Center Shaft RootNo. of Basic LoadRigidity Ou t s i d e Le ad Ball Dia.Circular Dia.Di a . Tr a c k sCapacityNut No.Di a . Turn Circuit 56 52. Precision Ball Screws Dimension Table T SeriesUnit : mmNut DimensionsNut No.57 53. Precision Ball Screws Dimension TableTFN Tube Type, Flange, Double-nut Ball Screws 1) WiperWhen placing an order, please specify whether or not a wiperT Seriesshould be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut with a wiper isshown above the center line, and that without a wiper is shown below. 2) RigidityRigidity values given in the table are calculated based on axial elasticdisplacement that occurs between grooves and steel balls when anaxial load is working on the ball screw which is under a preload thatis equal to 10% of the basic dynamic load capacity( ) . 3) Nut flange shapeThe nut flange shape should be selected form between type A(standard) and type B, depending on the space andinstallation position. Sh a f t Ball Center Shaft RootNo. of Basic Load RigidityOu t s i d e Le ad Ball Dia.Circular Dia.Di a . Tr a c k sCapacityNut No. Di a . Turn Circuit 58 54. Precision Ball Screws Dimension Table T SeriesUnit : mm Nut DimensionsNut No.59 55. Precision Ball Screws Dimension TableTFN Tube Type, Flange, Double-nut Ball Screws 1) WiperWhen placing an order, please specify whether or not a wiperT Seriesshould be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut with a wiper isshown above the center line, and that without a wiper is shown below. 2) RigidityRigidity values given in the table are calculated based on axial elasticdisplacement that occurs between grooves and steel balls when anaxial load is working on the ball screw which is under a preload thatis equal to 10% of the basic dynamic load capacity( ) . 3) Nut flange shapeThe nut flange shape should be selected form between type A(standard) and type B, depending on the space andinstallation position. Sh a f t Ball Center Shaft RootNo. of Basic Load RigidityOu t s i d e Le ad Ball Dia.Circular Dia.Di a . Tr a c k sCapacityNut No. Di a . Turn Circuit 60 56. Precision Ball Screws Dimension Table T SeriesUnit : mm Nut DimensionsNut No.61 57. Precision Ball Screws Dimension TableTFN Tube Type, Flange, Double-nut Ball Screws 1) WiperWhen placing an order, please specify whether or not a wiperT Seriesshould be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut with a wiper isshown above the center line, and that without a wiper is shown below. 2) RigidityRigidity values given in the table are calculated based on axial elasticdisplacement that occurs between grooves and steel balls when anaxial load is working on the ball screw which is under a preload thatis equal to 10% of the basic dynamic load capacity( ) . 3) Nut flange shapeThe nut flange shape should be selected form between type A(standard) and type B, depending on the space andinstallation position. Sh a f t Ball Center Shaft Root No. ofBasic Load RigidityOu t s i d e Le ad Ball Dia.Circular Dia.Di a .Tr a c k s CapacityNut No. Di a . Turn Circuit 62 58. Precision Ball Screws Dimension Table T SeriesUnit : mmNut DimensionsNut No.63 59. Precision Ball Screws Dimension TableTFN Tube Type, Flange, Double-nut Ball Screws 1) WiperWhen placing an order, please specify whether or not a wiperT Seriesshould be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut with a wiper isshown above the center line, and that without a wiper is shown below. 2) RigidityRigidity values given in the table are calculated based on axial elasticdisplacement that occurs between grooves and steel balls when anaxial load is working on the ball screw which is under a preload thatis equal to 10% of the basic dynamic load capacity( ) . 3) Nut flange shapeThe nut flange shape should be selected form between type A(standard) and type B, depending on the space andinstallation position. Sh a f t Ball Center Shaft RootNo. of Basic Load RigidityOu t s i d e Le ad Ball Dia.Circular Dia.Di a . Tr a c k sCapacityNut No. Di a .Turn Circuit 64 60. Precision Ball Screws Dimension Table T SeriesUnit : mm Nut DimensionsNut No.65 61. Precision Ball Screws Dimension TableTFN Tube Type, Flange, Double-nut Ball Screws 1) WiperWhen placing an order, please specify whether or not a wiperT Seriesshould be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut with a wiper isshown above the center line, and that without a wiper is shown below. 2) RigidityRigidity values given in the table are calculated based on axial elasticdisplacement that occurs between grooves and steel balls when anaxial load is working on the ball screw which is under a preload thatis equal to 10% of the basic dynamic load capacity( ) . 3) Nut flange shapeThe nut flange shape should be selected form between type A(standard) and type B, depending on the space andinstallation position. Sh a f tBall Center Shaft Root No. of Basic Load RigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a .Tr a c k sCapacityNut No. Di a . Turn Circuit 66 62. Precision Ball Screws Dimension Table T SeriesUnit : mm Nut DimensionsNut No.67 63. Precision Ball Screws Dimension TableTFF Tube Type, Flange-to-flange, Double-nut Ball Screws 1) Wiper When placing an order, please specify whether or not aT Series wiper should be provided, as nut lengths are different. In the illustration on the far right, the shape of a nut with a wiper is shown above the center line, and that without a wiper is shown below. 2) Rigidity Rigidity values given in the table are calculated based on axial elastic displacement that occurs between grooves and steel balls when an axial load is working on the ball screw which is under a preload that is equal to 10% of the basic dynamic load capacity( ) . Sh a f tBall Center Shaft RootNo. of Basic LoadRigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a . Tr a c k sCapacityNut No. Di a .Turn Circuit 68 64. Precision Ball Screws Dimension Table T SeriesUnit : mm Nut DimensionsNut No.69 65. Precision Ball Screws Dimension TableTFF Tube Type, Flange-to-flange, Double-nut Ball Screws 1) Wiper When placing an order, please specify whether or not aT Series wiper should be provided, as nut lengths are different. In the illustration on the far right, the shape of a nut with a wiper is shown above the center line, and that without a wiper is shown below. 2) Rigidity Rigidity values given in the table are calculated based on axial elastic displacement that occurs between grooves and steel balls when an axial load is working on the ball screw which is under a preload that is equal to 10% of the basic dynamic load capacity( ) . Sh a f tBall Center Shaft RootNo. of Basic LoadRigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a . Tr a c k sCapacityNut No. Di a .Turn Circuit 70 66. Precision Ball Screws Dimension Table T SeriesUnit : mmNut DimensionsNut No.71 67. Precision Ball Screws Dimension TableTFF Tube Type, Flange-to-flange, Double-nut Ball Screws 1) WiperT Series When placing an order, please specify whether or not a wiper should be provided, as nut lengths are different. In the illustration on the far right, the shape of a nut with a wiper is shown above the center line, and that without a wiper is shown below. 2) Rigidity Rigidity values given in the table are calculated based on axial elastic displacement that occurs between grooves and steel balls when an axial load is working on the ball screw which is under a preload that is equal to 10% of the basic dynamic load capacity( ) . Sh a f tBall Center Shaft RootNo. of Basic LoadRigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a . Tr a c k sCapacityNut No. Di a .Turn Circuit 72 68. Precision Ball Screws Dimension Table T SeriesUnit : mm Nut DimensionsNut No.73 69. Precision Ball Screws Dimension TableTFF Tube Type, Flange-to-flange, Double-nut Ball Screws 1) WiperT Series When placing an order, please specify whether or not a wiper should be provided, as nut lengths are different. In the illustration on the far right, the shape of a nut with a wiper is shown above the center line, and that without a wiper is shown below. 2) Rigidity Rigidity values given in the table are calculated based on axial elastic displacement that occurs between grooves and steel balls when an axial load is working on the ball screw which is under a preload that is equal to 10% of the basic dynamic load capacity( ) . Sh a f tBall Center Shaft RootNo. of Basic LoadRigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a . Tr a c k sCapacityNut No. Di a .Turn Circuit 74 70. Precision Ball Screws Dimension Table T SeriesUnit : mm Nut DimensionsNut No.75 71. Precision Ball Screws Dimension TableTFF Tube Type, Flange-to-flange, Double-nut Ball Screws 1) WiperT Series When placing an order, please specify whether or not a wiper should be provided, as nut lengths are different. In the illustration on the far right, the shape of a nut with a wiper is shown above the center line, and that without a wiper is shown below. 2) Rigidity Rigidity values given in the table are calculated based on axial elastic displacement that occurs between grooves and steel balls when an axial load is working on the ball screw which is under a preload that is equal to 10% of the basic dynamic load capacity( ) . Sh a f tBall Center Shaft RootNo. of Basic LoadRigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a . Tr a c k sCapacityNut No. Di a .Turn Circuit 76 72. Precision Ball Screws Dimension Table T SeriesUnit : mm Nut DimensionsNut No.77 73. Ball ScrewD Series Precision Ball Screws D Series (Deflector Type) This series has compact nuts, in witch steel balls circulate. 1) DF Type (Deflector Type, Flange, Single-nut)This type of ball screw has the simplest structure, provided with a single nut.The flange shape can be selected from between round (A) and notched (B).Select the most suitable depending on the space and installation position.DSF Type (No Preload) This ball screw has a little axial clearance. DFP Type (Integrally Preloaded) This ball screw is preloaded by shifting the screw lead of nut so as to produce an appropriate preload. This is the same system as used in double-nut ball screw, Though this ball screw has a single nut. This type of ball screw is suitable in applications where lightly preloaded or medium-preloaded ball screws are required. YDF Type (Preloaded with Oversize Balls) This ball screw is preloaded with balls that are slightly larger than the groove dimension of the shaft and nut. The loading balls and spacer balls are used at a 1-to-1 ratio. This type of ball screw is suitable in applications where lightly preloaded ball screws are required. 2) DFN Type (Deflector Type, Flange, Double-nut)A spacer which to produce an appropriate preload is built between the two nut.This type of ball screw is suitable in applications where medium-preloadedor heavily preloaded ball screws are required. 3) DFF Type (Deflector type, Flange-to-flange, Double-nut)A spacer to produce an appropriate preload is built between the two nuts.This type of ball screw is suitable in applications where medium-preloadedor heavily preloaded ball screws are required. For the construction of nuts, please refer to Table 1.1, TIC Precision Ball Screws: Types, Series, and Construction given in the engineering data section. For preload, please refer to Section 3.6, Preload and preload torque which is also included in the engineering data section. 74. Precision Ball Screws Dimension TableDSF Type, Deflector Type, Flange, Single-nut Ball Screws (No Preload) 1) Wiper When placing an order, please specify whether or not aD Series wiper should be provided, as nut lengths are different. In the illustration on the far right, the shape of a nut with a wiper is shown above the center line, and that without a wiper is shown below. 2) RigidityRigidity values given in the table are calculated based onaxial elastic displacement that occurs between grooves andsteel balls when the ball screw is under an axial load that isequal to 30% of the basic dynamic load capacity( ) . 3) Nut flange shapeThe nut flange shape should be selected form between typeA (standard) and type B, depending on the space andinstallation position. Sh a f tBall Center Shaft Root No. ofBasic Load RigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a .Tr a c k s CapacityNut No. Di a . Turn Circuit 80 75. Precision Ball Screws Dimension Table D SeriesUnit : mm Nut DimensionsNut No.81 76. Precision Ball Screws Dimension TableDSF Type, Deflector Type, Flange, Single-nut Ball Screws (No Preload) 1) WiperD Series When placing an order, please specify whether or not a wiper should be provided, as nut lengths are different. In the illustration on the far right, the shape of a nut with a wiper is shown above the center line, and that without a wiper is shown below. 2) RigidityRigidity values given in the table are calculated based onaxial elastic displacement that occurs between grooves andsteel balls when the ball screw is under an axial load that isequal to 30% of the basic dynamic load capacity( ) . 3) Nut flange shapeThe nut flange shape should be selected form between typeA (standard) and type B, depending on the space andinstallation position. Sh a f tBall Center Shaft Root No. ofBasic Load RigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a .Tr a c k s CapacityNut No. Di a . Turn Circuit 82 77. Precision Ball Screws Dimension Table D SeriesUnit : mm Nut DimensionsNut No.83 78. Precision Ball Screws Dimension TableDFP Type, Deflector Type, Flange, Single-nut Ball Screws (Integrally Preloaded) 1) WiperD Series When placing an order, please specify whether or not a wiper should be provided, as nut lengths are different. In the illustration on the far right, the shape of a nut with a wiper is shown above the center line, and that without a wiper is shown below. 2) RigidityRigidity values given in the table are calculated based onaxial elastic displacement that occurs between grooves andsteel balls when an axial load is working on the ball screwwhich is under a preload that is equal to 10% of the basicdynamic load capacity( ) . 3) Nut flange shape The nut flange shape should be selected form between type A (standard) and type B, depending on the space and installation position. Sh a f tBall Center Shaft RootNo. of Basic Load RigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a . Tr a c k sCapacityNut No. Di a . Turn Circuit 84 79. Precision Ball Screws Dimension Table D SeriesUnit : mm Nut DimensionsNut No.85 80. Precision Ball Screws Dimension TableDFP Type, Deflector Type, Flange, Single-nut Ball Screws (Integrally Preloaded) 1) Wiper When placing an order, please specify whether or not aD Series wiper should be provided, as nut lengths are different. In the illustration on the far right, the shape of a nut with a wiper is shown above the center line, and that without a wiper is shown below. 2) RigidityRigidity values given in the table are calculated based onaxial elastic displacement that occurs between grooves andsteel balls when an axial load is working on the ball screwwhich is under a preload that is equal to 10% of the basicdynamic load capacity( ) . 3) Nut flange shape The nut flange shape should be selected form between type A (standard) and type B, depending on the space and installation position. Sh a f tBall Center Shaft RootNo. of Basic Load RigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a . Tr a c k sCapacityNut No. Di a . Turn Circuit 86 81. Precision Ball Screws Dimension Table D SeriesUnit : mm Nut DimensionsNut No.87 82. Precision Ball Screws Dimension TableDFP Type, Deflector Type, Flange, Single-nut Ball Screws (Integrally Preloaded) 1) Wiper When placing an order, please specify whether or not aD Series wiper should be provided, as nut lengths are different. In the illustration on the far right, the shape of a nut with a wiper is shown above the center line, and that without a wiper is shown below. 2) RigidityRigidity values given in the table are calculated based onaxial elastic displacement that occurs between grooves andsteel balls when an axial load is working on the ball screwwhich is under a preload that is equal to 10% of the basicdynamic load capacity( ) . 3) Nut flange shape The nut flange shape should be selected form between type A (standard) and type B, depending on the space and installation position. Sh a f tBall Center Shaft RootNo. of Basic Load RigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a . Tr a c k sCapacityNut No. Di a . Turn Circuit 88 83. Precision Ball Screws Dimension Table D SeriesUnit : mm Nut DimensionsNut No.89 84. Precision Ball Screws Dimension TableDFN Type, Deflector Type, Flange, Double-nut Ball Screws 1) WiperWhen placing an order, please specify whether or not aD Serieswiper should be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut with awiper is shown above the center line, and that without awiper is shown below. 2) RigidityRigidity values given in the table are calculated based onaxial elastic displacement that occurs between grooves andsteel balls when an axial load is working on the ball screwwhich is under a preload that is equal to 10% of the basicdynamic load capacity( ) . 3) Nut flange shapeThe nut flange shape should be selected form between typeA (standard) and type B, depending on the space andinstallation position. Sh a f tBall Center Shaft Root No. of Basic LoadRigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a .Tr a c k sCapacityNut No. Di a .Turn Circuit 90 85. Precision Ball Screws Dimension Table D SeriesUnit : mmNut DimensionsNut No.91 86. Precision Ball Screws Dimension TableDFN Type, Deflector Type, Flange, Double-nut Ball Screws 1) WiperWhen placing an order, please specify whether or not aD Serieswiper should be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut with awiper is shown above the center line, and that without awiper is shown below. 2) RigidityRigidity values given in the table are calculated based onaxial elastic displacement that occurs between grooves andsteel balls when an axial load is working on the ball screwwhich is under a preload that is equal to 10% of the basicdynamic load capacity( ) . 3) Nut flange shapeThe nut flange shape should be selected form between typeA (standard) and type B, depending on the space andinstallation position. Sh a f tBall Center Shaft Root No. of Basic LoadRigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a .Tr a c k sCapacityNut No. Di a .Turn Circuit 92 87. Precision Ball Screws Dimension Table D SeriesUnit : mm Nut DimensionsNut No.93 88. Precision Ball Screws Dimension TableDFN Type, Deflector Type, Flange, Double-nut Ball Screws 1) WiperWhen placing an order, please specify whether or not aD Serieswiper should be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut with awiper is shown above the center line, and that without awiper is shown below. 2) RigidityRigidity values given in the table are calculated based onaxial elastic displacement that occurs between grooves andsteel balls when an axial load is working on the ball screwwhich is under a preload that is equal to 10% of the basicdynamic load capacity( ) . 3) Nut flange shapeThe nut flange shape should be selected form between typeA (standard) and type B, depending on the space andinstallation position. Sh a f tBall Center Shaft Root No. of Basic Load RigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a .Tr a c k sCapacityNut No. Di a .Turn Circuit 94 89. Precision Ball Screws Dimension Table D SeriesUnit : mm Nut DimensionsNut No.95 90. Precision Ball Screws Dimension TableDFN Type, Deflector Type, Flange, Double-nut Ball Screws 1) WiperWhen placing an order, please specify whether or not aD Serieswiper should be provided, as nut lengths are different.In the illustration on the far right, the shape of a nut with awiper is shown above the center line, and that without awiper is shown below. 2) RigidityRigidity values given in the table are calculated based onaxial elastic displacement that occurs between grooves andsteel balls when an axial load is working on the ball screwwhich is under a preload that is equal to 10% of the basicdynamic load capacity( ) . 3) Nut flange shapeThe nut flange shape should be selected form between typeA (standard) and type B, depending on the space andinstallation position. Sh a f tBall Center Shaft Root No. of Basic Load RigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a .Tr a c k sCapacityNut No. Di a .Turn Circuit 96 91. Precision Ball Screws Dimension Table D SeriesUnit : mm Nut DimensionsNut No.97 92. Precision Ball Screws Dimension TableDFF Type, Deflector Type, Flange-to-flange, Double-nut Ball Screws 1) Wiper When placing an order, please specify whetherD Series or not a wiper should be provided, as nut lengths are different. In the illustration on the far right, the shape of a nut with a wiper is shown above the center line, and that without a wiper is shown below. 2) Rigidity Rigidity values given in the table are calculated based on axial elastic displacement that occurs between grooves and steel balls when an axial load is working on the ball screw which is under a preload that is equal to 10% of the basic dynamic load capacity( ) . Sh a f tBall Center Shaft RootNo. of Basic LoadRigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a . Tr a c k sCapacityNut No. Di a .Turn Circuit 98 93. Precision Ball Screws Dimension Table D SeriesUnit : mmNut DimensionsNut No.99 94. Precision Ball Screws Dimension Table DFF Type, Deflector Type, Flange-to-flange, Double-nut Ball Screws1) WiperWhen placing an order, please specify whetherD Seriesor not a wiper should be provided, as nutlengths are different.In the illustration on the far right, the shape of anut with a wiper is shown above the center line,and that without a wiper is shown below.2) RigidityRigidity values given in the table are calculatedbased on axial elastic displacement that occursbetween grooves and steel balls when an axialload is working on the ball screw which is undera preload that is equal to 10% of the basicdynamic load capacity( ) .Sh a f tBall Center Shaft RootNo. of Basic LoadRigidity Ou t s i d e Le ad Ball Dia. Circular Dia.Di a . Tr a c k sCapacity Nut No. Di a . Turn Circuit 100 95. Precision Ball Screws Dimension TableD SeriesUnit : mm Nut DimensionsNut No.101 96. Precision Ball Screws Dimension Table DFF Type, Deflector Type, Flange-to-flange, Double-nut Ball Screws1) WiperWhen placing an order, please specify whetherD Seriesor not a wiper should be provided, as nutlengths are different.In the illustration on the far right, the shape of anut with a wiper is shown above the center line,and that without a wiper is shown below.2) RigidityRigidity values given in the table are calculatedbased on axial elastic displacement that occursbetween grooves and steel balls when an axialload is working on the ball screw which is undera preload that is equal to 10% of the basicdynamic load capacity( ) .Sh a f tBall Center Shaft RootNo. of Basic LoadRigidity Ou t s i d e Le ad Ball Dia. Circular Dia.Di a . Tr a c k sCapacity Nut No. Di a . Turn Circuit 102 97. Precision Ball Screws Dimension TableD SeriesUnit : mmNut DimensionsNut No.103 98. Precision Ball Screws Dimension Table DFF Type, Deflector Type, Flange-to-flange, Double-nut Ball Screws1) WiperWhen placing an order, please specify whetherD Seriesor not a wiper should be provided, as nutlengths are different.In the illustration on the far right, the shape of anut with a wiper is shown above the center line,and that without a wiper is shown below.2) RigidityRigidity values given in the table are calculatedbased on axial elastic displacement that occursbetween grooves and steel balls when an axialload is working on the ball screw which is undera preload that is equal to 10% of the basicdynamic load capacity( ) .Sh a f tBall Center Shaft RootNo. of Basic LoadRigidity Ou t s i d e Le ad Ball Dia. Circular Dia.Di a . Tr a c k sCapacity Nut No. Di a . Turn Circuit 104 99. Precision Ball Screws Dimension TableD SeriesUnit : mm Nut DimensionsNut No.105 100. Ball ScrewL SeriesPrecision Ball Screws L SeriesThe L series is characterized by a large lead.Precise nut positioning is possible at high speed. 1) LTF Type (Tube Type, Flange, Single-nut)LTF Type (No Preload)This ball screw has a little axial clearance.LTP Type (Preloaded with Oversize Balls)This ball screw is preloaded with balls that are slightly larger thanthe groove dimension of the shaft and nut. For the construction of nuts, please refer to Table 1.1, TIC Precision Ball Screws: Types, Series, and Construction given in the engineering data section. For preload, please refer to Section 3.6, Preload and preload torque which is also included in the engineering data section. 101. Precision Ball Screws Dimension TableLTF Tube Type, Flange, Single-nut Ball Screws (No Preload)LTP Tube Type, Flange, Single-nut Ball Screws (Preloaded with Oversize Balls) 1) LTP Type (Preloaded with Oversize Balls) Loading ballsand spacer balls are used at a 2-to-1 ratio.L Series 2) RigidityLTF series rigidity values given in the table are calculatedbased on axial elastic displacement that occurs betweengrooves and steel balls when the ball screw is under anaxial load that is equal to 30% of the basic dynamicload capacity(Ca). LTP series rigidity values given in the table are calculated based on axial elastic displacement that occurs between grooves and steel balls when an axial load is working on the ball screw which is under a preload that is equal to 5% of the basic dynamic load capacity( ) . Sh a f tBall Center Shaft RootNo. ofBasic Load RigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a . Tr a c k s Capacity Nut No.Di a .Turn Circuit 108 102. Precision Ball Screws Dimension TableL SeriesUnit : mm Nut DimensionsNut No.109 103. Precision Ball Screws Dimension TableLTF Tube Type, Flange, Single-nut Ball Screws (No Preload)LTP Tube Type, Flange, Single-nut Ball Screws (Preloaded with Oversize Balls) 1) LTP Type (Preloaded with Oversize Balls) Loading ballsand spacer balls are used at a 2-to-1 ratio.L Series 2) RigidityLTF series rigidity values given in the table are calculatedbased on axial elastic displacement that occurs betweengrooves and steel balls when the ball screw is under anaxial load that is equal to 30% of the basic dynamicload capacity(Ca). LTP series rigidity values given in the table are calculated based on axial elastic displacement that occurs between grooves and steel balls when an axial load is working on the ball screw which is under a preload that is equal to 5% of the basic dynamic load capacity( ) . Sh a f tBall Center Shaft RootNo. ofBasic Load RigidityOu t s i d e Le ad Ball Dia. Circular Dia.Di a . Tr a c k s Capacity Nut No.Di a .Turn Circuit 110 104. Precision Ball Screws Dimension TableL SeriesUnit : mm Nut DimensionsNut No.111 105. Ball ScrewE SeriesLow noise high speed ball screw E series1) YEF model low noise high speed ball screws (Preloaded with Oversize Balls)Insert the steel ball which is slightly bigger than the screw groovebetween the screw axis and the net and apply pre-load. Please contact TIC as various types are available dependingon pre-load methods and mounting structures. 106. Precision Ball Screws Dimension Table YEF model ENDCAP type single flange and nut (Preloaded with Oversize Balls)1) YEF Type (Preloaded with Oversize Balls) Loading balls and spacer balls are used at a 1-to-1 ratio.E Series2) Rigidity YEF series rigidity values given in the table are calculated based on axial elastic displacement that occurs between grooves and steel balls when an axial load is working on the ball screw which is under a preload that is equal to 3% of the basic dynamic load capacity( ) .Sh a f tBall Center Shaft RootNo. ofBasic Load Rigidity Ou t s i d e Le ad Ball Dia. Circular Dia.Di a . Tr a c k s Capacity Nut No. Di a . Turn Circuit 114 107. Precision Ball Screws Dimension Table E SeriesTYPE ATYPE B Unit : mmNut DimensionsNut No. 115 108. Ball ScrewR SeriesPrecision Ball Screws R Series 1) TBSF Type Rolling Ball Screw (Tube Built-in Flange Nut) A tube built-in type is sealed completely with glue (adhesive) in which insert the tube entirely into the nut outer diameter. 2) TNSF Type Rolling Ball Screw (Outer Diameter Small Flange Nut)It applies in case of small size; the tube and the holder are projectedoutside of the nut. 3) TMS Type Rolling Ball Screw (Triangle Screw Type Nut )Triangle screw located in nut outer diameter without flange,use direct assembling method. 4) TRS Type Rolling Ball Screw (Square Shape Nut)Since a square shape nut has a hole to support the screw,it can be supported compactly into body of machine without housing. For the construction of nuts, please refer to Table 1.1, TIC Precision Ball Screws: Types, Series, and Construction given in the engineering data section. For preload, please refer to Section 3.6, Preload and preload torque which is also included in the engineering data section. 109. Precision Ball Screws Dimension Table TBSF Type Rolling Ball Screw (Tube Built-in Flange Nut) A tube built-in type is sealed completely with glue (adhesive)R Series in which insert the tube entirely into the nut outer diameter.Shaft Outside Le a d Ball B.C.D No. of TracksBasic Load CapacityNut No.Di a .Tur n Ci r cui t 118 110. Precision Ball Screws Dimension TableR SeriesUnit : mm Nut Dimensions OI LAX CLE RigidityB OL TNut No.HOLE119 111. Precision Ball Screws Dimension Table TNSF Type Rolling Ball Screw (Outer Diameter Small Flange Nut) It applies in case of small size; the tube and the holder areR Series projected outside of the nut.Shaft Outside Le a d Ball B.C.DNo. of Tracks Basic Load CapacityNut No.Di a .Turn Ci r cui t 120 112. Precision Ball Screws Dimension TableR SeriesUnit : mmAX CLE RigidityNut Dimensions OI L B OL TNut No.HOLE121 113. Precision Ball Screws Dimension Table TMS Type Rolling Ball Screw (Triangle Screw Type Nut ) Triangle screw located in nut outer diameter without flange, use direct assembling method.R SeriesShaft Outside Le a d Ball B.C.DNo. of Tracks Basic Load CapacityNut No.Di a .Tur n Ci r cui t 122 114. Precision Ball Screws Dimension Table R Series Unit : mmAX CLE Rigidity Nut DimensionsNut No. Remarks 123 115. Precision Ball Screws Dimension Table TRS Type Rolling Ball Screw (Square Shape Nut) Since a square shape nut has a hole to support the screw, it can be supported compactly into body ofR Series machine without housing.Shaft Outside Le a d BallB.C.DNo. of Tracks Basic Load CapacityNut No.Di a . Tur n Ci r cui t 124 116. Precision Ball Screws Dimension TableR SeriesUnit : mmAX CLE RigidityNut DimensionsB OL T OI LNut No.HOLE125 117. Precision Ball Screws Dimension TableStandadr ProductStandard Product Ball Screw (Axis Column in theorugh) 1) Lead degree is C5 level. 2) As it is covered with rust preventive oil, thesupply of oil and grease are needed in use. 3) Nut Specification TFN TYPE : Double Flange Nut TSF TYPE : Single Flange Nut TFP TYPE : Single Flange Nut (Preload Type)Basic Load Nut Dimensions Shaft Lead Ball Dia. B ,C ,D No. of CapacityNut No. Outside Dia.Tracks DynamicStatic NutFlangeTurn LoadLoadOutsideDia.Capacity CapacityDia.Circuit 126 118. Precision Ball Screws Dimension Table Standadr ProductUnit : mmFixing Bolt Hole OILShaft DimensionsCumulative Deviation of the Nut FlangeP.C.D HOLE Representative Variation Shaft Axis Concentri PerpendicDimensions Lead Error ularitycity 127 119. Precision Ball Screws Dimension TableStandadr ProductStandard Product Ball Screw (Axis Column in theorugh) 1) Lead degree is C5 level. 2) As it is covered with rust preventive oil, thesupply of oil and grease are needed in use. 3) Nut Specification TFN TYPE : Double Flange Nut TSF TYPE : Single Flange Nut TFP TYPE : Single Flange Nut (Preload Type) Basic Load Nut DimensionsShaft Lead Ball Dia. B ,C ,D No. of Capacity Nut No. Outside Dia.Tracks DynamicStatic NutFlange Turn LoadLoadOutsideDia. Capacity CapacityDia. Circuit 128 120. Precision Ball Screws Dimension Table Standadr ProductUnit : mmFixing Bolt Hole OILShaft DimensionsCumulative Deviation of the Nut FlangeP.C.D HOLE Representative Variation Shaft Axis Concentri PerpendicDimensions Lead Error ularitycity 129 121. Reference Data Appendix1. Permission Value of Axis Value Classification of Tolerance Class of AxisReference Data DiameterOver Below Difference Value of Average inside Diameter within a Plane Surface 132 122. Reference Data Unit : m( Reference) Classification of Axis DiameterNumberReference Data(0 Level)Over Below133 123. Reference DataAppendix 2. Permission Value of Housing Hole Size Classification ofTolerance Class in the HoleReference Data DiameterOver Below Difference Value of Average inside Diameter within a Plane Surface 134 124. Reference Data Unit : m( Reference) Classification of Axis DiameterNumberReference Data(0 Level)Over Below(150 below)(150 over)135 125. Reference Data Appendix 3. Value of Basic Tolerance Tolerance Class (IT) Classification ofReference Data Diameter OverBelowClassification of Basic Value Classification of Basic Value Note 1) IT14~IT18 tolerance class dont apply below 1basic value. 136 126. Reference Data Appendix 3. Hardness Conversion TableRockwellBrinellRockwellVickers ShoreReference DataC ScaleTungstenStandard BallA ScaleB Scale1417N {150 kgf} Carbide Ball