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The following formulas can be used to obtain the deflection and its angle of a linear slide shaft. Some typical conditions are listed in Table G-3. Table G-3 Formulas for Calculating Deflection and Deflection Angle 1 2 3 4 5 6 7 8 9 10 CALCULATION OF DEFLECTION AND DEFLECTION ANGLE support method support - support fixed - fixed support - support fixed - fixed support - support fixed - fixed fixed - fixed fixed - fixed support - support fixed - fixed specification uniformly distributed load uniformly distributed load uniformly distributed load formula for deflection G-4 formula for deflection angle 1:deflection when load is applied(mm)max:maximum deflection(mm)i 1:deflection angle when load is applied(rad)i 2:deflection angle at the support(rad)Mo:moment(Nmm)P:concentrated load(N)p:uniformly distributed load(N/mm)a,b:loading point distance:span(mm) l:geometrical moment of inertia(mm 4 )E:modulus of direct elasticity 2.0610 5 (N/mm 2 )C:1/48El(1/Nmm 2 )
The Geometrical moment of inertia (I) is obtained using the following formula: I = I = (D4-d4 For solid shaft For hollow shaft D ) 4 64 64 I : geometrical moment of inertia (mm 4 ) D : outer dia. (mm) d : inner dia. (mm) The values of the geometrical moment of inertia and C (=1/48 I) for NB slide shafts are listed in Table G-4 and G-5. Calculation Examples: 1. Calculate the maximum deformation of a shaft with an outer diameter of 30 mm and a span of 500 mm when a concentrated load of 980 N is applied at the mid-point of the shaft (neglecting the weight of the shaft). support-support : From the given conditions, P is 980 N and is 500 mm From Table G-4, C for an outer diameter of 30 mm is 2.54 x 10 -12 (1/N mm 2 ). Substituting these values into the corresponding formula in Table G-3, max = P 3 C = 0.31 mm. fixed-fixed : Substituting the values into the corresponding formula given in Table G-3, max = P 3 C = 0.08 (mm) 2. Calculate the maximum deformation of a shaft with an outer diameter of 60 mm, an inner diameter of 32 mm, and a span of 2000 mm due to its own weight. From Table G-5, C for an outer diameter of 60 mm is C = 1.73x10 -13 (1/N mm 2 ) The mass per unit length of a shaft with an outer diameter of 60 mm and an inner diameter of 32 mm is 15.9 kg/m. Therefore, a uniformly distributed load of 0.156 N/mm is applied. Substituting these values into the most appropriate formula for your application given in Table G-3. max = p 4 1 4 5 C = 0.27 (mm). 8 G-5 Table G-4 Geometrical moment of inertia and C for NB Slide Shafts outer diameter D(mm) 3 4 5 6 8 10 12 13 15 16 20 25 30 35 40 50 60 80 100 120 150 Geometrical moment of inertia l(mm 4 ) 3.98 1.2610 3.0710 6.3610 2.0110 2 4.9110 2 1.0210 3 1.4010 3 2.4910 3 3.2210 3 7.8510 3 1.9210 4 3.9810 4 7.3710 4 1.2610 5 3.0710 5 6.3610 5 2.0110 6 4.9110 6 1.0210 7 2.4910 7 C=1/48El (1/Nmm 2 ) 2.5410 -8 8.0310 -9 3.2910 -9 1.5910 -9 5.0310 -10 2.0610 -10 9.9110 -11 7.2210 -11 4.0610 -11 3.1410 -11 1.2910 -11 5.2710 -12 2.5410 -12 1.3710 -12 8.0310 -13 3.2910 -13 1.5910 -13 5.0310 -14 2.0610 -14 9.9110 -15 4.0610 -15 Table G-5 Geometrical moment of inertia and C for NB Pipe Shafts outer diameter D(mm) 6 8 10 12 13 16 20 25 30 35 40 50 60 80 100 inner diameter d(mm) 2 3 4 5 6 8 10 15 16 19 20 26 32 48 60 Geometrical moment of inertia l(mm 4 ) 6.2810 1.9710 2 4.7810 2 9.8710 2 1.3410 3 3.0210 3 7.3610 3 1.6710 4 3.6510 4 6.7310 4 1.1810 5 2.8410 5 5.8510 5 1.7510 6 4.2710 6 C=1/48El (1/Nmm 2 ) 1.6110 -9 5.1310 -10 2.1110 -10 1.0210 -10 7.5510 -11 3.3610 -11 1.3710 -11 6.0610 -12 2.7710 -12 1.5010 -12 8.5710 -13 3.5610 -13 1.7310 -13 5.7810 -14 2.3710 -14 SLIDE GUIDE BALL SPLINE ROTARY BALL SPLINE STROKE BALL SPLINE TOPBALL PRODUCTS SLIDE BUSH SLIDE UNIT STROKE BUSH SLIDEROTARYBUSH SLIDE SHAFT SLIDE WAY/GONIO WAY SLIDE TABLE MINIATURE SLIDE ACTUATOR SLIDE SCREW
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NB Products are available from MARY
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Eng- 112 Tech- 17 INDEX- 18
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SLIDE GUIDE SEBS-B/BY P.A-26 SEBS-B
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BALL SPLINE SSP/SSPS P.B-16 SSPM P.
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SLIDE BUSH GM P.D- 12 GW P.D-120 SM
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SLIDE BUSH (Flange Type) SMFC P.D-
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SLIDE UNIT SWA P.E-38 SWJ P.E-40 SW
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SLIDE SHAFT SN P.G-6 SNS P.G-7 SNT
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INDEX AK Slide Unit : Compact Block
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SA Slide Unit : Shaft Support Rail
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SMS-G Slide Bush : Standard Type, A
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SW Slide Bush (Inch Standard) : Sta
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A-1 SLIDE GUIDE BALL SPLINE ROTARY
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Table A-1 Types miniature type high
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RIGIDITY AND PRE-LOAD The rolling e
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MOUNTING A-7 Slide guides have a h
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A-9 Mounting: In general, a slide
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When reference surface is not provi
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Figure A-23 Examples of Joined Guid
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Bellows Option (Series: GL or SGL)
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A-17 Calulcation method of length
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Simplified lubrication management A
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A-21 The SEB(S) type slide guides
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RATED LOAD The load rating for SEB(
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MOUNTING BOLTS Extremely small cust
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H b MR 0 -0.1 B P1 W 0 -0.05 C 4-S
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H b W MR 0 -0.1 Refer to page A-2
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H 1 H1 mm 2 2.6 4 4.7 5.5 7.5 9.5 1
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H 1 A-33 L2(with side-seal) L1(with
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TYPES SER-type slide guides are ava
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Figure A-48 Shoulder Shape-2 r1 r1
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Refer to page A-35 for a descriptio
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Refer to page A-35 for a descriptio
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BLOCK TYPES A-43 Six different typ
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Clean Operation A-45 Ball cushions
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MOUNTING A-47 As shown in Figure A
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H 1 T1 mm 5 6 6.5 9 8.5 1,240 1,36
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H 1 1 Refer to page A-43 for a desc
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H 1 T1 mm 9 8 13.5 12 15.5 20 1,24
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T1 mm 5 6 6.5 9 H 1 8.5 1,240 1,360
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T1 mm 5 6 6.5 9 8.5 H 1 1,240 1,360
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H 1 T1 mm 5 8 9.5 9 8.5 10 T greas
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BLOCK TYPES A-61 Six different typ
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MOUNTING Slide guides are generally
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H 1 1 Refer to page A-61 for a desc
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H 1 H1 mm 13.5 16 20 24 27.5 1,120
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H 1 H1 mm 13.5 16 20 24 27.5 36.5
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H 1 H1 mm 13.5 16 20 24 27.5 1,120
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H 1 H1 mm 13.5 16 20 24 27.5 1,120
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H 1 H1 mm 13.5 16 20 24 27.5 36.5
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ACCURACY A-77 Three accuracy grade
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GREASE FITTING A-79 A grease fitti
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6-S, D drill Refer to page A-77 fo
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The NB ball spline consists of a sp
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Table B-2 Types of Spline Nut type
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ACCURACY The NB ball spline is meas
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LIFE CALCULATION Because ball eleme
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Fit: A transition fit between an SS
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Mounting of SSPM Type Spline: Examp
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Mounting of SSPF Type Spline: Examp
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SSP TYPE Cylindrical Spline Nut p
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SSPM TYPE Keyless Spline Nut part
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SSPF TYPE Flange Type Nut part nu
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SSPT TYPE Two Side Cut Flange Type
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SPA TYPE Keyless Block Type part
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SPA-W TYPE Keyless Block Double Ty
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SSPB TYPE Block Type part number
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STANDARD BALL SPLINE part number st
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The NB rotary ball spline can be us
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PRE-LOAD AND CLEARANCE IN ROTATIONA
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OPERATING ENVIRONMENT Certain opera
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SPR TYPE part number structure exam
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The NB stroke ball spine SPLFS type
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PRE-LOAD AND CLEARANCE IN ROTATIONA
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SPLFS TYPE - Two Side Cut Flange Ty
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C-1 SLIDE GUIDE BALL SPLINE ROTARY
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TOPBALL TOPBALL unit closed type op
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Load coefficient (fw): When calcula
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Shaft and Housing: To optimize NB T
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mm 22.0 22.9 24.9 31.5 44.1 52.1 60
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120 inch .515 .703 1.032 1.112 1.2
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TKA-W TYPE Double-Wide Block Type
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TKE-W TYPE Double-Wide Open Block
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TKD-W TYPE Clearance Adjustable Do
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TWA-W TYPE Double-Wide Block Type
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TWJ-W TYPE Clearance Adjustable Do
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TWD-W TYPE Double-Wide Open Block
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The NB slide bush is a linear motio
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Table D-2 Types (2) standard type c
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SPECIFICATIONS Dimensional Series:
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Examples of Mounting methods are sh
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Notes on Installation: When inserti
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GM TYPE Single Type part number s
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GMF-W TYPE Round Flange Double-Wid
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GMK-W TYPE Square Flange Double-Wi
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GMT-W TYPE Two Side Cut Double-Wid
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GMF-W-E TYPE Round Flange Double-W
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GMK-W-E TYPE Square Flange Double-
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GMT-W-E TYPE Two Side Cut Double-W
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SM TYPE Standard Type This type i
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SM-AJ TYPE Clearance-Adjustable Ty
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SM-OP TYPE Open Type This type is
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SM-W TYPE Double-Wide Type This t
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SMF TYPE Round Flange Type This t
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SMK TYPE Square Flange Type This
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SMT TYPE Two Side Cut Flange Type
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SMF-E TYPE Round Flange Type with
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SMK-E TYPE Square Flange Type with
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SMT-E TYPE Two Side Cut Pilot End
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SMF-W TYPE Round Flange Double-Wid
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SMK-W TYPE Square Flange Double-Wi
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SMT-W TYPE Two Side Cut Double-Wid
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SMFC TYPE Center Mount Round Flang
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SMKC TYPE Center Mount Square Flan
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SMTC TYPE Two Side Cut Center Flan
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SMF-W-E TYPE Round Flange Double-W
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SMK-W-E TYPE Square Flange Double-
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SMT-W-E TYPE Two Side Cut Double-W
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TRF TYPE Triple-Wide Round Flange
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TRK TYPE Triple-Wide Square Flange
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TRFC TYPE Triple-Wide Intermediate
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TRKC TYPE Triple-Wide Intermediate
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TRF-E TYPE Triple-Wide Round Flang
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TRK-E TYPE Triple-Wide Square Flan
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KB TYPE Standard Type This type i
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KB-AJ TYPE Clearance Adjustable Ty
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KB-OP TYPE Open Type This type is
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KB-W TYPE Double-Wide Type This t
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KBF TYPE Round Flange Type This t
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KBK TYPE Square Flange Type This
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KBT TYPE Two Side Cut Flange Type
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KBF-W TYPE Round Flange Double-Wid
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KBK-W TYPE Square Flange Double-Wi
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KBFC TYPE Center Mount Round Flang
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KBKC TYPE Center Mount Square Flan
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SW TYPE Standard Type This type i
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SW-AJ TYPE Clearance Adjustable Ty
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SW-OP TYPE Open Type This type is
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SW-W TYPE Double-Wide Type This t
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SWF TYPE Round Flange Type This t
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SWK TYPE Square Flange Type This
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SWT TYPE Two Side Cut Flange Type
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SWF-W TYPE Round Flange Double-Wid
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SWK-W TYPE Square Flange Double-Wi
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SWFC TYPE Center Mount Round Flang
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SWKC TYPE Center Mount Square Flan
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GW TYPE Single Type part number s
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Table E-1 types A wide variety of
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Table E-3 metric series types shaht
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ACCURACY The accuracy of the SA typ
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SMA TYPE Block Type part number s
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SMA-W TYPE Double-Wide Block Type
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AK TYPE Compact Block Type part nu
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AK-W TYPE Double-Wide Compact Block
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SMB TYPE Block Type part number st
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SMP TYPE Pillow Block Type part n
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SMJ TYPE Clearance Adjustable Type
Page 315 and 316: SME TYPE Open Block Type part numb
Page 317 and 318: SME-W TYPE Double-wide Open Block T
Page 319 and 320: SMD TYPE Open Block with Clearance
Page 321 and 322: RB TYPE Resin Block Type part numb
Page 323 and 324: SH TYPE Shaft End Supporter (Cast
Page 325 and 326: E-32 part number structure example
Page 327 and 328: CE TYPE Non-Clearance Adjustable T
Page 329 and 330: CD TYPE Clearance Adjustable Type
Page 331 and 332: SWA TYPE Block Type (Inch Series)
Page 333 and 334: SWJ TYPE Clearance Adjustable Bloc
Page 335 and 336: SWD TYPE Open Block Type (Inch Se
Page 337 and 338: RBW TYPE Resin Block Type (Inch S
Page 339 and 340: WA TYPE Shaft Support Rail (Inch
Page 341 and 342: The NB stroke bush is a linear and
Page 343 and 344: F-4 SR TYPE SR 20 part number struc
Page 345 and 346: F-6 SR-B TYPE SR 20 part number str
Page 347 and 348: NB's Slide Rotary Series consists o
Page 349 and 350: Application Examples Application Ex
Page 351 and 352: SRE TYPE part number SRE
Page 353 and 354: SREK TYPE Square Flange type
Page 355 and 356: F-16 SLIDE ROTARY UNIT SMA-R TYPE B
Page 357 and 358: F-18 SLIDE ROTARY UNIT AK-R TYPE Co
Page 359 and 360: SLIDE ROTARY UNIT SMP-R TYPE Pillow
Page 361 and 362: NB's RK type slide rotary bush is a
Page 363 and 364: G-1 SLIDE GUIDE BALL SPLINE ROTARY
Page 365: SN/SNS/SNT Type (NB Shaft) P.G-6,7,
Page 369 and 370: SNS TYPE NB Stainless Steel Shaft
Page 371 and 372: NB CENTER-LINED TAPPED SHAFT G-9 A
Page 373 and 374: SNWS TYPE NB Inch Stainless Steel
Page 375 and 376: SNWS-PD NB Inch Pre-Drilled Stainl
Page 377 and 378: MACHINING EXAMPLE NB can fabricate
Page 379 and 380: Shaft (spindle) Shaft (Quill) Pleas
Page 381 and 382: Please send drawing for quotation o
Page 383 and 384: NBs Slide Way NV and NVT types inco
Page 385 and 386: Figure H-5, Parallelism m 10 8 6 4
Page 387 and 388: MOUNTING NV TYPE Accuracy of mounti
Page 389 and 390: NV TYPE part number structure examp
Page 391 and 392: NVT TYPE part number structure exam
Page 393 and 394: The NB slide way is a non-recircula
Page 395 and 396: Example: Figure H-17 SV Type Slide
Page 397 and 398: SPECIAL BOLT (BT type) BT type spec
Page 399 and 400: SV TYPE SV1/SV2 part number struc
Page 405 and 406: SV TYPE SV12 part number structur
Page 407 and 408: SVW TYPE part number structure exam
Page 409 and 410: STROKE AND RATED LOAD When the stro
Page 411 and 412: The NB slide table is a precision t
Page 413 and 414: RATED LIFE The life of an NB slide
Page 415 and 416: H-34 SVT TYPE SVT1/SVT2 part numb
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H-36 SVT TYPE SVT3/SVT4 part numb
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H-38 SVT TYPE SVT6/SVT9 part numb
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SYT TYPE SYT1/SYT2 part number st
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SYT TYPE SYT3 part number structu
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SYT-D TYPE SYT1/SYT2 part number
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SYT-D TYPE SYT3 part number struc
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The NB miniature slide table SYBS t
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Mounting Shape of Mounting Surface
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SYBS TYPE part number structure exa
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Nippon Bearing's Gonio Way family h
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INSTALLATION Figure H-38. Installat
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2-AXES AND CUSTOM SPECIFICATIONS Wh
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RVF TYPE SVT6/SVT9 Part number co
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Suitable for Minute Motion: The fri
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MOUNTING Figure H-44 Example of Mou
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RV TYPE Gonio Way part number str
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CR TYPE (Standard Curved Roller Cag
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NB's BG type is a compact single ax
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PART NUMBER SYSTEM Part number for
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ALLOWABLE SPEED Allowable speed of
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INERTIA Inertia of the slide block
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ACCURACY Table I-7 shows accuracy o
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RATED LIFE To obtain the rated life
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A.1.c. PT for Vertical Move ) durin
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LUBRICATION BG type contains a lith
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BG20 Figures inside( ) indicates ma
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BG33 Exposed Bracket R0 34 4 14 1.
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RETURN PULLEY UNIT Return pulley un
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BG20 SENSOR Photo-sensor or proximi
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BG33 S Specification (Slim-Type Pho
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BG33 K Specification (Proximity Sen
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BG46 H Specification (Close Contact
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BG55 S Specification (Compact Photo
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POSITIONING PIN HOLE For the BG typ
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BG46A,B For the two-block type, the
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BG20A,B -Without Top-Cover- 8 6 20
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BG26A,B -Without Top-Cover- 10 L1 5
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BG33C,D -Without Top-Cover- 8 6 33
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BG46C,D -Without Top-Cover- 13 9 73
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J-1 SLIDE GUIDE BALL SPLINE ROTARY
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SELECTION METHOD Required Thrust: T
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Sample Calculation: 1. Selecting a
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SS TYPE part number structure examp
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DEFINITIONS AND INDICATIONS OF GEOM
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SQUARENESS Squareness assumes a com
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shaft dimensional tolerance diamete
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NB Products are available from MARY
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