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  • Helpful application examples for mechanical engineers.

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No.000032 Pick and Place Mechanism with Ball Spline

Compact design utilizing ball spline

Relevant category

Timing Belt

Product name Timing Belts - MXL / XL / L / H
Part number TUN165L050
Features General purpose timing belts for transmission. Although some tooth fabrics for MXL and XL rubber belts are changed to comply with the bear-back specifications, it does not affect the performance.
* Orange colored cells in the table below indicate the part numbers used in this example.

Selection criteria

Transmit torque from driving to driven pulley.

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Risk info.

A pulley layout enabling replacements

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Available sizes

■Timing Belts - MXL / XL / L / H

Material MXL XL L H
Tooth surface cover Tooth rubber Core wire
Nylon canvas Chloroprene
Rubber
Glass fiber cord
S/Z Alternately Twisted Continuous
Polyurethane Polyurethane MXL: Kevlar
XL・L: Steel cord

■Reference dimensions

Belt type Pitch Belt width Belt length reference
MXL 2.032 4.8, 6.4, 9.5, 12.7 100-1100
XL 5.08 6.4, 7.9, 9.5, 12.7 200-2100
L 9.525 12.7, 19.1, 25.4, 38.1 300-1800
H 12.7 19.1, 25.4, 38.1, 50.8 600-4300

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Selection steps

■Timing belt selection procedure

* Timing belt selection is made together with timing pulley

Automated selection tool is available to use.

http://fawos.misumi.jp/FA_WEB/pulley_us/

Determining of usage conditions
Designed power・Rotational speed・Interim shaft distance・motion pattern, etc.

Belt (pulley) interim selection
Belt type·Belt width

Verifying specification compatibility
  • Verifying calculated shaft distance, etc.
  • Verifying tension and load

Performance info.

■Load info. of timing belt

Belt type Small pulley rotational speed(rpm) Designed power(kW)
MXL、XL、L、H、T5、T10 10-20000 0.01-800

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Technical calculations

■Technical calculations

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Timing Pulley

Product name Timing Pulleys L Type
Part number ATPA19L050-A-N30
Features New! METRIC/ INCH Bores Available!
* Orange colored cells in the table below indicate the part numbers used in this example.

Selection criteria

Transfer rotary motion. Aluminum type selected for weight reduction purposes.

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Risk info.

Accuracy degradation due to wear over time.

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Available sizes

■Timing Pulleys L Type

Material Surface treatment Tooth type/Belt width
MXL XL L H
Pulley Flange 4.8 6.4 9.5 12.7 6.4 7.9 9.5 12.7 12.7 19.1 25.4 38.1 19.1 25.4 38.1 50.8
MXL、XL:
2017 Aluminum Alloy

L、H:
7075 Aluminum Alloy
5052 Aluminum Alloy Clear anodize
Black anodize
Hard anodize
Electroless
nickel plating
1045 Carbon Steel Low Carbon Steel
Black
oxide
Electroless
nickel plating
304 Stainless Steel 304 Stainless Steel -

■Pulley number of teeth and shaft bore DIA.

Belt type Shape Number of teeth Pitch circle DIA. Shaft bore DIA.
MXL K, A, B 14-72 φ9.6-46.57 φ3-35
XL A, B 10-72 φ16.17-116.43 φ4-80
L A, B, D 10-72 φ30.32-218.30 φ6-100
H A, B, D 14-72 φ58.60-291.06 φ12-100

K: With collar
A: No hub
B: With hub
D: With hub Relieved

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Selection steps

■Timing pulley selection steps

* Timing pulley selection is made at the same time as the timing belt.

Automated selection tool is available to use.

http://fawos.misumi.jp/FA_WEB/pulley_us/

Determining of usage conditions
Design power・Rotational speed・Rotation ratio・Interim shaft distance, Motion pattern, etc.

Temporary selection of pulley (Belt)
Tooth profile・Belt width

Verifying specification compatibility
  • Verifying calculated shaft distance, etc.
  • Verifying tension·Load

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Accuracy Info

■Timing pulley accuracy

Shaft bore tolerance: H7

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Technical calculations

■Technical calculations

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Bearings with Housing

Product name Bearings with Housings - Standard Length, Double Bearings, Retained
Part number BGRBB6007ZZ-50
* Orange colored cells in the table below indicate the part numbers used in this example.

Selection criteria

Compact double bearing type with high bearing performance

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Available sizes

■Bearings with Housings - Standard Length, Double Bearings, Retained

Flange Shape Material Surface treatment
Bearing Housing Retaining ring Housing
Round type
Square type
Compact type
Steel 1045 Carbon Steel Spring steel Black oxide
304 Stainless Steel Electroless nickel plating
2017 Aluminum Alloy 304 Stainless Steel Clear anodizing
Stainless
304 Stainless Steel

■Sizes

Shaft bore DIA. Bearing
part number
Seal Overall length Pilot
O.D.
φ30 6806 Double shielded

Non-contact
rubber seal

Contacting
rubber seal
35 50 φ50
6906 35 50 φ54
6006 40 60 φ62
6206 50 60 φ70
φ35 6007 50 60 φ70
6207 60 80 φ84
φ40 6008 60 70 φ78
6208 60 80 φ92

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Accuracy Info

■Accuracy of bearing housing

Pilot O.D. tolerance: g7
Seating face - Pilot perpendicularity: 0.01

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Ball Spline

Product name Ball Splines -Both Ends Stepped Tapped
Part number BSLM13-350-F6-E25-P10-Q10-M6-N6-SC0
* Orange colored cells in the table below indicate the part numbers used in this example.

Selection criteria

Suitable for a transmission element when linear and rotary motion are needed at the same time.

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Available sizes

■Ball Splines -Both Ends Stepped Tapped

Spline
Shaft
Material 52100 Bearing Steel 440C Stainless Steel
Hardness 58HRC~ 55HRC~
Nut Material 4115 Alloy Steel 440C Stainless Steel
Hardness 58HRC~ 55HRC~
Shape Round flange
Compact flange -
Straight

■Dimensions

Spline shaft Nut
Name No. Shaft DIA. Overall length Pilot DIA.
10 φ10.4 60-600 φ21
13 φ13.4 60-600 φ24
16 φ16.6 70-600 φ31

For 440C Stainless Steel spline shaft max. overall length is 390mm.

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Selection steps

■Ball spline selection steps

Determine application conditions
(Load, Torque, Feed distance, Life)

Temporarily select ball spline specifications
(Temporarily select spline shaft DIA., spline shaft length, overall length based on app. conditions)

Verify basic safety
  • Allowable load
  • Life

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Accuracy Info

■Accuracy of ball spline shaft

(μm)

Name
No.
Spline
Shaft DIA.
Nut O.D. runout Spline shaft center runout(Max.)
(Max.) Length -200 201-315 316-400 401-500 501-
10 φ10.4 33 59 83 103 82 102
13 φ13.4 39 56 71 83 62 75
16 φ16.6

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Performance info.

■Ball spline load rating

Name
No.
Basic torque rating Basic load rating
Dynamic (Nm) Static (Nm) Dynamic (kN) Static (kN)
10 11 21 2.4 4.3
13 20 37 3.3 5.9
16 51 93 6.2 11.1

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Technical calculations

Ball spline running life is calculated with the formula below.

●In case of radial loads

In case of radial loads

●In case of torque loads

In case of torque loads
  • L: Life (km)
  • ft: Temp. factor
  • fh: Hardness factor
  • fp: Load rating ratio
  • fw: Load factor
  • L0: Rated life (50km)
  • C: Basic dynamic load rating (N)
  • F: Applicable radial load (N)
  • Ct: Basic dynamic torque rating (N・m)
  • T: Applicable torque (N・m)

Ball spline life time is calculated with the formula below.

寿命時間
  • Lh: Run hours (hr)
  • L: Life (km)
  • St: Stroke length
  • n: Number of cycles per minute (cpm)

■Temp. factor (ft)

Temp. factor (ft)

■Hardness factor (fh)

Hardness factor (fh)

■Load rating ratio (fp)

Name No. Spline shaft DIA. Distributed load Direct download
10 φ10.4 1 0.71
13 φ13.4 1 0.71
16 φ16.6 1 0.68

■Load factor (fw)

Application conditions Load factor (fw)
No vibration or shocks
(Low speed 1~2 15m/min or less)
1-2
Some vibrations and shocks
(Med. speed 2~3 60m/min)
2-3
Severe vibrations and shocks
(High speed 3 and over 60m/min or over)
3-

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IDEA NOTE Transmit rotational power to the ball spline nut

This app. example uses a ball splines with flanged type nut.
Flanged nut is mounted on a hollow shaft, and rotation is transmitted via a pulley.

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    CAD Download (Unit Assembly)

    CAD Download: File Format
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    Thank you for downloading the data.

    Click the Good IDEA! button when you find interesting design tips.


    This data is utilized in order to list more useful application examples in the future.

    CAD Data Limitations

    1. Assembly data shows the assembly drawings in the concept design phase. The sole purpose of the data is to explain the structure and functionality of the assembly and is not considered nor to be used as a final design.
      You will need to edit the Data so that it meets your specific design conditions.
    2. Unit assembly Data consists of some sub-assemblies.
      It is configured so that each sub-assembly unit can be used as it is or edited.
    3. * The part in the frame is a sub-assembly unit.

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       It is configured so that each sub-assembly unit can be used as it is or edited.

Application Overview

Purpose

  • Pick, rotate and lower workpiece to next work station.

Target workpiece

  • Plastic pin with square base
    • Pin DIA.: φ15, Length: 100mm
    • Protrusion on one location

Design Specifications

Operating Conditions or Design Requirements

  • W150XD240XH377mm
  • Up/down stroke: 150mm
  • Rotation angle: 90deg.

Required Performance

  • Rotational position accuracy: ±1°

Selection Criteria for Main Components

  • A ball spline is used for accurate linear motion as well as for its ability to rotate its orientation.

Design Evaluation

Verification of main components

  • Select a motor that satisfies the torque at required speed.
  • Motor selection
    • Calculation of load torque
      App. condition: Timing belt drive
    • Conditional value:
      D = 57.61 x 10³m - pulley pitch diameter
      F = 5N - belt tension force
      W = 0kg - workpiece mass
      μ = 0.1 - coefficient of friction, sliding surface
      g = 9.8m/s² - gravitational acceleration
    • From: Load torque T = D/2 × (F + μWg) Nm
      T = 1 / 2 × 57.61 × 10³ × (5 + 0.1 × 0 × 9.8) = 144 × 10³Nm
      therefore, we select a motor with larger torque then T =0.14Nm
    • Torque of the selected motor MAMA012P1A (with continuous operation range up to 5000r/min) is 0.19Nm, and satisfy requirements.
      Motor rated torque > Actually applied torque.

Other Design Consideration

  • For smooth rotation ball spine is supported by ball bearing on two ends and rotation is transmitted thru pulley.
  • If needed install position sensors.

Explore Similar Application Examples

Page - / -

Part List

No. Part Name Sample Picture MISUMI Part Number
(click the Part Number below for details)
Quantity
1 Floating Joints FJUC10 1
2 Collars FNCLB-V6-D15-L18.2 4
3 Hex Posts LSFB12-57 2
4 Timing Pulleys ATPA19L050-B-P13 1
5 Timing Belts TUN165L050 1
6 Timing Pulleys ATPA19L050-A-N30 1
7 Shaft Collars SCSLAW35-43 1
8 Parallel Keys KESSM8-20 1
9 Bearing W/Housing BGRBB6007ZZ-50 1
10 Ball Spline BSLM13-350-F6-E25-P10-Q10-M6-N6-SC0 1
11 Bearing Spacer CLBU10-17-5.0 1
12 Bearing W/Housing BGTAB6200ZZ 1
13 Shaft Collars SCSBS10-16 1
14 Metal Washers FWSSM-D15-V6.5-T3.1 1
  • The part list above only contains MISUMI parts.
    Part list download (CSV) includes MISUMI and third party components used in this example.
  • Terms of use of CAD data and simplified drawing data
    These terms and conditions (hereinafter referred to as “the Terms") set forth the conditions for downloading CAD data and simplified drawing data posted on https://th.misumi-ec.com/ (hereinafter referred to as the "Website") operated by MISUMI (THAILAND) CO., LTD. (hereinafter referred to as "MISUMI"). By downloading CAD data and simplified drawing data posted on the Website (hereafter referred to as “Data”), customers are deemed to have agreed to these Terms.

    1. Purpose of Use
    MISUMI offers the following:
    1)CAD data found on the Website (3D CAD data, 3D Intermediate data and 2D CAD data) for the purpose of informing customers of the characteristics of the products offered by MISUMI or a manufacturer affiliated with MISUMI for use in their designs.
    2)Simplified drawing data (in PDF format) for the purpose of checking the specifications of products.
    2. Characteristics of Data
    There may be a discrepancy in certain characteristics of products (for example: tolerance, surface roughness, chamfer, etc.) between the Data and the actual product. Furthermore, for the purpose of reducing the file size of the Data, some information such as oil groove shapes, threads, or spring shapes, may be removed from the Data.
    3. Disclaimer
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    Customers shall comply with all applicable laws and regulations regarding the export of the Data.
    8. Amendments to the Terms
    MISUMI may, at any time, and in its sole discretion, modify these terms and conditions; any such modification will be effective immediately.
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    If any term or provision of these Terms is invalid, illegal, or unenforceable in any jurisdiction, such invalidity, illegality, or unenforceability shall not affect any other term or provision of these Terms or invalidate or render unenforceable such term or provision in any other jurisdiction.
    10.Miscellaneous
    These Terms and any disputes arising in connection therewith shall be exclusively governed by and construed in accordance with the laws of Thailand, without regard to its conflicts of law principles. The authorized courts in Thailand shall have exclusive jurisdiction to adjudicate any dispute arising in connection with these Terms.

    Revised: 16th November, 2025

    CAD Download (Unit Assembly)

    CAD Download: File Format
    生成

    Thank you for downloading the data.

    Click the Good IDEA! button when you find interesting design tips.


    This data is utilized in order to list more useful application examples in the future.

    CAD Data Limitations

    1. Assembly data shows the assembly drawings in the concept design phase. The sole purpose of the data is to explain the structure and functionality of the assembly and is not considered nor to be used as a final design.
      You will need to edit the Data so that it meets your specific design conditions.
    2. Unit assembly Data consists of some sub-assemblies.
      It is configured so that each sub-assembly unit can be used as it is or edited.
    3. * The part in the frame is a sub-assembly unit.

    4. The Data for fabricated parts is based on easy-to-edit dimensions and shapes in sketches and histories.
    5. The Data including the third-part components are made by the Company.

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