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No.000031 High Accuracy XY Table Unit

XY table with overrun protection

Rolled Ball Screw

Product name Precision Ball Screws
Part number BSS1505-500
Features Smallest Nut Outer Diameter
* Orange colored cells in the table below indicate the part numbers used in this example.

Selection criteria

Suitable for med. accuracy linear motion drive.

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Available sizes

■Precision Ball Screws

Screw shaft Nut
Material Hardness Screw DIA.(mm) Lead(mm) Overall length(mm) Material Hardness
4115 Alloy Steel Carburized
58~62HRC
φ8 2 100-210 4130 Alloy Steel Carburized
58~62HRC
φ10 2 100-315
4150 Alloy Steel Induction hardened
58~62HRC
4 150-380
10 150-450
4115 Alloy Steel Carburized
58~62HRC
φ12 2 150-445
4150 Alloy Steel Induction hardened
58~62HRC
4 150-400
5 150-450
10 200-600
φ15 5 150-1095
10 200-1095
20 230-1095
φ20 5 200-1000
10 250-1500
20
φ25 5 300-995
10 300-1500
20

■Features of Compact nut

Compact nut O.D.
Suitable for limited space applications

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Selection steps

■Ball screw selection steps

Determine application conditions
(Moving mass, feed rate, motion pattern, screw rotary speed, mounting orientation (horizontal or vertical), life, positioning accuracy)

Temporarily select ball screw specifications
(Based on app. conditions, ball screw accuracy grade (C3~C10), screw shaft DIA., lead, screw shaft length are temporarily selected.)

Basic Safety Check
  • ● Allowable axial load
  • ● Allowable max. speed
  • ● Life

Evaluate in accordance with the required performance
  • ● Screw shaft rigidity
  • ● Change in life due to temperature

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Accuracy Info

■Ball screw accuracy

Accuracy grade: C10 (mm)
Screw shaft DIA. Lead Axial
clearance
Twist
direction
Nut pilot
tolerance
(1) (2) (3) (4) (5) (6) (7)
Runout tolerance
(Max.)
Runout tolerance
(Max.)
Perpendicularity tolerance
(Max.)
Perpendicularity tolerance
(Max.)
Runout tolerance
(Max.)
φ8 2 0.005 or less Right -0.007/-0.020 0.011 0.011 0.005 0.010 0.012
φ10 2・4・10
φ12 2・4・5・10
φ15 5・10・20 -0.009/-0.025 0.012 0.012 0.011 0.015
φ20 5・10・20
φ25 5・10 0.013 0.013 0.013 0.019
20 -0.010/-0.029

(mm)

Screw shaft DIA. (8) Runout tolerance (Max.) / Screw shaft length
-125 126-200 201-315 316-400 401-500 501-630 631-800 801-1000 1001-1250 1251-
φ8 0.035 0.050 0.065 - - - - - - -
φ10 0.040 0.055 0.065 0.080 0.090
φ12
φ15 - 0.045 0.055 0.060 0.075 0.090 0.120 0.150 0.190
φ20
φ25 - 0.040 0.045 0.050 0.060 0.070 0.085 0.100 0.130

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Performance info.

■Ball screw load ratings

Screw shaft DIA. Lead Basic load ratings
C (Dynamic) kN Co (Static) kN
φ8 2 1.95 2.6
φ10 2 2.25 3.3
4 3.35 5.9
10 2.2 3.5
φ12 2 2.45 4.1
4 3.6 6.75
5 5.95 9.8
10 3.85 5.9
φ15 5 6.9 12.5
10・20 4.4 7.9
φ20 5 8.35 17.5
10 13.5 25.1
20 9.2 16.2
φ25 5 9.4 22.2
10 16.1 33.4
20 10.4 20.1

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Technical calculations

■Ball screw life calculations

Ball screw life time is calculated by the following formula.

  • C: Basic dynamic load rating (N)
  • Pm: Average axial load (N)
  • Nm: Average rotational speed (min-1)
  • fw: Operation factor
  • Steady operation without impact fw=1.0~1.2
  • Normal operation       fw=1.2~1.5
  • Operation with impacts      fw=1.5~2.0

- Definition of basic dynamic load rating -
Basic dynamic load rating is an axial load applied on ball screws where a group of the same ball screws
are operated and 90% of the specimen will reach 1,000,000 (10^6) rotations without showing any flaking.

- About average axial load and average rotational speed. -
This needs to be calculated based on the motion pattern.
While it is difficult to accurately obtain load condition, etc, we do know that the ball screws operating life is inversely proportional to the third power of the load.

- Motion pattern example - (T1+T2+T3=100%)

Motion
pattern
Axial load Rotational
speed
Time
proportion
A P1N N1min^-1 t1%
B P2N N2min^-1 t2%
C P3N N3min^-1 t3%

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Ball Screw Stopper

Product name Stopper for Ball Screws 
Part number BSTS12
* Orange colored cells in the table below indicate the part numbers used in this example.

Selection criteria

Urethane stopper for overrun protection

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Available sizes

■Stopper for Ball Screws

(mm)

Material Hardness Applicable
ball screw DIA.
Stopper plate thickness Ball screw shaft
center height
Ether based
polyurethane
Shore A90 φ8 15 17
φ10 18 23, 25
φ12 18 23, 25
φ15 20 26, 28, 30
φ20 20 30
φ25 20 35

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Linear Guide

Product name Linear Guides for Medium Load 
Part number SV2R-MX24-520-WC
Features Compliant with the industry standard specifications.
* Orange colored cells in the table below indicate the part numbers used in this example.

Selection criteria

Standard block, Medium load, normal clearance linear guide

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Available sizes

■Linear Guides for Medium Load 

Material Hardness Overall height(mm) Rail length(mm)
Carbon steel 58HRC~ 24 160-1480
28 220-1960
33 220-1960

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Selection steps

Linear guide selection steps

Determine application conditions
(Mass of moving body, Feed rate, Motion pattern, Life)

Selection of linear guide specifications
(Temporarily select linear guide load type, overall height,
rail length based on the application condition)

Safety Check
  • Load capacity
  • Life
  • Preload

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Accuracy Info

Preload and accuracy reference Standards

(μm)

Dimension tolerance of H ±100
Pair variation of H 20
Dimension tolerance of W2 ±100
Pair variation
of W2
H24・28 20
H33 30

(μm)

Rail length
-250 251-400 401-500 501-630 631-800 801-1000 1001-1250 1251-1600 1601-2000
Running
Parallelism
7 12 14 18 21 23 25 27 28.5

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Performance info.

■Linear guide load ratings (For med. loads, Normal clearance, Standard grade)

Overall height Basic load rating Allowable static moment
C (Dynamic) kN C 0 (Static) kN MA・MB
N・m
Mc
N・m
24 5.0 8.23 33 57
28 7.2 12.1 58 135
33 11.7 19.6 109 225

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Technical calculations

Linear guide life calculations

Operating Life
When a linear guide is loaded in linear reciprocating motion, scaly damage called flaking can appear. This is due to material fatigue because the stress works on the rolling elements and contact surfaces constantly. Total travel distance until the first flaking occurs is the life of the linear guide.
Rated life
Rated life is the total travel distance that 90% of same linear guides, under the same conditions, can reach with no occurrence of flaking damage. Rated life can be obtained from the Basic Dynamic Load Rating and the actual load applied on the linear blocks, as shown below.
Load must be calculated before actually using a linear guide. To obtain load during linear reciprocating motion, it is necessary to consider vibration, impact during motion and the distribution status of the linear guides. The operating environment temperature also effects the life of these parts. when taking these conditions into considiration, the calculation will be:
  • L: Rated life (km)
  • fH: Hardness factor (see Fig-1)
  • fT: Temperature factor (see Fig-2)
  • fC: Contact factor (see Table-1)
  • fW: Load factor (see Table-2)
  • C: Basic dynamic load rating (N)
  • P: Applicable load (N)
Hardness Factor (fH)

For Linear Guide applications, sufficient hardness is required for ball contact shafts. Inappropriate hardness causes less allowable load, resulting in shorter life. Please correct the rated life according to the hardness factors.

Temperature Factor (fT)

If the linear guide temperature exceeds 100°C, the linear guide and rail hardness decreases. This results in a lower allowable load and a shorter life when compared to an application at room temperature. Please correct the rated life according to the temperature factor.
*Please use linear guide under the allowable temperature shown on each product page.

Contact Factor (fC)

Table-1. Contact factor

Number of Linear Guide Blocks on One Rail Contact Fator fC
1 1.00
2 0.81
3 0.72
4 0.66
5 0.61

For actual applications, more than 2 blocks are generally used per rail. In this case, load applied to each block varies depending on machining precision but is not uniformly distributed. As a result, the per-block allowable load varies depending on the number of blocks per rail. Please correct the rated life according to Table 1 : Contact Factor

Load factor (fW)

Table-2. Load factor

Condition of Use fw
No external shocks or vibrations and
speed is low 15m/min or less
1.0-1.5
No significant shocks or vibration and
med. speed 60m/min or less
1.5-20
External shocks and vibrations exist
and the speed is high 60m/min or over
2.0-3.5

To calculate load applied to the linear system, in addition to object weight, inertia force attributed to motion velocity, moment loads and variations of each over time must be obtained. However, for reciprocating motion applications, it is difficult to obtain accurate calculations due to the effects of the vibrations and shocks. Therefor, use Table-2 in order to simplify the Life Calculations.

Applicable load calculation method
When load is applied to a block, convert moment load into applied load using the following formula:
  • P: Applicable load (N)
  • F: Downward load (N)
  • C0: Static load rating (N)
  • MA: Allowable static moment - Pitching direction (N・m)
  • MC: Allowable static moment - Rolling direction (N・m)
  • Lp: Load point distance (m) in pitching direction
  • Lr: Load point distance (m) in rolling direction

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IDEA NOTE Cost reduction by effective use of purchased components

Design steps can be reduced by utilizing ball screws, support units and height adjusting blocks for linear guides.

  • TERMS AND CONDITIONS FOR USE OF CAD DATA
    Your access to the CAD data that MISUMI Corporation (hereinafter referred to as the Company) posts on this site (including 3D CAD data, intermediate 3D CAD data and 2D CAD data; hereinafter referred to as the Data) are of products manufactured and/or sold by the Company (hereinafter referred to as the Products) assumes that you have read and accepted these terms and conditions which govern your use of the Data. If you do not agree to these terms and conditions, you must stop using this website and the Data. You must not use the Data for any unlawful purpose or in any manner inconsistent with these terms and conditions.
    1. CAD Data
    The Data is prepared for assisting the Company's users in the CAD design process by providing dimensions and other Product information. In order to provide the best speed and stability working within this site, the Product drawings were simplified to reduce the size of the Data. For instance, some of the Products are shown without the oil groove shape, screws or spring shape. Also, please be aware that the tolerance, surface roughness and/or chamfer of the Data may vary from the actual Products.
    2. Disclaimer on Data
    While the Company has carefully prepared the Data, accuracy of the Data is not guaranteed and is subject to the variances as described above. The Company may also modify, add or delete the Data at any time without prior notice. The Company assumes no liability for any direct, indirect, consequential or special damages that you may claim resulted from your use of the Data or any changes to or deletions of the Data regardless of the reason. The Company provides no warranty as to the quality, accuracy, functionality, safety or reliability of the combination of Products and parts. Example applications and combinations of the Products are provided for illustrative purposes only.
    3. Copyright
    Copyrights to the content and the Data belong to the Company or the manufacturers of the Products. The said copyright is protected by the Copyright Act and international treaties. The use (including duplication, modification, uploading, posting, transmission, distribution, licensing, sales and publishing) of the Data except for the purpose to use the Data described above without prior approval of the Company is not allowed. The Data cannot be used for any purposes (including sales promotion) except for designing your machine. If you violate this provision or the laws or regulations, the Company may prohibit you from the use of the Data, the Company’s site and/or take legal action. So long as you comply with these terms and conditions, the Company grants to you a non-exclusive, non-transferable, revocable license to access and use the Data for the sole purpose of assisting you in designing machines that incorporate products.
    In case that the CAD data is found to have been to be used for any purpose other than mentioned above or against the related laws, MISUMI may take legal actions, including the one for blocking the involved user from using CAD data and from accessing to the MISUMI site.
    4. Disclaimer of Warranty
    ANY AND ALL CONTENT APPEARING ON THIS WEB SITE IS PROVIDED FOR INFORMATIONAL PURPOSES ONLY. THIS WEB SITE, ITS CONTENT AND ITS LINKS ARE PROVIDED ON AN "AS IS" AND "AS AVAILABLE" BASIS AND ARE USED ONLY AT YOUR SOLE RISK, TO THE FULLEST EXTENT PERMISSIBLE BY LAW. THE COMPANY DISCLAIMS ALL WARRANTIES, EXPRESS OR IMPLIED, OF ANY KIND, REGARDING THIS WEB SITE (INCLUDING ITS CONTENT, HARDWARE, SOFTWARE AND LINKS), INCLUDING AS TO FITNESS FOR A PARTICULAR PURPOSE, MERCHANTABILITY, TITLE, NON INFRINGEMENT, RESULTS, ACCURACY, COMPLETENESS, ACCESSIBILITY, COMPATIBILITY, SECURITY AND FREEDOM FROM COMPUTER VIRUS. THE COMPANY WILL NOT BE LIABLE FOR ANY DAMAGES OR LOSSES, INCLUDING DIRECT, INDIRECT, CONSEQUENTIAL, SPECIAL, INCIDENTAL OR PUNITIVE DAMAGES AND/OR LOST PROFITS, IN CONNECTION WITH USE OF THE INTERNET, THIS WEB SITE, ITS CONTENT OR ITS LINKS
    Further, the Company will not be liable to you for any failure or delay by the Company to provide access to the Data or any of its obligations under these terms and conditions where such failure or delay is the direct or indirect result of any circumstances beyond the Company's reasonable control (and the Company's obligations will be suspended for the duration of such circumstances).

    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.

    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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  • * 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.

Application Overview

Purpose

  • Dual axis positioning unit for printed circuit board assembly.

Points for use

  • Unit is used in class 100 clean room.
  • Dowel Pins are installed for positioning the pallete on the table.

Target workpiece

  • PCB Tray
    Size: W160 x D100 x H10 mm
    Weight: 430 g

Design Specifications

Operating Conditions or Design Requirements

  • X axis unit
    Lower base size: W300 x L690 mm
    Stroke: 340mm
  • Y axis unit
    Lower Base size:W185 x L560 mm
    Stroke: 295mm
  • External dims. W300 x D690 x H128

Required Performance

  • X axis unit
    Positioning accuracy: ±0.05 / 500mm
    Load: Product + Pallet + Y axis unit = 10kg
  • Y axis unit
    Positioning accuracy: ±0.05 / 500mm
    Moving section weight (Product + Pallet) = 2kg

Selection Criteria for Main Components

  • Select ball screw type based on required positioning accuracy ±0.05 /500mm.

Design Evaluation

Verification of main components

  • Select a motor based on applied load torque.
  • Motor selection
    • Load torque calculations for X axis.
    • Operating conditions:
      F = 0 N  - External force
      W = 10 [kg] - X axis unit weight  
      μ= 0.1 - Coefficient of friction (sliding surface)
      g = 9.8 m/s² - Gravitational acceleration
      P = 5 × 10-³ m - Ball screw lead
    • T=1/(2π)×P(F+μWg)[N・m]
      =1/(2π)×5×10⁻³(0+0.1×10×9.8)
      =7.7×10⁻³N・m
    • Select motor where motor rated torque > applied torque*safety factor.
    • For Y axis calculated load torque is 0.19Nm.

Other Design Consideration

  • PC Board fixture pallet should allow for accurate positioning of board during travel and loading/unloading.
  • Ball screw stoppers are installed to prevent damage if overrun occurs.
  • Since there are cables near the moving part, cable carriers should be utilized for protection.
  • Provide safety measures (ball screw covers, etc.) on the moving components and install positioning sensors, etc. if needed.
  • To avoid life span reduction of ball screw and linear guides, consult the accuracy guidance information for this parts.

Explore Similar Application Examples

Page - / -

Part List

No. Part Name Sample Picture MISUMI Part Number Quantity
1 Height Adjusting Blocks for Linear Guides - High Precision Type ABETA28-640-20 1
2 Height Adjusting Blocks for Linear Guides - High Precision Type ABETE28-640-20 1
3 Linear Guides for Medium Load - Normal Clearance SV2R-MX28-640-WC 2
4 Support Units/Square/Fixed Side BSW12 1
5 Precision Ball Screws Standard Nut - Shaft Dia. 15, Lead 5, 10, 20 - Accuracy Grade C3, C5, C7 BSS1505-500 1
6 Support Units/Square/Support Side Standard BUN12 1
7 Brackets for Ball Screws - Block Type BNFA1505S-23 1
8 Support Units Peripherals - Stoppers for Ball Screws BSTS12 2
9 Disc Couplings - Clamping CPDW32-10-11 1
10 Height Adjusting Blocks for Linear Guides - High Precision Type ABETA24-520-24 1
11 Height Adjusting Blocks for Linear Guides - High Precision Type ABETE24-520-24 1
12 Linear Guides for Medium Load - Normal Clearance SV2R-MX24-520-WC 2
13 Support Units/Square/Fixed Side BSW10S 1
14 Support Units/Square/Support Side Standard BUN10 1
15 Precision Ball Screws Standard Nut - Shaft Dia. 12, Lead 2, 4, 5, 10 - Accuracy Grade C3, C5, C7 BSS1205-450 1
16 Brackets for Ball Screws - Block Type BNFA1205S-23 1
17 Support Units Peripherals - Stoppers for Ball Screws BSTS10 2
18 Disc Couplings - Clamping CPDW25-8-8 1
19 Dowel Pins Straight Type MS4-10 2
  • The part list above only contains MISUMI parts.
    Part list download (CSV) includes MISUMI and third party components used in this example.
  • TERMS AND CONDITIONS FOR USE OF CAD DATA
    Your access to the CAD data that MISUMI Corporation (hereinafter referred to as the Company) posts on this site (including 3D CAD data, intermediate 3D CAD data and 2D CAD data; hereinafter referred to as the Data) are of products manufactured and/or sold by the Company (hereinafter referred to as the Products) assumes that you have read and accepted these terms and conditions which govern your use of the Data. If you do not agree to these terms and conditions, you must stop using this website and the Data. You must not use the Data for any unlawful purpose or in any manner inconsistent with these terms and conditions.
    1. CAD Data
    The Data is prepared for assisting the Company's users in the CAD design process by providing dimensions and other Product information. In order to provide the best speed and stability working within this site, the Product drawings were simplified to reduce the size of the Data. For instance, some of the Products are shown without the oil groove shape, screws or spring shape. Also, please be aware that the tolerance, surface roughness and/or chamfer of the Data may vary from the actual Products.
    2. Disclaimer on Data
    While the Company has carefully prepared the Data, accuracy of the Data is not guaranteed and is subject to the variances as described above. The Company may also modify, add or delete the Data at any time without prior notice. The Company assumes no liability for any direct, indirect, consequential or special damages that you may claim resulted from your use of the Data or any changes to or deletions of the Data regardless of the reason. The Company provides no warranty as to the quality, accuracy, functionality, safety or reliability of the combination of Products and parts. Example applications and combinations of the Products are provided for illustrative purposes only.
    3. Copyright
    Copyrights to the content and the Data belong to the Company or the manufacturers of the Products. The said copyright is protected by the Copyright Act and international treaties. The use (including duplication, modification, uploading, posting, transmission, distribution, licensing, sales and publishing) of the Data except for the purpose to use the Data described above without prior approval of the Company is not allowed. The Data cannot be used for any purposes (including sales promotion) except for designing your machine. If you violate this provision or the laws or regulations, the Company may prohibit you from the use of the Data, the Company’s site and/or take legal action. So long as you comply with these terms and conditions, the Company grants to you a non-exclusive, non-transferable, revocable license to access and use the Data for the sole purpose of assisting you in designing machines that incorporate products.
    In case that the CAD data is found to have been to be used for any purpose other than mentioned above or against the related laws, MISUMI may take legal actions, including the one for blocking the involved user from using CAD data and from accessing to the MISUMI site.
    4. Disclaimer of Warranty
    ANY AND ALL CONTENT APPEARING ON THIS WEB SITE IS PROVIDED FOR INFORMATIONAL PURPOSES ONLY. THIS WEB SITE, ITS CONTENT AND ITS LINKS ARE PROVIDED ON AN "AS IS" AND "AS AVAILABLE" BASIS AND ARE USED ONLY AT YOUR SOLE RISK, TO THE FULLEST EXTENT PERMISSIBLE BY LAW. THE COMPANY DISCLAIMS ALL WARRANTIES, EXPRESS OR IMPLIED, OF ANY KIND, REGARDING THIS WEB SITE (INCLUDING ITS CONTENT, HARDWARE, SOFTWARE AND LINKS), INCLUDING AS TO FITNESS FOR A PARTICULAR PURPOSE, MERCHANTABILITY, TITLE, NON INFRINGEMENT, RESULTS, ACCURACY, COMPLETENESS, ACCESSIBILITY, COMPATIBILITY, SECURITY AND FREEDOM FROM COMPUTER VIRUS. THE COMPANY WILL NOT BE LIABLE FOR ANY DAMAGES OR LOSSES, INCLUDING DIRECT, INDIRECT, CONSEQUENTIAL, SPECIAL, INCIDENTAL OR PUNITIVE DAMAGES AND/OR LOST PROFITS, IN CONNECTION WITH USE OF THE INTERNET, THIS WEB SITE, ITS CONTENT OR ITS LINKS
    Further, the Company will not be liable to you for any failure or delay by the Company to provide access to the Data or any of its obligations under these terms and conditions where such failure or delay is the direct or indirect result of any circumstances beyond the Company's reasonable control (and the Company's obligations will be suspended for the duration of such circumstances).

    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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