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No.000111 Z-axis elevating mechanism
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An elevating mechanism with slant mounted linear guide
Related Category
Linear Guide
| Product name | Miniature Linear Guides/Standard Block with Dowel Holes |
|---|---|
| Part number | SSE2BNZ13-145 |
| Features | Dowel Hole facilitates positioning of Parts Mounted on Blocks |
* Orange colored cells in the table below indicate the part numbers used in this example.
Selection criteria
Effective as a linear motion system to move the table up / down by diagonally mounting.
Available sizes
■Miniature linear guide (Standard block with dowel holes, Slight clearance, Standard grade)
| Material | Hardness |
|---|---|
| EN 1.4125 Equiv. | 56HRC - |
| Carbon steel | 58HRC - |
■Sizes and Dimensions
| Number of blocks | Block | Overall height | Rail length | Dowel hole | ||
|---|---|---|---|---|---|---|
| Width | Length | DIA. | Depth | |||
| 1 | 17 | 23.6 | 8 | 40 - 130 | Ø3 | 2 |
| 20 | 30 | 10 | 35 - 275 | 2.5 | ||
| 27 | 33.9 | 13 | 45 - 470 | 3 | ||
| 32 | 42.4 | 16 | 70 - 670 | 4 | ||
| 40 | 50 | 20 | 100 - 700 | 4 | ||
| 2 | 17 | 23.6 x 2pcs. | 8 | 70 - 130 | 2 | |
| 20 | 30 x 2pcs. | 10 | 95 - 275 | 2.5 | ||
| 27 | 33.9 x 2pcs. | 13 | 120 - 470 | 3 | ||
| 32 | 42.4 x 2pcs. | 16 | 150 - 670 | 4 | ||
| 40 | 50 x 2pcs. | 20 | 160 - 700 | 4 | ||
* Please see the product pages for details of selectable sizes.
Selection steps
■Miniature linear guide selection steps
- Determine application conditions
- (Moving mass, feed rate, motion pattern, life)
↓
- Temporary selection of linear guide specifications
- (Block type, overall height, rail length are
temporarily selected.)
↓
- Confirm of basic safety
-
- ●Allowable load
- ●Life
- ●Preload
Accuracy Info
■Preload and accuracy standards (Standard block with dowel holes, Slight clearance, Standard grade)
(µm)
| Radial clearance | 0 ~ +15 |
|---|---|
| Tolerance of dims. H | ±20 |
| Pair variation of H | 40 |
| Tolerance of dims. W2 | ±25 |
| Pair variation of W2 | 40 |
(µm)
| Rail length (mm) | |||||||
|---|---|---|---|---|---|---|---|
| - 80 | 81 - 200 | 201 - 250 | 251 - 400 | 401 - 500 | 501 - 630 | 631 - 700 | |
| Running parallelism | 13 | 15 | 17 | 18 | 19 | 21 | 21.5 |
Performance info.
■Load capacity of linear guide (Standard block with dowel holes, Slight clearance, Standard grade)
| Overall height | Basic load rating | Allowable static moment | |||
|---|---|---|---|---|---|
| C (Dynamic) kN | Co (Static) kN | MA N･m | MB N･m | Mc N･m | |
| 8 | 0.9 | 1.5 | 4.1 | 4.1 | 5.2 |
| 10 | 1.5 | 2.5 | 5.1 | 5.1 | 10.2 |
| 13 | 2.2 | 3.3 | 8.8 | 9.5 | 16.1 |
| 16 | 3.6 | 5.4 | 21.6 | 23.4 | 39.6 |
| 20 | 5.2 | 8.5 | 48.4 | 48.4 | 86.4 |
Technical calculations
■Linear guide life calculations
- ●Life
- When the linear system is in motion with applied load, the rolling surfaces and races are subject to repeated stress. This stress can cause scale-like flaking due to material fatigue. The total run distance until the flaking appears is the "Life" of the linear system.
- ●Rated life
- Rated life is a total distance 90% of linear guides reach without flaking when a group of the same guides are run under the same condition. The rated life can be calculated with basic dynamic load rating and the load applied on the guides as follows.
-
- When using linear guides, load calculations are initially needed. It is not easy to calculate the loads during linear motion due to vibrations and shocks, as well as load distribution on the guides. Furthermore, operating environment temperature has large effect on life. When these conditions are taken in consideration, the calculations would be as follows.
-
- 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)
-
In using linear guides, the shaft that balls contact must have sufficient hardness, If adequate hardness cannot be obtained, load rating decreases and life will be reduced as a result.
Please compensate the life value with the hardness factor.
- ●Temperature factor (fT)
-
When the temperature of linear guides exceed 100°C, hardness of blocks and rails will be reduced, causing reduction of life. Please compensate the life rating with temperature factor.
* Please use linear guides within the resistant temperature range on product pages.
- ●Contact factor (fC)
-
Table-1. Contact factor
Number of blocks installed on one rail and contact factor fC
1 1.00 2 0.81 3 0.72 4 0.66 5 0.61 In general, it is common to use 2 or more blocks on 1 rail. In such case, load applicable on each block would not be uniform due to machining variations. As the result, allowable load rating on each block would vary depending on the number of blocks used per rail. Please compensate the life rating with contact factor shown on Table-1.
- ●Load factor (fW)
-
Table-2. Load factor
App.condition fw No external shocks or vibrations and
speed is low 15m/min or less1.0 - 1.5 No significant shocks or vibration and
med. speed 60m/min or less1.5 - 20 External shocks and vibrations exist
and the speed is high 60m/min or over2.0 - 3.5 When calculating loads applicable on linear guides, other than the weight of the object, inertial force due to motion speeds, moment loads, and variations of each over time must also be obtained accurately. However, accurate calculation would be difficult due to repeated starts and stops and various shocks and vibrations. Therefore, the Load Factors shown in Table-2 are used to simplify the life calculations.
- ●Applicable load calculation method
- When moment loads apply a block, use the following formula to convert the moment load to applicable load.
-
- P: Applicable load (N)
- F: Downward load (N)
- Co: 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
Lead Screw
| Product name | Lead Screws For Support Units |
|---|---|
| Part number | MTSWK14-240-S70-RC-FE13-FW6-FY1 |
| Features | A dedicated lead screw configured for bearings, stopper clamp, and a position indicator |
* Orange colored cells in the table below indicate the part numbers used in this example.
Selection criteria
Effective as a motion transmission device to move the tale, etc.
Available sizes
■Lead screw support unit
| Lead screw | Compatible lead screw nut | |||
|---|---|---|---|---|
| Type | Material | Surface treatment | Type | Material |
| Right hand thread ･ Lent hand thread | EN 1.1191 Equiv. | - | Right hand thread ･ Lent hand thread | Brass |
| Black oxide | ||||
| Low temperature black chrome plating | ||||
| EN 1.4305 Equiv. | - | |||
■Sizes and Dimensions
| Screw shaft nominal DIA. | Pitch | Overall length | Applicable bearing | Handle mounting shaft | ||
|---|---|---|---|---|---|---|
| 1mm increment | I.D. | Width | DIA. | Length | ||
| 12 | 2 | 80 ~ 1000 | Ø8 | ≤7 | Ø6 | 2 ~ 80 |
| 14 | 3 | Ø10 | ≤8 | Ø8 | ||
| 16 | 100 ~ 1200 | Ø12 | ≤8 | Ø10 | 2 ~ 95 | |
| 18 | 4 | 150 ~ 1200 | ||||
| 20 | Ø15 | ≤9 | Ø12 | 2 ~ 100 | ||
| 22 | 5 | |||||
| 25 | ||||||
* Manufacturable ranges vary slightly depending on material, screw shaft nominal DIA. Please see the product pages for details.
Accuracy Info
■Lead screw: Screw shaft runout tolerance (Max.)
(mm)
| Screw shaft nominal | Screw shaft length | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| - 125 | 126 - 200 | 201 - 315 | 316 - 400 | 401 - 500 | 501 - 630 | 631 - 800 | 801 - 1000 | 1001 - 1200 | |
| 12 | 0.09 | 0.12 | 0.16 | 0.21 | 0.27 | 0.35 | 0.46 | 0.58 | - |
| 14 | 0.09 | 0.11 | 0.13 | 0.16 | 0.2 | 0.25 | 0.32 | 0.42 | - |
| 16 | 0.09 | 0.11 | 0.13 | 0.16 | 0.2 | 0.25 | 0.32 | 0.42 | 0.55 |
| 18 - 20 | - | 0.11 | 0.13 | 0.16 | 0.2 | 0.25 | 0.32 | 0.42 | 0.55 |
| 22 - 25 | - | 0.09 | 0.11 | 0.13 | 0.16 | 0.19 | 0.23 | 0.3 | 0.38 |
■Lead screw accuracy standards
| Item | Value |
|---|---|
| Allowable dimension limit and tolerances | JISB0217 0218 |
| Screw accuracy | 7e Class |
| Nut accuracy | 7H Class |
| Single pitch error | ±0.02 |
| Cumulative pitch error | ±0.15 / 300mm |
| Length tolerance | JISB0405 (Medium class) |
| Screw shaft end DIA. tolerance | h7 |
■Shaft end DIA. tolerance
| Bearing shaft DIA. | Shaft end DIA. | Tolerance |
|---|---|---|
| Ø8 | Ø5 | +0.075 / 0 |
| Ø10 | Ø9.6 | 0 / -0.09 |
| Ø12 | Ø11.5 | 0 / -0.11 |
| Ø15 | Ø14.3 |
Technical calculations
■Lead screw･Lead screw nut selection steps
In order to verify contact surface pressure and sliding speed not to cause abnormal wear on the lead screw nut, obtain surface contact pressure P and sliding speed V.
Plot the calculated P and V values against the PV value graph and confirm the intersection.
If the intersection falls inside of line (1) and (2), it is determined that abnormal wear would not occur.
Determining of usage conditions
↓
Lead screw ･ lead screw nut temporary selection
↓
(1) Contact surface pressure P, (2)Sliding speed V calculations
Verify that the value is within (1) and (2)of the PV value graph
↓
Calculate screw efficiency η and load torque T.
(Axial load, rotational speed)
(Lead screw･lead screw nut material)
↑
(If not good)
PV Value graph
- (1) Steel (lubricated) - Brass
- (2) Steel (unlubricated) - Resin
(1) Contact surface pressure P (N/mm²)
- Fs: Shaft axial load (N)
- F0: Allowable dynamic thrust (N) → From lead screw nut specifications
Thrust when contact surface pressure of the lead screw and nut becomes 9.8 (N/mm²). - α: 9.8(Brass) 0.98(Resin)
(2) Sliding speed V (m/min)
- d2: Screw shaft effective DIA. → From lead screw specifications table
- d: Screw shaft lead angle (deg.) → From lead screw specifications table
- n: Screw shaft rotation per minute (nim-1)
(3) Screw efficiency η
- µ: dynamic friction coefficient
- d: Screw shaft lead angle (deg.)
| Screw shaft | Lead screw nut | Dynamic friction coefficient µ |
|---|---|---|
| Steel (Lubricated) | Brass | 0.21 |
| Steel (Unlubricated) | Polyacetal / sliding PPS resin | 0.13 |
(4) Load torque (N･cm)
- Fs: Shaft axial load
- η: Screw efficiency
- R: Lead (cm)
Digital Position Indicator
| Product name | Digital Positioning Indicators/Standard Splindle |
|---|---|
| Part number | DSNR3-CSE8 |
| Features | Compact indicators can be mounted without occupying much space. Can be selected from 4 digit or 5 digit types. |
* Orange colored cells in the table below indicate the part numbers used in this example.
Selection criteria
Effective as a counter mountable without taking up a large space.
Available sizes
■Compact digital position indicator (Standard, Compact type)
| Cover | Displayed digits | Rotation direction | Back plate | Sleeve | Accessory | |||
|---|---|---|---|---|---|---|---|---|
| Material | Color | Material | Material | Surface treatment | Set screw | Cushion sheet | ||
| Nylon | Orange | 4 digits ･ 5 digits | Right ･ Left | Polyphenylene ether | EN 1.0736 Equiv. | Black oxide | EN 1.7220 Equiv. | Polyethylene foam (Black) |
| Silver | 4 digits | (Black) | ||||||
■Specifications and Dimensions
| Spindle pitch | Count increment per revolution | Max. rotational speed | Applicable shaft DIA. | Reference dimension | |||
|---|---|---|---|---|---|---|---|
| 4 digits | 5 digits | (rpm) | Depth | Overall width | Overall height | ||
| 2 | 0002.0 | 00002.0 | 150 | Ø6 Ø8 Ø10 Ø12 Ø14 | (33) | 33 | 47 |
| 3 | 0003.0 | 00003.0 | 100 | ||||
| 4 | 0004.0 | 00004.0 | 75 | ||||
| 5 | 0005.0 | 00005.0 | 60 | ||||
| 6 | 0006.0 | 00006.0 | 50 | ||||
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Application Overview
Purpose
- Purpose
- Adjust workpiece height during engraving process.
- Operation
- First loosen the lead screw by unlocking the lead screw clamp mounted behind the position indicator. Adjust the height of the workpiece by rotating the hand crank wheel at the end. A vertical scale is mounted beside the lead screw support to provide height adjustments, lock the lead screw clamp again to maintain position.
Points for use
- Secure and maintain height positions.
Target workpiece
- Shape: Name plate
- Size: W50 x D100 x H2mm
- Weight 40g
Design Specifications
Operating Conditions or Design Requirements
- Elevator stroke: ±10mm
- Distance from the sensor flag to overload detection sensor: 4.37mm
- External size: W510 x D380 x H157mm
Required Performance
- Positioning accuracy: ±0.1mm
- Load weight: 25kg
Selection Criteria for Main Components
- The linear guide incline angle 18° set as diagonally mounted wedge, a lead screw with 3mm lead is selected in order to obtain 1mm elevation per 1 rotation of the handle (tan18° x 3 ≈ 1).
Design Evaluation
Verification of main components
- Verify the manual operation force against the moving body.
- Confirmation of the force to rotate the handle.
- Conditional value: Moving body mass W = 25kg, Gravitational acceleration g = 9.8m/s², Lead screw lead
R = 3mm = 0.3cm, lead angle d = 4° 22' = 4.37°, dynamic friction coefficient µ = 0.21, linear guide incline angle θ = 18°, Lever position from the center of handle L = 22mm = 2.2cm - Force acting in the vertical direction: W = m x g = 25 x 9.8=245N
- Force acting in the horizintal direction: F = W x tanθ = 245 x tan18° = 79.6N
- Screw efficiency: η = (1 - µ x tan (d)) / (1 + µ / tan (d)) = (1 -0.21 x tan4.37°) / (1 + 0.21 / tan4.37°) = 0.263
- Load torque: T = (F x R) / (2 x π x η) = (79.6 x 0.3) / (2 x π x 0.263) = 14.5N･cm
Force applicable on lever of the handle P = T / L = 14.5 / 2.2 = 6.6N
- Conditional value: Moving body mass W = 25kg, Gravitational acceleration g = 9.8m/s², Lead screw lead
Other Design Consideration
- The rotary to lifting mechanism is made possible by the use of lead screw and an angle mounted linear slide.
- The height of the workpiece is fixed by locking the lead screw using a clamp.
- A vertical scale is mounted to provide height readout.
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