Innovative Power Transmission. Tooth Centre Distance. Curved Tooth Couplings High-Speed Series. owner s choice

Innovative Power Transmission Tooth Centre Distance Curved Tooth Couplings High-Speed Series owner s choice

Curved Tooth Couplings High-Speed Range Safety and Reliability The safety and reliability of machine installations depends to a great extent on the type and quality of the couplings used. This is even more so where the couplings have to satisfy special requirements. Curved Tooth Couplings Curved tooth couplings in a wide variety of designs have proven themselves over decades in all fields of industrial engineering. The versatility of this ingenious drive element is shown in a comprehensive range of construction series, offering a solution for even the most unusual applications. Systematic structuring according to quality features and application-related criteria ensures optimum adaptation of the coupling design to the specific application. New Development The ZT coupling series has been newly developed for high and very high speeds. It has its origins in the proven highspeed coupling series of RENK and TACKE and offers the best of what is currently possible in the field of gear cou p - lings. The evolution of this coupling range is based on more than 75 years of experience in the development and manufacture of top-quality drive elements using state-of-the-art technology and most advanced production facilities. Hardened and Ground The external and internal gear teeth are hardened and ground. This ensures high percentage contact areas and thus high performance combined with small dimensions. Maximum precision in the manufacturing of all parts is the guarantee for exceptionally good running quality under all operating conditions. Owing to its low weight and high efficiency, this coupling particularly lends itself for use in installations involving flexible shaft lines which are susceptible to vibrations. 2 3 Gear tooth grinding machine 2 Gear tooth shaping machine while producing the internal teeth 3 Hubs of the curved tooth coupling Type VLBGkT 200 spec. for use in vertical thruster drives 4 Gear tooth milling machine with automatic work piece feed 4 2 RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256

Single Tooth Injection Lubrication Single tooth injection lubrication with continuous lubricant supply provides a maximum of operating reliability combined with a minimum of maintenance. The deposition of centrifugally separated-out oil components is reliably prevented by the design of the coupling parts. This type of lubrication is prescribed for all the coupling series described in this catalogue. Upon request, the couplings can also be supplied with guards being equipped with integrated injection nozzles. The oil supply can be provided by a separate lube oil system or by the installation s own central lubrication station. Quick Availability This is ensured by permanent stock-keeping of all components requiring complex production processes. Couplings which do not require any additional parts such as spacers or intermediate shafts are therefore available from stock at short notice. Depending on the coupling series, this applies to hub bores up to a diameter of 280 mm. Additional Tasks The couplings can perform additional tasks if special parts or additional attachments are installed. These include retaining rings to axially lock generator or motor shafts equipped with floating bearings, as well as insulating bushes and washers to interrupt leakage currents in electrical installations. The combination with torque metering shafts of various designs or the installation of safety elements ensures safe monitoring and protection of the installations during operation. In addition, all coupling series can be supplied as customized designs to fulfil specific requirements. 2 Key-seating machine 2 Cut-away model of a curved tooth coupling Type ZTNH 85 3 3-D measuring machine 4 Set-up of a gear cutting machine 4 3 RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256 3

Application and Quality Features Application Features Quality Features Construction Series Page High and extremely high speeds Flexible rotors susceptible to vibrations Extended demands on the running performance, in particular in the idle and partial load ranges Very low axial forces High safety against overload Safe interchangeability of components at a high quality level Design according to API 67 Tooth tip centred Single tooth injection lubrication Nitrided and ground internal and external teeth Gear teeth quality Q = 4 according to DIN 3962 Low weight High quality standard in terms of concentricity and balance quality High-strength material Slightly crowned external gear teeth Flank hardness of internal and external teeth > 600 HV Surface finish R a 0.8 µm Reproducible dimensions For highest demands ZTNH 6 7 ZTKH 6 7 ZTF 8 9 ZTFK 8 9 ZTFR 8 9 ZTFKR 8 9 ZTA 0 ZTAK 0 ZTN 2 3 ZTK 2 3 High speeds Stiff rotors not susceptible to vibrations Low axial forces High safety against overload Safe interchangeability of components Design according to API 67 Tooth tip centred Single tooth injection lubrication Nitrided internal and external gear teeth Gear teeth quality Q = 6-7 according to DIN 3962 High quality standard in terms of concentricity and balance quality Quenched and tempered alloy steel Crowned external gear teeth Flank hardness of internal and external gear teeth > 600 HV Surface finish R a 3.2 µm For high demands TF 4 5 TFH 6 7 THB 8 Medium speeds Stiff rotors not susceptible to vibrations High safety against overload Safe interchangeability of components Low axial forces Tooth tip centred Single tooth injection lubrication Natural hard internal and external gear teeth Gear teeth quality Q = 7-8 according to DIN 3962 Quenched and tempered steel Crowned external gear teeth Surface finish R a 3.2 µm For medium demands TSB 9 TSR 20 TSBL 2 TRL 22 TRG 23 Technical Annex Distance plates and coupling guards 24 25 Special designs 26 27 Shaft-hub connections 28 Calculation formulae and tables 29 30 4 RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256

Coupling Selection and Size Determination Schematic representation to determine the misalignment values Axis of rotation 2 (coupling connection) Axis of rotation (shaft) Coupling selection and size determination I. Selection on basis II. Size determination accor- III. Selection according of the application ding to power rating PN n to local site and quality features Shock load conditions on page 4 Short circuit load Length Bore diameter Misalignment values Operating speed according to table Result: Result: Result: Coupling Series Coupling size Coupling type Tooth centre distance lo ΔK r = radial misalignment, mm ΔK w = angular misalignment, min. ΔK r = radial misalignment per mm ΔK a = axial misalignment, mm tooth centre distance, mm Table Service Factor K Constant torque:.50 (turbine, boiler feed pump, centrifugal compressor) Design according to API 67.75 Minor torque fluctuations 2.00 The Service Factor K is applicable for drives including soft starting electric motors, steam turbines or gas turbines. For applications involving high torque fluctuations, alternating torques or reversing operation, please consult RENK AG, Rheine Works. Misalignment Values Speed Factor f ΔKr ΔKw ΔKa ZTNH ZTF TF TSB TSB ZTKH ZTFK TFH TSR TSR ΔKr ZTA THB TSBL TSBL ΔKr = lo ZTAK TRL TRL ZTN TRG TRG ZTK up to over mm minutes size size 60 60 0,00058 2 0,006 4 0,0075 6 0,00233 8 0,00290 0 0,8 0,00349 2 0,90 0,00407 4 0,80 0,90 0,00465 6 Upon request, 0,75 0,94 0,79 0,00524 8 special measures 0,67 0,83 0,70 0,00582 20 required 0,60 0,75 0,63 0,00640 22 0,55 0,68 0,57 0,00698 24 0,50 0,63 0,52 ΔKw perm in minutes 0 24 See dimension table, dimension S ΔKa perm S ± ΔKa ± ΔKa Misalignment In practice, misalignments mostly occur in combined form. The angular misalignment ΔK w of the coupling connection results from the radial misalignment ΔK r of the shafts. An additional angular misalignment of the axis (shaft) changes the angle ΔK w relative to the axis 2 (coupling connection). Misalignments within the blue range do not cause an increase of the value ΔK w, whereas ΔK w is increased if misalignments outside this range occur. The total misalignment capacity may not exceed ΔK w perm. as per Table. Speed factors The maximum permissible operating speed n perm depends on the type and size of the coupling and on the misalignment occurring during operation. It is determined by using the following formula: n perm = n max f n max acc. to dimension table speed factor f per Table. Size determination The size is determined by the power rating PN n Condition for continuous power PN n K TKN P N = max. continuous power (kw) P KN = coupling nominal power (kw) according to dimension table n = operating speed (rpm) Max. shock load of coupling =.5 P KN Max. short circuit load of coupling = 3 P KN Example: A plant equipped with steam turbine gearbox generator Needed: The coupling between steam turbine and gearbox Known: P N = 3,500 kw n = 0,000 min - Short circuit load = 6 P N Shaft diameter, turbine d = 0 mm Shaft diameter, gearbox d = 5 mm Required min. length of coupling = 000 mm Max. radial misalignment = 0.9 mm I. According to the application and quality features, the series range for highest demands is selected. P N 3,500 II. n K =.75 = 2.36 requires the sizenew = 5 0,000 Corresponding indication on the dimension list PN n = 3.5 The review of the short circuit load, bore diameter and permissible speed n perm does not result in another coupling size. III. On the basis of the required length and misalignment, the coupling type ZTNH with spacer is selected. Total length C = 000 mm Tooth centre distance lo = C 2 X 2 = 000 2 63 = 874 mm Required radial misalignment ΔK r = 0.9 mm ΔK r = ΔK r = 0.9 = 0.0003 lo 874 According to Table, this value corresponds to an angular misalignment of ΔK w 4 minutes. 0 minutes are permissible. Result after the steps I, II and III: The selected coupling ZTNH 5 satisfies all of the requirements. RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256 5

Curved Tooth Couplings High-Speed Series ZTNH and ZTKH Hardened and ground gear teeth Dimension table No. 243 0/ Series ZTNH with cylindrical bore bore d bore d 2 Series ZTKH with tapered bore bore d; d2 Sizes 45 to 205 are available from stock, without spacer. Larger sizes on request. For hubs with tapered bore, the hub length D can be maximum increased to dimension D. For technical reasons, hydraulic fits require the supply of the pressure oil through the shaft. For coupling selection and size determination, please see page 5. ) Values of the complete coupling, series ZTNH, with E = E min and bore d ; d 2 max 2) Internal gear teeth not ground Coupling Normal Speed Dimensions Type cont. ZTNH + operation bore ZTKH PKN nmax d; d2 Size n min max A B Cmin C D D Emin G G J Lmin S new old kw min rpm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm litre kgm 2 kgm 2 kg 35 0, 40.000 8 35 7 82 66 49 45 35 76 50 60 9 50,5 xø2 4,5 0,0044 0,00009 3, 40 0,4 37.500 20 40 27 88 76 54 50 40 76 56 66 9 50,5 xø2 4,5 0,0062 0,000 3,8 45 0 0,9 32.000 35 45 23 04 22 85 55 45 02 64 74-4 50 2,5 xø2 4,5 0,0099 0,000088 5,4 55 20 0,32 28.000 40 55 33 20 228 88 65 55 98 77 87 50 2,5 xø2 4,5 0,07 0,0003 7,2 63 30 0,5 25.000 45 63 48 35 25 95 75 65 0 88 0 5,5 50 2,5 xø2,5 7 0,027 0,00020 9,5 73 40 0,79 22.000 50 73 68 55 283 00 90 75 03 02 8 6,5 50 3 xø2,5 7 0,048 0,00034 3 85 50,23 20.000 55 85 88 74 309 02 05 90 99 9 33 27,5 50 3 xø3 0 0,085 0,0006 9 00 60,92 8.000 65 00 27 98 34 2 20 05 0 40 56 3 55 3 xø3 0 0,7 0,00 29 5 70 3,5 6.000 75 5 242 224 376 22 35 20 06 60 78 38,5 55 4 xø3,5 3 0,30 0,002 40 30 80 4,40 3.500 85 30 276 256 42 40 55 35 82 200 40,5 60 4 xø3,5 3 0,60 0,0034 6 50 90 7,00.500 00 50 306 288 477 55 80 55 7 20 230 53,5 60 4 2xØ3 20, 0,0058 88 75 00 0,5 0.000 5 75 354 330 56 80 20 80 4 245 265 63 75 5 2xØ3 20 2,3 0,0099 39 205 0 5,8 9.000 35 205 394 390 62 95 245 20 3 290 35 78 75 5 2xØ3,5 26 4,6 0,08 24 240 2 ) 24,6 8.000 60 240 465 465 705 227 285 245 35 340 379 88 75 5 2xØ3,5 26 0,0 0,034 333 260 2 ) 3,4 7.000 75 260 50 50 780 237,5 320 265 40 370 40 07,5 90 6 2xØ4 36 6,3 0,047 455 280 2 ) 39,2 6.500 85 280 560 560 820 255 340 285 40 400 455 0 90 6 2xØ4 36 24, 0,066 565 Oil injection nozzles per half Quantity and size Total oil requirement per min at.5 bar pressure Mass moment of inertia J ) per 0 mm tube length, if L > Lmin Weight ) 6 RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256

Centres of Gravity, Torsional Spring Rates hub housing spacer max. bore d; d2 centre gear teeth centre coupling Determination of the centres of gravity Determination of the torsional spring rates Details for determining the centres of gravity X = Distance to centre of gravity, G X 2 = Distance to weight take-up, G 5 G G 2 = Weight of hub = Weight of housing Details for determining the torsional spring rates C T C T2 C T3 = torsional spring rate of the complete coupling, if E = E min = torsional spring rate per mm spacer length, if E > E min = torsional spring rate of the complete coupling, if E > E min G 3 G 4 = Weight of spacer, if E = E min = Extra weight of the spacer per mm length, if E > E min 2) Details based on bore d ; d 2 max G 5 = G 2 + G 3 if E = E 2 min or G 5 = G 2 + G 3 + (E E min ) G 2 2 4 if E > E min C T3 = E E min C T + C T2 Coupling Type Weights and Centre of Gravity Distances 2 ) Torsional Spring Rates 2 ) ZTNH + ZTKH bore d; d2 X X X2 G G G2 G3 G4 G5 CT CT2 CT3 Size max ZTNH ZTKH ZTNH ZTKH new old mm mm mm mm kg kg kg kg kg/mm kg MNm/rad MNm mm/rad MNm/rad 35 35 22,2 8,8 20,5 0,47 0,40 0,63 0,9 0,0058 0,429 92 40 40 24,3 20,4 2 0,6 0,53 0,77, 0,0063 0,540 5 45 0 45 23,8 9,7 8,5 0,89 0,8,3, 0,0058 0,484 89 55 20 55 29, 24,8 4,5,46,29,6,2 0,0065 0,739 28 63 30 63 34,2 29,9 20 2,7,93,9,4 0,0075,08 99 73 40 73 4,5 35,2 33,5 3,50 3,03 2,3,6 0,009,74 340 85 50 85 50,6 44,4 45,5 5,40 4,86 3,,9 0,02 3,02 69 00 60 00 58,8 52,6 5 8,46 7,60 4,2 3,3 0,08 4,88 62 5 70 5 67,2 60,9 63 2,33,3 5,8 4,0 0,025 8,20 258 30 80 30 76 67,8 68 8,83 6,9 8,7 6, 0,03,5 342 50 90 50 88,4 78, 84,5 29,00 25,8,5 7,3 0,04 8,0 5894 75 00 75 02,7 90, 99 45,40 40,2 7,5 3, 0,054 26,2 0056 205 0 205 22, 07,7 7 75,30 66,0 23,9 6,0 0,073 43,6 7765 240 240 4,6 26,5 3 2,0 26,5 35,8 9,8 0,094 66,3 34269 260 260 60,3 39, 56 60,6 39, 50,8 32,3 0, 85,6 4787 280 280 69,7 48,6 6 202,0 48,6 62,3 36,4 0,3 2,7 6698 Calculation acc. to above equation Calculation acc. to above equation RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256 7

Curved Tooth Couplings High-Speed Series ZTF and ZTFK Hardened and ground gear teeth Dimension table No. 243 / Series ZTF with cylindrical bore bore d bore d 2 Series ZTFK with tapered bore Series ZTFR with retaining ring For technical reasons, hydraulic fits require the supply of the pressure oil through the shaft. For coupling selection and size determination, please see page 5. Larger sizes on request. The coupling series ZTFR and ZTFKR are equipped with two Z-shaped retaining rings for end float limitation. ) Values of the complete coupling, series ZTF and ZTFK, with E = E min, H norm and bore d ; d 2 nom Coupling Normal Speed Dimensions Type cont. ZTF + operation bore ZTFK PKN nmax d; d2 n min nom max A B Cmin C D Emin G G Hnorm Hmax O P S Size kw min rpm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm litre kgm 2 kgm 2 kg 35 0, 40.000 8 35 55 7 82 90 73 45 00 50 60 50 78 0 42,5 xø2 4,5 0,005 0,000022 3,5 40 0,4 37.500 20 40 60 27 88 200 79 50 00 56 66 56 84 0 48,5 xø2 4,5 0,007 0,00003 4,2 45 0,9 32.000 35 45 7 43 04 222 9 55 2 55 73 65 00 0 58 2,5 xø2 4,5 0,03 0,000033 6,3 55 0,32 28.000 40 55 80 57 20 255 04 65 25 70 87 77 5 0 70 2,5 xø2 4,5 0,022 0,00007 8,4 63 0,5 25.000 45 63 90 72 35 290 7 75 40 80 0 88 30 0 80 2,5 xø2,5 7 0,034 0,0002,0 73 0,79 22.000 50 73 0 97 55 340 39 90 60 90 8 02 55 5 90 3 xø2,5 7 0,067 0,00022 6,5 85,23 20.000 55 85 20 22 74 390 56 05 80 00 33 20 70 5 06 3 xø3 0 0, 0,00042 23,3 00,92 8.000 65 00 30 247 98 440 76 20 200 20 56 40 85 5 26 3 xø3 0 0,20 0,00080 34,2 5 3,5 6.000 75 5 55 277 224 495 99 35 225 40 78 60 220 5 44 4 xø3,5 3 0,38 0,006 50 30 4,40 3.500 85 30 70 30 256 590 229 55 280 65 200 82 240 20 66 4 xø3,5 3 0,73 0,0026 74 50 7,00.500 00 50 200 345 288 675 263 80 35 90 230 20 280 25 92 4 2xØ3 20,3 0,0046 09 75 0,5 0.000 5 75 220 398 330 775 305 20 355 25 265 245 30 30 227 5 2xØ3 20 2,8 0,0080 66 205 5,8 9.000 35 205 270 465 390 890 348 245 400 255 35 290 380 35 270 5 2xØ3,5 26 6,0 0,04 264 Oil injection nozzles per half Quantity and size Total oil requirement per min at.5 bar pressure Mass moment of inertia J ) per 0 mm tube length, if L > Lmin Weight ) 8 RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256

Centres of Gravity, Torsional Spring Rates flange centre gear teeth housing hub sleeve nominal bore d; d2 centre coupling Determination of the centres of gravity Determination of the torsional spring rates Details for determining the centres of gravity X = Distance to centre of gravity, G 3 X 2 = Distance to weight take-up, G 6 G G 2 = Weight of flange = Weight of housing Details for determining the torsional spring rates C T C T2 C T3 = torsional spring rate of the complete coupling, if E = E min = torsional spring rate of hub sleeve per mm length, if E > E min = torsional spring rate of the complete coupling, if E > E min G 3 =G +G 2 G 4 G 5 = Weight of hub sleeve, if E = E min = Extra weight of hub sleeve per mm length, if i E > E min 2) Details based on H norm and bore d ; d 2 nom G 6 = G 2 4 if E = E min or G 6 = G 4 + (E E min ) G 2 2 5 if E > E min C T3 = E E min C T + C T2 Coupling Type Weights and Centre of Gravity Distances 2) Torsional Spring Rates 2) ZTF + ZTFK bore d; d2 X X2 G G2 G3 G4 G5 G6 CT CT2 CT3 Size nom mm mm mm kg kg kg kg kg/mm kg MNm/rad MNm mm/rad MNm/rad 35 35 38,0 6,5 0,5,5 0,5 0,0040 0,22 22 40 40 40,9 67,2 0,64,84 0,56 0,0045 0,28 32 45 45 49,2 78,5,8 0,9 2,7 0,86 0,0050 0,36 33 55 55 56,8 90,5 2,4,2 3,6,8 0,0065 0,58 72 63 63 63,3 02,5 3,2,4 4,6,72 0,0084 0,85 2 73 73 73,8 22 5,,8 6,9 2,9 0,024,3 223 85 85 8,4 38 7, 2,2 9,3 4,7 0,0202 2, 427 00 00 89,8 56 0 3, 3, 6,8 0,0259 3,7 806 5 5 03 74,5 5 4,3 9,3, 0,0379 5,7 584 30 30 8 20,5 22 6,6 28,6 6,5 0,0435 7,9 260 50 50 32 232 33 8,4 4,4 24,8 0,0588 2,5 4660 75 75 52,3 269 50 3 63 38,8 0,0808 9,6 80 205 205 73,2 309 84 8 02 57,8 0,0970 30,4 4037 Calculation acc. to above equation Calculation acc. to above equation RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256 9

Curved Tooth Couplings High-Speed Series ZTA and ZTAK Hardened and ground gear teeth Dimension table No. 243 2/ Series ZTA with cylindrical bore bore d bore d 2 Series ZTAK with tapered bore In the case of difficult installation conditions, the use of a coupling with split hub sleeve is recommended. Two options are available: Series ZTAF and ZTAKF with split hub sleeve for easy disconnection of the machines and simple installation, even if the equipment has already been aligned, and Series ZTAH and ZTAKH with split hub sleeve and spacer to accommodate larger shaft distances. For coupling selection and size determination, please see page 5. For technical reasons, hydraulic fits require the supply of the pressure oil through the shaft. Larger sizes on request. ) Values of the complete coupling, series ZTA with E = E min, H norm and bore d ; d 2 nom Coupling Normal Speed Dimensions Type cont. ZTA + operation bore ZTAK PKN nmax d; d2 Size n min nom max B Cmin C D Emin G G Hnorm O P S new old kw min rpm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm litre kgm 2 kgm 2 kg 35 0, 40.000 8 35 55 82 38 05 45 228 50 60 50 0 42,5 xø2 4,5 0,0025 0,000022 2,6 40 0,4 37.500 20 40 60 88 328 50 228 56 66 56 0 48,5 xø2 4,5 0,0034 0,00003 3, 45 0 0,9 32.000 35 45 7 04 340 7 55 230 55 73 65 0 58 2,5 xø2 4,5 0,0073 0,000033 5,0 55 20 0,32 28.000 40 55 80 20 363 29 65 233 70 87 77 0 70 2,5 xø2 4,5 0,04 0,00007 7,0 63 30 0,5 25.000 45 63 90 35 402 42 75 252 80 0 88 0 80 2,5 xø2,5 7 0,023 0,0002 9, 73 40 0,79 22.000 50 73 0 55 439 6 90 259 90 8 02 5 90 3 xø2,5 7 0,045 0,00022 4, 85 50,23 20.000 55 85 20 74 488 79 05 278 00 33 20 5 06 3 xø3 0 0,086 0,00042 22,0 00 60,92 8.000 65 00 30 98 554 98 20 34 20 56 40 5 26 3 xø3 0 0,5 0,00080 29,8 5 70 3,5 6.000 75 5 55 224 626 22 35 356 40 78 60 5 44 4 xø3,5 3 0,30 0,006 47 30 80 4,40 3.500 85 30 70 256 704 247 55 394 65 200 82 20 66 4 xø3,5 3 0,58 0,0026 67 50 90 7,00.500 00 50 200 288 799 289 80 439 90 230 20 25 92 4 2xØ3 20, 0,0046 99 75 00 0,5 0.000 5 75 220 330 926 332 20 506 25 265 245 30 227 5 2xØ3 20 2,2 0,0080 55 205 0 5,8 9.000 35 205 270 390 094 379 245 604 255 35 290 35 270 5 2xØ3,5 26 4,9 0,04 245 Oil injection nozzles per half Quantity and size Total oil requirement per min at.5 bar pressure Mass moment of inertia J ) per 0 mm sleeve length, if L > Lmin Weight ) 0 RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256

Centres of Gravity, Torsional Spring Rates housing centre gear teeth hub sleeve centre coupling nominal bore d; d2 Determination of the centres of gravity Determination of the torsional spring rates Details for determining the centres of gravity X = Distance to centre of gravity, G X 2 = Distance to weight take-up, G 4 G = Weight of housing Details for determining the torsional spring rates C T C T2 = torsional spring rate of the complete coupling, if E = E min = torsional spring rate per mm hub sleeve length, if E > E min G 2 G 3 = Weight of hub sleeve, if E = E min = Extra weight of hub sleeve per mm length, if E > E min C T3 = torsional spring rate of the complete coupling if E > E min 2) Details based on H norm and bore d ; d 2 nom G 4 = G 2 2 if E = E min or G 4 = G 2 + (E E min ) G 2 2 3 if E > E min C T3 = E E min C T + C T2 Coupling Type Weights and Centre of Gravity Distances 2 ) Torsional Spring Rates 2 ) ZTA + ZTAK bore d; d2 X X X2 G G G2 G3 G4 CT CT2 CT3 Size nom ZTA ZTAK ZTA ZTAK new old mm mm mm kg kg kg kg kg/mm kg MNm/rad MNm mm/rad MNm/rad 35 35 5,9 52,2 93,5 0,92 0,89 0,78 0,0040 0, 22 40 40 53,8 54 99,,06 0,90 0,0045 0,6 32 45 0 45 58 58,6 04,5,9,82,8 0,0050 0,9 33 55 20 55 64, 64,3 5,5 2,7 2,58,60 0,0065 0,37 72 63 30 63 69, 69, 27,5 3,4 3,3 2,32 0,0084 0,56 2 73 40 73 76,5 76,2 44 5,2 4,9 3,56 0,024 0,87 223 85 50 85 84,8 84,2 6 8 7,6 5,75 0,0202,54 427 00 60 00 9,3 90,2 78 0,5 0 8,56 0,0259 2,3 806 5 70 5 0,8 00,6 96,5 6 5 4,4 0,0379 3,7 584 30 80 30 5, 3,4 29,5 24 23 9,7 0,0435 5,7 260 50 90 50 29,4 26,8 258 35 33 29 0,0588 8,6 4660 75 00 75 47,2 43,5 296 54 50 46,2 0,0808 3,2 80 205 0 205 65,9 60,8 340 87 80 70,8 0,0970 9,9 4037 Calculation acc. to above equation Calculation acc. to above equation RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256

Curved Tooth Couplings High-Speed Series ZTN and ZTK Hardened and ground gear teeth Dimension table No. 243 3/ Series ZTN with cylindrical bore Series ZTK with tapered bore dismounting dimension bore d bore d 2 bore d; d 2 Larger sizes on request. The dismounting dimension F is required to allow vertical installation and removal of the machines. For technical reasons, hydraulic fits require the supply of the pressure oil through the shaft. For coupling selection and size determination, please see page 5. Mass moments of inertia J 2 = mass moment of inertia per 0 mm sleeve length, if E > E min ) Values of the complete coupling, series ZTN, with H norm and bore d ; d 2 max Coupling Normal Speed Dimensions Type cont. ZTN + operation bore ZTK PKN nmax d; d2 Size n min max B Cnorm D D E F G G Hnorm J N S new old kw min rpm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm litre kgm 2 kgm 2 kg 35 0, 40.000 8 35 82 95 45 35 5 30 50 60 77 9 54,5 xø2 4,5 0,005 0,00009,5 40 0,4 37.500 20 40 88 05 50 40 5 40 56 66 87 9 63,5 xø2 4,5 0,0024 0,000,9 45 0 0,9 32.000 35 45 04 20 55 45 0 68 64 74 28 03 2,5 xø2 4,5 0,0050 0,0009 3,3 55 20 0,32 28.000 40 55 20 40 65 55 0 68 77 87 38 2,5 xø2 4,5 0,00 0,00030 4,8 63 30 0,5 25.000 45 63 35 60 75 65 0 69 88 0 49 5,5 20 2,5 xø2,5 7 0,07 0,00049 6,7 73 40 0,79 22.000 50 73 55 90 90 75 0 62 02 8 57 6,5 23 3 xø2,5 7 0,033 0,00075 0,0 85 50,23 20.000 55 85 74 220 05 90 0 55 9 33 65 27,5 29 3 xø3 0 0,060 0,00 5,0 00 60,92 8.000 65 00 98 250 20 05 0 63 40 56 88 3 48 3 xø3 0 0,2 0,008 22,0 5 70 3,5 6.000 75 5 224 285 35 20 5 63 60 78 208 38,5 59 4 xø3,5 3 0,22 0,0029 32 30 80 4,40 3.500 85 30 256 325 55 35 5 79 82 200 244 40,5 89 4 xø3,5 3 0,46 0,0049 50 50 90 7,00.500 00 50 288 375 80 55 5 78 20 230 268 53,5 206 4 2xØ3 20 0,83 0,0083 74 75 00 0,5 0.000 5 75 330 440 20 80 20 89 245 265 34 63 242 5 2xØ3 20,8 0,05 5 205 0 5,8 9.000 35 205 390 50 245 20 20 94 290 35 354 78 276 5 2xØ3,5 26 3,9 0,024 85 Oil injection nozzles per half Quantity and size Total oil requirement per min at.5 bar pressure Mass moment of inertia J ) per 0 mm sleeve length, if E > Emin Weight ) 2 RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256

Centres of Gravity, Torsional Spring Rates hub housing max. bore d; d2 centre gear teeth centre coupling Determination of the centres of gravity Determination of the torsional spring rates Details for determining the centres of gravity X = Distance to centre of gravity, G X 2 = Distance to weight take-up, G 4 G = Weight of hub Details for determining the torsional spring rates C T C T2 C T3 = torsional spring rate of the complete coupling, if H = H norm = torsional spring rate per mm sleeve length, if H > H norm = torsional spring rate of the complete coupling, if H > H norm G 2 G 3 = Weight of sleeve, if H = H norm = Extra weight of the sleeve per mm length, if H > H norm 2) Details based on H norm and bore d ; d 2 max G 4 = G 2 2 if H = H norm or G 4 = G 2 + (H H norm ) G 2 2 3 if H > H norm C T3 = H H norm C T + C T2 Coupling Type Weights and Centre of Gravity Distances 2 ) Torsional Spring Rates 2 ) ZTN + ZTK bore d; d2 X X X2 G G G2 G3 G4 CT CT2 CT3 Size max ZTN ZTK ZTN ZTK new old mm mm mm kg kg kg kg kg/mm kg MNm/rad MNm mm/rad MNm/rad 35 35 22,2 8,8 20,5 0,47 0,40 0,55 0,0058 0,6 92 40 40 24,3 20,4 2,0 0,6 0,53 0,69 0,0063 0,78 5 45 0 45 23,8 9,7 8,5 0,89 0,8,4 0,0075,30 93 55 20 55 29, 24,8 4,5,46,29,85 0,0087,70 300 63 30 63 34,2 29,9 20,0 2,7,93 2,42 0,04 2,50 497 73 40 73 4,5 35,2 33,5 3,50 3,03 3 0,03 3,40 760 85 50 85 50,6 44,4 45,5 5,40 4,86 4 0,047 4,70 083 00 60 00 58,8 52,6 5,0 8,46 7,60 5 0,09 7,2 823 5 70 5 67,2 60,9 63,0 2,33,3 7,7 0,0244 0,2 297 30 80 30 76 67,8 68,0 8,83 6,9,9 0,030 4,9 4936 50 90 50 88,4 78, 84,5 29,00 25,8 6,0 0,047 2,7 840 75 00 75 02,7 90, 99,0 45,40 40,2 23,8 0,0558 32,2 4728 205 0 205 22, 07,7 7,0 75,30 66,0 34,4 0,066 52, 24552 Calculation acc. to above equation Calculation acc. to above equation RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256 3

Curved Tooth Couplings High-Speed Series TF Hardened gear teeth Dimension table No. 243 4/ bore d bore d 2 For coupling selection and size determination, please see page 5. Larger sizes on request. The couplings of the series TF can also be supplied with two Z-shaped retaining rings for end float limitation. These coupling types are denominated with TFR. ) Value of the complete coupling, series TF, with E = E min, H norm and bore d ; d 2 nom. Coupling Normal Speed Dimensions Type cont. TF operation bore PKN nmax d; d2 n min nom max A B Cmin C D Emin G G Hnorm Hmax S Size kw min rpm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm litre kgm 2 kgm 2 kg 30 0,089 25.000 2 50 55 20 85 200 79 50 00 46 53 80 85,5 xø2 4,5 0,008 0,000023 6,5 40 0,6 22.500 22 55 65 45 05 232 95 60 2 60 72 90 05,5 xø2 4,5 0,024 0,000065 0,6 50 0,287 20.000 22 60 75 65 25 265 07 70 25 70 88 00 25,5 xø2 4,5 0,045 0,000098 5 60 0,560 8.000 28 70 90 200 45 300 22 80 40 86 05 2 48,5 xø2,5 7 0,08 0,00024 25 70 0,893 6.000 28 80 00 25 68 340 38 90 60 00 20 25 68 2 xø2,5 7 0,50 0,00046 3 80,278 4.000 32 90 5 235 85 380 5 00 80 5 35 40 85 2 xø3 0 0,235 0,00072 40 90,803 2.500 32 00 25 270 20 420 67 0 200 30 55 60 20 2 xø3 0 0,393 0,003 6 00 2,240.200 55 0 40 275 224 465 77 20 225 45 70 80 224 2 xø3,5 3 0,525 0,005 69 0 3,238 0.000 65 25 60 305 245 50 90 30 250 58 85 200 245 2,5 xø3,5 3 0,975 0,0022 95 25 4,498 9.000 75 40 80 335 268 580 220 50 280 85 205 225 272 3 xø3,5 3,59 0,0040 27 40 6,370 8.000 85 60 200 380 305 645 24 65 35 200 235 250 305 3 2xØ3 20 2,83 0,0059 80 60 0,063 7.00 20 80 225 430 347 735 279 90 355 225 265 280 348 4 2xØ3 20 5,43 0,0086 265 80 4,368 6.300 40 200 250 470 392 840 38 220 400 250 300 35 392 4 2xØ3,5 26 8,75 0,03 360 200 20,25 5.600 60 220 280 545 437 940 357 245 450 280 340 350 445 4 2xØ3,5 26 6,60 0,022 525 Oil injection nozzles per half Quantity and size Total oil requirement per min at.5 bar pressure Mass moment of inertia J ) per 0 mm tube length, if E > Emin Weight ) 4 RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256

Centres of Gravity, Torsional Spring Rates flange housing hub sleeve nominal bore d; d2 centre gear teeth centre coupling Determination of the centres of gravity Determination of the torsional spring rates Details for determining the centres of gravity X = Distance to centre of gravity, G 3 X 2 = Distance to weight take-up, G 6 G G 2 = Weight of flange = Weight of housing Details for determining the torsional spring rates C T C T2 C T3 = torsional spring rate of the complete coupling, if E = E min = torsional spring rate of hub sleeve per mm length, if E > E min = torsional spring rate of the complete coupling, if E > E min G 3 = G + G 2 G 4 G 5 = Weight of hub sleeve if E = E min = Extra weight of hub sleeve per mm length, if E > E min 2) Details based on H norm and bore d ; d 2 nom G 6 = G 2 4 if E = E min or G 6 = G 4 + (E E min ) G 2 2 5 if E > E min C T3 = E E min C T + C T2 Coupling Type Weights and Centre of Gravity Distances 2 ) Torsional Spring Rates 2 ) TF bore d; d2 X X2 G G2 G3 G4 G5 G6 CT CT2 CT3 Size nom mm mm mm kg kg kg kg kg/mm kg MNm/rad MNm mm/rad MNm/rad 30 50 4,4 65,7, 2,8 0,89 0,005 0,28 23,2 40 55 49 76 2,8,6 4,4,5 0,009 0,68 66,2 50 60 56,5 88 4,3 2,2 6,5 2,6 0,0 0,94 99 60 70 69,7 00,5 6 3,6 9,6 4,5 0,05,92 239 70 80 73,3 2,5 9 4, 3, 6 0,022 3,06 460,9 80 90 78,9 24,7 4,6 6,3 9, 0,026 4,37 729 90 00 87, 39,5 7 7,3 24,3 2,8 0,036 7,4 280 00 0 89,4 48,5 22 7,4 29,4 3,4 0,033 7,49 544 0 25 97,5 6 27,5 9,0 36,5 8,6 0,04 9,95 2270 25 40 0, 86 39 0,8 49,8 24,8 0,053 5,34 4025 40 60 22, 204 5 7,5 68,5 38 0,068 20,34 5966 60 80 43 235,5 78 27 05 54 0,078 27,0 874 80 200 54,6 268 4 33 47 77 0,092 34,97 2854 200 220 74,7 30 64 5 25 4 0,3 54,53 22068 Calculation acc. to above equation Calculation acc. to above equation RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256 5

Curved Tooth Couplings High-Speed Series TFH Hardened gear teeth Dimension table No. 243 5/ bore d bore d 2 For coupling selection and size determination, please see page 5. Larger sizes on request. ) Values of the complete coupling, series TFH, with E = E min, H norm and bore d ; d 2 nenn Coupling Normal Speed Dimensions Type cont. TFH operation bore PKN nmax d; d2 n min nom max A B Cmin C C2 D Emin G G Hnorm Hmax S Size kw min rpm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm litre kgm 2 kgm 2 kg 30 0,089 25.000 2 50 55 20 85 200 79 03 50 00 46 53 80 85,5 xø2 4,5 0,0075 0,000023 5,5 40 0,6 22.500 22 55 65 45 05 232 95 25 60 2 60 72 90 05,5 xø2 4,5 0,08 0,000065 9,0 50 0,287 20.000 22 60 75 65 25 265 07 39 70 25 70 88 00 25,5 xø2 4,5 0,035 0,000098 3,5 60 0,560 8.000 28 70 90 200 45 300 22 58 80 40 86 05 2 48,5 xø2,5 7 0,080 0,00024 2 70 0,893 6.000 28 80 00 25 68 340 38 80 90 60 00 20 25 68 2 xø2,5 7 0,25 0,00046 28 80,278 4.000 32 90 5 235 85 380 5 96 00 80 5 35 40 85 2 xø3 0 0,200 0,00072 37 90,803 2.500 32 00 25 270 20 420 67 26 0 200 30 55 60 20 2 xø3 0 0,360 0,003 54 00 2,240.200 55 0 40 275 224 465 77 226 20 225 45 70 80 224 2 xø3,5 3 0,475 0,005 64 0 3,238 0.000 65 25 60 305 245 50 90 242 30 250 58 85 200 245 2,5 xø3,5 3 0,825 0,0022 85 25 4,498 9.000 75 40 80 335 268 580 220 280 50 280 85 205 225 272 3 xø3,5 3,38 0,0040 6 40 6,370 8.000 85 60 200 380 305 645 24 307 65 35 200 235 250 305 3 2xØ3 20 2,40 0,0059 60 60 0,063 7.00 20 80 225 430 347 735 279 356 90 355 225 265 280 348 4 2xØ3 20 4,65 0,0086 240 80 4,368 6.300 40 200 250 470 392 840 38 404 220 400 250 300 35 392 4 2xØ3,5 26 7,88 0,03 335 200 20,25 5.600 60 220 280 545 437 940 357 455 245 450 280 340 350 445 4 2xØ3,5 26 5,63 0,022 490 Oil injection nozzles per half Quantity and size Total oil requirement per min at.5 bar pressure Mass moment of inertia J ) per 0 mm tube length, if E > Emin Weight ) 6 RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256

Centres of Gravity, Torsional Spring Rates housing hub sleeve housing flange nominal bore d nominal bore d2 centre gear teeth centre coupling centre gear teeth Determination of the centres of gravity Determination of the torsional spring rates Details for determining the centres of gravity X = Distance to centre of gravity G X 2 X 3 X 4 G G 2 G 3 = Distance to weight take-up = Distance to centre of gravity = Distance to weight take-up = Weight of housing = Weight of housing = Weight of flange Details for determining the torsional spring rates C T C T2 C T3 = torsional spring rate of the complete coupling, if E = E min = torsional spring rate of hub sleeve per mm length, if E > E min = torsional spring rate of the complete coupling if E > E min G 4 = G 2 + G 3 G 5 G 6 = Weight of hub sleeve, if E = E min = Extra weight of hub sleeve per mm length, if E > E min 2 ) Details based on H norm and bore d ; d 2 nom G 7 = G 2 5 if E = E min or G 7 = G 5 + (E E min ) G 2 2 6 if E > E min C T3 = E E min C T + C T2 Coupling Weights and Centre of Gravity Distances 2) Torsional Spring Rates 2) Type bore TFH d; d2 nom X X2 X3 X4 G G2 G3 G4 G5 G6 G7 CT CT2 CT3 Size mm mm mm mm mm kg kg kg kg kg kg/mm kg MNm/rad MNm mm/rad MNm/rad 30 50 36 65 46,7 89,7,3,7 3 0,76 0,005 0,36 23,2 40 55 43,5 76 55,6 06 2,8 2 2,9 4,9,2 0,009 0,87 66,2 50 60 50,7 88 64 20 4,3 2,8 4 6,8 2,3 0,0,24 99 60 70 59,8 00,5 74,2 36,5 6 4,6 6,5, 3,9 0,05 2,55 239 70 80 67,6 2,5 83,3 54,5 9 5,4 8 3,4 5,3 0,022 3,9 460,9 80 90 72,4 24 89 69,7 6, 0,8 6,9 7,9 0,026 5,2 729 90 00 79,7 39,5 98 88,5 7 9,6 6,5 26, 0,036 8,46 280 00 0 8,8 48,5 99,8 97,5 22 9,8 20 29,8,7 0,033 8,73 544 0 25 87,3 6 07,9 23 27,5,8 28 39,8 6,5 0,04,47 2270 25 40 00 86 22,8 246 39 5 39 54 2,7 0,053 7,04 4025 40 60 09,5 204 30,3 270 5 23 52 75 34 0,068 23,8 5966 60 80 28,4 235,5 58,3 32,5 78 35 75 0 48 0,078 3,55 874 80 200 46,2 268 77 354 4 45 06 5 69 0,092 40,8 2854 200 220 66, 30 96,7 399 64 69 50 29 0 0,3 6,36 22068 Calculation acc. to above equation Calculation acc. to above equation RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256 7

Curved Tooth Couplings High-Speed Series THB Hardened gear teeth Dimension table No. 243 6/ dismounting dimension bore d bore d 2 For coupling selection and size determination, please see page 5. Larger sizes on request. ) Values of the complete coupling with bore d ; d 2 max Coupling Normal Speed Dimensions Type cont. THB operation bore PKN nmax d; d2 B C D E F G G H J N S n min max Size kw min rpm mm mm mm mm mm mm mm mm mm mm mm mm mm mm litre MNm/rad kgm 2 kg 30 0,089 25.000 2 30 85 05 50 5 0 45 55 59 23 30,5 xø2 4,5 0,69 0,0075 2 40 0,6 22.500 22 42 05 25 60 5 0 62 72 65 30 30,5 xø2 4,5,73 0,008 3,6 50 0,287 20.000 22 55 25 45 70 5 5 77 88 70 37,5 3,5 xø2 4,5 3,23 0,025 6 60 0,560 8.000 28 65 48 66 80 6 5 92 05 80 43 4,5 xø2,5 7 5,9 0,0275 9,4 70 0,893 6.000 28 75 68 86 90 6 0 05 20 95 45,5 49 2 xø2,5 7 8,92 0,050 3,4 80,278 4.000 32 85 85 206 00 6 0 20 35 00 53 5 2 xø3 0 2,84 0,083 8,2 90,803 2.500 32 00 20 228 0 8 0 40 55 0 59 58 2 xø3 0 2,25 0,60 27,5 00 2,240.200 55 0 224 248 20 8 0 54 70 20 64 63 2 xø3,5 3 27,08 0,225 33 0 3,238 0.000 65 20 245 268 30 8 0 68 85 30 69 70 2,5 xø3,5 3 35,58 0,35 42 25 4,498 9.000 75 30 272 30 50 0 0 86 205 50 80 84 3 xø3,5 3 47,38 0,60 60 40 6,370 8.000 85 50 305 340 65 0 0 20 235 65 87,5 94 3 2xØ3 20 69,94,5 84 60 0,063 7.00 20 70 348 392 90 2 0 240 265 90 0 08 4 2xØ3 20 0,88 2,08 25 80 4,368 6.300 40 90 392 452 220 2 0 270 300 220 6 24 4 2xØ3,5 26 43,83 3,83 85 200 20,25 5.600 60 20 445 504 245 4 5 30 340 245 29,5 42 4 2xØ3,5 26 222,40 7,38 280 Oil injection nozzles per half Quantity and size Total oil requirement per min at.5 bar pressure Torsional spring rate ) CT Mass moment of inertia J ) Weight ) 8 RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256

Curved Tooth Couplings High-Speed Series TSB Dimension table No. 243 7/ dismounting dimension bore d bore d 2 Sizes 30 to 200 are available from stock Larger sizes on request. For coupling selection and size determination, please see page 5. ) Values of the complete coupling with bore d ; d 2 max Coupling Normal Speed Dimensions Type cont. TSB operation bore PKN nmax d; d2 A B C D E F G G H J J2 N n min max Size kw min rpm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm litre MNm/rad kgm 2 kg 30 0,072 4.000 2 30 5 85 06 50 5 20 44 54 00 6 75 xø2 4,5 0,50 0,0055 4 40 0,28 2.500 22 40 45 05 25 60 5 20 58 7 2,5 2,5 92 xø2 4,5,29 0,045 6,9 50 0,252.200 22 50 65 25 45 70 5 20 73 86 4,5 2,5 09 xø2 4,5 2,62 0,0288 0,5 60 0,438 0.000 28 60 95 45 66 80 6 25 88 03 64 0,5,5 28 xø2 4,5 4,39 0,068 6,3 70 0,78 9.000 28 70 25 68 86 90 6 25 98 6 84 2 44 xø2 4,5 6,50 0,2 23 80 0,998 8.000 32 80 230 85 206 00 6 25 8 36 204 2 6 xø2 4,5 9,96 0,63 29,7 90,435 7.00 32 90 265 20 229,5 0 8 30 28 46 229 0,5 78 xø2 4,5 3,87 0,326 44 00 2,03 6.300 55 00 270 224 248,5 20 8 30 38 58 247,5 92 xø2,5 7 5,7 0,48 5,5 0 2,520 6.000 65 0 305 245 268 30 8 30 53 77 266 2 207 xø2,5 7 2,77 0,69 69 25 4,025 5.600 75 25 330 268 30 50 0 35 73 98 306 3 238 xø2,5 7 26,67,06 90 40 5,670 5.000 85 40 375 305 34 65 0 35 98 224 340 263 2xØ2 9 43,2 2 32 60 8,085 4.750 20 60 425 347 392 90 2 40 228 260 388 2 2 306 2xØ2 9 62,73 3,8 95 80,305 4.500 40 80 470 392 452 220 2 40 258 290 438 7 7 350 2xØ2,5 4 89,02 6,65 276 200 6,00 4.250 60 200 535 437 504 245 4 45 288 330 492 6 6 39 2xØ2,5 4 5,28,75 389 220 22,400 4.000 80 220 580 495 556 270 6 20 330 365 500 28 28 43 2xØ2,5 4 64,85 9,65 540 240 28,700 3.750 200 240 645 535 598 290 8 30 355 45 540 29 29 446 2xØ3 20 98,7 29,74 690 260 35,875 3.550 220 260 680 580 640 30 20 30 385 425 580 30 30 48 2xØ3 20 26,05 42,7 848 280 44,975 3.350 240 280 745 630 702 340 22 30 45 460 640 3 3 534 2xØ4 36 29,69 62,7 080 300 56,700 3.50 260 300 775 660 744 360 24 35 445 490 680 32 32 569 2xØ4 36 393,66 86,6 275 320 7,750 3.000 280 320 825 70 786 380 26 40 480 530 720 33 33 604 3xØ4 54 509,68 5,96 565 Oil injection nozzles per half Quantity and size Total oil requirement per min at.5 bar pressure Torsional spring rate ) CT Mass moment of inertia J ) Weight ) RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256 9

Curved Tooth Couplings High-Speed Series TSR Dimension table No. 243 8/ dismounting dimension dismounting dimension bore d bore d 2 Sizes 30 to 200 are available from stock. Larger types on request. The coupling series TSR is equipped with a U-shaped retaining ring for end float limitation. The axial clearances a and b can be altered if required by the service conditions. The dismounting dimension F is required to allow vertical installation and removal of the machines and for installing the retaining ring. For coupling selection and size determination, please see page 5. ) Values of the complete coupling with bore d ; d 2 max Coupling Normal Speed Dimensions Type cont. TSR operation bore PKN nmax d; d2 A B C D E F G G H J N n min max Size kw min rpm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm litre MNm/rad kgm 2 kg 30 0,072 4.000 2 30 5 85 05 50 5 20 44 54 00 2,5 75 0,5 xø2 4,5 0,50 0,0056 4, 40 0,28 2.500 22 40 45 05 25 60 5 20 58 7 2 2 92 0,5 xø2 4,5,29 0,047 7,0 50 0,252.200 22 50 65 25 45 70 5 20 73 86 4 2 09 0,5 xø2 4,5 2,62 0,029 0,6 60 0,438 0.000 28 60 95 45 66 80 6 25 88 03 64 28 0,5 xø2 4,5 4,39 0,063 6,5 70 0,78 9.000 28 70 25 68 86 90 6 25 98 6 84 44 0,5 xø2 4,5 6,50 0, 23,5 80 0,998 8.000 32 80 230 85 206 00 6 25 8 36 204 6 0,5 xø2 4,5 9,96 0,68 30,3 90,435 7.00 32 90 265 20 228 0 8 30 28 46 229 78 0,5 xø2 4,5 3,87 0,333 45 00 2,03 6.300 55 00 270 224 248 20 8 30 38 58 247 0,5 92,0 xø2,5 7 5,7 0,425 53 0 2,520 6.000 65 0 305 245 268 30 8 30 53 77 266 207,0 xø2,5 7 2,77 0,7 7 25 4,025 5.600 75 25 330 268 30 50 0 35 73 98 306 2 238,0 xø2,5 7 26,67,08 92 40 5,670 5.000 85 40 375 305 340 65 0 35 98 224 340 263,0 2xØ2 9 43,2 2,05 35 60 8,085 4.750 20 60 425 347 392 90 2 40 228 260 388 2 306,0 2xØ2 9 62,73 3,88 98 80,305 4.500 40 80 470 392 452 220 2 40 258 290 438 7 350,0 2xØ2,5 4 89,02 6,78 28 200 6,00 4.250 60 200 535 437 504 245 4 45 288 330 492 6 39,0 2xØ2,5 4 5,28,93 394 220 22,400 4.000 80 220 580 495 556 270 6 20 330 365 500 28 43,5 2xØ2,5 4 64,85 20,3 550 240 28,700 3.750 200 240 645 535 598 290 8 30 355 45 540 29 446,5 2xØ3 20 98,7 30,38 703 260 35,875 3.550 220 260 680 580 640 30 20 30 385 425 580 30 48,5 2xØ3 20 26,05 43,25 865 280 44,975 3.350 240 280 745 630 702 340 22 30 45 460 640 3 534,5 2xØ4 36 29,69 64,00 00 300 56,700 3.50 260 300 775 660 744 360 24 35 445 490 680 32 569,5 2xØ4 36 393,66 84,3 305 320 7,750 3.000 280 320 825 70 786 380 26 40 480 530 720 33 604,5 3xØ4 54 509,68 8,50 595 Axial clearances a and b Oil injection nozzles per half Quantity and size Total oil requirement per min at.5 bar pressure Torsional spring rate ) CT Mass moment of inertia J ) Weight ) 20 RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256

Curved Tooth Couplings High-Speed Series TSBL Dimension table No. 243 9/ dismounting dimension dismounting dimension bore d bore d 2 Coupling Torsional Spring Rate Type TSBL CT ) CT2 Size MNm/rad MNm mm/rad 30 0,44 86 40,03 274 50 2,07 537 60 3,36 898 70 4,93 335 80 7,48 895 90 9,89 2638 00,84 3557 0 4,94 4690 25 9,30 6909 40 27,83 8928 60 39,57 4088 80 59,05 2328 200 78, 36882 ) Values of the complete coupling with E = E min and bore d ; d 2 max C T2 = torsional spring rate per mm spacer length C T3 = torsional spring rate of the complete coupling, if E > E min Sizes 30 to 200 are available from stock, without spacer. Larger types on request. For coupling selection and size determination, please see page 5. C T3 = E E min + C T C T2 Coupling Normal Speed Dimensions Type cont. TSBL operation bore PKN nmax d; d2 A B Cmin C D Emin F G G J K Lmin N n min max Size kw min rpm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm litre kgm 2 kgm 2 kg kg 30 0,072 4.000 2 30 5 85 82 50 50 82 20 44 54 3,5 3,5 75 35 xø2 4,5 0,009 0,0008 5,8 0,2 40 0,28 2.500 22 40 45 05 209 60,5 60 89 25 58 7 6,5 7 75 43,5 xø2 4,5 0,0228 0,00027 9,6 0,3 50 0,252.200 22 50 65 25 229 70,5 70 89 25 73 86 6,5 7 75 52 xø2 4,5 0,0427 0,00053 3,8 0,8 60 0,438 0.000 28 60 95 45 267 82 80 07 30 88 03 6,5 8,5 90 6 xø2 4,5 0,0929 0,00089 2,6 0,22 70 0,78 9.000 28 70 25 68 288 92 90 08 30 98 6 7 9 90 69 xø2 4,5 0,54 0,003 29,3 0,25 80 0,998 8.000 32 80 230 85 308 02 00 08 35 8 36 7 9 90 77,5 xø2 4,5 0,222 0,009 36,5 0,28 90,435 7.00 32 90 265 20 349 4,5 0 29 40 28 46 7,5 2 05 85 xø2 4,5 0,438 0,0026 54 0,3 00 2,03 6.300 55 00 270 224 369 23,5 20 29 45 38 58 8,5 2 05 92 xø2,5 7 0,538 0,0035 62 0,36 0 2,520 6.000 65 0 305 245 49 33 30 59 50 53 77 9 2 35 99,5 xø2,5 7 0,943 0,0046 86 0,40 25 4,025 5.600 75 25 330 268 465 53 50 65 45 73 98 2 5 35 4 xø2,5 7,40 0,0068 08 0,47 40 5,670 5.000 85 40 375 305 505 70 65 75 50 98 224 0 5 45 26,5 2xØ2 9 2,635 0,0088 59 0,53 60 8,085 4.750 20 60 425 347 594 94 90 24 55 228 260 3 7 80 47 2xØ2 9 5,064 0,04 238 0,70 80,305 4.500 40 80 470 392 654 29 220 24 55 258 290 8 7 80 69 2xØ2,5 4 8,44 0,023 324 0,79 200 6,00 4.250 60 200 535 437 740 246 245 250 65 288 330 9 20 20 88,5 2xØ2,5 4 5,569 0,036 477,2 220 22,400 4.000 80 220 580 495 796 265 270 256 40 330 365 28 23 20 98,5 2xØ2,5 4 240 28,700 3.750 200 240 645 535 862 287 290 282 45 355 45 29 26 230 24 2xØ3 20 260 35,875 3.550 220 260 680 580 906 308 30 286 45 385 425 30 28 230 230,5 2xØ3 20 Values upon request 280 44,975 3.350 240 280 745 630 994 34 340 34 50 45 460 3 32 250 256 2xØ4 36 300 56,700 3.50 260 300 775 660 038 362 360 38 55 445 490 32 34 250 272,5 2xØ4 36 320 7,750 3.000 280 320 825 70 082 383 380 322 60 480 530 33 36 250 289 3xØ4 54 Oil injection nozzles per half Quantity and size Total oil requirement per min at.5 bar pressure Mass moment of inertia J ) per 0 mm tube length, if L > Lmin Weight ) Extra weight per 0 mm spacer length RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256 2

Curved Tooth Couplings High-Speed Series TRL Dimension table No. 243 20/ dismounting dimension bore d bore d 2 dismounting dimension Coupling Torsional Spring Rate Type TRL CT ) CT2 Size MNm/rad MNm mm/rad 30 0,44 86 40,03 274 50 2,07 537 60 3,36 898 70 4,93 335 80 7,48 895 90 9,89 2638 00,84 3557 0 4,94 4690 25 9,30 6909 40 27,83 8928 60 39,57 4088 80 59,05 2328 200 78, 36882 Sizes 30 to 200 are available from stock, without spacer. Larger types on request. The coupling series TRL is equipped with two Z-shaped retaining rings for end float limitation. The axial clearances a and b can be altered if required by the service conditions. The speed n max depends on the weight and length of the spacer. The dismounting dimension F is required to allow vertical installation and removal of the machines and for installing the retaining rings. For coupling selection and size determination, please see page 5. ) Values of the complete coupling with E = E min and bore d ; d 2 max C T2 = torsional spring rate per mm spacer length C T3 = torsional spring rate of the complete coupling, if E > E min C T3 = E E min + C T C T2 Coupling Normal Speed Dimensions Type cont. TRL operation bore PKN nmax d; d2 A B C Cmin D Emin F G G J K Lmin N n min max Size kw min rpm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm litre kgm 2 kgm 2 kg kg 30 0,072 4.000 2 30 5 85 50 82 50 82 20 44 54 3,5 3,5 75 35 0,5 xø2 4,5 0,0057 0,0008 4, 0,2 40 0,28 2.500 22 40 45 05 60,5 209 60 89 25 58 7 6,5 7 75 43,5 0,5 xø2 4,5 0,047 0,00027 7, 0,3 50 0,252.200 22 50 65 25 70,5 229 70 89 25 73 86 6,5 7 75 52 0,5 xø2 4,5 0,0292 0,00053 0,7 0,8 60 0,438 0.000 28 60 95 45 82 267 80 07 30 88 03 6,5 8,5 90 6 0,5 xø2 4,5 0,063 0,00089 6,8 0,22 70 0,78 9.000 28 70 25 68 92 288 90 08 30 98 6 7 9 90 69 0,5 xø2 4,5 0, 0,003 24 0,25 80 0,998 8.000 32 80 230 85 02 308 00 08 35 8 36 7 9 90 77,5 0,5 xø2 4,5 0,69 0,009 30,5 0,28 90,435 7.00 32 90 265 20 4,5 349 0 29 40 28 46 7,5 2 05 85 0,5 xø2 4,5 0,332 0,0026 45 0,3 00 2,03 6.300 55 00 270 224 23,5 369 20 29 45 38 58 8,5 2 05 92,0 xø2,5 7 0,427 0,0035 53 0,36 0 2,520 6.000 65 0 305 245 33 49 30 59 50 53 77 9 2 35 99,5,0 xø2,5 7 0,7 0,0046 72 0,40 25 4,025 5.600 75 25 330 268 53 465 50 65 45 73 98 2 5 35 4,0 xø2,5 7,09 0,0068 92 0,47 40 5,670 5.000 85 40 375 305 70 505 65 85 50 98 224 0 5 55 26,5,0 2xØ2 9 2,04 0,0088 36 0,53 60 8,085 4.750 20 60 425 347 94 594 90 24 55 228 260 3 7 80 47,0 2xØ2 9 3,88 0,04 200 0,70 80,305 4.500 40 80 470 392 29 654 220 24 55 258 290 8 7 80 69,0 2xØ2,5 4 6,79 0,023 284 0,79 200 6,00 4.250 60 200 535 437 246 740 245 250 65 288 330 9 20 20 88,5,0 2xØ2,5 4,94 0,036 400,2 220 22,400 4.000 80 220 580 495 265 796 270 256 40 330 365 28 23 20 98,5,5 2xØ2,5 4 2,34 579 240 28,700 3.750 200 240 645 535 287 862 290 282 45 355 45 29 26 230 24,5 2xØ3 20 32,8 748 260 35,875 3.550 220 260 680 580 308 906 30 286 45 385 425 30 28 230 230,5,5 2xØ3 20 46, 95 280 44,975 3.350 240 280 745 630 34 994 340 34 50 45 460 3 32 250 256,5 2xØ4 36 69,2 70 300 56,700 3.50 260 300 775 660 362 038 360 38 55 445 490 32 34 250 272,5,5 2xØ4 36 90,2 380 320 7,750 3.000 280 320 825 70 383 082 380 322 60 480 530 33 36 250 289,5 3xØ4 54 26,5 685 Axial clearances a and b Oil injection nozzles per half Quantity and size Total oil requirement per min at.5 bar pressure Mass moment of inertia J ) per 0 mm tube length, if L > Lmin Values upon request Weight ) Extra weight per 0 mm spacer length Values upon request 22 RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256

Curved Tooth Couplings High-Speed Series TRG Dimension table No. 243 2/ bore d 3 bore d bore d2 bore d 4 Coupling Torsional Spring Rate Type TRG CT ) CT2 Size MNm/rad MNm mm/rad 30 0,0 40 0,26 50 0,54 60 0,96 70,53 80 2,3 90 3,37 00 4,43 0 6,05 25 8,26 40 2,24 60 8,2 80 25,9 200 34,0 To be calculated using the equation on page 29 The coupling series TRG is equipped with two Z-shaped retaining rings for end float limitation. The axial clearances a and b can be altered if required by the service conditions. The speed n max depends on the weight and length of the intermediate shaft. The bending-critical speed has to be checked by using the equation given on page 29. The couplings of the TRG series can also be supplied with a tor - sion shaft being adapted to the vibra - tion characteristics of the plant. For coupling selection and size determination, please see page 5. ) Values of the coupling with bore d 3 ; d 4 max. The intermediate shaft is considered with a diameter d ; d 2 max in the area of the hub lengths D only. The values for the exposed part of the shaft have to be calculated. C T2 = torsional spring rate of the intermediate shaft C T3 = torsional spring rate of the complete coupling Sizes 30 to 200 are available from stock, without intermediate shaft. Larger sizes on request. C T3 = + C T C T2 Coupling Normal Speed Dimensions Type cont. TRG operation bore bore PKN nmax d; d2 d3; d4 A B C D E G G H J N n min max min max Size kw min rpm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm mm litre kgm 2 kg 30 0,072 4.000 2 30 2 55 5 85 03,5 50 3,5 44 54 80 3,5 35 0,5 xø2 4,5 0,0 7,9 40 0,28 2.500 22 40 22 65 45 05 25 60 5 58 7 95 6,5 43,5 0,5 xø2 4,5 0,027 3,4 50 0,252.200 22 50 25 80 65 25 45 70 5 73 86 2 6,5 52 0,5 xø2 4,5 0,053 20,4 60 0,438 0.000 28 60 28 90 95 45 66 80 6 88 03 30 6,5 6 0,5 xø2 4,5 0,5 37,8 70 0,78 9.000 28 70 30 00 25 68 86 90 6 98 6 50 7 69 0,5 xø2 4,5 0,206 47 80 0,998 8.000 32 80 32 5 230 85 206 00 6 8 36 70 7 77,5 0,5 xø2 4,5 0,32 62 90,435 7.00 32 90 32 30 265 20 228 0 8 28 46 90 7,5 85 0,5 xø2 4,5 0,6 89 00 2,03 6.300 55 00 55 40 270 224 248 20 8 38 58 205 8,5 92,0 xø2,5 7 0,79 07 0 2,520 6.000 65 0 65 55 305 245 268 30 8 53 77 225 9 99,5,0 xø2,5 7,32 44 25 4,025 5.600 75 25 75 70 330 268 30 50 0 73 98 250 2 4,0 xø2,5 7 2, 96 40 5,670 5.000 85 40 85 95 375 305 340 65 0 98 224 285 0 26,5,0 2xØ2 9 3,89 280 60 8,085 4.750 20 60 0 225 425 347 392 90 2 228 260 325 3 47,0 2xØ2 9 7,43 43 80,305 4.500 40 80 34 250 470 392 452 220 2 258 290 360 8 69,0 2xØ2,5 4 2,8 583 200 6,00 4.250 60 200 50 280 535 437 504 245 4 288 330 40 9 88,5,0 2xØ2,5 4 23,4 836 220 22,400 4.000 80 220 80 30 580 495 556 270 6 330 365 450 28 98,5,5 2xØ2,5 4 38,5 36 240 28,700 3.750 200 240 200 330 645 535 598 290 8 355 45 480 29 24,5 2xØ3 20 57,8 452 260 35,875 3.550 220 260 220 360 680 580 640 30 20 385 425 520 30 230,5,5 2xØ3 20 8, 777 280 44,975 3.350 240 280 240 380 745 630 702 340 22 45 460 550 3 256,5 2xØ4 36 20, 2263 300 56,700 3.50 260 300 260 400 775 660 744 360 24 445 490 580 32 272,5,5 2xØ4 36 55,5 2668 320 7,750 3.000 280 320 280 425 825 70 786 380 26 480 530 620 33 289,5 3xØ4 54 25,4 3236 Axial clearances a and b Oil injection nozzles per half Quantity and size Total oil requirement per min at.5 bar pressure Mass moment of inertia J ) Weight ) RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256 23

Distance Plates for Curved Tooth Couplings High-Speed Series TSB Dimension table No. 243 22 2 fastening screws per plate segment dismounting dimension Distance plates are used for the radial and axial guidance of the coupling housing, when the coupling is open. This allows speeding up the driving machine without the driven machine being coupled. This is, for example, necessary during turbine trip tests or when checking the direction of rotation of electric motors. Distance plates are only intended for short-time use and are not suitable for continuous operation. The space - dimension F - is required to install and remove the distance plates. Coupling Type Dimensions Size of TSB D E F H J K L fastening Size mm mm mm mm mm mm mm screws 30 50 5 20 5 48 4,5 5 M 6 x 20 40 60 5 20 45 62 4,5 5 M 8 x 20 50 70 5 20 65 75 4,5 6 M 8 x 25 60 80 6 25 95 85 7,0 6 M 0 x 25 70 90 6 25 25 05 8,0 8 M 0 x 30 80 00 6 25 230 8 8,5 8 M 0 x 30 90 0 8 30 265 28 8,5 0 M 2 x 35 00 20 8 30 270 45 0,5 0 M 2 x 35 0 30 8 30 305 56,0 2 M 6 x 40 25 50 0 35 330 80,0 2 M 6 x 45 40 65 0 35 375 20 2,0 3 M 8 x 45 60 90 2 40 425 240 4,0 4 M 22 x 55 80 220 2 40 470 270 4,5 4 M 22 x 55 200 245 4 45 535 30 5,0 5 M 27 x 60 220 270 6 20 580 345 20,0 2 M 27 x 60 240 290 8 30 645 375 20,5 22 M 33 x 60 260 30 20 30 680 405 2,5 23 M 33 x 60 280 340 22 30 745 440 22,5 24 M 36 x 70 300 360 24 30 775 470 25,0 27 M 36 x 75 320 380 26 40 825 505 26,5 28 M 36 x 75 24 RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256

Guards for High-Speed Curved Tooth Couplings Dimension table No. 243 23 Flange acc. to EN 092- Section A-B The overall length L of the guard depends on the length of the coupling and is adapted according to the customer s specifications. Intermediate flanges are used to accommodate different connecting dimensions. It is therefore possible to retrofit them to existing installations. The longitudinal division of the guard ensures easy handling and good accessibility to all main components. Types Dimensions ZTNH ZTA TF THB TSBL ZTF ZTAF TFH TSB TRL ZTAH TSR TRG A B C D d F G H J O S ZTN min max Size Size Size Size Size mm mm mm mm mm mm mm mm mm mm mm 35 30 30 30 240 55 85 85 220 7 48,3 0 30 5 8 M 0 M 2 40 40 260 68 200 200 235 7 48,3 0 40 5 8 M 0 M 2 35 45 40 40 280 80 220 220 260 20 60,3 5 50 5 8 M 2 M 4 x,5 40 55 50 50 50 300 200 240 240 275 20 60,3 5 60 5 8 M 2 M 4 x,5 45 63 320 220 260 260 295 20 60,3 5 70 5 8 M 2 M 4 x,5 55 60 60 320 220 260 260 295 20 60,3 5 70 5 8 M 2 M 4 x,5 63 73 60 350 245 285 285 4 325 20 76, 8 80 6 8 M 2 M 4 x,5 73 85 70 70 350 245 285 285 4 325 20 76, 8 80 6 8 M 2 M 4 x,5 85 00 70 375 260 305 305 4 350 25 76, 8 95 6 2 M 2 M 6 x,5 80 80 80 375 260 305 305 4 350 25 76, 8 95 6 2 M 2 M 6 x,5 00 90 90 90 40 295 340 340 4 385 25 88,9 8 220 6 2 M 2 M 6 x,5 5 5 00 00 00 435 30 365 365 4 40 28 88,9 8 230 6 2 M 2 M 6 x,5 30 30 0 0 0 460 340 390 390 4 430 28 88,9 20 245 6 2 M 2 M 6 x,5 50 50 25 25 25 490 370 420 420 4 460 28 88,9 20 260 6 2 M 2 M 6 x,5 2 75 75 40 40 40 530 40 460 460 4 505 28 88,9 20 280 6 2 M 2 M 6 x,5 2 205 205 60 60 60 620 490 540 540 4 590 28 4,3 22 335 6 2 M 2 M 6 x,5 2 80 80 80 620 490 540 540 4 590 28 4,3 22 335 6 2 M 2 M 6 x,5 2 200 200 200 720 590 640 640 8 690 28 4,3 22 385 6 2 M 2 M 6 x,5 2 Number of screws in the flange Eye bolt DIN 580 Breather Type F-2033 Number of nozzles per half RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256 25

Special Designs Machines and installations that are subject to changing application conditions normally require complex, adaptable drive systems. This necessitates special solutions both for the gear units and for the coup lings. An example of this is a test stand installation from the field of aviation and aeronautics. The test stand is used to investigate performance and optimize new types of large engines.. Drive motors I and II 2. Adaptor gearboxes I and II 3. Multi-shaft gearbox 4. Test object RENK developed the drive concept and built the drive motors as well as all related components. The primary requirement was rapid and uncomplicated adaptation of the drive system to the differ - ent test conditions. This applied both to the power requirement and the speed range. The use of curved tooth couplings to connect the individual system parts proved to be the most favourable technical and economic solution. The overall installation consists of two electric variable speed motors with a power rating of 5000 kw each, three gearboxes and five coupling systems. In addition to the torque transmission function, the couplings assume three important tasks:. Protection of the installation by the built-in HYGUARD Safety Elements. 2. Monitoring and transfer of the values of torque, speed and direction of rotation by means of integrated torque metering shafts. 3. Quick adaptation of the drive system to varying test conditions. The last point is guaranteed by the coupling connected to the test object, whereby the coupling consists of various components. 5. Curved tooth coupling with HYGUARD Safety Element 6. Curved tooth coupling with torque metering shaft 7. Curved tooth coupling, convertible to various configurations All parts are designed as plugin connections and can be replaced without problem. The highest-precision coupling is designed for speeds up to 20,000 rpm. The balancing quality and running performance are always preserved, even for different combinations of individual parts. For single-shaft test objects with a high power requirement, the two drive motors are coupled via the connection coupling. A power output of 0,000 kw is therefore available to the test object at a speed of 20,000 rpm. Multi-shaft test objects with concentric shafts require the so-called separated operation. Here, each motor is operated independently in each direction. The speed that can be achieved in synchronous operation amounts to 20,000 rpm. Relative speeds of up to 40,000 rpm are possible for rotors rotating in opposite directions. Coupling configuration for coupled operation Coupling configuration for separated operation 26 RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256

Schematic diagram of the torque measurement equipment Curved tooth coupling with integrated electronics for torque measurement Rotating electronics Inductive power supply Stationary electronics Electrically insulated curved tooth coupling with additional external teeth on one hub Curved tooth couplings as torque metering shafts are another speciality of the coup - ling range. Various model series and designs are available, which are used according to the specific requirements. The application is the decisive criterion for the construction form, whereas the individual design, on the other hand, is mostly determined by the measuring unit used. These are predominantly independent devices which are built into the coupling as a complete unit. The connection dimensions are correspondingly matched to each other. A further possibility is the option shown in the drawing on the left. Instead of the built-in measuring unit, the coupling sleeve itself serves as a basis for determining the torque values. It is not necessary to change the external dimensions. The measuring electronics and related signal conditioning are firmly connected to the coupling sleeve. The acquired data are transmitted in a noncontact manner to the stationary part of the measuring equipment. The coupling shown is designed for a nominal torque of 72,682 Nm and an operating speed of 3000 rpm. In addition to the standard models, electrically insulated curved tooth couplings are available in any special design. They are primarily of importance where leakage current transfer may have a detrimental effect in electrical installations. The special solutions shown on these pages are only a few examples of the many different possibilities for using curved tooth couplings. Nevertheless, they clearly show that these couplings can also be used to solve unusual tasks. RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256 27

Shaft-Hub Connections Fig. Fig. 2 Fig. 3 Fig. 4 cyl. seat with 2 keys and interference fit cyl. seat with 2 keys and interference fit conical seat with 2 keys and interference fit conical seat with 2 keys and interference fit Fig. 5 Fig. 6 Fig. 7 Fig. 8 hydraulically fitted, cylindrical hydraulically fitted, cylindrical, with stepped seat hydraulically fitted, conical, with seal rings hydraulically fitted, conical Fig. 2 3 4 5 6 7 8 Constructional use of the space Production Insensitiveness to damage Running quality Axial positioning Transfer of force Installation, warm Installation, cold Disassembly favourable neutral less favourable 28 RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256

Calculation Formulae. Bending Critical Speed Rough calculation of the bending critical speed of intermediate shafts, spacers and hub sleeves n k = 300 78.3 E I axial G l 0 4 n k = bending critical speed, rpm n = operating speed, rpm E = module of elasticity = 20.6 0 4 N/mm 2 G = weight per mm length in kg (see item 5) l 0 = tooth centre distance, mm I axial (see item 4) Permissible for sub-critical operation n 0.75 n k For over-critical operation n.35 n k 4. Geometrical Moment of Inertia I Applicable for the shaft: I axial = d 4 20.37 Applicable for the spacer (tube): I axial = d a4 - d i 4 20.37 I axial = axial geometrical moment of inertia, mm 4 d = shaft diameter, mm d a = outer diameter of the spacer, mm d i = inner diameter of the spacer, mm I pol = polar geometrical moment of inertia, mm 4 I pol = 2 I axial 2. Torsional Spring Rate C T2 C T2 C T2 = I pol G l 0 9 = torsional spring rateof the intermediate shaft, MNm/rad G = shear modulus = 7.95 0 4 N/mm 2 l = length of the intermediate shaft in mm l = L - 2 D I pol (see item 4) 3. Mass Moments of Inertia J Applicable for the shaft: J = G 2 d 2 8 0 6 Applicable for the spacer (tube): J = G 2 (d 2 a + d i2 ) 8 0 6 5. Weight G 2 Applicable for the shaft: d G 2 = 2 6.65 l 0 6 Applicable for the spacer (tube): G 2 = (d a 2 - d i2 ) 6.65 l 0 6 G 2 d d a d i l G = weight, kg = shaft diameter, mm = outer diameter of the spacer, mm = inner diameter of the spacer, mm = length, mm = weight per mm length, kg/mm G = G 2 l J = mass moment of inertia, kgm 2 G 2 = weight, kg (see item 5) d = shaft diameter, mm d a d i = outer diameter of the spacer, mm = inner diameter of the spacer, mm RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256 29

Torsional Vibrations, Coefficients of Friction, API Design Torsional Vibration Calculations If there are special operating conditions it is possible to provide a rapid technical solution by targeted torsional vibration calculations. We have extensive computer programs at our disposal for this purpose. These permit the simulation of different operating conditions for the overall installation and provide information about the dynamic loads to be expected. Operating conditions such as start, various shortcircuits, system transfer etc. can be computed. These calculations are an important prerequisite for dimensioning couplings with an integrated torsion shaft. Both conditions are satisfied by the following series: ZTNH,ZTKH ZTF, ZTFK ZTAF, ZTAKF ZTAH, ZTAKH TF, TFH Couplings according to ISO 044 In compliance with the API 67 standard, August 2007 edition, the distance between two shafts to be connected shall be at least 8 inches. This corresponds to a metric value of 457.2 mm. It is also Coefficient of Friction, µ, and Determination of the Axial Force The magnitude of the coefficient of friction for gear coup lings is subject to a large number of different influences and factors. These include, for example, coupling characteristics such as gear teeth quality, flank form, flank hardness and surface roughness, hardening and material combination, as well as the different operating con ditions such as load, misalignment, speed, sliding velocity, lubricant and lubrication type. Since the individual factors are mostly evaluated differently, it is hardly possible to find any uniform specifications of the actual value of the coefficient of friction in specialist literature. specified that coupling removal must be possible without changing the shaft positions. Deviations from the API 67 Standard are furnished upon request. The API Standard 63, Feb. 2003 edition, specifies that a coefficient of friction of µ = 0.25 be taken into account when dimensioning thrust bearings for gear units. This value is without doubt achieved only under extremely poor conditions and where several unfavourable factors coincide. Under normal conditions, coefficients of friction of between 0.02 and 0.06 are certainly realistic. For the ZT series with hard - ened and ground gear teeth, it is advisable to use a coefficient of friction of µ = 0.08 when calculating the axial force. The value µ = 0. applies approximately to the other coupling series described in this catalogue. Approximate calculation of the axial force F a P N 9550 000 F a µ [N] n coupling size 30 RENK Aktiengesellschaft, Rheine Works Phone: + 49 597 790 0 Fax: + 49 597 790 208 and 790 256

CNC gantry drilling machine 2 Grinding of the hardened internal teeth of a coupling housing 3 Finish-machined hub sleeves with bores for injection lubrication 4 Grinding of the hardened curved gear teeth of a coupling hub 5 Machining of a spacer on a universal turning lathe 6 Test stand set-up of the drive system with high-speed gear units and couplings for the test facility described on page 26 2 3 4 5 6

Further products of our coupling range 3 2 4 Curved Tooth Coupling Type SB 2 Curved Tooth Coupling Type SBk 3 High-Speed Gear Unit Type THGD-280 4 Raflex Steel Disk Coupling Type MTP acc. to API 60 RENK Aktiengesellschaft Rheine Works Rodder Damm 70 D-48432 Rheine / Germany Telephone: ++49 597 790-0 Telefax: ++49 597 790 208 and 790 256 E-mail: info.rheine@renk.biz Internet: http://www.renk.eu Neudruck RR 068/0.0-3e 0054