English Deutsch

# Info Letter No. 56 - July/August 1999

### Copyright by HEXAGON Software 1999

#### by Fritz Ruoss

GEO2

The new GEO2 software calculates the mass inertia moment of any axially symmetrical cross-section. The dimension is input as straight lines and arcs in half-section. You can also load the geometry from a CAD DXF file, if the contour is defined as a poly-line with straight lines and arcs. A table drawing with all data can be printed or taken over to CAD as a DXF/IGES file.

GEO3

GEO3 is a new software for calculation of Hertz’s pressings between 2 touching bodies (ball, cylinder, circle geometry with variable radiuses in x and y plane, planes).

GEO3 draws diagrams of pressure tension, deformation and spring rate depending on the compression load.

SR1 – shearing stress

When tightening a bolted connection a shearing stress appears because of thread traction and screw lead. This stress partly remains in the operating state. The "Calculation of service condition Sigma red,B" has been taken over from the new VDI 2230 draft. With shearing stress and maximum tensile stress in operating state, a comparative tension Sigma red,B is calculated.

Sigma red,B = (sigma²z + 3 (ktau*taumax)²)0.5

In this expression, the reduction constant k tau stands for the remaining shearing stress in operating state. VDI 2230 suggests k tau=0.5. The ideal case k tau=0 is reached at hydraulically prestressed tightening, if clamping plates are pressed together when mounting and the screw is tightened with a minor torque. If the total shearing stress remained,
k tau = 1 would apply. In SR1, the tightening tools’ database was appended by K_TAU. Therefore, the field STREU_PROZ containing the variance in per cent is tropped, because it can be calculated with alpha A.

Shearing stress calculation:

Tau max = MG/Wp

With

MG = FMmax*d2/2(P/(pi*d2)+1.155*µg)

WP = pi/16 * d0³ for elastic deformation

bis WP = pi/12 * d0³ for full plastic deformation

A bit strange about the VDI 2230 draft is that the polar surface inertia moment with WP=pi/12*d³ is used for full plastic deformation when the shearing stress is calculated with MG, as the friction moment surely results in full plastic transformation only in few cases. Therefore, SR1 calculates the higher shearing stress for elastic transformation, and the permissible flowing is considered by a minor shearing stress’s influence when calculating the (theoretical) comparative tension (factor 12/16=0.75).

Sigma red,B = (sigma²z + 3 (ktau*taumax*0.75)²)0.5

Or

Sigma red,B = (sigma²z + 1.69 (ktau*taumax)²)0.5

For a factor ktau=0.5 (suggestion VDI2230) follows

Sigma red,B = (sigma²z + 0.42 taumax²)0.5

The shearing stress is nearly insignificant.

VDI 2230 Application example

Unfortunately there is only one application example in the new VDI draft, this corresponds to example 3 of the old standard. Only the screw’s thread length was doubled from 10 to 20 mm. SR1 calculates a minimum screwing-in depth of 12.4 mm according to Dose’s expressions. In the new draft, the up-to-now incorrect calculation of the screwing-in depth has not been replaced by the practical Dose calculation, but by annother new theory.

The amount of setting calculation (so far dependant on the clamping length!) has been replaced, now roughly corresponding to Bauer & Schaurte’s methods used by SR1. In the calculation example, the setting force is now 4 times as large as according to the old VDI2230 !

SR1 – Temperature-dependent Nut

For the screwing-in depth’s calculation at higher temperatures, the reduction of yield point and tensile stress of the nut thread has to be considered. Therefore, SR1 has been appended by a database MAT_P_RE.DBF. Similar to the screw’s yield point calculation, the yield point of the specified operating temperature is loaded from the database for the nut. Intermediate values are interpolated.

The tensile strength is diverted from the yield point, it is preconditioned that the relation of yield point and tensile strength is the same for every temperature.

Rmx = Rex * Rm20 / Re20

SR1 – amount of setting acc. VDI2230 draft 11/98

The amount of setting calculation according to the new VDI draft was taken over in SR1. Now, you can choose the calculation according to the old and the new VDI, and the screw’s Vademecum. The calculation according to Vademecum had to be corrected, as the number of discretionary hyphens had not been considered yet.

SR1 - Input clamping plates

In the latest 32-bit version, problems appeared for 2 and more clamping plates at material changes, when the file was saved and later opened. The error was corrected, moreover, the material are now also shown in the list.

SR1 – Table Drawing

As size problems occurred with long texts and large numbers, the font height was decreased and the columns were widened.

SR1 – Friction Diameter

The friction diameter is calculated according to VDI 2230 with

Dkm=(dw+dh)/2

So far, the expression Dkm = (dk+dh) / 2 with head diameter Dk has been utilized. Therefor, the tightening torque was smaller.

SR1+ Plus-Version with flange calculation

An extended version of SR1 is available now, which includes the calculation of the maximum load for a single bolt (FA, FQ, Fkreq) from the flange load. Thanks to Mr. Gerhard Friedrich Dose for his suggestions and help.

The price of SR1+ is 1470 DM, the upgrade price for SR1 to SR1+ is 280 DM.

GEO1/GEO1+ Drawing

A table drawing with geometry and result data for the calculated cross-section has been added to GEO1, our profile calculation software.

WST1 – Database

The database has been appended. Approximately 250 steels and alloys, respectively, and the following material groups have been added: Heat-resisting steel, High-temperature resisting steel/alloy, alloyed tool steel, non-magnetiziable steel, vavle steel, heat-resisting cast steel, stainless steel cast.

Following material's chemical compound has been corrected:

1.0402, 1.0406, 1.0501, 1.0503, 1.0511, 1.0528, 1.0535, 1.0540, 1.0601, 1.0756, 1.0757, 1.0758, 1.1133, 1.1151, 1.1158, 1.1167, 1.1170, 1.1178, 1.1181, 1.1186, 1.1191, 1.1203, 1.1206, 1.1221, 1.1231, 1.1248, 1.1269, 1.1520, 1.1525, 1.2362, 1.2731, 1.3505, 1.3520, 1.3536, 1.3543, 1.3549, 1.3551, 1.4003, 1.4109, 1.4110, 1.4112, 1.4120, 1.4122, 1.4125, 1.4306, 1.4310, 1.4311, 1.4313, 1.4404, 1.4418, 1.4439, 1.4462, 1.4465, 1.4512, 1.4521, 1.5023, 1.5024, 1.5028, 1.5142, 1.5637, 1.5662, 1.5680, 1.5752, 1.5919, 1.6511, 1.6582, 1.7001, 1.7002, 1.7003, 1.7006, 1.7020, 1.7030, 1.7033, 1.7035, 1.7108, 1.7138, 1.7149, 1.7218, 1.7220, 1.7225, 1.7228, 1.7321, 1.7323, 1.7361, 1.7362, 1.7707, 1.7735, 1.7779, 1.8159

The basis data of 1.7220 has been altered.

WST1 - Max. and Min. Stress

Instead of average stress and amplitude, min. and max. value may be entered.

WST1 - Materials new/modify

Base data, chemical composition, fatigue limits, and international names may be entered in one dialogue window.

FED3 Production drawing

Spring angle and torque have been splitted to 2 lines, text size was increased, and dimension arrows are drawn solid filled. Thanks to Mr. Rottmann of Baumann-springs in Rüti/Switzerland for his improvement suggestions.

Minus becomes Light

Because of the negative touch of the "-" sign for the light versions, it are named with extension "light" instead of "minus" in future.

If only one page shall be printed, you can configure this setting. The page shift is ignored then.

Font and text style configuration

For text printout, font, style and size can be configured now.

For the text font used with drawings and diagrams, "bold" and "italic" attributes are supported now.

Standard Printout from FED3+

Font: Courier New

Style: Bold Italic

PRICELIST OF 01st.09.1999

 PRODUCT EURO DM US \$ GEO1 V3.0 Cross-Section Calculation 230,- 450,- \$265 GEO1+ V3.0 Cross-Section Calculation incl.profile database 294.- 575,- \$330 GEO2 V1.0 Moment of Inertia 194,- 380,- \$220 GEO3 V1.0 Hertzian Pressure 132,- 260,- \$150 SR1 V9.2 Bolted Joints 639,- 1.250,- \$730 SR1+ V9.2 Bolted Joints incl. Flange calculation 750,- 1.470,- \$858 LG1 V4.7 Roll-Contact Bearing Calculation 296,- 580,- \$340 WST1 V6.3 Material Databese 235,- 460,- \$270 WN1 Version 7.3 Press fits 485,- 950,- \$550 WN1light V7.3 Press fits 368,- 720,- \$420 WN2 V 3.2 Toothed shaft joints 250,- 490,- \$290 WN3 V 2.2 Sliding keys 245,- 480,- \$280 WL1 V 13.5 Shaft Calculation 798,- 1.560,- \$910 WL1+ V13.5 Shaft Calculation incl. roll-contact bearings 945,- 1.850,- \$1080 ZAR1 V 13.6 Spur and Helical Gears 1002,- 1.960,- \$1150 ZAR1+ V 13.6 Spur and Helical Gears incl. Database 1115,- 2.180,- \$1280 ZAR2 V4.5 Spiral Bevel Gears 792,- 1.550,- \$910 ZAR3 V3.3 Worm Gears 404,- 790,- \$460 ZARXE V3.0 Addend.modific.from dimension over balls, pins, span, meas 72,- 140,- \$85 HAERTE V2.0 Vickers, Brinell, Rockwell hardness 61,- 120,- \$70 FED1 Version 15.3 Calc.of Helic. Compression Springs 491,- 960,- \$560 FED1+ V15.3 Helical. Compression Springs incl. Database, Animation 695,- 1.360,- \$800 FED1light V15.3 Calc.of Helic. Compression Springs (without CAD-interface.) 404,- 790,- \$460 FED2 V 9.4 Calc.of Helical. Tension Springs 501,- 980,- \$580 FED2+ V 9.4 Helical. Tension Springs incl, Database, Animation 675,- 1.320,- \$770 FED2light V9.4 Calc.of Helic. Tension Springs (without CAD-interface.) 407,- 795,- \$465 FED3 Version 8.5 Helical Torsion Springs 388,- 760,- \$450 FED3+ V8.5 Helical Torsion Springs incl.prod.drawing 480,- 940,- \$550 FED4 Version 2.9 Calc.of Disk Springs 430,- 840,- \$490 FED4- V2.9 Calc.of Disk Springs (without CAD-interface.) 394,- 770,- \$450 FED5 Version 7.3 Conical Compression Springs 741,- 1.450,- \$850 FED6 Version 5.8 Nonlinear Cyl. Compression Springs 634,- 1.240,- \$720 FED7 Version 3.7 Nonlinear Compression Springs 660,- 1.290,- \$760 FED7- Version 3.7 Nonlinear Compression Springs 402,- 785,- \$460 FED8 Version 2.7 Torsion Bar Calculation 317,- 620,- \$365 TOL1 Version 9.1 Tolerance Analysis 506,- 990,- \$580 TOL1CON V1.2 Conversion Programm for TOL1 281,- 550,- \$320 TOL2 Version 1.3 Tolerance Analysis 495,- 970,- \$570 TOLPASS V2.3 Library for ISO tolerances 107,- 210,- \$140 DXF-Manager Version 8.2 383,- 750,- \$440 HPGL-Manager Version 8.2 383,- 750,- \$440 DXFPLOT V 2.6 123,- 240,- \$140 SISI V3.0 Conversion of SI Units 56,- 110,- \$60 AV1 V1.3 File management 286,- 560,- \$325 TR1 V1.6 Girder Calculation 757,- 1.480,- \$870 ZM1.V1.0 Chain Gear Calculation 326,- 640,- \$370

 PACKAGES EURO DM US \$ HEXAGON-Mechanical Engineering Package (TOL1, ZAR1+, ZAR2, ZAR3, WL1+, WN1, WN2, WN3, WST1, SR1, FED1,+, FED2+, FED3+, FED4; ZARXE, HAERTE, TOLPASS, LG1, DXFPLOT, SISI, GEO1+, TOL2, TOL1CON, GEO2, GEO3, ZM1) 7.453,- 14.600,- \$8100 HEXAGON Graphic Package (DXF-Manager, HPGL-Manager, DXFPLOT, HPGLVIEW) 741,- 1.450,- \$850 HEXAGON Helical Spring Package (FED1+, FED2+, FED3+, FED5, FED6, FED7, DXFPLOT) 2.550,- 4.990,- \$2890 HEXAGON Tolerance Package (TOL1, TOL1CON, TOL2, TOLPASS) 945,- 1.850,- \$1080 HEXAGON Complete Package (All Programs of Engineering Package, Graphics Package, Tolerance Package and Helical Spring Package) 9800,- 19200,- \$10650

HEXAGON Industriesoftware GmbH Tel.07021 / 59578

Stiegelstrasse 8 D-73230 Kirchheim-Teck Fax 07021 / 59986

E-Mail : Sales@hexagon.de Internet : http: // www.hexagon.de

• Multi-User Licenses and Network Versions

 Am Licenses 2 3 4 5 6 7 8 9 >9 Discount % 25% 27.5% 30% 32.5% 35% 37.5% 40% 42.5% 45%

• Network Floating Licence

 Am Licenses 1 2 3 4 5 6 7..8 9..11 >11 Discount/Add.cost -50% -25% 0% 10% 15% 20% 25% 30% 35%

• Langage Version:

- English : all Programs

- French: FED1, FED1+, FED2, FED2+, FED3, FED3+, FED5, FED6, FED7, DXFPLOT, HPGLMAN, DXFMAN, HPGLVIEW.

- Italienish: FED1, FED1+, FED2, FED2+, FED3, FED3+, FED5, FED6, FED7, DXFPLOT.

- Schwedish: FED1, FED1+, FED2, FED2+, FED3, FED3+, FED5, FED6, FED7, DXFPLOT.

- Portugiesish: FED1, FED1+

• Update-Service:

Every eight weeks we send E-Mails to our customers with informations about news and up-dates of HEXAGON Software

 Up-date prices EURO DM US\$ Disk-Update 31,- 60,- \$35 Full-Update (Disk+Manual) 51,- 100,- \$55

Hexagon offers two kinds of network license:

1. Licensing provision to specific user or work station (2 licenses and more)
2. Licensing in the time-sharing manner with a license manager (1 license and more)

Stand-alone licenses may not be installed in a network!

• Conditions for delivery and payment

General packaging and postage costs are DM 25.00

Conditions of payment : in advance with 2% discount or 30 days net.Payment in advance for the first order.