Possible bearing types are: fixed clamping, 2, 3, 4 or 5 ball-and-socket joints (as with WL1). As with WL1, up to 50 radial forces, path loads, bending moments and axial forces can be defined. However, calculation of torsion and shearing stress is not possible with TR1, as a calculation of elementary means is not possible. Section modulus, moments of inertia, main axes and center of gravity of the cross-section, shearing force course, bending moment course, bending angle, bending line, bending stress and tension/pressure are calculated. For compression load, the influence of the axial force on the bending line is taken into account. When buckling occurs a warning appears. For any number of x-coordinates, the profile cross-section with displaced profile and stress distribution in the cross-section, can be displayed. The geometry of the cross-section and all diagrams can be loaded into CAD as DXF or IGES files. TR1 is available for delivery from December 1997 at a price of 1480 DM.

pi² * E * Iy FK = --------------- l²

FK: Euler buckling force E: Elasticity modulus Iy: Surface moment of inertia l : Length of shaft or support

The formula cannot be used on stepped shafts. For this reason WL1 uses a different method for calculation.

Axial compressive forces increase the bending of the shaft, tensile forces reduce the bending. The new versions of WL1 and WL1+ better account for this effect in the calculation of statically determined mounted shafts.

Due to axial forces, additional shearing force occurs as radial components of FA, on a shaft already bent from other influences. WL1 first calculates the deflection without axial force influence. Then the shearing force share of the axial forces as shearing force are added and the shaft is completely recalculated. The force application point, xa, is the location of the highest deflection. The greatest bending angle is w1max, and wmax is the angle of the greatest deflection in the yz plane.

FQ = sin(w1max) * FA x = xa phi= wmaxWhen deflection alters due to axial forces, the shearing force share of Fax is calculated via iteration with the new bending angle, until a balance is achieved. If deflection becomes greater and greater and is heading for infinity, the shaft buckles, WL1 then displays an error message. The share of the axial forces in deflection is included on the printout under "Extreme Values".

q = m*g/b x1 = x-b/2 x2 = x+b/2

q: Path load in N/mm m: Mass in kg b: Width of additional mass in mm g: 9.81 m/s²

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WDXFPLOT C:\DXFPLOT\DXFPLOT.DXF /CHPL /R /M* /V*=1 The parameters mean: /CHPL: HPGL laser printer /R: rotation by 90ø /M*: greatest possible scale /V*=1: all layers in line thickness 1