Lehmann Rotary Tables Publications Main catalog (PGD inside!) - Page 76

A Calculating loads, forces and moments of inertia, avoiding risks and damage It is not only the weight which counts; shape and position are also often decisive factors EA + M Overview We are here to help Request a proposal and we will gladly prepare you an offer for your individual calculation up to and with a specific list of parameters. Contact your closest pL LEHMANN representative. We will assist you. Calculation of the torque acting on the tilting axis B mass and moment of inertia Calculation of the B D D TF A A D R R LL JA T2 / T3 MOT / KAB WMS / CNC R L R LL R R D D RJJ L B D rr A A B B J JA JA r A JA RFX/LFX B B A A B A D Workpiece clamping JA L Rotar y table TF...T1-507510 TF-510510 TF...T1-510520 TF...T1-520520 B R D J DJA J JBA D JA B R D JA L d vario(X)(1) 0 3.5 0 0 d R r b JA R 76 a A A r JA b L JA a Calculation of the torque in the tilting direction (without intrinsic torque of the dividing axis): Rs = R + L/2 M = m x Rs x g r A fix(X) 65 68.5 86.5 114 B R d A Calculation of the total torque in the tilting direction (with intrinsic torque of the dividing axis): M tot = M + Me (Me is the gear unit loading without load; see appropriate T-type rotary table pp. 13–29) JJAA B dD d R JA LL b R a L Distance R R L L L JA L General accessories R B R D L L D D L m= JA = D:  Outside diameter of the round bar [m] L: Length of the round bar [m] r: Turning radius [m] p: Density [kg/m2] m: Mass of the round bar [kg] Moment of inertia of the round JA:  bar at center A [kgm2] J: Moment of inertia [kgm2] m= J= Side length [m] Side length [m] Side length [m] Density [kg/m2] Turning radius [m] Moment of inertia [kgm2] a: b: L: p: JA: Side length [m] Side length [m] Side length [m] Density [kg/m2] Moment of inertia [kgm2] b A Legend JA A = Dividing axis a B = Tilting axis R = Radius between tilting axis and spindle nose of dividing axis [m] Rs = Distance to the centre of mass [m] m = Mass [kg] M = Torque calculated from m x g x Rs [Nm] Me = Torque acting on the tilting axis caused by the dead weight of the tilting axis [Nm] g = Acceleration due to gravity 9.81 [m/s2] πD2 x Lp 4 mD2 πD2 2 8 LL A aaL r JA = 1 m (D2 + d2) 8 πD2 b b b )( x Lp - πd2 4 1 m (a2 + b2 + 12r2) m = abLp JA = 1 12 ) x Lp m = abLp 12 JJAA JA a ( JA = JJAA JA A A m= 4 a rr x Lp 4 mD b aaL A A A 8 JA = J + m x r2 D:  Outside diameter of the cylinders [m] d: Bore diameter of the cylinder [m] L: Length of the round bar [m] p: Density [kg/m2] m: Mass of the cylinder [kg] Moment of inertia [kgm2] JA:  a: b: L: p: r: JA: b b LL D:  Outside diameter of the round bar [m] L: Length of the round bar [m] p: Density [kg/m2] m: Mass of the round bar [kg] Moment of inertia [kgm2] JA:  JJAA B T1 A Technology / engineering A Calculation of loads and forces M (a2 + b2) Densities of different materials x dynamic speed (p) Iron 7.85 x 103kg/m3 Cast iron 7.85 x 103kg/m3 Aluminum 2.7 x 103kg/m3 Copper 8.94 x 103kg/m3 Brass 8.5 x 103kg/m3