Calculation of torque

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Transcription:

Calculation of toque = toque that is exete on the ajusting nut (N) = eveage (N) = eve a () = xial foce (N) = oces on etic v-thea: N = Noal foce (N) = ictional foce (N) t = Tangential foce (N) Chaacteistics: = Noinal thea () = Pitch () = lank = - 0.6495 () VS = Pitch angle = actan = actan ( ) ( 0.6495 ) = Half flank angle = 30 VS = Coefficient of fiction of steel/goun steel 0.15 = iction angle on v-thea ( ) = actan cos actan tan cos is a elatively sall angle 0.15 silifie: = actan = actan = 9.86 cos cos30 The following also alies: tan with '+' fo tightening an ' ' fo loosening t = Calculation of the toque / an axial foce on the thea: / = = Theefoe: t =.5 tan 0 = = tightening toque (N) = = loosening toque (N)

= = 0 / =.5 tan 0.5 / 0.5 tan actan 9. 86 0.6495 tan actan 9. 86 / ( 0.6495 ) is a elatively sall angle We assue an aveage value of 0.9 (lease see table below) 6x0.5 8x0.75 11x1 5x1 50x1.5 55x 150x 155x 00x3 1.6 1.8 1.76 0.749 0.558 0.679 0.45 0.357 0.76 = / 0.5 0.6495 tan0.9 9. 86 fo futhe silification we use only instea of (-0.6495) = / 0.5 tan 0.9 9. 86 = oosen: = 0.0947 0. 0785 0. 0947 0. 0785 Calculation of the fictional toque ajusting nut beaing suface = : 0.15 0. 075 Silifie with : 0. 075 = ictional toque ajusting nut beaing suface (N) = Coefficient of fiction 0.15 = veage suface of ajusting nut Note: only coes into effect if the ajusting nut is essing on the beaing suface. Toque being exete on the ajusting nut: 0.0947 0.075 0. 17 oosen: 0.0785 0.075 n Note: Deivation of lease see below Values still to be taken into account: Suface essue on the thea flanks ax. axial loa 0.15 n

Pa Pa Silifie: Pa Pa H1 0.6495 0. 5416 0. 5416 Pa = 80-150 N/ ieck Z18 / = Nube of thea itches = thea length/itch = lank = 0. 6495 () = xial foce (N) H 1 = Thea loa-beaing eth (VS) = 0.5416 () n shea stess on thea 0. 6495 Silifie: = justing nut height () = 560 N/ echanical engineeing.39 Baking effect of gib /- (aial) cos60 With = 3.3 aveage value of thea 4-1 n 0. actan actan 13 cos cos30 with the silification 0.5 tan 0.5 tan3.3 13 0.5 tan3.3 13 0.1455 Theefoe: cos 60 0. 0. 687 Tightening toque (N) of the gub scew as e Bossa T.037 fo 4-16: 4 5 6 8 10 1 14 16 1000 3000 5000 10000 0000 45000 45000 90000 Theefoe fo (N) fo one gib: 4 5 6 8 10 1 14 16 171.75 41. 57.5 858.75 1374 576.5 08. 3864.37 Theefoe the esult fo fictional toque : n 0. 343 n n 0.687 = Tightening toque of gub scew (N) = xial foce of gub scew (N) = ictional foce of gib on ajusting nut thea. (N) = Coefficient of fiction gub scew ajusting nut0. = of gub scew () = Baking toque of gib on ajusting nut thea (N) = of ajusting nut thea () = of gub scew () n = Nube of gibs = Tightening toque of gub scew (N)

Baking effect of gib /- (axial) = oce of eccentic on gib (N) t = Tangential foce on eccentic (N) = aius on oute suface of eccentic () = Tightening toque on eccentic (N) = ngle of eccentic to gib ( ) = ictional foce of gib on ajusting nut thea. (N) = Coefficient of fiction gib ajusting nut 0. t sin with t t sin Theefoe: cos60 (lease see above) cos60 sin 0.5 0. sin 0.1 Theefoe the esult fo fictional toque : n 0.05 n sin = Baking toque of gib on ajusting nut thea (N) = of ajusting nut thea () n = Nube of gibs Note: The angle is eenent on which osition the gib has been goun. The toleances when anufactuing the eccentic, as well as the gib, also have a geat influence on the angle. Sale calculation: ssuing: n ajusting nut 50x1.5 ( gibs with 6) is use to cla a sinle beaing. The axiu axial loa on the beaing ust not excee 10,000 N. What ae the tightening an loosening toques? Tightening an loosening toque of the ajusting nut:

0.17 0.17 10000 50 85000N oosen: 0.0785 0.075 n 0.1510000 50 57.5 5 10365N 0.15 n Check suface essue/shea stess ax. axial loa: 14 Pa 0.54 150 50 0.54 1.5 17818N 1.5 OK 560 50 14 131504N OK ssuing: n ajusting nut 100x ( gibs with 8) is use to cla a sinle beaing. The axiu axial loa on the beaing ust not excee 5,000 N. What ae the tightening an loosening toques? Tightening an loosening toque of the ajusting nut: 0.17 0.17 5000 100 45000N oosen: 0.0785 0.075 n 0.15 0.15 5000 100 858.75 50 460875N n Check suface essue/shea stess ax. axial loa: 0 Pa 0.54 150 100 0.54 508938N OK 560 100 0 3518583N OK