Assuming there is no axial thrust, find the reactions @ A ± C. Y Note: Force actlig on gear B is parallel to z-axis. Force acting on year D is parallel to y-axis. 50 77015 3010 - 25 in 201n звать 100
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- Gear shaft ABCDE is subjected to the torques shown in the figure. Find the internal torque in each seg- ment, and then plot the torsional moment diagram. Assume that the spacing between gears is constant, i.e., 10 in. T1 = T2 = 1000 lb-in. 500 lb-in. A B T3 = 800 Ib-in. C Ta = 500 lb-in. d = 1.0 in. D T; = 800 lb-in. E3. The center distance of two pair of meshing spur gears 4 = a, =160mm m, = m, z, = 20 3 = 30, 2, = 50 . Calculate the module of four gears and the tooth number of gear 1.Ex: The second shaft on a parallel-shaft 25-hp foundry crane speed reducer contains a helical gear with a pitch diameter of S.08 in. Helical gears transmit components of force in the tangential, radial, and axial directions. The components of the gear force transmitted to the second shaft are shown in Fig. (8) at point A. The bearing reactions at C and D, assuming simple- supports, are also shown. A ball bearing is to be selected for location C to accept the thrust, and a cylindrical roller bearing is to be utilized at location D. The life goal of the speed reducer is 10 kh, with a reliability factor for the ensemble of all four bearings (both shafts) to equal 1 (90% reliability) with light to moderate impact. (a) Select the roller bearing for location D. (b) Select the ball bearing (angular contact) for location C, assuming the inner ring rotates. *- 20 Fig (8)
- Photo by Norbert Schnitzler, CC BY-SA 2.0 simple model 36 in bearing bearing fixed support A simplified model of two solid circular shafts connected by two rigid gears is given below. Determine: (1) the torque in shaft c-d to the nearest in-lb and (2) the angle of twist at point a in degrees with two decimal places. b bearing bearing a 62 in Notes: top view (sketch not to scale) - gear b radius= 1.25 in - gear c radius = 4.60 in - shaft ab radius = 1.00 in -shaft cd radius = 0.75 in - shear modulus = 12000 ksi 1100 in-lbEx: The second shaft on a parallel-shaft 25-hp foundry crane speed reducer contains a helical gear with a pitch diameter of 8.08 in. Helical gears transmit components of force in the tangential, radial, and axial directions. The components of the gear force transmitted to the second shaft are shown in Fig. (8) at point A. The bearing reactions at C and D, assuming simple- supports, are also shown. A ball bearing is to be selected for location C to 262 accept the thrust, and a cylindrical roller bearing is to be utilized at location D. The life goal of the speed reducer is 10 kh, with a reliability factor for the ensemble of all four bearings (both shafts) to equal1 (90% reliability) with light to moderate impact. (a) Select the roller bearing for location D. (b) Select the ball bearing (angular contact) for location C, assuming the inner ring rotates. 356.6 144 297.5 3 in 2915 4.04 in 106.6 595 144 250 Fig.(8) Table(1) Bearing Characteristics That May Influence the Selection of Bearing…Draw free-body diagrams of the two gears, assuming an input couple M on theOUT X shaft of the larger gear in the direction shown. Include forces at bearings A, B, D and E. M isthe reaction couple at the output shaft - i.e. the resistance to turning of the object being driven.The gears have 48 and 24 teeth respectively. If the input gear (large gear) turns at 100 rpm(= revolutions per minute), the output speed (small gear) is _______rpm.Wil OUT X IN Xl M be larger or smaller than M ?
- Q.no-2 During test on a sample of steel bar 25 mm in diameter, it is found that the pull of 50kN produces an extension of 0.095 mm o a length of 200 mm and a torque 200N-m producesan angular twist of 0.9 degrees on a length of 250mm. Find the Poisson ratio of the steel.The value of curvature correction factor k, will be if the spring index is 6. O a. 1.33 O b. 1.08 O c. 0.92 O d. 4.00 The figure below shows the components of normal forces, the value of radial force on the gear wheel due to a tangential force of 642 N is N, Take pressure angle as 14½0. at Pitch P. point Gear driven to 02 The radial force isQuestion 3 - Torsion ( A composite shaft is shown in the figure below which is fixed against rotations at ends A and E. Section AC is a solid cylindrical shaft made from aluminium and Section CE is a solid cylindrical shaft made from steel Diameters of sections ACand CE are denoted as dac and dog respectively. Both sections are perfecty joined at C such that there is strain compatibility at the interface. There is a torque Ti applied at the mid-span of Section AC, and a torque T applied at the mid-span of Section CE. Directions of the applied torques are as shown in the Figure. The shear modulus of aluminium is Gat = 50 GPa and the shear modulus of steel is G = 110 GPa The dimensions of the shafts and the magnitude of applied torques are given by: T = 0.5 kNm T = 4.5 kNm dAc = 120 mm dce = 70 mm LAB = LBC = 4 m Lcp = LDe = 2 m Assume the shaft to remain linear elastic during loading. T, T T, A. T, B D E Part One: Equilibrium Write an equation of equilibrium for the structure by filling…
- II kN m 5 kN m 3 kN m 3 kN m 75 mm 85 mm 70 mm 2 m 2m 2 m FIGURE P12-6 The "new" magnitude of the external torque applied at "B" to maintain equilibrium of the shaft is ---_kN-m. The magnitude of the minimum shear stress in the shaft between "A" and "B" is MPа. The magnitude of the maximum shear stress in the shaft between "A" and "B" is _____MPa. The magnitude of the maximum shear stress in the shaft between "B" and "C" is MРа. The magnitude of the maximum shear stress in the shaft between "C" and "D" is _____MPa. The magnitude of the minimum shear stress in the shaft between "C" and "D" is __--_MPa. 10Assignent no 1 Qt+ A Compound gear 6 Jears. No of teeth; train Consists of A B D 60 40 35 २४ 50 30 shaft on another shaft. The Gears B ş C are on one while are gears Gear A drives c drives gear D B, gear gear S gear E drives gear F. Gear A transmits 1.5 Kw at 15orpm Find speed of Gear F ? Q2+ State advatages of Cycloidal In volute profile as a gear tooth pnfile.A pair of helical gears, the rotating direction n1 and helix direction of the pinion 1 are shown in the Figure. Determine: (1) The rotating direction n2 and the helix direction of gear 2; (2) Draw the direction of the radial force Fr, tangent force Ft and axial force Fa for both gears. n 1 n 1 1 Problem 4) Figure