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- Determine the resisting torque at support A and B , of the shaft shown in the figure.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. 104) The 1.5 in diameter shaft below is supported by a thrust bearing at A and a self-aligning bearing at B. The gear weights 100 lbs and supports a 400 lb load in the axial direction (+x-direction), a 2000 lb transmitted load (+y-direction), and 600 lb radial load (-z-direction). The pulley weighs 400 lb and supports loads in the +z-direction. a. Construct the V-M-N-T diagrams for the shaft. b. Determine the location on the shaft with the most severe state of stress. c. Sketch the Mohr's circle and find the principal stresses at that location. 6 in. -12 in. - 8 in. YA 400 lb 600 lb Gear 2000 lb 4 in. 1200 lb 200 lb D 8 in. Pulley
- a) A line shaft as shown in Figure Q is driven using a motor placed vertically below it. The pulley on the line shaft is 1.6 m in diameter and has belt tensions 7.5 kN and 2.4 kN on the tight side and slack side of the belt respectively. Both tensions may be assumed to be vertical and the weight of the pulley is negligible. If the pulley is overhang from the shaft, the distance of the centre line of the pulley from the centre line of the bearing being 500 mm.6.Figure Q(i) Predict using distortion energy theory, the appropriate diameter of the shaft that failure will not occur if the yield strength, Sy = 370 Mpa and factor of safety is 2.5. (ii) Assuming the maximum allowable shear stress of 42 MPa, find its diameter using maximum shear stress theory. (iii) Comparing the diameters in (i) and (iii) above, which of them would you have used to design your shaft and why?4-Determine the rotation angle between A and C, if the torque is T=0.9 N.m in point C, if G=80 GPa and diameter of all shafts are D=4 mm. (The radius of small circle are r and the bigger one are 2r) e are Coder 40 T=09N.NIn the design in the figure, a force of Fn=1912 N in the vertical plane and a torque of Md=916 Ncm in the clockwise direction of rotation act on a machine element with a diameter of D=200 mm on the shaft resting on the A and B bearings. If the angle of the force with the horizontal is b=49o, how many Newtons is the resultant radial force to be considered in the bearing calculation of the bearing A? 1-) The diameter of the machine element on which the force acts will not be taken into account in the calculation of the bearing forces (ie, it will be assumed that the Fn force acts on the axis of the shaft). 2-) Pi number will be taken as 3.14.
- For the shaft shown in the figure below, compute the angle of twist of pulleys B and C relative to A. The steel shaft has a diameter of 35 mm throughout its length. The torques are T1= 1500 N · m, T2 = 1000 N · m, = 500 N · m. The lengths are L, = 500 mm, L2 = 800 mm. T3 L2 T |T2 T3 A C B.. The mean diameter of the driving pulley for a vec-belt drive with two belts is 110 mm. The pulley groove angle is 40° and the drive transmits 4.4 kW at a speed of rotation of 1500 rev/min. The coefficient of frietion between belt and pulley 0.32, and the angle of lap is 160°. Determine the driving torque and the maximum stress in the belt material if the cross-sectional area of each belt is 120 mm.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. E
- A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown in The torsional stiffnesses of the two segments of the shaft are given by ka = 3,000 N-m/rad and k2 = 4,000 N-m/rad. The turbine generates a harmonic torque given by M(t) = Mo cos wt about the shaft axis with M, = 200 N-m and w = 500 rads. The mass moment of inertia of the rotor about the shaft axis is Jo = 0.05 kg-m. Assuming the equivalent torsional damping constant of the system as c, = 2.5 N-m-s/rad, determine the steady-state response of the rotor, 6(1). O(1) ke M(1) = M, cos ot Turbine rotor, JoThe figure below shows a shaft of three segments. It is restrained (fixed support) at both sides and is loaded by two torques. Use Gpronze = 35 GPa, Galum = 28 GPa, and Gsteel = 83 GPa. Bronze Aluminum Steel diameter = 25 mm diameter = 50 mm diameter = 25 mm T-300 N.m- K To-700 N.m K D B 2 m - 2 m - 2.5 m Determine the angle of twist developed in steel from support B. Select the correct response: O 0.005 rad 0.516 rad 0413 rad 0.511 rad 日E周 TETET2. The solid shaft ABCDE has a diameter of 30 mm and is simply supported at its ends. The pulleys at B and D are of diameter 200mm and pulley at C is 100mm in diameter. The pulleys are subjected to forces as shown in figure. The forces on pulley B are at an angle of 45° from the negative z-axis. The shaft sections have following lengths: AB = 100mm, BC = 250mm, CD = 250mm, and DE = 100mm. a. Determine the maximum transverse shear stresses (Txy, Txz) anywhere along the beam. Locate the point(s) on the cross-section where the stresses are maximum. 25 N 100 N 500 N 125 N 125 N 25 N AB= 100 BC = 250 CD = 250 DE = 100 E b. Determine the transverse shear stresses (Txy, Txz) at the point where the tensile bending stress is maximum. c. Determine the maximum principal stresses anywhere along the beam and locate the point(s) on cross section.