(a) Figure 5 shows two shafts connected by the gears. End A of the shaft is connected to a motor while end D is fixed at the support. When the motor operates the power from the motor will be transmitted through transmission shafts. Sketch the twisting moment produced by the motor and that transmitted to the machine at gears using curved arrows. 16m 15 150 75 m Red support
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- A belt drive is used to transmit power from an electric motor to a compressor for a refrigerated truck. The compressor must still operate when the truck is parked and the engine is not running. The 50-hp electric motor is rated at 150+X rpm (where value of X = 50), and the motor sheave diameter is 5+d1 in. (where value of d1 = 5). The compressor sheave has 8+d2 in (where value of d2 = 5) diameter. The center distance of the drive is 15 in. Determine the appropriate industrial V belt size, the length of belt, operating speed of compressor and belt speed.Determine the resisting torque at support A and B , of the shaft shown in the figure.The transmission is made up of four helical gears and two bearings conics that are located at point A and point B. Following the arrangement of coordinate axes shown In Figure 1, the forces acting on the pitch circle of the pinion (25 teeth) and the gear (50 teeth) with a transmitted torque of 868 Nm between the gear location. Obtain the reactions (Fby, Fay, Faz, Fbz) of the bearings
- The shaft, is driven by pulley B from an electric motor. Another belt drivefrom pulley A is running a compressor. The belt tensions for pulley A are 1500 N and 600 N. The ratioof belt tensions for pulley B is 3.5. The diameter of pulley A is 150 mm and the diameter of pulley B is 480 mm. The allowable tensilestress for the shaft material is 170 MPa and the allowable shear stress is 85 MPa. Taking torsion andbending factors as 1.25 and 1.75 respectively, find the shaft diameter.Also find out the dimensions for a hollow shaft with outside diameter limited to 30 mm. Compare theweights of the two shafts. [Ans. 30 mm ; 24 mm ; 1.82 Given Length CD=350mm Length AB=150mm Length BD=100mm The total length is CD =350A shaft is supported by two bearings placed 1.2 m apart. A pulley of diameter Dc meter is mounted at a distance of 300 mm to the right of left hand bearing and this drives a pulley directly below it with the help of belt having maximum tension of 2.25 kN. Another pulley of diameter Dd meter is placed 200 mm to the left of right hand bearing and is driven with the help of electric motor and belt, which is placed horizontally to the right. The angle of contact for both the pulleys is 180° and μ = 0.24. Determine the suitable diameter for a solid shaft, allowing working stress of 63 MPa in tension and 42 MPa in shear for the material of shaft. Assume that the torque on one pulley is equal to that on the other pulley. Dc in mm = 575Dd in mm = 475The figure shows the rear rotating axle of a 4-wheel wagon with the same FRONT AXLE design and REAR AXLE design. The wagon moves at a constant speed and the diameter of the wheels carrying the axle is D=512 mm and the circumferential speed=3.1 m/s. Due to the load (m) on the wagon, a force of 16574 Newtons acts in the vertical direction. ALSO, a horizontal force of 21% of the vertical load acts on the wagon laterally (horizontally) in bends. It is planned that the bearings of the axle will be bearing 6008 deep groove ball bearings. Calculate the life of bearing A in hours.The radial effect of lateral loads will not be taken into account in the bearing force calculation. Fo.Fa/Co = 1.38 Pi=3.14
- A compound shaft drives several pulleys, as shown. Segments (1) and (2) of the compound shaft are hollow aluminum (G = 4000 ksi) shafts that have a polar moment of inertia of J = 2.835 in4. Segments (3) and (4) are solid steel (G = 12000 ksi) shafts that have polar moment inertia of J = 1.024 in4. The bearings shown allow the shaft to turn freely. Assume TB = 980 lb.ft TD= 525 lb.ft TE = 130lb.ft L1 =74in L2 =29in L3 =34in L4 =35in. Calculate the rotation angle (including the correct sign) of pulley E with respect to point A.A bar is attached to the spring at the point C. The left end of the bar is pin supported and can rotates about the pin at Point A. The mass of the bar is m=20kg. The total length of the bar is LAB=3m and LAC=2m. Point A is 0.6 m below the ceiling. A clockwise constant couple moment M= 30Nm is applied on the bar so that the bar rotates from the horizontal position with θ=0° to the vertical position with θ=90°. The spring always maintains at the vertical position. The spring’s stiffness coefficient is k=30N/m and its unstretched length is 0.5 m. The acceleration due to gravity g=9.81 m/s2. During the process that the bar rotates from the horizontal position to the vertical position, determine the following. (4) the work done by the reaction force of the pin.____________ (J)A bar is attached to the spring at the point C. The left end of the bar is pin supported and can rotates about the pin at Point A. The mass of the bar is m=20kg. The total length of the bar is LAB=3m and LAC=2m. Point A is 0.6 m below the ceiling. A clockwise constant couple moment M= 30Nm is applied on the bar so that the bar rotates from the horizontal position with θ=0° to the vertical position with θ=90°. The spring always maintains at the vertical position. The spring’s stiffness coefficient is k=30N/m and its unstretched length is 0.5 m. The acceleration due to gravity g=9.81 m/s2. During the process that the bar rotates from the horizontal position to the vertical position, determine the following. (2) ) the work done by the couple moment. __________(J) (two decimal places)
- A bar is attached to the spring at the point C. The left end of the bar is pin supported and can rotates about the pin at Point A. The mass of the bar is m=20kg. The total length of the bar is LAB=3m and LAC=2m. Point A is 0.6 m below the ceiling. A clockwise constant couple moment M= 30Nm is applied on the bar so that the bar rotates from the horizontal position with θ=0° to the vertical position with θ=90°. The spring always maintains at the vertical position. The spring’s stiffness coefficient is k=30N/m and its unstretched length is 0.5 m. The acceleration due to gravity g=9.81 m/s2. During the process that the bar rotates from the horizontal position (state 1) to the vertical position (state 2), determine the following. 5) when use T to represent kinetic energy, V potential energy, U work done and if the bar is at rest at state 1, the principle of work-energy in this case could be expressed as____________ . V1+∑U(1-2)=T2+V2 T1+V1=T2+V2…A bar is attached to the spring at the point C. The left end of the bar is pin supported and can rotates about the pin at Point A. The mass of the bar is m=20kg. The total length of the bar is LAB=3m and LAC=2m. Point A is 0.6 m below the ceiling. A clockwise constant couple moment M= 30Nm is applied on the bar so that the bar rotates from the horizontal position with θ=0° to the vertical position with θ=90°. The spring always maintains at the vertical position. The spring’s stiffness coefficient is k=30N/m and its unstretched length is 0.5 m. The acceleration due to gravity g=9.81 m/s2. During the process that the bar rotates from the horizontal position to the vertical position, determine the following. (3) the potential energy of the spring when AB is vertical__________(J)A bar is attached to the spring at the point C. The left end of the bar is pin supported and can rotates about the pin at Point A. The mass of the bar is m=20kg. The total length of the bar is LAB=3m and LAC=2m. Point A is 0.6 m below the ceiling. A clockwise constant couple moment M= 30Nm is applied on the bar so that the bar rotates from the horizontal position with θ=0° to the vertical position with θ=90°. The spring always maintains at the vertical position. The spring’s stiffness coefficient is k=30N/m and its unstretched length is 0.5 m. The acceleration due to gravity g=9.81 m/s2. During the process that the bar rotates from the horizontal position to the vertical position, determine the following. (1) if datum is set as when θ=90°, the gravational potential energy of the bar when AB is horizontal will be ____________(J) (two decimal places)