4. Drive shaft as shown in the figure, the input power of driving wheel P=50KW, the output power of driven wheels 2,3 and 4 are P2=10KW, P3= P#20KW. The speed of the shaft is n=300r/min. Determine: (1) the torque diagram of the shaft; (2) If the position of driving wheel 1 and driven wheel 3 is interchanged, try to analyze whether it is beneficial to the stress of the shaft. 0.8 m |- 0.8 m 0.8 m
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- The problem is stated below. However, change the position of torque to point C from point D. What is the effect of variation of torque placement in shaft CB?In the figure below, a motor with power 150kw and speed of 2500 rpm is connected to shaft 1(by coupling) in a clockwise direction. Shaft 2 is connected to shaft 1 by gears 1 and 2. If 30% of the power is consumed by the gear3 and 9% by the pulley and 61% by the sprocket, draw torque diagrams for both shafts. • Lengths: AB=90mm/BC=GH=50mm/CD3HI=60mm/DE=IJ=80mm 13 Gear3 E Gear2 14 15 16 Motor shafth 2. 17 Bearing Shaft1 Gear1 sprocketAs shown in the Figure below, the speed of the transmission shaft is n=200 r/min, the input power of the driving wheel A is PA =40 kW, and the output power of the three driven wheels (B, C and D) are PB =20 kW, PC =PD =10 kW, respectively. Solving the torque diagram of this shaft.
- Q2 / A shaft transmitting 15kW at 200r.p.m. are supported by two bearings placed 1 m apart. A 600 mm diameter pulley 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 2.25kN. Another pulley 400 mm diameter is placed 200 mm to the left of right hand bearing and is driven with the help of electric motor and belt having maximum tension of 3.376kN, which is placed horizontally to the right. The angle of contact for both the pulleys is180° and =0.24. Determine the suitable diameter for a solid shaft if the bending moment acting on the shaft is reversed, allowing working stress of 42MPA in shear for the material of shaft and have yield stress of 400MPA and ultimate stress of 500MP.. And design the keys which support each pulley if the material of the keys is the same for the material of shaft.In the figure below, a motor with power 150kw and speed of 2500 rpm is connected to shaft 1(by coupling) in a clockwise direction. Shaft 2 is connected to shaft 1 by gears 1 and 2. If 30% of the power is consumed by the gear3 and 9% by the pulley and 61% by the sprocket, draw torque diagrams for both shafts. If the pressure angle of the gears is 20 degrees to the x-axis, Calculate the reaction forces of the bearings and draw the bending moment diagrams for both shafts according to the information below: Lengths: AB=90mm/BC=DGH=50mm/CD=HI=60mm/DE=IJ=80mm Diameters: dG1=dG2=47mm/ dG3=20mm/ d(pulley)=35mm/d(sprocket)=40mm Gears Gear2 Tew) shaftz Bearing Shaft Gear1 SProcket3. A motor is connected by a belt to pulley B. T, is the tight-side tensile force equal to 1800 N. The shaft spins at a constant speed, 650 rpm. The power delivered by the motor is 12.6 kW. On pulley A, connected to the load, the slack side of the belt has a tension equal to th of the tight side. b T T, B d shaft Dimensions are as follows: da 200 тm 300 тт | 250 тm |180 тm | 250 тm 26 тm dB dahaft a We analyzed a problem similar to this on Test 01 using static failure theories. Is this strictly correct? Because the shaft is spinning, would not a material particle see a time-varying reversal of the the bending stress as in the R.R. rotating beam test? Would a particle see a reversal of the torsional shear stress? Assume Sut = 370 MPa and Sy = 300 MPa. Ignore Marin factors. Ignore stress concentrations. Ignore direct shear stress (that due to V). Find the safety factors with respect to fatigue and yielding. Be guided by section 6-14 on combined loading.
- In a reciprocating engine which has four cylinders in line, the reciprocating masses are each 0.5 kg per cylinder. The stroke is 120 mm, and the connecting rods are 450 mm long. The firing order of the engine is 1-4-2-3 and the cranks are set at 90° to each other. The cylinders are spaced 140 mm apart and the engine speed is 2000 rev/min. Find: 1.The maximum out-of-balance primary and secondary forces. 2. The maximum out-of-balance primary couples.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?Project 1: A Pully drive system used in washing machine is designed based on flat belt as in Figure.1/a. The tension in the pully is 115 N when it is stationary. The flat and V-belt type as well as the geometry specifications (Diameters and lap angle) are shown in Figure.2. The speed of rotation N is 1400 rpm and the coefficients of friction is u = 0.25 Flat Belt V-Belt (b) Figure.1: Flat vs V-belt pully drive section (а) lap angle = 480 mm D = 160 D,=240 mm Figure.2: Pully drive system specifications HT Page 5 of 10 الحسين التقنية Al Hussein Technical 1. Find the initial tension in each side 2. Find the power transmitted on the smaller wheel 3. Discuss the initial tension requirements/calculations to convert the system to the operation of a V-belt drive, if the included angle of V-section B = 15° (assume same u ), in your discussion compare the critical tension ration for both type and the transmitted power values.
- Consider a rotary motion axis driven by an electric motor. The rotary load is directly connected to the motor shaft with gear speed reducer of gear ratio = 5 and gear efficiency = 0.75. The rotary load is a solid cylindrical shape made of Aluminium material, d=50 mm, l=35 mm, p=2710 kg/m³. The desired motion of the load is a periodic motion as shown in figure. Motor rotor Desired Motion T. Gear ra Load T tame The total distance to be travelled is % of a revolution. The period of motion is tcyc=300 msec., and dwell portion of it is taw=100 msec., and the remaining part of the cycle time is equally divided between acceleration, constant speed and deceleration periods, t,-t,-ta=50 msec. Determine the required motor size for this application.2. Two shafts, one solid the other one hollow, are connected end to end by means of a coupling in which there are 8 screws on the pitch diameter D = 250 mm. The solid shaft has diameter d = 50 mm and transfers the power P = 500 kW at 75 rev/s. The external diameter of the hollow shaft is dex = 75 mm. %3D Note: All parts of the system must be equally strong, and able to transfer the required power Calculate: (a) The internal diameter d; of the hollow shaft (b) The diameter of the bolts d, connecting the two shafts (c) If the hollow shaft has to be replaced by a rectangular hollow cross-section with outer dimensions b xh and uniform wall thickness of 4 mm. Calculate the values b, h while following the request to keep h = 2b5. For the engine-transmission-propeller problem shown below, The engine generates a torque of 219lb-ft, and it is bolted to a frame at locations A and B. The transmission reverses the rotation direction. The transmission ratio is 1.5 (i.e. the propeller speed is -1/1.5 the engine speed, the minus sign indicates the change in direction). d. Sketch the free body diagram. Be sure to show the torques at the input and outputs to the different components. Note the change in the rotation direction between the engine and shaft. e. Solve for the reaction forces at the bolt supports of the engine, if the distance between them is 1 ft. Propeller Engine Reduction ratio 1.5 Engine is attached B