A line shaft supporting tw supplied to the shaft by m transmitted to the pulley on tight and loose sides i kN. The shaft is made of = 380 N/mm2). The pull the shaft if, k, = 1.5 and
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- 5. Design a sleeve coupling for the transmission of 12 kW at 300 rpm by two connected steel shafts. Take service factor KS 1.25. The sleeve is made of CI. The key and the shaft are made of the same material. Allowable stress: Shear stresses in key and shaft 50 MPa Crushing stress in key= 100 MPa Shear stress in CI sleeve = 10 MPaTo transmit 20 kW at 1000 rpm with a service factor of 3, a rigid flange coupling should be designed. Find the size of the shaft, the key and the flange if the shaft and the key are made of steel with allowable shear stress of 100 MPa and allowable crushing stress of 220 MPa and the flange is made of cast iron with allowable shear stress of 12 MPa.A solid steel shaft with an outsidediameter of 1.5 in. is supported in flexiblebearings at A and C as shown in FigureP15.43/44. Two pulleys are keyed to the shaft atB and D. Pulley B has a diameter of D B = 14 in.and belt tensions of T 1 = 100 lb and T 2 = 220 lb.Pulley D has a diameter of D D = 7 in. and belttensions of T 3 = 60 lb and T 4 = 300 lb. Lengthdimensions of the shaft are x1 = 8 in., x2 = 4 in.,x3 = 3 in., and x4 = 6 in. Determine the normaland shear stresses at point K on the shaft. Showthe orientation of these stresses on anappropriate sketch.FIGURE P15.43/44
- The open V-belt drive system shown in Figure 3 has a groove angle of 30° and is used as a speed booster. The input shaft rotates at 500 rpm and has a sheave with a pitch diameter of 7.218 in and the output shaft has a sheave with a pitch diameter of 3.609 in. The center distance between the two shafts is 15.01 in. The coefficient of friction is 0.25 and the maximum tension in the tight side of the belt is 300 lb. Determine; The maximum power transmitted by the belt if its mass is 0.04 slug/ft. [Hint: P 8 (T-T2)xv P in horse power (hp), T, and T, in (lb). v in (ft/min)]. 33000 Belts and Chains 4-d. sin-4-d, 20The open V-belt drive system shown in Figure 3 has a groove angle of 30° and is used as a speed booster. The input shaft rotates at 500 rpm and has a sheave with a pitch diameter of 7.218 in and the output shaft has a sheave with a pitch diameter of 3.609 in. The center distance between the two shafts is 15.01 in. The coefficient of friction is 0.25 and the maximum tension in the tight side of the belt is 300 lb. Determine; 1. The angular velocity of the output shaft. 2. The belt wrap on the input and output sheaves. 3. The belt perimeter length. 4. The length of span between sheaves. 5. The maximum power transmitted by the belt if its mass is 0.04 slug/ft. [Hint: P 8 (T-T2)xv P in horse power (hp), T, and T, in (lb). v in (ft/min)]. 33000 Belts and Chains 4-d. sin-4-d, 20 Figure 3Figure below shows a portion of a pump that is gear-driven at uniform load and speed. The 25 mm diameter solod shaft supported by the bearings is to be made of machined AISI 1045 CD steel. The helical gear is subjected to the axial force F-498 y a radial load F- 750 N and a tangential load of F-1.995 N. Assume the component is g at room temperature of 70F and the material has s0s reliability factor. Hint: Be careful when you calculate the bending moment at the fillet, as all the three forces on the helical gear cause bending moment at the fillet. Calculate resultant bedina moment from all the three forces. Bending moment is completely reversed loading.) 25-mm solid round shaft Fillet Bending K, = 2.0 Torsional k, = 1.5 Axial K,18 F. F, F Pump Helical spur gear -50 mm -250-mm dia FIGURE 1. Identify the critical locations) of stress and show it clearly in a diagram. 2 Identity cleary, all the components of stresses (at the critical point) that will be calcurated (by drawing and clearty…
- . 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.A gear reduction unit uses the countershaft shown in the figure. Gear A receives power from another gear with the transmitted force FA applied at the 20 pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force Fg at the pressure angle shown. For the steel countershaft shown below, assume the bearings have a maximum slope specification of 0.064" for good bearing life. Does the dia shown below meet the requirement? if not determine a suitable shaft diameter. 1.25-in da Gear A F₁-300- Gear B Sindia The minimum shaft diameter is in.Figure below shows a portion of a pump that is gear-driven at uniform load and speed. The 25 mm diameter solod shaft supported by the bearings is to be made of machined AISI 1045 CD steel. The helical gear is subjected to the axial force F =499 y a radial load F = 741 N and a tangential load of F=2,006 N. Assume the component is operating at room temperature of 70°F and the material has 50% reliability factor. 25-mm solid Bending K, = 2.0 round shaft Fillet Torsional K = 1.5 F. F, Axial K, = 1.8 F Pump Helical spur gear 50 mm -250-mm dia.- FIGURE 1. Identify the critical location(s) of stress and show it clearly in a diagram. 2. Identify cleary, all the components of stresses (at the critical point) that will be calculated (by drawing and clearly showing the XYZ axes) and show it in a matrix form. Show which components of stresses will have a value zero or non-zero. 3. Calculate the principal stresses and principal directions. Show the principal stresses clearly in a stress element…
- 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?2 A line shaft supporting two pulleys A and B is shown in figure below. Power is supplied to the shaft by means of a vertical belt on the pulley A, which is then transmitted to the pulley B carrying a horizontal belt. The ratio of belt tension on tight and loose sides is 3:1. The limiting value of tension in the belts is 2.7 kN. The shaft is made of plain carbon steel 40C8 (Sut = 650 N/mm2 and Syt = 380 N/mm2). The pulleys are keyed to the shaft. Determine the diameter of the shaft if, k, = 1.5 and k, = 1.0. B 2504 P3 450 P4 450 450 250 P, P2Q: Figure (1) shows a schematic drawing of a countershaft which is part of the conveyor system and supports two belt pulleys (A & B). The belt tensions are parallel for pulley B and inclincd with angle 45° for pulley A. The pulley A reccives a power from a motor and then delivers to conveyor belt through pulley B. All dimensions are in mm. Required: Design the shaft as shown in figure (1) at points O, A, B & E. Pulley B Material Discharge Material Fead Pulley A Conveyor System -Tail Pulley Gear box- Sepport Belt Motor Drive balt 300 310.5 N 400 46.5 N 150 Figure (1) 250 dia.- 300 dia. 50 N Pulley A Pulley B 270 N Page 1 of 1