The nature of the stresses
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- A transmission shaft supporting a helical gear B and an overhung bevel gear D is shown in Figure. The shaft is mounted on two bearings, A and C. The pitch circle diameter of the helical gear is 450 mm and the diameter of the bevel gear at the forces is 450 mm. Power is transmitted from the helical gear to the bevel gear. The gears are keyed to the shaft. The material of the shaft is steel 45C8 (ou = 750 N/mm?). The factors kp and k; of ASME code are 2.0 and 1.5 respectively. Determine the shaft diameter using the ASME code. 400 400 400 270 250, 640 210 640 100The rotating solid steel shaft is simply supported by bearings at points B and C and is driven by a gear (not shown) which meshes with the spur gear at D, which has a 140-mm pitch diameter. The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point A of TA = 260 N-m. The shaft is machined from steel with Sy = 400 MPa and Sut = 560 MPa. Assume factor of safety and all other factors as (one) 1,. Determine the minimum allowable diameter of the 100-mm section of the shaft for infinite life (selectec criter sould be written at the begining of the solution) 250 mm 100 mm 208.10 Two equal involute gear wheels of 40 teeth each, 3 mm module and 20° pressures angle are in mesh. Determine the minimum addendum if 2 pairs of teeth are always in mesh. The gear wheels rotate at 750 r.p.m. and transmit 4.6 kW. Find the normal force at each pair assuming equal direction of load between the pairs. Neglect friction.
- Calculate the angle of twist at point A. A for the following diagrammed problem. There is a 1600 lb-in torque T applied at A. Shaft AB is 12 in. long, and shaft CD is 8 in. long. Gear B has 8 in. diameter, and Gear C has 5 in. diameter. Both shafts have diameter 1 in. Assume that there is no slip between the gears, and that all components are made of steel with shear modulus G-29 × 10° psi. TA = 1600 lb in A 12 in B C 8 in D1) A pair of cast iron bevel gears connect two shafts at right angles. The pitch diameters of the pinion and gear are 80 mm and 100 mm respectively. The tooth profiles of the gears are of 14 1/2° composite form. The allowable static stress for both the gears is 55 MPa. If the pinion transmits 2.75 kW at 1100 r.p.m., find the module and number of teeth on each gear from the standpoint of strength and check the design from the standpoint of wear. Take surface endurance limit as 630 MPa and modulus of elasticity for cast iron as 84 kN/mm2.1) A pair of cast iron bevel gears connect two shafts at right angles. The pitch diameters of the pinion and gear are 80 mm and 100 mm respectively. The tooth profiles of the gears are of 14 1/2° composite form. The allowable static stress for both the gears is 55 MPa. If the pinion transmits 2.75 kW at 1100 r.p.m., find the module and number of teeth on each gear from the standpoint of strength and check the design from the standpoint of wear. Take surface endurance limit as 630 MPa and modulus of elasticity for cast iron as 84 kN/mm². A0a& ENG 1222/20 nere to search
- The rotating solid steel shaft is simply supported by bearings at points B and C and is driven by a gear (not shown) which meshes with the spur gear at D, which 250 mm has a 150 mm pitch diameter. The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point A of T = 340 N. m. The shaft 100 mm is machined from steel with S, = 420 MPa. Using a factor of safety of 2.5, determine the minimum allowable diameter of the 250 mm section of the shaft based on a static yield analysis using the distortion energy theory and maximum shear stress theory.A transmission shaft supporting a helical gear B and an overhung bevel gear D is shown in Fig. bearings, A and C. The pitch circle diameter of the helical gear is 450 mm and the diameter of the bevel gear at the forces is 450 mm. Power is transmitted from the helical gear to the bevel gear. The gears are keyed to the shaft. The material of the shaft is steel 45C8 400 The shaft is mounted on two 400 400 270 250 ]640 210 640 The factors k, and k, of ASME code are 2.0 and 1.5 respectively. Determine the shaft diameter using the ASME code. 1002. A shaft is supported on bearings A and B, 800 mm between centres. A 20 degrees straight tooth spur gear having 600 mm pitch diameter, is located 200 mm to the right of the left hand bearing A, and a 700 mm diameter pulley is mounted 250 mm towards the left of bearing B. The gear is driven by a pinion with a downward tangential force while the pulley drives a horizontal belt having 180 degrees angle of wrap. The pulley also serves as a flywheel and weighs 2000 N. The maximum belt tension is 3000 N and the tension ratio is 3: 1. Determine the maximum bending moment and the necessary shaft diameter if the allowable shear stress of the material is 40 MPa.
- A steel shaft 800 mm long transmitting 15 kW at 400 r.p.m. is supported at two bearings at the twoends. A gear wheel having 80 teeth and 500 mm pitch circle diameter is mounted at 200 mm from theleft hand side bearing and receives power from a pinion meshing with it. The axis of pinion and gearlie in the horizontal plane. A pulley of 300 mm diameter is mounted at 200 mm from right hand sidebearing and is used for transmitting power by a belt. The belt drive is inclined at 30° to the vertical inthe forward direction. The belt lap angle is 180 degrees. The coefficient of friction between belt andpulley is 0.3. Design and sketch the arrangement of the shaft assuming the values of safe stresses as :τ = 55 MPa; σt= 80 MPa. Take torsion and bending factor 1.5 and 2 respectively.A transmission shaft supporting a helical gear B and an overhung bevel gear D is shown in Fig. bearings, A and C. The pitch circle diameter of the helical gear is 450 mm and the diameter of the bevel gear at the forces is 450 mm. Power is transmitted from the helical gear to the bevel gear. The gears are keyed to the shaft. The material of the shaft is steel 45C8 The factors k, and k, of ASME code are 2.0 and 1.5 respectively. Determine the shaft diameter using the ASME code. 400 The shaft is mounted on two 400 400 270 250 210 640i ]640 100TORSION An aluminum shaft with a constant diameter of 70 mm is loaded by torques applied to gears attached to it. Use G = 28 GPa. DETERMINE: A. the relative angle of twist of gear D relative to gear A (in degrees) B. the direction of the rotation of A relative to D? PROVIDE FBD