shaft made of steel receives 7.5 kW power at 1500 r.p.m. A pulley mounted on the shaft as shown Fig. has ratio of belt tensions 4. The gear forces are as follows : F, = 1590 N; F, = 580 N
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- A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and T2acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of dv- 2.25 in. and a length Lt= 30 in.; the smaller segment has a diameter d2— 1.75 in. and a length L, = 20 in. The torques are T, = 21,000 lb-in. and fz=10.000 lb-in. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: x = L1/2 and x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams (FBDs).A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The inside diameter of the shaft is to be one-half of the outside diameter. If the allowable shear stress in the shaft is 45 MPa, what is the minimum required outside diameter d?A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at B, The allowable shear stress in the steel is 6000 psi. Calculate the required speed of rotation (number of revolutions per minute) so that the shear stress in the shaft does not exceed the allowable limit.
- A full quarter-circular fillet is used at the shoulder of a stepped shaft having diameter D2= 1.0 in. (see figure), A torque T = 500 lb-in. acts on the shaft. Determine the shear stress at the stress concentration for values as follows: D1= 0.7,0.8, and 0.9 in. Plot a graph showing versus D?A solid circular shaft AB of diameter d is fixed against rotation at both ends (sec figure), A circular disk is attached to the shaft at the location shown. What is the largest permissible angle of rotation 0max of the disk if the allowable shear stress in the shaft is Tallow? [Assume that a >b. Also, use Eqs. (3-50a and b) of Example 3-9 to obtain the reactive torques.]A shaft made of steel receives 7.5 kW power at 1500 r.p.m. A pulley mounted on the shaft as shown in Fig. has ratio of belt tensions 4. The gear forces are as follows: F,= 1590 N; F, = 580 N Pulley T1 Gear F, A D F, -100- 200- 100 All dimensions in mm. Design the shaft diameter by maximum shear stress theory. The shaft material has the following properties : Ultimate tensile strength = 720 MPa: Yield strength = 380 MPa; Factor of safety = 1.5.
- A shaft made of steel receives 7.5 kW power at 1500 rpm. A pulley mounted on the shaft as shown in Fig. has ratio of belt tensions 4. The gear forces are as follows: Ft = 1590 N; Fr=580 N Designe the shaft diameter by maximum shear stress theory. The shaft material has the following properties: Ultimate tensile strength = 720 MPa: Yield strength = 380 MPa: Factor of safety = 1.5Q/A shaft supported at the ends in ball bearings carries a straight tooth spur gear at its mid span and is to transmit 7.5 kW at 300 r.p.m. The pitch circle diameter of the gear is 150 mm. The distances between the centre line of bearings and gear are 100 mm each. If the shaft is made of steel and the allowable shear stress is 45 MPa, determine the diameter of the shaft. Show in a sketch how the gear will be mounted on the shaft; also indicate the ends where the bearings will be mounted? The pressure angle of the gear may be taken as 20°.A solid brass shaft is loaded as shown below by two torques TB- segments are LAB = 700 mm and LBC 600 mm. A dBc = dAB mm LAB mm B Com dBC For brass, G = 41 GPa. Neglect the effect of any stress concentrations. LBC Determine the smallest diameters dAB and dBC for which an allowable shear stress of 50 MPa is not exceeded. Express each diameter as an integer in units of mm. dAB To 1100 Nm and Tc = 300 Nm. The lengths of the two Determine the magnitude of the total angle of twist in the shaft caused by the two applied torques for the diameters found previously Express your result in units of radians with five decimal places of accuracy. PAC = rad
- 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/mm2.1) 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 searchA solid constant-diameter circular shaft is subjected to the torques of TA = 480 lb-ft, TB = 1060 lb-ft, Tc= 860 lb-ft, and Tp = 280 lb-ft, acting in the directions shown. The bearings shown allow the shaft to turn freely. (a) Plot a torque diagram showing the internal torque in segments (1), (2), and (3) of the shaft. Use the sign convention presented in %D Section 6.6. (b) If the allowable shear stress in the shaft is 5800 psi, what is the minimum acceptable diameter for the shaft? TB TA Tc (1) Tp (3) В C D Answer: (a) T1 = Ib-ft T2 = Ib-ft T3 = Ib-ft (b) d = in.