The shaft shown in the figure below and rotating at a speed of 1 radian / sec transmits 9 kW of power from the gear at the B point to the pulley at the D point. Manufactured from cold drawn AISI 1040 steel, the shaft is machined to the given dimensions and bedded from A and C points. The highest working temperature of the spindle is 50 ° C. At point D; Since (d2 / d3 = 1.1) and (r /d = 0.1), determine the diameter d3 of the shaft using Goodman's theory. (kb = kc = kf = 1, q = 0.8 and qs = 0.9) 200 mm 140 mm

The shaft shown in the figure below and rotating at a speed of 1 radian / sec transmits 9 kW of power from the gear at the B point to the pulley at the D point. Manufactured from cold drawn AISI 1040 steel, the shaft is machined to the given dimensions and bedded from A and C points. The highest working temperature of the spindle is 50 ° C. At point D; Since (d2 / d3 = 1.1) and (r /d = 0.1), determine the diameter d3 of the shaft using Goodman's theory. (kb = kc = kf = 1, q = 0.8 and qs = 0.9) 200 mm 140 mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.12.4P: The stepped shaft shown in the figure is required to transmit 600 kW of power at 400 rpm. The shaft...

See similar textbooks

Similar questions

What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm, inside diameter 40 mm, and shear modulus of elasticity 80 GPa) turning at 600 rpm if the allowable shear stress is 100 MPa and the allowable rate of twist is 3.0°/m?
A special-purpose eye boll with a shank diameter d - 0.50 in. passes through, a hole in a steel plate of thickness tp = 0.75 in. (see Figure) and is secured by a nut with thickness t = 0.25 in. The hexagonal nut bears directly against the steel plate. The radius of the circumscribed circle for the hexagon is r = 0.40 in., so each side of the hexagon has a length 0.40 in. The tensile Forces in three cables attached to the eye bolt are T1= 800 lb, T2= 500 lb. and T3= 124 lb. (a) Find the resultant force acting on the eye bolt. (b) Determine the average bearing stress crhbetween the hexagonal nut on the eye boll and the plate. (c) Determine the average shear stress T aver in the nut and also in the steel plate.
Repeat Problem 3.3-1, but now use a circular tube with outer diameter d0= 2.5 in. and inner diameter di= 1.5 in.
The stepped shaft shown in the figure is required to transmit 600 kW of power at 400 rpm. The shaft has a full quarter-circular fillet, and the smaller diameter D1= 100 mm. If the allowable shear stress at the stress concentration is 100 MPa, at what diameter will this stress be reached? Is this diameter an upper or a lower limit on the value of D2?
The motor shown in the figure supplies 16.5 kW at 1540 rpm at A. Shafts (1) and (2) are each solid 28 mm diameter shafts. Shaft (1) is made of an aluminum alloy [ G=26 GPa], and shaft (2) is made of bronze [ G=45 GPa]. The shaft lengths are L1=3.3m and L2=2.9m, respectively. Gear B has 56 teeth, and gear C has 97 teeth. The bearings shown permit free rotation of the shafts. Determine: the rotation angle of gear D with respect to flange A. [Answer φD/A = 0.314 rad]
The diameters of the solid shafts in the gear wheel set shown in the figure are dAB = 20mm, dCD = 25mm, dEF = 40mm. Since the safety shear stress of each shaft is 90MPa, determine the largest T torque that can be applied. Calculate the total angle of rotation in A for the maximum applied torque value.
A compound shaft drives three gears, as shown in FigureP6.14. Segments (1) and (2) of the shaft are hollow bronze [G =6,500 ksi] tubes with an outside diameter of 1.75 in. and a wallthickness of 0.1875 in. Segments (3) and (4) are solid 1.00 in. diametersteel [G = 11,500 ksi] shafts. The shaft lengths are L1 = 60 in.,L2 = 14 in., L3 = 20 in., and L4 = 26 in. The torques applied to theshafts have magnitudes TB = 960 lb ⋅ ft, TD = 450 lb ⋅ ft, and TE =130 lb ⋅ ft, acting in the directions shown. The bearings shown allowthe shaft to turn freely. Calculate(a) the maximum shear stress in the compound shaft.(b) the rotation angle of flange C with respect to flange A.(c) the rotation angle of gear E with respect to flange A.
A compound shaft drives three gears, as shown. Segments (1) and (2) of the compound shaft are hollow bronze [G = 6,500 ksi] tubes, which have an outside diameter of 2.40 in. and a wall thickness of 0.1375 in. Segments (3) and (4) are solid 1.00-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L1 = 58 in., L2 = 16 in., L3 = 16 in., and L4 = 28 in. The torques applied to the shafts have magnitudes of TB = 970 lb·ft, TD = 430 lb·ft, and TE = 170 lb·ft, acting in the directions shown. The bearings shown allow the shaft to turn freely. Using the sign convention presented in Section 6.6., calculate: (a) the magnitude of the maximum shear stress in the compound shaft. (b) the rotation angle of flange C with respect to flange A. (c) the rotation angle of gear E with respect to flange A.
The motor shown in Fig. P6-47 develops 100 hp at a speed of 360 rpm. Gears A and B deliver 40 hp and 60 hp, respectively, to operating units in a factory. If the maximum shearing stress in the shafts must be limited to 12 ksi, determine a. The minimum satisfactory diameter for the motor shaft. b. The minimum satisfactory diameter for the power shaft. (1 hp=745,7 watts); (1 ksi=6,89 MPa); (1 ft=0,30 m)
In the fabric dye-printing system given in the figure, the motion is transmitted from the electric motor to the drum of the machine. There is a two-stage reducer in between. Number of teeth of gears z1=17; z2=85; z3=18; z4=72; The efficiency of a pair of gears is given as na=0.97 and the efficiency of each of the gearbox shafts and lower bearing pairs to the drum bearing is given as n=0.97. The diameter of the drum will be D=200 mm, the fabric speed will be v=1 m/s and the pulling force required to activate the band will be taken as F-2000 N. a) Find the number of revolutions of the engine. b) Find the required engine power.
The solid steel rotating shaft in the figure is supported at B and C, and is driven by a gear, not seen, which is linked to spur gear D which has a pitch diameter of 150 mm. The drive gear force F acts at a pressure angle of 20 degrees. The shaft transmits a torque to point A of Ta-350 N.m. The properties of machined steel shaft are Sy-420 MPa and Sut-560MPa. Use a safety factor of 2.5 and determine the minimum allowable diameter in section B and C. Assume sharp felt radii at the bearing shoulders to estimate the stress concentration factors.Explain.
As seen in the figure, a construction machine is rotated by a drive mechanism consisting of belt-pulley and spur gear mechanisms. Engine power P = 5.5 kW ; engine shaft speednm = 1500 rpm ; drive pulley diameter Dt = 16 cm ; diameter of the opposite pulley Dk = 55 cm ; number of pinion teeth z1 = 21 ; number of teeth of the counter gearz2 = 60 ; pulley mechanism efficiency ηk = 0.95 ; Since the efficiency of the gear mechanism is ηd = 0.97: a) Find the output shaft speed nç and the torque Mç on this shaft.b) The force on the taut arm of the belt S1 = 450 N;coefficient of friction μ = 0.3 ; If the winding angle α = 160⁰, is the frictionally transmitted moment Ms sufficient to compensate for the Mg moment on the input shaft? Calculate.