MIN : The rotating solid shaft with a diameter d = 7 [mm] is simply supported by bearings at points B and C and is driven by a gear which meshes with the spur gear at D, which has a 100-mm pitch diameter. The force F = 100 [N] from the drive gear acts at a pressure angle of 20°. The shaft is machined from steel with Sy = 420 [MPa] and Sut= 560 [MPa]. Determine the factor of safety using a fatigue-failure analysis. Assume K, 2, and Kts = 2.4.

MIN : The rotating solid shaft with a diameter d = 7 [mm] is simply supported by bearings at points B and C and is driven by a gear which meshes with the spur gear at D, which has a 100-mm pitch diameter. The force F = 100 [N] from the drive gear acts at a pressure angle of 20°. The shaft is machined from steel with Sy = 420 [MPa] and Sut= 560 [MPa]. Determine the factor of safety using a fatigue-failure analysis. Assume K, 2, and Kts = 2.4.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

PROBLEM 4 2 5 6 Y www. 9 8 The scheme of gear train is shown in Figure. The diameters of wheels 1, 2, 3, 4, 5, 6, 7, 8 and 9 are 70 [mm], 40 [mm], 80 [mm], 30 [mm], 20 [mm], 40 [mm], 80 [mm], 100 [mm] and 40 [mm]. Angular velocity of gear 1 is 40 rad/s. Determine: the angular velocity of arm A the angular velocity of gear 4 -
A compound shaft drives three gears. Segments (1) and (2) of the compound shaft are hollow aluminum [G=2860 ksi] tubes, which have an outside diameter of 2.75 in. and a wall thickness of 0.28 in. Segments (3) and (4) are solid 2.14-in.-diameter steel [G = 8000 ksi] shafts. Assume that L₁-60 in., L₂=4 in., L3=13 in., L4-12 in, Tg-36 kip-in., Tp-45 kip-in., and TE-17 kip-in. The bearings shown allow the shaft to turn freely. (a) Determine the maximum magnitude of the shear stress Tmax in the compound shaft. (b) Determine the rotation angle CIA of flange Ćwith respect to flange A. (c) Determine the rotation angle EA of gear E with respect to flange A. Answers: (a) Tmax= (b) PCIA (c) ΦΕΙΛ Ξ A i = i (1) 5 B TB L2 (3) L3 ksi. Tp D (4) LA TE E x
A compound shaft drives three gears. Segments (1) and (2) of the compound shaft are hollow aluminum [G=2860 ksi] tubes, which have an outside diameter of 2.75 in. and a wall thickness of 0.28 in. Segments (3) and (4) are solid 2.14-in.-diameter steel [G= 8000 ksi] shafts. Assume that L₁-60 in., L₂=4 in., L3=13 in., L4-12 in, Tg-36 kip-in., Tp-45 kip-in., and Te-17 kip-in. The bearings shown allow the shaft to turn freely. (a) Determine the maximum magnitude of the shear stress max in the compound shaft. (b) Determine the rotation angle (c) Determine the rotation angle of flange C with respect to flange A. of gear E with respect to flange A. Answers: (a) Tmax (b) CIA (C) ΦΕΙΛ = = e 5 11.48 i -2.197 = i -2.74 B TB L2 (3) ksi. Tp TE ᾽Ε
Please help with homework NB:Also show me the gear train ratio, output speed of gear D, torque available on the output shaft, distance between the shafts for Gears C and D [mm],
Motor WORM Cears 2 Fact 4 6 7 (Figure 1) D gear 3, 4, 5, 6, 7 are Spor Gear 1) Draw Free body diagram for (figune 1). draw FBD for gear 2, 3, 4, 5, 6, 7. Should include Force [Fr, Ft), Torque (T] (and speed roration (n) [quess or make Ass Compling] ASS 2) Estimate the torque required to spin (Just the equation No calculation (Example: T = F₂₂ cos(p) ₂)
5. [Ch4 - 3] For the hydraulic system (shown in figure), the following data are given: The pump is adding 3.73 kW to the fluid. • Pump flow is 2 x 10-3 m /s. • The pipe has a 25-mm inside diameter. HYDRAULIC MOTOR A0LOAD • The specific gravity of oil is 0.9. • The kinematic viscosity of oil is 100 cS. sTO. ELBOW (1 cS - 10-6 m/s) • The elevation difference between stations I and 2 is 6 m. PUMP ELECTRIC MOTOR VENT ELEVATION OIL LEVEL • Pipe lengths are as follows: pump inlet pipe length = 1.5 m and pump outlet pipe length up to hydraulic motor 5 m. The pressure at the oil top surface level in the hydraulic tank is atmospheric (0 Pa gage). Find the pressure available at the inlet to the hydraulic motor (station 2).
Problem 3 The gear system shown below has a motor supplying 38 kW at 340 rpm to gear A. Assume the following information: • Shaft (1) is a solid 45-mm-diameter aluminum [G= 22 GPa] shaft with a length of L₁ = 1230 mm. • Shaft (2) is a solid steel [G = 75 GPa] shaft with a length of L₂ = 700 mm. • Shafts (1) and (2) are connected at flange C, and the bearings shown permit free rotation of the shaft. • Assume NÃ=29 teeth and NB=71 teeth. NB A NA B L₁ (1) L2 SES с (2) D TD
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 figure presented below shows a grooved rotating shaft with a ground surface finish that is subjected to a constant bending moment of M = 150 [Nm] and an axial load of P = 10 [kN]. In addition, there is a torsional load that fluctuates between −50 < T < 130 [Nm]. It can be assumed that the torsional loading is in phase and acting at the same frequency as the rotation of the shaft. The radius of the fillet is r = 3 [mm] and a reliability of 90% is desired. The shaft is made from steel having Sut 935 [MPa] and Sy = 880 [MPa]. Find the safety factor for both the infinite fatigue life (n.) and for 3 × 105 cycles (n3×105). = M = 150 [Nm] to r = 3 [mm] D = 36 [mm] -50 < T < 130 [Nm] d = 30 [mm] P = 10 [kN]
Example(8):-The dimension of various links in a mechanism, as shown in the figure, are as follows: AB = 60 mm; BC = 400 mm; CD = 150 mm; DE = 115 mm; and EF = 225 mm. Find the velocity of the slider (F) when the crank (AB) rotates uniformly in clockwise direction at a speed of (60 r.p.m). [Ans. 0.23 m/sec]. 225 110 30 90° E All dimensions in mm D OSI
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 2.15 in. and a wall thickness of 0.2100 in. Segments (3) and (4) are solid 1.00-in.-diameter steel [G= 11,500 ksi] shafts. The shaft lengths are L₁ = 78 in., L₂ = 12 in., L3 = 20 in., and L4 = 26 in. The torques applied to the shafts have magnitudes of TB = 990 lb-ft, Tp = 450 lb-ft, and TE = 160 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. TB TD (1) TE (3) Answer: (a) Tmax (b) DC/A = (C) ΦΕΙΑ = LI (2) B psi rad rad C L3 D (4) LA E -X
Figure Q6b shows a simply supported 3.75 m long beam with a solid round cross- section and a concentrated point load of 250 kN acting at the mid-point of the beam. If the diameter of the beam cross-section is 165 mm, calculate the maximum tensile stress [Otensile_max] and the maximum compressive stress [Ocompressive_max] experienced by the beam. Use /xx = [4/4] for the second moment of area of a round section beam about its x-x centroid axis. Assume that the weight of the beam is zero and that the beam section is solid and uniform along its entire length. Give your answer in N/mm² to 2 decimal places. Load Î Support Figure Q6b F B