3.48 The design of the gear-and-shaft system shown requires that steel shafts of the same diameter be used for both AB and CD. It is further required that 7ma60 MPa and that the angle d, through which end D of shaft CD rotates not exceed 1.5. Knowing that G= 77.2 GPa, determine the required diameter of the shafts. 40 mm T 1000 N m 100 mm 400 mm 600 mm

3.48 The design of the gear-and-shaft system shown requires that steel shafts of the same diameter be used for both AB and CD. It is further required that 7ma60 MPa and that the angle d, through which end D of shaft CD rotates not exceed 1.5. Knowing that G= 77.2 GPa, determine the required diameter of the shafts. 40 mm T 1000 N m 100 mm 400 mm 600 mm

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

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3.42 The angle of rotation of end A of the gear-and-shaft system shown must not exceed 4°. Knowing that the shafts are made of a steel for which Tall = 65 MPa and G = 77.2 GPa, determine the largest torque T that can be safely applied at end A. 30 mm B Tahap 60 mm 90 mm 30 mm 0.2 m 0.4 m 0.2 m 0.1 m 0.5 m
2- The design of the gear-and-shaft system shown requires that steel shafts of the same diameter be used for both AB and CD. It is further required that $ 60 MPa and that the angle do through which end D of shaft CD rotates not exceed 1.5°. Knowing that G= 77 GPa, determine the required diameter of the shafls. 400 mm 40 mm 100 mm 600 mm T= 1000 N
Two solid shafts are connected by gears as shown. Knowing that G = 77.2 GPa for each shaft, determine the angle through which end A rotates when TA = 1200 N •m. 60 mm 240 mm 80 mm 42 mm 12 m
The design of the gear-and-shaft system shown requires that steel shafts of the same diameter be used for both AB and CD. It is further required that tmay s 60 MPa and that the angle op through which end D of shaft CD rotates not exceed 1.5 degrees. Knowing that G = 77.2 GPa, determine the required diameter of the shafts. 40 mm T = 1000 N-m D 100 mm 400 mm 600 mm ANSWER: mm (use 3 significant figures)
3.36 The torques shown are exerted on pulleys B, C, and D. Knowing that the entire shaft is made of aluminum (G = 27 GPa), deter- mine the angle of twist between (a) C and B, (b) D and B. 30 mm 30 mm 400 N- m GG 36 mm 900 N- m 36 mm 500 N. m B "0.6 m E. 0.5 m D m 0.5 Fig. P3.36
Two solid shafts are connected by the gears shown. Knowing thatG = 77 GPa for each shaft, determine the angle through which end A rotates when TA=1200 N·m.
30 mm PROBLEM 3.36 30 mm The torques shown are exerted on pulleys B, C, and D. Knowing that the entire shaft is made of steel (G = 27 GPa), determine the angle of twist between (a) C and B, (b) D and B. 400 N. m 36 mm 900 N- m 36 mm 500 N- m u 90. 0.8 m 1 m 0.5 m PBC = 8.54° PBD = 2.11° %3D
3.46 The electric motor exerts a torque of 800 N · m on the steel shaft ABCD when it is rotating at a constant speed. Design specifications require that the diameter of the shaft be uniform from A to D and that the angle of twist between A and D not exceed 1.5°. Knowing that Tmas s 60 MPa and G = 77 GPa, determine the minimum diameter shaft that can be used. 300 N- m 500 N- m 04 m 0.6 m 0.3 m Fig. P3.46
as shown, determine the angle of twist between (a) B and C, 3.35 The electric motor exerts a 500 N•m-torque on the aluminum shaft ABCD when it is rotating at a constant speed. Knowing that G = 27 GPa and that the torques exerted on pulleys B and C are as shown, determine the angle of twist between (a) R are 300 N. m 200 N - m 4S min 0.9 m B 44 mm 1.2 m 40 mm Fig. P3.35
Q.1) Two torques are applied to the solid bronze ( G= 6500 ksi) shafts of a gear system shown below. The diameters of shafts AB and CD are 1.25 inch and 1.0 inch, respectively. The shaft CD ix fixed at D and the bearings at A, B, and C are frictionless. Determine the maximum shear stress in each of the shaft and the rotation of end A. 10 in. 30 in. 80 lb·ft A 40 lb ft 8 in. 10 in. 6 in. B 4 in. 12 in.
Two solid steel shafts, each of 30-mm diameter, are connected by the gears shown. Knowing that G= 77.2 GPa, determine the angle through which end A rotates when a torque of magnitude T=200 N·m is applied at A.
Three shafts and four gears are used to form a gear train that will transmit 6.7 kW from the motor at A to a machine tool at F. (Bearings for the shafts are omitted in the sketch.) Knowing that the frequency of the motor is 30 Hz and that the allowable stress for each shaft is 60 MPa, determine the required diameter of each shaft. The required diameter of shaft AB is mm. The required diameter of shaft CD is mm. The required diameter of shaft EF is mm.