Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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- 1. A solid steel shaft ABCDE having diameter d = 40 mm turns with a constant angular velocity and freely in bearings at points A and E. The shaft is driven by a gear at C, which applies a torque T₂ = 625 N_m in the direction shown in the figure. Gears at B and D are driven by the shaft and have resisting torques T₁ and T3, acting in the opposite direction to the torque T2. We know T₁ = 400 N.m, but T3 is not explicitly given in the problem. Segments BC and CD have lengths LBC= 550 mm and LCD = 400 mm, respectively, and the shear modulus G = 80 GPa. Determine the maximum shear stress in each segment of the shaft and the angle of twist between gears B and D. pôrôć -LBC LCD T3 Earrow_forwardA steel 0.75-in diameter shaft (G= 12,000 ksi) is subjected to the following torques in lb-ft: TA = 10; TB = 30; TC = 70; TD = 50. The directions of the applied torques are indicated in the figure The bearings shown allow the shaft to turn freely. The length of each segment is equal to 38 in. (a) Plot a torque diagram showing the internal torque in segments (1), (2) and (3) of the shaft. Show the FBD of each segment using a double-headed arrow to represent each torgue. Determine (b) the maximum shear stress magnitude in the shaft. (c) the rotation angle of pulley C with respect to pulley A.arrow_forwardIf the internal torque experienced by a hollow brass shaft (G = 39 GPa) at a section with diameter d = 100 mm with 3 mm thick walls is T = 12 kNm, which of the following is closest to %3D the magnitude of the minimum shear stress developed on that section? Select one: O A. 262 MPa O B. 501 MPa O C. 279 MPa O D. 533 MPaarrow_forward
- An automobile engine develops a maximum torque of 162Nm. The low gear ratio of transmission is 2.75, while the back axle ratio is 4.25. The effective wheels radius is 0.325m and the co-efficient of friction between the tyre and the road surface is 0.6. If the permissible shear stress is 32373 X 104Pa. Determine the maximum shaft diameter. Assuming that the load is nearly torsional. What is maximum load permissible on each wheel?arrow_forwardA solid constant-diameter shaft is subjected to the torques shown. The bearings shown allow the shaft to turn freely. Determine the internal torque in segment (2) of the shaft. Assume that TA = 130 N-m, TB = 320 N-m, Tc = 371 N-m, and TD = 181 N-m. TD (3) O -208 N-m O -224 N-m O -138 N-m O -190 N-m O -265 N-m Tc (2) B TB (1) TAarrow_forwardThe two solid shafts are connected by the gears shown. The motor constantly supplies 20 kW of power at 15 Hz to system at A. The yield shear stress is 140 MPa for shaft (1) and 220 MPa for the shaft (2), and over all factor of safety is 2. a) Find the diameter of both shafts. b) If the modulus of rigidity of shaft (2) G is 77.2 GPa, calculate the relative angle of twist D with respect to C. 30 teeth B (1) 48 teeth Tp 0.8 marrow_forward
- A composite shaft shown, composed of a steel (G = 77 GPa) core inside an aluminum (G = 25 GPa) jacket, carries a torque, T = 10 kN-m. The shaft is designed such that the aluminum jacket will fail first upon the application of the torque.What must be the minimum shear strength of steel such that the aluminum jacket will fail first? (Please explain)arrow_forwardA metal shaft ABCD with variable cross-section is subjected to three external torques (T₁=28 kip- in, T2=8 kip-in, and T3=10 kip-in) as shown in the figure below. Each torque is acting at the locations marked with circular points along the shaft. Note that a 16-inch long segment of the shaft at the free end (right) has a 1-inch diameter bore. The dimensions (lengths and diameters) of the shaft are given in the figure. Assume deformation is linear elastic and take G=12×106 psi. D [3" 16"- X C T₁ 2" -32"- T₂ 1" diam. bore B -16"- A T3 the bar has a uniform diameter d along its full length, but external torques remain the same and are applied at the same locations. If the failure shear stress for the material is equal to Tfail = 10 ksi, and the factor of safety is equal to 2, determine the required (uniform) diameter d for the bar. Assume that the bar is solid for its entire length.arrow_forwardA solid 0.64-in.-diameter shaft is subjected to the torques shown. The bearings shown allow the shaft to turn freely. Determine the shear stress magnitude in shaft (1). 10 lb-ft 50 lb-ft 70 Ib-ft | (1) 30 lb-ft A (3) B D 3150 psi O 2524 psi 1876 psi O 2331 psi O 2932 psiarrow_forward
- A solid circular steel shaft having an outside diameter of 2.25 in. is subjected to a pure torque of T = 9060 Ib-in. The shear modulus of the steel is G = 12,000 ksi. Determine the maximum shear stress in the shaft. O 3.31 ksi O 5.15 ksi O 4.05 ksi 3.82 ksi O 2.53 ksiarrow_forwardFigure 1 is presented the solid shaft AB rotates at 650 rpm and transmits 30 kW from the motor machine tools connected to gears F and G. Assuming that, 10 kW is taken off at gear F and 20 k taken off at gear G, knowing that allowable torsional shear stress is equal to (65 plus last digit of student ID) MPa. Design the smallest permissible diameter of shaft AB. Figure 1 150 mm 225 mm 905 mm 150 mm 60 mm 100 mm D. 60 mm B.arrow_forwardPLEASE ANSWER NUMBER 3.11 MECH 221: PLEASE GIVE DETAILED SOLUTIONS AND CORRECT ANSWERS. I WILL REPORT TO BARTLEBY THOSE TUTORS WHO WILL GIVE INCORRECT ANSWERS.arrow_forward
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