Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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- 2. A shaft is designed to carry torque as shown below. The shaft consists of a steel rod which is fixed against rotation at both ends. In addition, the left half of the rod is well bonded to an aluminum sleeve. The assembly is loaded by a torque of 2000 N-m as shown. - The steel rod has shear modulus G = 80 GPa and radius r= 1.5 cm (hence polar moment of inertia Ip = 7.95 x 108 m². The aluminum sleeve has shear modulus G = 26 GPa, outer radius 2.6 cm and inner radius 1.5 cm (hence polar moment of inertia I, = 7.95 x 108 m²). 2000 N sleeve -0.57 rod a. Calculate the total reaction torques at the two walls (points A and C). b. Calculate the maximum shear stresses in the steel rod and the aluminum sleeve. c. Calculate the angle of twist at point B.arrow_forwardi need the answer quicklyarrow_forward2. A steel shaft rotating at 600 rpm is supported by two bearings as shown. E=30 Msi, d=1.0" (inch), L₁=24.0" (inches), L=42" (inches), W₁-50 lb, Neglect the weight of the shaft. "The design is acceptable." True ? Show details. or False Diameter d W₁arrow_forward
- A solid circular shaft AB of length 504 mm is fıxed against rotation at both ends as shown in fig. The shaft has diameters d=41 mm and D= 62mm in parts AC and CB respectively. A torque 2T acts at section 'C'. What would be length 'b' in mm for the most economical design of shaft? 27 aarrow_forwardA solid shaft is subjected to a twisting moment of 150 kNm. If the angle of twist is 8º per meter of the shaft and the shear stress is not to exceed 550 MPa. Determine the suitable shaft diameter by comparing the strength design and rigidity design. Also, determine the maximum shear strain acting on the shaft. Take G 250 GPa. Diameter of shaft based on Strength design is in mm Diameter of shaft based on rigidity design is in mm The sutable Diameter of the shaft is in mm The maximum shear strain isarrow_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 = 300 N-m, Tc= 365 N-m, and Tp = 195 N-m. X TD O -155 N-m -204 N-m O -170 N-m -230 N-m O-214 N-m Tc C (2) B TB (1) TAarrow_forward
- 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 solid 1.750-in.-diameter steel [G= 13,000 ksi] shaft is subjected to torques TB = 265 lb-ft and TD 90 lb-ft, acting in the directions shown. Assume a = 48 in., b = 72 in., and c = 36 in. If the allowable shear stress in the shaft is 16 ksi, determine the maximum torque Tc that can be applied to the shaft. (1) Answer: Tc i B (2) b Tc (3) Tp lb-ft Darrow_forwardA solid circular shaft is acted upon by thetorques as shown. If G= 12, 000 ksi determine:a. Rotation of wheel D with respect to A.b. Shear stress at point EDiameter of shaft:A-B = 2inC-D = 2inB-C = 4inT1 = 2.5 π in.kipsT2 = 8.5 π in.kipsT3 = 7 π in.kipsT4 = π in.kipsarrow_forward
- The compound shaft is attached to a rigid wall at each end. For the bronze segment AB, the diameter is 74 mm and G = 33.05 GPa. For the steel segment BC, the diameter is 47 mm and G = 84.69 GPa. Given that a = 2.18 m and b = 1.33 m, compute the largest torque T (in Nm) that can be applied as shown in the figure if the maximum shear stress is limited to 60.08 MPa in the bronze and 82.03 MPa in the steel. Round off the final answer to two decimal placesarrow_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_forwardA circular shaft of the dimensions shown in the following figure is subjected to three torques : T1 = 28 k-in, T2 = -8 k-in and T3 = 10 k-in. (a) What is the angle of twist of the right end due to the applied torque? (b) Plot the angle of twist diagram along the shaft. Let, G= 12×106 psi.arrow_forward
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