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_forwardDetermine the allowable torque a hollow steel shaft can transmit if the outside diameter is 4 inches, and the inside diameter is 3 inches. The allowable shear stress is 10,000 psi. Compute the angle of twist per foot of length. Answer = 85,900 in-lbs I'm unsure of how to solve this problem. Could you please help me solve for the answer step-by-step? Thank you in advance.arrow_forwardonly HANDWRITTEN answer needed ( NOT TYPED)arrow_forward
- For the steel shaft shown in Fig. Determine the maximum torque transmitted by any transverse cross section of the shaft. 17 ft kip 60 ft-kip GOGGOO 12 ft-kip 10 ft-kip T 25 ft-kiparrow_forwardA compound shaft consists of brass segment (1) and aluminum segment (2). Segment (1) is a solid brass shaft with an outside diameter of 0.51 in. and an allowable shear stress of 4500 psi. Segment (2) is a solid aluminum shaft with an outside diameter of 0.41 in. and an allowable shear stress of 6000 psi. Determine the magnitude of the largest torque TC that may be applied at C. Express your answer in lb-in rounded to the nearest tenths.arrow_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_forward
- A tapered, wrought iron shaft of length 5 ft, has 2 inch diameter at the fixed end and 0.8 inch diameter at the free end. Determine the angle of twist of the shaft, if it carries a torque, T = 2000 lb-in at the free end. Use G = 10^7 psi for wrought iron.arrow_forwardA shaft made from acrylic is subjected to the three torques indicated below. The acrylic has a shear modulus of 1.7 GPa. Determine: a. The twist at the end D if the diameter if the shaft is 100 mm. b. The minimum shaft diameter if Tallow = 10 MPa 200 N•m A 800 N•m 300 mm B 400 N•m 600 mm C 600 mmarrow_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
- The 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_forwardThe shear modulus of the solid steel shaft is G = 11 x 10° ksi. Motor A is directly coupled to the shaft and delivers 3 hp while rotating at 1800 rpm (revolutions per minute). Gears B, C, and D remove the powers indicated in the figure. Given the following two criteria, determine the required diameter of the shaft to the nearest 1/s in. (1) The maximum shear stress must not exceed Tallow = 9 ksi. (2) In order to prevent binding or interference in the attached machin- ery, the angle of twist of gear B with respect to gear D must not exceed 1°. 1.25 ft 1.0 ft 3 hp 1.5 ft 1 hp 0.5 hp 1.5 hparrow_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
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