a) Figure Q5 shows a 1.4 m long steel shaft that consists of a hollow segment AB and asolid segment BC. The shaft is fixed at C and is subjected to two external torques TAand TB at points A and B, respectively. The torque developed at the fixed end C is 750kN.m in the direction as indicated in the figure.i) Determine the values of TA and TB if the corresponding angle of twist of end A iszero.ii) Calculate the maximum shear stress developed in the shaft. Give your commentwhether the shaft will fail or not if the allowable shear stress of the shaft is 75MPa.750 kN.m1.4 m0.8 mC160 mmBТв200 mm-ΤΑSection a-aFigure Q5=[Ans: a) i) T 332 kN.m, TB=1082 kN.m, ii) TCB,max= 60 MPa, TBA,max=45 MPa]

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Answered: a) Figure Q5 shows a 1.4 m long steel…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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A steel stepped shaft ABCD fixed at A is subjected to three torques at points B, C and D, with magnitudes T₁ = 40 kip-in, T₂ = 50 kip-in and Ts= 30 kip-in and directions as shown in Figure 1.1. The segments AB and BC are solid with diameters dx = 3 in and dec = 2 in respectively, while segment CD is hollow with an outer diameter dan 1.5 in and a wall thickness of 0.25 in. The shear modulus of elasticity is equal to G=11.6x10³ ksl. T₁ T₂ 4 = 20 in A B L₂ = 20 in Figure 1.1 a) Draw the torsion moment diagram for the shaft and calculate how long should segment CD be so that the angle of twist between points B and D is equal to zero. T₁ 4₂-25 in b) If Ts is dropped, a fixed support is added at point D (as shown in Figure 1.2) and the length of segment CD is equal to 15 in, find the support reactions at points A and D and the maximum shear stress developed in segment BC. The magnitudes of the torques at points B and Care the same as in part a). B C L₂= 25 in T₂ * Figure 1.2 Hollow C Hollow…
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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 m
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Determine the minimum required diameter of the shaft CD.
3) Two circular shafts (shown in Figure) made of the same material and have the same length are subjected to a torque Tequals 150 lb.ft, the angle of twist for the hollow shaft equals that of the solid shaft. A-1/3 C-5.4 B-1 D-3 D=10 in solid shaft D=10 in d=9 in O hollow shaft
A torsional bar is subjected to two external torques (10NM and 5Nm) and a distributed torque (15NM/m) at the locations indicated in the picture. The angle of twist at A (z = 0) is 0. The shcar modulus is 2GP.. Compute the following quantitics: (a) the reaction moment at A, (b) the angle of twist at B, and (c) the angle of twist at C. OD=5cm OD=4cm 15Nm/m 10Nm 5 Nm A 15 cm 10cm 8 cm 15 cm F A 8cm B C
The shaft shown in the figure is machined from AISI 1040 CD steel. The shaft rotates at 1600 rpm and is supported in rolling bearings at A and B. The applied forces are F₁ = 1600 lbf and F2 = 640 lbf. A steady torque of 1600 lbf-in is being transmitted through the shaft between the points of application of the forces. 1 / in ] A in [lin -10 in- F₁ in F₂ -10 in- All fillets in R. 12in] 3 in The value of the notch sensitivity is The value of the fatigue stress concentration factor is in NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. What is the value of the theoretical stress concentration factor for torsion, the notch sensitivity, and the fatigue stress concentration factor? (You must provide an answer before moving to the next part.) The value of the theoretical stress concentration factor for torsion is
Gear shaft ABCDE is subjected to the torques shown in the figure. Find the internal torque in each seg- ment, and then plot the torsional moment diagram. Assume that the spacing between gears is constant, i.e., 10 in. T1 = T2 = 1000 lb-in. 500 lb-in. A B T3 = 800 Ib-in. C Ta = 500 lb-in. d = 1.0 in. D T; = 800 lb-in. E

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