A solid 1.375 in. diameter shaft is subjected to a torque of T = 340 lb ft and an axial load Pacting as shown in the figure. If thelargest tensile normal stress in the shaft must be limited to 10700 psi,H(1)BPart 1Determine the cross-sectional area A and the polar moment of inertia J.A =iin 2J =4in.

Answered: Image /qna-images/answer/9a948f1f-1afb-4b5e-9cfd-5134dfcf7eca.jpg

Answered: 340 lb ft and an axial load Pacting as…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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If the shaft shown in Figure is m ade of one material and is subjected to torques TI=25 kN.m and T2-60 KN.m, determ ine the values of JAB, Bc and distance L so that the angle of wist at end A is zero. Knowing that part AB has hollow cross section wih inner radius 80 mm aad outer radhus 100 mm, and part BC S0 mm 10 mm has solid eross secetion with radius equal to 100 mm). Section aa JAB=92739815 mm JBC=157079632 mm“, a. 4 L=452.5 mm 4 D JAB-92739815 mm* , JBC=157079632 mm4, L=542.5 mm O JAB=5796238 mm, JBC=9817477 mm , L=542.5 4 mm d. JAB-5796238 mm" , JBC=9817477 mm , L=452.5 mm
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1. The hollow steel shaft (G=12 000000 Psi) must transmit a torque of 300000 Ib-in. The total angle of twist must not exceed 3 degrees per 100 ft. the maximum shearing strength must not exceed 16000 Psi. (a) Find the inside diameter "d" if the outside diameter is equal to 12 inches. (b) Find the maximum torsional shear stress and (c) Find the maximum torsional shear strain.
3- a. Determine the ditribution of shear stress in the following circular shafts that are subject to a maximum torque of 7.5 Nm by calculating the polar second moment of area. a) b) a) O b) O b. Using the previous answers; determine the angular deflection in both shafts. Both shafts are 20 cm long and the modulus of rigidity for the material is 60GN/m^2. O R R O R R = 5mm r = 3mm R = 5mm r = 3mm
2. The horizontal shaft ABCD is attached to a fixed base at A and is subjected to the torques as shown in Figure Q2. Knowing that the entire shaft is made of aluminium for which G=27GPa, a. Determine the maximum shear stress and its location. Angle of twist at end D. b. EMU2113 Ø40 Ø30 Section p-p р A р 200 Section q-q 016 1500 Nm q 200 All dimensions in mm Figure Q2 Section r-r 500 Ø30 D 500 Nm
4. The shaft shown below, is made of ASTM-A-36 steel with Sy = 250 MPa and p = 7.86 g/cm³. The bearings at A and B only carry vertical loads. A 6m W X -ØD T As shown in the figure, the shaft is carrying a torque T = 400 Nm and its own weight per unit length w. a. Determine the location of maximum stress. b. Using the distortion energy theory, find the diameter of the shaft, D, if the desired safety factor is 2.1. C. Using the result from b. what would be the safety factor if the max shear theory is used?
The circular shaft shown is subjected to an axial force P at its free end and a compressive force of 50 kips at point B. Note that the shaft is hollow between points A and B. The allowable normal tension stress is 22 ksi, the modulus of elasticity is 29,000 ksi, and the maximum allowable elongation is 0.04 in. Determine the maximum allowable value of P in kips. -0.75 in A >50 kips 3 in 20 in 30 in
1- The shaft shown in the below Fig. consists of a 75-mm diameter aluminum segment rigidly joined to a 50-mm diameter steel segment. The ends of the shaft are attached to rigid supports. Calculate the maximum shear stress developed in each segment when the torque T = 1130 N.m. is applied. Use G = 28 GPa for aluminum and G = 83 GPa for steel. %3D %3D Aluminum Steel 75 mm diameter 50 mm diameter 1130 N.m Tal 1st 2 m 1 m
Q-2 A circular bar ABC 3m long is rigidly fixed at its ends A and C shown in fig .If a moment of 680 N.m is applied at B. Determine the maximum stress in each section of the shaft. what will be the angle of twist of each portion 680 N.m B 50 mm 25 mm +- 1,2m 1,8m U ル

100 kip 10 kip ft The 4-in. diameter shaft shown above is made from a ductile brass alloy. Which of the following are closest to the principal stresses in the shaft? 01 = 31.8 ksi 02 = 76.4 ksi = 94.0 ksi 02 = -62.1 ksi O0g - 14.3 ksi 02 = -6.37 ksi Oo= 7.96 ksi 02 = 9.55 ksi
A circular composite shaft is made of a 50-mm-diameter brass (G = 40 GPA) and a 80-mm-outside diameter aluminum (G = 25 GPA) jacket. This shaft is 1.5-m-long and both ends are rigidly mounted so they cannot twist. What is the shear stress at the outer surface of this shaft when a 100 N-m torque is applied at the center?

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