Q.4) A composite shaft is subjected to two torques as shown below. Shaft ABC is a hollow aluminum-alloy (G = 4000 ksi) tube and is welded to a solid brass (G = 6400 ksi) shaft CD. The hollow aluminum-alloy shaft has an outer diameter of 3 in. and an inner diameter of 2.5 in. The diameter of the brass shaft is 3 in. Determine (a) The internal torques in all three segments of the shaft, (b) The maximum shear stresses in each segment of the shaft, (c) The angle of twists at B and C (rotations of sections at B and C). 4 kip · in. 4 kip in. (3) D (1) B 20 in. 30 in. 20 in.

Q.4) A composite shaft is subjected to two torques as shown below. Shaft ABC is a hollow aluminum-alloy (G = 4000 ksi) tube and is welded to a solid brass (G = 6400 ksi) shaft CD. The hollow aluminum-alloy shaft has an outer diameter of 3 in. and an inner diameter of 2.5 in. The diameter of the brass shaft is 3 in. Determine (a) The internal torques in all three segments of the shaft, (b) The maximum shear stresses in each segment of the shaft, (c) The angle of twists at B and C (rotations of sections at B and C). 4 kip · in. 4 kip in. (3) D (1) B 20 in. 30 in. 20 in.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Member ABCD is a hollow circular steel shaft with a 4 inch outer diameter and a 3 inch inner diameter. It is rigidly attached to the wall at A. Externaly applied torques are TB of 1338 lb-ft, Tc of 1117 lb-ft, and TD of 884 lb-ft. Firstly obtain the internal torque generated, then calculate and input the maximum shear stress in section BC of the shaft: (f v max) = ___________ lb/in.2. Pay attention to unit conversion and calculate your answer to 1 decimal place.
Required information The composite shaft shown consists of a 0.25-in.-thick brass jacket (G= 8 x 106 psi) bonded to a 1.4-in.-diameter steel core (Gsteel = 12 x 106 psi). The shaft is subjected to 9-kip-in. torques.as shown, detremine (a) the maximum shear stress in the brass jacket and (b) angle of twist of B relative to A 1 T 6 ft -Steel core Brass jacket Constraints For a perfectly bonded cross-section, the angle of twist at each point (and therefore the relative angle of twist) would be the same for the steel core and brass shell. This would be possible only if there were non-zero internal reaction torques in the steel core and brass shell, i.e. Tst#0 and Tür#0. Assuming that the magnitude of the internal reaction torques Tst and Tbr, in the steel core and brass shell, produce the same sense of twisting, express Tst+ Tbr=9 (kip.in)--(1)
A composite shaft is made by slipping a bronze tube of 3-in. outer diameteran -in. inner diameter over a solid steel shaft of the same length and 2-in.-diameter. The two components are then fastened rigidly together at their ends. What is the largest torque that can be carried by the composite shaft if the working shear stresses are 8 ksi for bronze and 12 ksi for the steel? For bronze, G = 6 x 106 psi, and for steel, G = 12 x 106 psi
What is the minimum diameter of a solid steel shaft that will not twist through more than 4o in a 9 m length when subjected to a torque of 11 kN.m ? if G = 83 GPa
3. Two solid 1.75 in.-diameter steel shafts are connected by the gears shown. The shaft lengths are L₁= 6 ft and L2 = 10 ft. Assume that the shear modulus of both shafts is G= 12,000 ksi and that the bearings shown allow free rotation of the shafts. If the torque applied at gear D is TD= 225 lb-ft, determine (a) the internal torques T₁ and 72 in the two shafts. (b) the angles of twist 1 and 2. (c) the rotation angles 3 and þc of gears B and G. (d) the rotation angle of gear D. 4₁ (1) 30 teeth 54 teeth B (2)
The composite shaft of total length is 1.8 m consists of 5 mm thick brass and is fixed to a 30 mm diameter steel bar. The composite subjected to the total torque of 565 Nm. G(brass) =39 GPa and G(steel) =77 GPa Determine the following : A) Maximum shearing stress in the brass B) Maximum shearing stress in the steel C) Angle of twist of end B relative to end A
2. The diameters of the solid shafts are: AB is 0.6 in, A B D BC is 0.75 in. and CD is 0.9 in. The applied torques are: TĄ = 400 in lb, Tg = 1200 in Ib, Tc = 500 in İb. Determine the maximum shear stress in each of the three shafts. TA TB Ans: TmaxAB = 9431 psi, TmarBC = 9658 psi, TmaxCD = 9082 psi Te Fixed to wall
A 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.
A compound shaft consists of brass segment (1) and aluminum segment (2). Segment (1) is a solid brass shaft with an allowable shear stress of 31 MPa. Segment (2) is a solid aluminum shaft with an allowable shear stress of 60 MPa. If a torque of Tc-8,500 N-m is applied at C, determine the minimum required diameter of the brass shaft (1). Tcl O 144.1 mm O 69.1 mm O 1118 mm O 89.9 mm O 1224 mm
The composite shaft shown consists of a 0.2-in.-thick brass jacket (G = 5.6 × 106 psi) bonded to a 1.2-in.-diameter steel core (Gsteel = 11.2 × 106 psi). Knowing that the shaft is subjected to 5 kip-in. torques, determine: The torques in steel and brass. The maximum shearing stress in the brass jacket. The maximum shearing stress in the steel core. The angle of twist in the shaft.
TORSION An aluminum shaft with a constant diameter of 70 mm is loaded by torques applied to gears attached to it. Use G = 28 GPa. DETERMINE: A. the relative angle of twist of gear D relative to gear A (in degrees) B. the direction of the rotation of A relative to D? PROVIDE FBD
L1=1.8 L2=.9 d1370 d2=53 Compound shaft ACB is fixed at A and consisting of two solid circular sections AC & CB, as shown, and is subjected to the given distributed torque. The diameter of part AC is DI, and the diameter of part CB is D2. The material of the shaft having a shear modulus of 69 GPa. Determine (a) the maximum shear stress (KPa) developed in shaft AB, (b) the angle of twist of point B. The values of LI, L2, D1, and D2 are given in table below for each student. DI 50 Nm/m C 0.2 m LI L2