Q4) and is made of aluminum with G = 27 GPa. Rod AB is solid and has a length of 80 mm and a diameter of 30 mm and is made of brass with G = 41 GPa. The assembly undergoes a torque T at A. If the maximum shearing stresses at both parts AB and BC are the same, (a) determine the inner diameter of rod BC. (b) If the allowable shearing stress is 50 MPa, determine the largest torque that can be applied at A. (c) Determine the rotation angle of end A when the torque computed at part (b) is applied. The hollow rod BC has a length of 100 mm and an outer diameter of 40 mm Aluminum ,Brass C B A

Q4) and is made of aluminum with G = 27 GPa. Rod AB is solid and has a length of 80 mm and a diameter of 30 mm and is made of brass with G = 41 GPa. The assembly undergoes a torque T at A. If the maximum shearing stresses at both parts AB and BC are the same, (a) determine the inner diameter of rod BC. (b) If the allowable shearing stress is 50 MPa, determine the largest torque that can be applied at A. (c) Determine the rotation angle of end A when the torque computed at part (b) is applied. The hollow rod BC has a length of 100 mm and an outer diameter of 40 mm Aluminum ,Brass C B A

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

The diameter of and LcD = 240 mm. 1. The lengths LAB = LBC = 200 mm parts AB and CD of the bar is 25 mm and the diameter of part BC is 50 mm. The shear modulus of the material is G = 80 GPa. If the torque T = 2.2 kN- m, determine the magnitude of the angle of twist of the right end of the bar relative to the wall in degrees. 4 kN-m 8 kN-m LAB. LBC. 2. The lengths LAB = LBC = 200 mm and LCD = 240 mm. The diameter of parts AB and CD of the bar is 25 mm and the diameter of part BC is 50 mm. The shear modulus of the material is G = 80 GPa. What value of the torque T would cause the angle of twist of the right end of the bar relative to the wall to be zero? 4 kN-m 8 kN-m LAB. T LBC
1. The 12 kN m torque is applied to the free end of the 6-m steel shaft. The angle of rotation of the shaft is to be limited to 3°. (a) Find the diameter d of the smallest shaft that can be used. (b) What will be the maximum shear stress in the shaft? Use G = 83 GPa for steel. 2. The compound shaft is attached to a rigid wall at each end. For the bronze segment AB, the diameter is 75 mm and G = 35 GPa. For the steel segment BC, the diameter is 50 mm and G = 83 GPa. Given that a = 2 m and b = 1.5 m, compute the largest torque T that can be applied as shown in the figure if the maximum shear stress is limited to 60 MPa in the bronze and 80 MPa in the steel. 75 mm 50 mm A Bronze B Steel
2. A composite shaft is subjected to two torques as shown below. Shaft AB is a solid aluminum (G = 25 GPa) shaft and is welded to brass (G = 37 GPa) shaft BCD. Segment BC of the brass shaft is solid and the segment CD is hollow with inner diameter of 40 mm. Determine the maximum shear stresses in the aluminum and brass shafts, and the angle of twist of end A. 60 mm T = 1600 N - m 36 mm TA = S00 N - m 250 mm 375 mm 400 mm
The aluminum shaft, composed of three segments is fastened to rigid supports as A and D. Calculate the maximum shear stress in each segment when the two torques are applied. A 400 N-m 850 N-m L=1.4 m 30 mm diameter B L=2.4 m 50 mm diameter L-1.9 m 30 mm diameter
The mechanism below consists of a solid shaft with a diameter of 2 in between A and B and a hollow shaft with an outside diameter of 7 in and a thickness of 1/2 in between B and C. A torque T = 3 kip-in is applied as shown at A and two forces, each P = 322 lb, are applied as shown at the ends of the levers connected to Point B. Determine the shear stress that occurs on the exterior of the hollow shaft between B and C. Express answer in nearest whole psi.
A steel shaft with a length of 3.00 m. One meter of the steel is contained in a brass tube and firmly attached. The diameter d1 = 70 mm and the diameter d2 = 90 mm. Brass G = 39GPa and steel G = 77.20 GPa. Determine: The torque that can be applied if the deformation at one end is 10 degrees. Answer: T = 8.64 kN – m The torque that can be applied if the maximum shear stress in brass is 70MPa and in steel is 110MPa. Answer: T = 6.352 kN – m Recommendation: analyze by segments. The first segment is only brass, then the composite part between brass and steel, and the last part only steel. In the composite segment, use only one material. In this same segment, equalize the deformations.
The rigid wrench (not the brand Rigid sold at Home Depot!) shown is used to loosen a stuck nut at the top of a 4 mm radius smooth shafted bolt that is fixed supported at the base A. Determine the largest force F that can be applied if the bolt has a maximum shear stress of for this maximum torque value. G=75 GPa 18 MPa. Also determine the distance each force will move Ans: 6.03 N F. 150 mm 150 mm 80 mm
two solid steel shafts of different diameters are joined together at point C. the diameter of the smaller shaft is 0.5 in, while the diameter of the larger shaft is 1 in. if the supports at both ends, A & B, are unyielding / rigid, and a counterclockwise torque of 500 ft lb at point D, determine the maximum shear stress in the shaft in ksi. The modulus of rigidity for steel is 10800 ksi.Show full solution please
Two ropes are used to hoist a 610 Ib engine/transmission assembly as shown. The rope is anchored at C around the center part of the pin shown, causing the pin to experience a state of double shear. There is a frictionless pulley at A. The normal stress in the rope must not be allowed to exceed 12 ksi, and the shearing stress in the pin must not exceed 23 ksi. When the hoist is in the position given by: a = 41 in b = 13 ft c = 15 ft find the following: (a \& b) The forces carried in ropes AB and BC (c \& d) The necessary diameters of ropes AB and BC (e) The necessary diameter of the pin at C 2013Mchas (a) TAB = () Твс !! (c) dAB = (d) d BC %3! (e) d = %3D be sure to include units with your answers I3D
Two ropes are used to hoist a 530 lb engine/transmission assembly as shown. The rope is anchored at C around the center part of the pin shown, causing the pin to experience a state of double shear. There is a frictionless pulley at A. The normal stress in the rope must not be allowed to exceed 15 ksi, and the shearing stress in the pin must not exceed 21 ksi. When the hoist is in the position given by: a = 44 in b = 11 ft c = 19 ft find the following: (a \& b) The forces carried in ropes AB and BC (c l& d) The necessary diameters of ropes AB and BC (e) The necessary diameter of the pin at C 2013 Michael Swanbom (a) TAB = (b) TBC = (c) dAB = (d) dBc = (e) d =
Two solid steel shafts of different diameters are joined together at point C. The diameter of the smaller shaft is 0.5 inch, while the diameter of the larger shaft is 1 inch. If the supports at both ends, A & B, are unyielding / rigid, and a counterclockwise torque of 500 ft lb is applied at point D, determine the maximum shear stress in the shaft in ksi. The modulus of rigidity for steel is 10800 ksi. 8 in 5 in 12 in
A constant torque of 75 lb-in. is applied to the circular rod below, with a radius of 2 in. The shear modulus G = 3.5 x 106 psi. What is the angle of twist, p, at the end of the 6 foot long rod? 0.117 rad 0.056 rad 0.234 rad 0.314 rad T