"Prob. 4.5-16. The aluminum-alloy shaft AD in Fig. P4.5-16 (G= 3.8 x 10 ksi) has a 40-in.-long tubular section AC and a 30-in.-long solid section CD. The diameters are (d.). (do); = d = 2.0 in. and (d), (d) = 1.75 in. A 2 kip. in. torque acts at section B. What is the allowable torque T₁ = 0 that may be added at end A if the angle of rotation at A is not to exceed (d)allow = 0.10 rad, and the magnitude of the shear stress is not to exceed allow = 4 ksi anywhere in the shaft? 15 2 kip-in. 20 in. 20 in. 30 in. -

"Prob. 4.5-16. The aluminum-alloy shaft AD in Fig. P4.5-16 (G= 3.8 x 10 ksi) has a 40-in.-long tubular section AC and a 30-in.-long solid section CD. The diameters are (d.). (do); = d = 2.0 in. and (d), (d) = 1.75 in. A 2 kip. in. torque acts at section B. What is the allowable torque T₁ = 0 that may be added at end A if the angle of rotation at A is not to exceed (d)allow = 0.10 rad, and the magnitude of the shear stress is not to exceed allow = 4 ksi anywhere in the shaft? 15 2 kip-in. 20 in. 20 in. 30 in. -

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.4.8P: Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the...

See similar textbooks

Similar questions

A solid bar of circular cross section has a diameter of 40mm and length of 1300mm. G=80GPa and torque applied at both ends is 340 N.m. Determine the angle of rotation in radians.
A shaft ABCD, 25 mm in diameter is subjected to torques of 1850 N-m at B and 2000 N-m at C acting in the samedirection. Segment AB is 4 m long, BC is 2 m long, and CD is 4 m long. Supports A and D are fixed and unyielding.G = 86 GPa. A.) Reaction at A (N-m)B.) At what segment is the torsional stress largest? What is the stress on that segment? (MPa)C.) Angle of rotation between points A and C (radians)
A hollow circular tube with a 2.3-cm I.D. and 2.5-cm O.D. is rigidly supported at its ends. A 2.5 kN-m torque is applied at the center of this tube. What is the maximum shear stress acting on this tube?
A shaft is made of bronze at length AB and steel at length BC fixed at both ends. It is subjected to a concentrated torsional moment at the junction, The steel segment is 1 meter long. Assume that the Bronze has a diameter of 75mm, G = 35 GPa and τ = 60 MPa whilst the steel has a diameter of 50mm, G = 80 GPa, and τ = 80 MPa.a) What is the ratio of the length of steel to the length of bronze such that the allowable stress in each material is reached simultaneously.b) What is the reaction at the left end if the maximum torque is applied to the saft, in kN.
= 1.3-18 A stepped shaft ABC consisting of two solid，circular segments is subjected to uniformly distrib uted torque i，acting over segment 1 and concentrated torqueT₂applied at C，as shown in the figure。Seg ment 1 of the shaft has a diameter ofd₁= 57 mm and length ofL₁= 0.75 m; segment 2 has a diameterd₂= 44 mm and lengthL₂= 0.5 m。Torque intensity1₁3100 N m / m andT₂= 1100 N·m。（a）Find reaction torque T at support A.（b）Find the internal torque T（x）at two locations：
BD rod made of G1 = 78 GPa with a diameter of 27 mm attached to the CA tube at point B, the tube made of G2 = 133 GPa had an outer diameter of 59 mm and a wall thickness of 10 mm. If T1 = 935 Nm and T2 = 1683 Nm, answer the following questions: 1- It is the polar inertial moment of the bar BD. 2- Maximum shear stress BD. 3- It is the polar moment of inertia of the CA tube. 4- It is the maximum shear stress BD. 5- It is the maximum shear stress of the CA tube. 6- It is the maximum shear stress of the assembly. 7- is the torsion angle between D and B. 8- It is the torsion angle between C and A. -9 is the torsion angle at D. 10- is the torsion angle between C and B. 11- is the reaction at point A.
mechanics of rigid bodies The shaft assembly is made from a steel tube 1 in. in diameter, which is bonded to a solid brass core 0.5 in. in diameter. If a torque of 250 lb-ft is applied at its end, determine the maximum shear stress in psi experienced by the assembly. Take G for steel at 11.4x103 ksi and G brass at 5.2 x 103 ksi. with diagram if necessary.
A composite shaft shown, composed of a steel (G = 77 GPa) core inside an aluminum (G = 25 GPa) jacket, carries a torque, T = 10 kN-m. The shaft is designed such that the aluminum jacket will fail first upon the application of the torque.What must be the minimum shear strength of steel such that the aluminum jacket will fail first? (Please explain)
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?
ts=600g, TL=18pounds , angle=780degree ,can you please find the solution and free body diagram
A hollow aluminium shaft of 80 mm outer diameter & 60 mm inner diameter is rotating @ 5 Hz when constant 120 KW is applied. Use the following: G(alum)=28 GPa, a=1.80 m, b=0.80m & L=2.60 m. Assumed that the angle of twist is constant.The torque "T2" developed at right fixed support at B is ___KN-m 3.82 2.64 0.48 1.18 5.03
A stepped shaft ACB having a solid circular cross sections with two different diameters and two different materials joined and attached at their ends, in the fisrt section AC of aluminum has a diameter of 20mm lenght of 225mm and G= 28x109 N/m2 and in the second section CB of steel has a diameter of 25mm leght 450mm and G=83x109N/m2. The torque appied is of 1000N.m and applied in the joint of the pieces. Determine the shear stress in both the aluminium and the steel.