Problem #1. The 60-mm diameter shaft is subjected to torques as shown. If the applied allowable torque T in Kn-m. Check if the shaft satisfies the allowable shear stress and angle of twist limitations. The allow ble shear stress is 80 MPa and the angle of twist of disk A relative to disk C is limited to 0.06 rad. The shaft is made of aluminum with the following properties: Elastic Modulus, E = 70 GPa and Shear Modulus, G = 25 GPa.

Problem #1. The 60-mm diameter shaft is subjected to torques as shown. If the applied allowable torque T in Kn-m. Check if the shaft satisfies the allowable shear stress and angle of twist limitations. The allow ble shear stress is 80 MPa and the angle of twist of disk A relative to disk C is limited to 0.06 rad. The shaft is made of aluminum with the following properties: Elastic Modulus, E = 70 GPa and Shear Modulus, G = 25 GPa.

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 3.7.3P: A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at...

See similar textbooks

Similar questions

What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm, inside diameter 40 mm, and shear modulus of elasticity 80 GPa) turning at 600 rpm if the allowable shear stress is 100 MPa and the allowable rate of twist is 3.0°/m?
A motor driving a solid circular steel shaftwith diameter d = 1.5 in. transmits 50 hp to a gear atB. The allowable shear stress in the steel is 6000 psi.Calculate the required speed of rotation (number ofrevolutions per minute) so that the shear stress in theshaft does not exceed the allowable limit.
Determine the minimum diameter that can be used for a solid circular steel shaft which is limited to an allowable shear stress of 70 MPa and a maximum angle of twist of 1.5o (degrees) per meter length. Applied maximum torque is 25 KN-m and the overall shaft length is 1.25 meters. Shear modulus = G= 80 GPa Note: When using torsion stress formulas, you must convert the angle of twist from degrees to radians.
The solid cast-iron shaft shown in Fig.a is subjected to a torque of T = 400 lb # ft. Determine its smallest radius so that it does not fail according to the maximum normal stress theory. A specimen of cast iron, tested in tension, has an ultimate stress of (sult)t = 20 ksi.
The compound shaft made from the same material consisting of two segments AC and CB is firmly attached to rigid supports. The allowable shear stress in the shaft is limited to 5500 psi. Determine the maximum torque TO that may be applied at C. Calculate also the angular rotation incurred by segment BC. Use G= 12 x 106 psi. (Please provide detailed solution, thank you with FBD) To = ? lb-in ϴBC = ? degree
Two designs for a shaft are being considered. Both have an outside diameter of 70 m and are 900 mm long. One is solid but the other is hollow with an internal diameter of 50 mm. Both are made from steel (G=120 GPa). Compare the torsional shear stress, angle of twist of the two designs if they are subjected to a torque of 722 N. m.
PLEASE ANSWER ASAP TY! The shaft shown has a diameter of 30 mm and is fixed at points A and B. Shear Modulus = 75 GPa. a) What is the internal torque in segment AC (in N-m)? b) Determine the maximum torsional shear stress experienced at segment AC (in MPa). c) What is the torsional shear stress at the center of the cross-section of the shaft (in MPa)? d) Determine the reactive torque at point B (in N-m).
Compute the torsional shear stress in a circular shaftwith a diameter of 50 mm that is subjected to a torqueof 800 Nm
A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50 MPa. It is further subjected to a torque of 10 kN-m. The maximum principal stress is ?
Calculate the torque T: i. if the shear stress of the brass sleeve in section AB is limited to τb = 70 MPa.ii. if the shear stress of the steel shaft in section BC is limited to τs = 110 MPa.
A turbine shaft transmits 500 kW power at 900 rpm. The permissible shear stress is 80N/mm² while twist is limited to 0.5º in a length of 2.5 m. Take G = 0.8x10⁵ N/mm², on thebasis of torsional rigidity;i.Determine diameter of shaft if solid shaft is used.ii.If hollow shaft is chosen with di/do = 0.6, determine the suitable diameters of theshaft. please write with ball pen.. thank you
The composite shaft shown consists of two steel pipes that are connected at flange B and securely attached to rigid walls at A and C. Steel pipe (1) has an outside diameter of 164 mm and a wall thickness of 7 mm. Steel pipe (2) has an outside diameter of 114 mm and a wall thickness of 6 mm. Both pipes are 3-m long and have a shear modulus of 80 GPa. If a concentrated torque of 20 kN-m is applied to flange B, determine the torque in pipe (1).