A circular shaft measuring 3 meters in length with an inner and outer radius of 30 mm and 60 mm respectively is subjected to a 100 GN.m torque. If the modulus of rigidity is 300 GPa and the power transmitted by the shaft is 50 kW, calculate the: a) Shear stress values and comment on the answers. b) Angle of twist and comment on the answer. c) Number of revolutions per minute and comment on the answer.

A circular shaft measuring 3 meters in length with an inner and outer radius of 30 mm and 60 mm respectively is subjected to a 100 GN.m torque. If the modulus of rigidity is 300 GPa and the power transmitted by the shaft is 50 kW, calculate the: a) Shear stress values and comment on the answers. b) Angle of twist and comment on the answer. c) Number of revolutions per minute and comment on the answer.

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

What is the minimum diameter of a solid steel shaft that will not twist through more than 3° (degrees) in a 6 m. length when subjected to a torque of 14 kN-m? Use G = 83 kN/ m^2. Convert your answers to mm.
A solid circular shaft of 35 mm diameter transmits a torque of 1460 Nm. The value of maximum shear stress is?
What is the polar moment of inertia of a solid steel shaft in mm^4 that will not twist through more than 2 degree in a 8 meter length when subjected to a torque of 22 kN.m? G = 83 GPa.
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).
1. A 50-mm diameter solid shaft, with a length of 1 meter, is supported at one end and free in the other end. Determine the maximum allowable torque for each material if the angle of twist is not to exceed 6º. Remember to consider both the maximum shear stress and the angle of twist. MATERIAL MODULUS OF RIGIDITY MAXIMUM SHEAR STRESS TORQUE Aluminum 26 GPa 207 MPa Steel 79 GPa 75 MPa Titanium 44 GPa 760 MPa
A hollow steel shaft is to transmit 4,867 N-m of torque and is to be sized so that the torsional stress does not exceed 176 MPa. If the inside diameter is three-fourths of the outside diameter, what is the exact outside diameter size of the shaft in mm?
Determine the allowable torque a hollow steel shaft can transmit if the outside diameter is 4 inches, and the inside diameter is 3 inches. The allowable shear stress is 10,000 psi. Compute the angle of twist per foot of length. Answer = 85,900 in-lbs I'm unsure of how to solve this problem. Could you please help me solve for the answer step-by-step? Thank you in advance.
A hollow steel shaft is stressed to 35 MPa by a torque of 200000Nm. Determine the outside diameter in mm if the inside diameter is 2/3 of the outside diameter both in mm.
1. A 50-mm diameter solid shaft, with a length of 1 meter, is supported at one end and free in the other end. Determine the maximum allowable torque for each material if the angle of twist is not to exceed 6°. Remember to consider both the maximum shear stress and the angle of twist. MAXIMUM SHEAR MATERIAL MODULUS OF RIGIDITY TORQUE STRESS Aluminum 26 GPa 207 MPa Steel 79 GPa 75 MPa Titanium 44 GPa 760 MPa
A hollow steel shaft is to transmit 5,605 N·m of torque and is to be sized so that the torsional stress does not exceed 151 MPa. If the inside diameter is three-fourths of the outside diameter, what is the exact outside diameter size of the shaft in mm?
A B D Do F 240 N.mm 420 N.mm 300 N.mm 480 N.mm Figure 1 - Torques applied to the driveshaft 1) DERIVE the twist angle expression (mathematical) of the shaft under torque in terms of the geometric properties of the shaft and the applied torque 2) CALCULATE the diameter of the shaft if the twist angle should not exceed 1.5⁰ 3) CALCULATE the maximum shear stress due to torsion. Consider G = 70 GPa. Assume that the length between each segment is 500 mm.
What is the minimum diameter in meter of a solid steel shaft that will not twist through more than 3˚ in 6 meter length, when subjected to a torque of 14 kN m. Use G of 83 Gpa.