A steel shaft 3m long that has an outer diameter and inner diameter of 10 cm and 7 cm respectively, is subjected to a torque of 20kNm. Determine the maximum shearing stress and the angle of twist. Use G = 83 GPa.

A steel shaft 3m long that has an outer diameter and inner diameter of 10 cm and 7 cm respectively, is subjected to a torque of 20kNm. Determine the maximum shearing stress and the angle of twist. Use G = 83 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 3.7.12P

See similar textbooks

Concept explainers

Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.

Question

slove all steps

A steel shaft 3m long that has an outer diameter and inner diameter of 10 cm and 7 cm
respectively, is subjected to a torque of 20kNm. Determine the maximum shearing stress and
the angle of twist. Use G = 83 GPa.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Determining the given data

VIEW

Step 2: Finding maximum shear stress

VIEW

Step 3: Finding angle of twist

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable stress in shear is 48 MPa, and the allowable rate of twist is 2.0° in 3.5 meters. (a) Assuming that the shear modulus of elasticity is G = 80 GPa, determine the maximum torque that can be applied to the shaft. (b) Repeat part (a) if the shaft is now hollow with an inner diameter of 5d18. Compare values to corresponding values from part (a).
A hallow steel shaft 2540 mm long must transmit torque of 34 KN-m. The total angle of twist must not exceed 3 degrees. The maximum shearing stress must not exceed 110 MPa. Find the inside diameter and the outside diameter of the shaft that meets these conditions. Use G = 83 GPa
Steel bar whose length of 1.31 m and a radius of 13 mm is subjected to torque which produce a shear. If the angle of twist is 30° and shear modulus of 203 GPa. Determine the torque applied.
A hollow steel shaft 2540 mm long must transmit a torque of 34 kN-m. The total angle of twist must not exceed 3 degrees. The maximum shearing stress must not exceed 110 MPa. Find the OUTSIDE DIAMETER and INSIDE DIAMETER of the shaft that meets these conditions (in mm). Use G = 83 GPa.
What is the minimum diameter of a solid steel shaft that will not twist through more than 3.18 degrees in a 6 m length when subjected to a torque of 14KN-m. What maximum shearing stress is developed? Use G=83GN/m^2.
A solid shaft in a rolling mill transmits 30 hp at 100 rpm. Find the diameter in mm of the shaft so as not to exceed a shearing stress of 42 MPa and an angle of twist of more than 5 degrees in a length of 3 meters. G = 83 GPa
A hollow steel shaft is stressed to 55 MPa by a torque of 135600Nm. Determine the outside diameter in mm if the inside diameter is 2/3 of the outside diameter and G = 83 GPa.
A hollow circular steel shaft with an outside diameter of 2.569. and a wall thickness of 0.388 in. is subjected to a pure torque of 292 lb-ft. The shaft is 124 in. long. The shear modulus of the steel is G-12.000 ksi. Determine the magnitude of the angle of twist in the shaft. 1. T B
Calculate the maximum and minimum shear stress in a hollow circular shaft of outer diameter 20 mm and thickness 2 mm, subjected to a torque of 92.7 N-m.
A solid steel shaft of circular cross-section has diameter 50 mm, length 1,028 mm and shear modulus 79.3 GPa. If the allowable shear stress is 36 MPa and the allowable angle of twist is 1.9°, determine the maximum permissible torque. Give your answer in Nm to 1 decimal place.
A hollow cylindrical shaft has outer diameter of 115 mm and inside diameter of 75 mm. Determine the maximum torque that can be applied if shearing stress is limited to 50 MPa andthe shaft can only sustain a twist of 0.8 degrees per meter. Use G = 83 GPa. Express your answer in N-m.
What is the minimum diameter of a solid steel shaft that will not twist through more than 3˚ in a6-m length when subjected to a torque of 15 KN-m? What maximum shearing stress isdeveloped? Use G=85 GPa.