Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
A cylindrical rod has initial dimensions of length ? = 4 m and radius ? = 1 cm. When the rod is pulled in tension axially with an external force of ? = 200 kN, the rod deforms to new dimensions of length ?′ = 4.024 m and radius ?′ = 0.998 cm. Determine the modulus of elasticity of the rod and its Poisson’s ratio. Assume the rod deforms in the elastic range.

A cylindrical rod has initial dimensions of length ? = 4 m and radius ? = 1 cm. When the rod is pulled in tension axially with an external force of ? = 200 kN, the rod deforms to new dimensions of length ?′ = 4.024 m and radius ?′ = 0.998 cm. Determine the modulus of elasticity of the rod and its Poisson’s ratio. Assume the rod deforms in the elastic range.

Precision Machining Technology (MindTap Course List)
Precision Machining Technology (MindTap Course List)
2nd Edition
ISBN:9781285444543
Author:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Publisher:Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Chapter5: Turning
Section5.5: Taper Turning
Problem 5RQ: What are the corresponding centerline and included angles to 5/8" TPF?
See similar textbooks
icon
Related questions
Question
100%

A cylindrical rod has initial dimensions of length ? = 4 m and
radius ? = 1 cm. When the rod is pulled in tension axially with
an external force of ? = 200 kN, the rod deforms to new
dimensions of length ?′ = 4.024 m and radius ?′ = 0.998 cm.
Determine the modulus of elasticity of the rod and its Poisson’s
ratio. Assume the rod deforms in the elastic range.

-8/2 8/2 Original Shape- Final Shape
Transcribed Image Text:-8/2 8/2 Original Shape- Final Shape
Expert Solution
Step 1

Given data:

  • The external force, P = 200 kN.
  • The change in length, L'=4.024 m.
  • The change in radius, r'=0.998 cm.
  • The length of the rod, L=4 m.
  • The radius of the rod, r=1 cm.

Calculate the lateral strain as follows:

εd=r-r'r=1 cm-0.998 cm1 cm=2×10-3

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Strain Energy
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
Precision Machining Technology (MindTap Course Li…
Precision Machining Technology (MindTap Course Li…
Mechanical Engineering
ISBN:
9781285444543
Author:
Peter J. Hoffman, Eric S. Hopewell, Brian Janes
Publisher:
Cengage Learning
Welding: Principles and Applications (MindTap Cou…
Welding: Principles and Applications (MindTap Cou…
Mechanical Engineering
ISBN:
9781305494695
Author:
Larry Jeffus
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS