• Two Identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. The first rod is made of mild steel having E = 206 GPa. The second rod is made of cast iron having E=100GPA. Assuming both materials to be homogenous and isotropic, axial force causes the same amount of uniform stress and within the proportional limit of both materials, Which of the following observations will be valid? Support your answer by a mathematical solution. A. Both rods elongate by the same amount B. Mild steel rod elongates more than the cast iron rod C. Cast iron rod elongates more than the mild steel rod D. As stress is equal, strain is also equal E. The observations are not valid.

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter6: Introduction To Mechanical Properties
Section: Chapter Questions
Problem 12CQ
icon
Related questions
Question

Make your solution organised and state assumptions if you make any.

STRENGTH AND MATERIALS

• Two Identical circular rods of same diameter and same length are
subjected to same magnitude of axial tensile force. The first rod is
made of mild steel having E = 206 GPa. The second rod is made of cast
iron having E=100GPA. Assuming both materials to be homogenous and
isotropic, axial force causes the same amount of uniform stress and
within the proportional limit of both materials, Which of the following
observations will be valid? Support your answer by a mathematical
solution.
A. Both rods elongate by the same amount
B. Mild steel rod elongates more than the cast iron rod
C. Cast iron rod elongates more than the mild steel rod
D. As stress is equal, strain is also equal
E. The observations are not valid.
Transcribed Image Text:• Two Identical circular rods of same diameter and same length are subjected to same magnitude of axial tensile force. The first rod is made of mild steel having E = 206 GPa. The second rod is made of cast iron having E=100GPA. Assuming both materials to be homogenous and isotropic, axial force causes the same amount of uniform stress and within the proportional limit of both materials, Which of the following observations will be valid? Support your answer by a mathematical solution. A. Both rods elongate by the same amount B. Mild steel rod elongates more than the cast iron rod C. Cast iron rod elongates more than the mild steel rod D. As stress is equal, strain is also equal E. The observations are not valid.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Estimating construction costs
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Materials Science And Engineering Properties
Materials Science And Engineering Properties
Civil Engineering
ISBN:
9781111988609
Author:
Charles Gilmore
Publisher:
Cengage Learning
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning