• 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 gre not valid.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question

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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=100GP.. 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
%3D
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=100GP.. 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 %3D 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.
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