• 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.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.9.30P
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Problem set 2
• 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
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:Problem set 2 • 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 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.
Eight bolts are to be selected to fix the cover plate
of a cylinder subjected to a maximum load of 980
kN. If the design stress for the bolt material is
315MPA, what should be the diameter of each
bolt?
А. 12mm B. 16тm C. 25 тm
D. 32mm E. NOTA
• Determine the safe axial compressive load for a
short square concrete pier with minimum
dimension of 2 ft if the allowable unit compressive
stress of concrete is 900psi.
Transcribed Image Text:Eight bolts are to be selected to fix the cover plate of a cylinder subjected to a maximum load of 980 kN. If the design stress for the bolt material is 315MPA, what should be the diameter of each bolt? А. 12mm B. 16тm C. 25 тm D. 32mm E. NOTA • Determine the safe axial compressive load for a short square concrete pier with minimum dimension of 2 ft if the allowable unit compressive stress of concrete is 900psi.
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