A bar of a certain material has 50 mm x 50 mm cross-section. When it is subjected to an axial pull of 150 kN, the reduction in each side is observed to be 0.00625 mm. Determine the modulus of elasticity and Poisson’s ratio of the material. The modulus of rigidity of the material is 50 GPa

A bar of a certain material has 50 mm x 50 mm cross-section. When it is subjected to an axial pull of 150 kN, the reduction in each side is observed to be 0.00625 mm. Determine the modulus of elasticity and Poisson’s ratio of the material. The modulus of rigidity of the material is 50 GPa

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter7: Length And Length-related Variables In Engineering

Section: Chapter Questions

Problem 42P

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Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.

Question

Answer all .Determine the second moment of area of the shaded portion about the reference axis Y-Y shown in the below figure.figure is attached A bar of a certain material has 50 mm x 50 mm cross-section. When it is subjected to an axial pull of 150 kN, the reduction in each side is observed to be 0.00625 mm. Determine the modulus of elasticity and Poisson’s ratio of the material. The modulus of rigidity of the material is 50 GPa. A steel bar 60 mm in diameter and copper bar of 50 mm in diameter having lengths of 1.5 m each are rigidly fixed at one end as shown in figure. Determine the stresses in bars which causes shortening of compound bar by 0.9 mm from its original length due to the external load W. For steel, Es= 200 GPa, and for copper, Ec = 100 GPa.

R=20 mm
R%3D10 mm
50 mm
25 mm
45 mm
20 mm
20 mm

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