Two wires, one of aluminum (YAI = 7.00*1010 Pa) and one of steel(Ysteel = 2.10*1010 Pa) support a uniform beam of length 2.00 mand mass 1.00*103 kg. If the aluminum wire is placed on one end,%Dhow far from the center of mass must the steel wire be placed suchthat the wires have an equal elongation AL ? The aluminum andsteel wires begin with the same length. The diameters of both wiresare 2.50 mm.

Given data: γall=7×1010 Pa=7×104 Nmm2γsteel=2.1×1010 Pa=2.1×104 Nmm2l=2 mm=1×103 Kgdall=dsteel=2.50…

Two wires, one of aluminum (Yai = 7.00*1010 Pa) and one of steel (Ysteel = 2.10*101º Pa) support a uniform beam of length 2.00 m and mass 1.00*10³ kg. If the aluminum wire is placed on one end, %3D %3D how far from the center of mass must the steel wire be placed such that the wires have an equal elongation AL? The aluminum and steel wires begin with the same length. The diameters of both wires are 2.50 mm.

Two wires, one of aluminum (Yai = 7.001010 Pa) and one of steel (Ysteel = 2.10101º Pa) support a uniform beam of length 2.00 m and mass 1.00*10³ kg. If the aluminum wire is placed on one end, %3D %3D how far from the center of mass must the steel wire be placed such that the wires have an equal elongation AL? The aluminum and steel wires begin with the same length. The diameters of both wires are 2.50 mm.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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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

Two wires, one of aluminum (YAI = 7.00*1010 Pa) and one of steel
(Ysteel = 2.10*1010 Pa) support a uniform beam of length 2.00 m
and mass 1.00*103 kg. If the aluminum wire is placed on one end,
%D
how far from the center of mass must the steel wire be placed such
that the wires have an equal elongation AL ? The aluminum and
steel wires begin with the same length. The diameters of both wires
are 2.50 mm.

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