Rigid bar ABC is supported by two identical solid bronze [σy=331 MPa; E = 105GPa; α= 22.0 x 10-6/ °C] rods and a single solid steel [σy=250 MPa; E=200GPa; α=11.7x10-6/°C] rod. Bronze rods (1) each have diameter d1=25 mm and L1=3.0 m. Steel rod (2) had lenght L2=4.0 m.a) Calculate the Diameter d2 required for steel rod (2) so that the deflection of joint B is zero for any change in temperature.b) Using the value of d2 determined in part (a), determine temperatur decrease that is allowable for this assembly if a factor of sfety of 2.0 is specified for the normal stress in each rod. |(1)(1)aa(2)L2

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Rigid bar ABC is supported by two identical solid bronze [σ_y=331 MPa; E = 105GPa; α= 22.0 x 10^-6/ °C] rods and a single solid steel [σ_y=250 MPa; E=200GPa; α=11.7x10^-6/°C] rod. Bronze rods (1) each have diameter d₁=25 mm and L₁=3.0 m. Steel rod (2) had lenght L₂=4.0 m.

a) Calculate the Diameter d₂ required for steel rod (2) so that the deflection of joint B is zero for any change in temperature.

b) Using the value of d₂ determined in part (a), determine temperatur decrease that is allowable for this assembly if a factor of sfety of 2.0 is specified for the normal stress in each rod.

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