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

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.46P
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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)
a
a
(2)
L2
Transcribed Image Text:|(1) (1) a a (2) L2
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