Rigid bar ABC is supported by two identical solid bronze [oy=331 MPa; E = 105 GPa; a = 22.0 x 10-6/°C] rods and a single solid ste [oy=250 MPa; E = 200 GPa; a = 11.7x10-6/°C] rod. Bronze rods (1) each have diameters of d₁ = 26 mm and lengths of L₁ = 3.4 m. Steel rod (2) has a length of L₂ = 4.6 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 the maximum temperature decrease that is allowable for this assembly factor of safety of 2.5 is specified for the normal stress in each rod. Since the temperature is decreasing, the answer should be neg (1) (1)

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Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.4P
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Rigid
bar ABC is supported by two identical solid bronze [oy = 331 MPa; E = 105 GPa; a = 22.0 x 10-6/°C] rods and a single solid steel
[oy = 250 MPa; E = 200 GPa; a = 11.7x10-6/°C] rod. Bronze rods (1) each have diameters of d₁ = 26 mm and lengths of L₁ = 3.4 m.
Steel rod (2) has a length of L₂ = 4.6 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 the maximum temperature decrease that is allowable for this assembly if a
factor of safety of 2.5 is specified for the normal stress in each rod. Since the temperature is decreasing, the answer should be negative.
(1)
(1)
Answer:
(a) d₂ = i
(b) AT = i
a
(2)
B
a
L2
mm
°℃
5
L₁
Transcribed Image Text:Rigid bar ABC is supported by two identical solid bronze [oy = 331 MPa; E = 105 GPa; a = 22.0 x 10-6/°C] rods and a single solid steel [oy = 250 MPa; E = 200 GPa; a = 11.7x10-6/°C] rod. Bronze rods (1) each have diameters of d₁ = 26 mm and lengths of L₁ = 3.4 m. Steel rod (2) has a length of L₂ = 4.6 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 the maximum temperature decrease that is allowable for this assembly if a factor of safety of 2.5 is specified for the normal stress in each rod. Since the temperature is decreasing, the answer should be negative. (1) (1) Answer: (a) d₂ = i (b) AT = i a (2) B a L2 mm °℃ 5 L₁
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