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 = 25 mm and lengths of L₁ = 4.0 m. Steel rod (2) has a length of L₂ = 5.4 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 1.6 is specified for the normal stress in each rod. Since the temperature is decreasing, the answer should be negative. (1) (1) A a B a L2
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 = 25 mm and lengths of L₁ = 4.0 m. Steel rod (2) has a length of L₂ = 5.4 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 1.6 is specified for the normal stress in each rod. Since the temperature is decreasing, the answer should be negative. (1) (1) A a B a L2
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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 = 25 mm and lengths of L₁ = 4.0 m.
Steel rod (2) has a length of L2 = 5.4 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 1.6 is specified for the normal stress in each rod. Since the temperature is decreasing, the answer should be
negative.
(1)
(1)
L₁
A
a
(2)
B
a
L2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40b2cc30-5cc2-48fd-a55c-f5d4fa81a370%2Fad2c53a4-40d2-46e9-8f6c-18e33592f680%2Findzt4_processed.jpeg&w=3840&q=75)
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 = 25 mm and lengths of L₁ = 4.0 m.
Steel rod (2) has a length of L2 = 5.4 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 1.6 is specified for the normal stress in each rod. Since the temperature is decreasing, the answer should be
negative.
(1)
(1)
L₁
A
a
(2)
B
a
L2
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