Rigid bar ABC is supported by two identical solid bronze [Oy = 331 MPa; E = 105 GPa; a = 22.0 × 10¯6/°C] rods and a single solid steel [Oy = 250 MPa: E = 200 GPa; a = 11.7×106/°C] rod. Bronze rods (1) each have diameters of d₁ = 22 mm and lengths of L₁ = 4.3 m. Steel rod (2) has a length of L₂ = 5.8 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 2.1 is specified for the normal stress in each rod. Since the temperature is decreasing, the answer should be negative. (1) (1) L₁ A Answer: (a) d₂ = i a (2) B a L2 mm
Rigid bar ABC is supported by two identical solid bronze [Oy = 331 MPa; E = 105 GPa; a = 22.0 × 10¯6/°C] rods and a single solid steel [Oy = 250 MPa: E = 200 GPa; a = 11.7×106/°C] rod. Bronze rods (1) each have diameters of d₁ = 22 mm and lengths of L₁ = 4.3 m. Steel rod (2) has a length of L₂ = 5.8 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 2.1 is specified for the normal stress in each rod. Since the temperature is decreasing, the answer should be negative. (1) (1) L₁ A Answer: (a) d₂ = i a (2) B a L2 mm
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Rigid bar ABC is supported by two identical solid bronze [σY = 331 MPa; E = 105 GPa; α = 22.0 × 10−6/°C] rods and a single solid steel [σY = 250 MPa; E = 200 GPa; α = 11.7×10−6/°C] rod. Bronze rods (1) each have diameters of d1 = 22 mm and lengths of L1 = 4.3 m. Steel rod (2) has a length of L2 = 5.8 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 2.1 is specified for the normal stress in each rod. Since the temperature is decreasing, the answer should be negative.
![Rigid bar ABC is supported by two identical solid bronze [Oy = 331 MPa; E = 105 GPa; a = 22.0 × 10¯6/°C] rods and a single solid steel
[Oy = 250 MPa: E = 200 GPa; a = 11.7×106/°C] rod. Bronze rods (1) each have diameters of d₁ = 22 mm and lengths of L₁ = 4.3 m.
Steel rod (2) has a length of L₂ = 5.8 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 2.1 is specified for the normal stress in each rod. Since the temperature is decreasing, the answer should be negative.
(1)
(1)
L₁
A
Answer:
(a) d₂= i
(b) AT =
a
(2)
B
a
L2
mm
°℃](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb6737e2-e510-46df-b80a-9e409938cdde%2F8f156037-082a-4831-a49e-a9895fc2039b%2Fuvd5kvv_processed.png&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 × 10¯6/°C] rods and a single solid steel
[Oy = 250 MPa: E = 200 GPa; a = 11.7×106/°C] rod. Bronze rods (1) each have diameters of d₁ = 22 mm and lengths of L₁ = 4.3 m.
Steel rod (2) has a length of L₂ = 5.8 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 2.1 is specified for the normal stress in each rod. Since the temperature is decreasing, the answer should be negative.
(1)
(1)
L₁
A
Answer:
(a) d₂= i
(b) AT =
a
(2)
B
a
L2
mm
°℃
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