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= 16 mm and lengths of L₁ = 3.1 m. Steel rod (2) has a length of L₂ = 4.2 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) L₁ A C Answer: (a) d₂= (b) ΔT = i Mi (2) B a L2 mm °℃
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= 16 mm and lengths of L₁ = 3.1 m. Steel rod (2) has a length of L₂ = 4.2 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) L₁ A C Answer: (a) d₂= (b) ΔT = i Mi (2) B a L2 mm °℃
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![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= 16 mm and lengths of L₁ = 3.1 m. Steel
rod (2) has a length of L₂ = 4.2 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)
L₁
A
C
Answer:
(a) d₂=
(b) ΔT = i
MI
(2)
B
a
L2
mm
°℃](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9695b801-dec3-4d4c-aab7-3a22cf10db0f%2F94d836d0-5064-4e74-b444-fa5272a4ad6b%2F897hjnl_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 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= 16 mm and lengths of L₁ = 3.1 m. Steel
rod (2) has a length of L₂ = 4.2 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)
L₁
A
C
Answer:
(a) d₂=
(b) ΔT = i
MI
(2)
B
a
L2
mm
°℃
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