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 = 24 mm and lengths of L1 = 2.8 m. Steel rod (2) has a length of L2 = 3.8 m. (a) Calculate the diameter d2 required for steel rod (2) so that the deflection of joint B is zero for any
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 = 24 mm and lengths of L1 = 2.8 m. Steel rod (2) has a length of L2 = 3.8 m. (a) Calculate the diameter d2 required for steel rod (2) so that the deflection of joint B is zero for any
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 = 24 mm and lengths of L1 = 2.8 m. Steel rod (2) has a length of L2 = 3.8 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 1.5 is specified for the normal stress in each rod. Since the temperature is decreasing, the answer should be negative.
![(1)
A
Answer:
(a) d₂ =
i
(b) ΔT = i
a
(2)
B
a
L2
(1)
C
mm
°℃
L₁](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84b53a26-5e5f-4c86-b286-43a8b26e17a9%2F452bd281-ada3-4fc9-85c2-1dd7c332a935%2Fzzsasxe_processed.png&w=3840&q=75)
Transcribed Image Text:(1)
A
Answer:
(a) d₂ =
i
(b) ΔT = i
a
(2)
B
a
L2
(1)
C
mm
°℃
L₁
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