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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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
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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