The railroad network in South Africa (Metrorail/Prasa) consists of steel rails of standard length, 12 m, connected together. Due to the large variation in minimum and maximum seasonal temperatures in South Africa, a clearance of 3 mm is set (at 160C in winter) between the rails to accommodate expansion and contraction of the steel. 1.1 Determine the stress that will be induced in the rails if the temperature rises to 360C in the summer afternoons. 1.2 Will this stress permanently damage the rails? Motivate your answer. (For steel: E = 200 GPa and α = 12×10-6/ OC)

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Question 1 – Temperature Stresses


The railroad network in South Africa (Metrorail/Prasa) consists of steel rails of standard
length, 12 m, connected together. Due to the large variation in minimum and maximum
seasonal temperatures in South Africa, a clearance of 3 mm is set (at 160C in winter)
between the rails to accommodate expansion and contraction of the steel.
1.1 Determine the stress that will be induced in the rails if the temperature rises to 360C
in the summer afternoons.
1.2 Will this stress permanently damage the rails? Motivate your answer.
(For steel: E = 200 GPa and α = 12×10-6/ OC)

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