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Solved: (I) The Eiffel Tower (Fig. 13–31) is built of
Chapter 13, Problem 9P(choose chapter or problem)
(I) The Eiffel Tower (Fig. 13–29) is built of wrought iron approximately 300 m tall. Estimate how much its height changes between January (average temperature of 2°C) and July (average temperature of 25°C). Ignore the angles of the iron beams and treat the tower as a vertical beam.
FIGURE 13-29 Problem 9. The Eiffel Tower in Paris
Questions & Answers
QUESTION:
(I) The Eiffel Tower (Fig. 13–29) is built of wrought iron approximately 300 m tall. Estimate how much its height changes between January (average temperature of 2°C) and July (average temperature of 25°C). Ignore the angles of the iron beams and treat the tower as a vertical beam.
FIGURE 13-29 Problem 9. The Eiffel Tower in Paris
ANSWER:Solution 9P
Step 1 of 2:
The height of the Eiffel Tower is assumed to be Lo. We are going to find the changes in the height of the tower between the months January and July. We need to consider the tower as a vertical iron beam.
The initial height of the tower Lo = 300 m
The coefficient of expansion of iron ɑ = 12 x 10-6 /°C
The change in the temperature ΔT = 25°C - 2°C = 23°C