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I am Lyosha [343]
2 years ago
9

-The concrete sections of a highway are designed to be 25 m long. Sections are prepared at 10°C. What is the minimum space that

must be left between such sections, to avoid sagging, knowing that the asphalt reaches 50ºC?
Data: α=12 10-6 ºC-1
.
Mathematics
2 answers:
Sergeu [11.5K]2 years ago
6 0
Can send you some pics please please let me know if I need to get to
Vadim26 [7]2 years ago
4 0

Let <u>d = distance between two plates</u>, <u>L = length of a plate</u>, and assuming that the coefficient provided is that of linear expansion, the elongation of a section is<u> </u><u>∆L = Lα (T₂ - T₁) = 0, 012 m</u><u> </u>. Assuming that the elongation is shared equally to both sides of each section, when two sections are in contact, it is fulfilled

\pmb{\dfrac{d}{2}=\dfrac{\Delta L}{2 }\Rightarrow d=\Delta L=0,012 m= 1,2 cm} \\\\\\\boxed{\pmb{d=1,2 \ cm}}

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