SOLUTION: A girder made of steel. The length of the girder is 3.77 m. In the middle of the girder there is a fracture. The temperature rises 32° C. Find the height that the girder rises from

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Question 407770: A girder made of steel. The length of the girder is 3.77 m. In the middle of the girder there is a fracture. The temperature rises 32° C. Find the height that the girder rises from the middle, if it is fixed at both ends. The linear expansion coefficient for steel is 12*10^-6 /C.
Is it 1.79m??
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A girder made of steel. The length of the girder is 3.77 m.
In the middle of the girder there is a fracture. The temperature rises 32° C.
Find the height that the girder rises from the middle, if it is fixed at both ends.
The linear expansion coefficient for steel is 12*10^-6 /C.
:
It might be more convenient to use cm here, Change 3.77m to 377 cm
:
Find the increase in length (x) for a 32 degree temp change
x = 12%2A10%5E-6%2A377%2A32
x = .144768 cm increase in length
:
Total length after expansion; 377.144768 cm
Calculate the rise using half the length:
Originally: 188.5 cm
After expansion: 188.572384 cm
;
Find the height (h) that the girder rises using pythag.
h^2 + 188.5^2 = 188.572384^2
:
h = sqrt%28188.572384%5E2+-+188.5%5E2%29
:
h = 5.22 cm rise