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.
:
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*10^-6*377*32}}}
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(188.572384^2 - 188.5^2)}}}
:
h = 5.22 cm rise