A 210-m long bridge is improperly designed so that it cannot...

A 210-m long bridge is improperly designed so that it cannot expand with temperature. It is made of concrete with ? = 1.10 x10^-5 °C^-1. (a) Assuming that the maximum change in temperature at the site is expected to be 27°C, find the change in length the span would undergo if it were free to expand. mm (b) If the maximum stress the bridge can withstand without crumbling is 2.0 X 10^7 Pa, will it crumble because of this temperature increase? Young's modulus for concrete is about 2.0 x10^10 Pa. Yes or No (c) What is the maximum stress?

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00:01 I might change in length, but this period is poorly designed based on the temperature, change in the length.

00:10 We are given that the change in length, sorry, change in temperature, change temperature, that's equal to 27 degrees celsius, okay? the coefficient of linear is function.

00:51 Coefficient of linear alpha is equal to 1 .10.

01:14 10 receive power of 5 kelvin.

01:24 A degree celsius there.

01:32 Then given that the initial length of the bridge is at 210 meters, 1 or 10 meters.

01:40 1 of 10 meters.

01:43 We want to do this initial length, initial length, final length, it's a final length.

02:18 So just apply this at the coordinate of linear expansion is the final length minus initial length of our initial length times, you know, changing temperature.

02:42 So if we plug in all the values there, we can just make change, we can just make the final length.

02:51 Plug in all the values, you're already there.

02:53 And we have this to be 20010 .0 .06, 06 to 4 meter.

03:10 That's the final length.

03:12 Then we can get a change in length now.

03:15 Changing length is a final length on the initial length.

03:22 So if we plug in, we know all the values there are ready now.

03:28 This is that we are right at 0 .0 .062, 4 meters...

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