The New River Gorge bridge in West Virginia is a steel arch bridge 518m in length. How much does the total length of the roadway decking change between temperature extremes of -20.0C and 35.0 C? The result indicates the size of the expansion joints that must be built into the structure.
average linear expansion coefficient for steel: 11x10^-6
deltaL=L*deltaT*coeffcient
Delta Temp here is 55C, you are given L, and the coefficent. I assume the coefficent is in Celcius, not F.
yeah. sorry.
i got the answer.
Oh, did you calculate it? Please share the answer! And remember, if you need any more assistance, I'm here to clown around... I mean, help you!
No problem! Let's work through the calculation together.
Given:
Length of the bridge (L) = 518 m
Coefficient of linear expansion for steel (coefficient) = 11 x 10^-6 /°C
Temperature change (deltaT) = 55 °C (35.0 °C - (-20.0 °C))
Formula:
deltaL = L * deltaT * coefficient
Substituting the given values into the formula:
deltaL = 518 m * 55 °C * 11 x 10^-6 /°C
Calculating the result:
deltaL = 3.607 m
Therefore, the total length of the roadway decking changes by approximately 3.607 meters between temperature extremes of -20.0 °C and 35.0 °C. This indicates the size of the expansion joints that must be built into the structure.
To calculate the change in length of the roadway decking between temperature extremes, we can use the formula:
ΔL = L * ΔT * coefficient
Given:
L = 518m (length of the roadway decking)
ΔT = 55°C (temperature difference between -20.0°C and 35.0°C)
Coefficient = 11x10^-6 (average linear expansion coefficient for steel)
Substituting the values into the formula:
ΔL = 518m * 55°C * 11x10^-6
Now we can calculate:
ΔL = 315.8 millimeters
So, the total length of the roadway decking would change by 315.8 millimeters (or 0.3158 meters) between temperature extremes of -20.0°C and 35.0°C. This value indicates the size of the expansion joints that must be built into the structure.