Solution to a problem about elevations in a longitudinal profile.
Due to a problem on YouTube, the last 4 minutes of the video are not loading.
I will look for the original to upload it again, but I will leave the rest of the solution here in the description.
Final solution:
∆h4 = PIV3 - PIV2
∆h4 = 773.05 - 727.18
∆h4 = 45.87 m
Since we already know the distance between PIV2 and PIV3 (880 m) and also that ∆h = i.d, we can substitute the values to find the unknown slope.
Isolating the slope i:
eu = ∆h4/d
i = 45.87/880
eu = 0.05212
or
i = 5.21%
Feel free to ask any questions.
Civil Engineering
Subject: Roads
Content: Longitudinal Profile
Question: Given the data in the sketch, calculate the elevations of the PIVs (Points of Interchange) and the unknown slope.