The length of the unsymmetrical vertical curve is 609. The gradient of PVC is +4% while that of PVT is -6%. If the vertical offset was found to be 6.5 feet, find the horizontal distance of PVI from PVC.

Principles of Geotechnical Engineering (MindTap Course List)
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ISBN:9781305970939
Author:Braja M. Das, Khaled Sobhan
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Chapter15: Slope Stability
Section: Chapter Questions
Problem 15.19P
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Fundamentals of Surveying:

Please show your solution to every question.

1.) The length of the unsymmetrical vertical curve is 609. The gradient of PVC is +4% while that of PVT is -6%. If the vertical offset was found to be 6.5 feet, find the horizontal distance of PVI from PVC.

 

2.) A +3 % grade @ PC intersects with a -4.2 % grade at PI forming a symmetrical vertical curve with length L = 259. Determine the horizontal distance from the summit to PC.

 

3.) A simple curve has 269m radius and 64° deflection angle. What is its middle ordinate? 

 

4.) Using arc basis, what is the degree of curve of a simple curve whose long chord is 69 m and middle ordinate equal to 11.5 m? 

 

5.) A compound curve laid on their tangents have the following data: 11 = 34', 12 = 39", and D1 = 80. If the length of the common tangent passing thru the P.C.C. is 109 m, find the degree of curve (D2) of the second curve.

 

6.) Compute the distance (in meter, along the curve) from P.C. to P.T. of the compound curve given: 11 = 29, 12 = 39, D1 = 12°, and D2 = 11'. 

 

7.) A line with bearing, N 9° 45' E intersects another line whose bearing is S 9° 15' E. Determine their deflection angle.

 

8.) A line with bearing, S 9° 45' W intersects another line whose bearing is S 9° 15' W. Determine their deflection angle.

 

9.) The backsight reading on a point is 9.35 m and the foresight reading on a second point is 0.86 m. If the elevation of the first point is 409.25 m, determine the elevation of the second point.

 

10 . A group of students were tasked to measure a certain distance. 3 students measured it as 3.352 m, 5 students measured it 3.307 m, and 7 students measured it as 3.397 m. What is the most probable value of the distance measured?

 

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