A grade of -4.2% grade intersects a grade of +3.0% at Station 11 + 488.00 of elevations 20.80 meters. These two center gradelinesare to be connected by a 260 meter vertical parabolic curve. If the overall outside dimensions of the reinforced concrete pipe to beinstalled is 95 cm, and the top of the culvert is 30 cm below the subgrade, what will be the invert elevation at the center?(A) 25.76 m(B) 22.15 mc) 27.32 mD) 21.83 m

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Answered: A grade of -4.2% grade intersects a…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A descending grade of 4.2% intersects an ascending grade of 3% at station 12+325 at elevation 14.2m. These two grades are to be connected by a 260m vertical parabolic curve. A reinforced concrete culvert pipe with overall diameter of 105 cm is to be constructed with its top 30cm below the subgrade. What will be the invert elevation? A. 13.15m B. 17.11m C. 15.13m D. 11.17m
A descending grade of 4.2% intersects an ascending grade of 3% at Station 12+325 at elevation 17.30 m. These two grades are to be connected by a 260-m vertical parabolic curve. A reinforced concrete culvert pipe with overall diameter of 105 cm is to be constructed with its top 30 cm below the subgrade. What will be the invert elevation? O 18.863 m O 17.634 m 18.225 m 19.214 m
A 260 m vertical parabolic curve of descending grade of 4.2% intersect an ascending grade of 3% at station 1+230 of elevation 56.9 m. What will be the invert elevation at the center of the drainage pipe having an overall outside dimension of 0.90 m and the top of the culvert is 0.30 m below the sub grade. (Note: The drainage should be installed at lowest point of the curve.)
A horizontally laid circular pipe culvert having an elevation of its top to be 26m crosses at right angles under a proposed 120m symmetrical parabolic highway. The point of intersection of the grade lines is at station 5+216 at 27m elevation while that of the culvert is at station 5+228. The backward tangent has a grade of 3% and the grade of the forward tangent is -1.6%. Under this condition, what will be the depth of the cover of the pipe? Find the location of the highest point of this curve referred from PC.
A horizontally laid circular pipe culvert having an elevation of its top to be 26m crosses at right angles under a proposed 120m symmetrical parabolic highway. The point of intersection of the grade lines is at station 5+216 at 27m elevation while that of the culvert is at station 5+228. The backward tangent has a grade of 3% and the grade of the forward tangent is -1.6%. Under this condition, what will be depth of the cover of the pipe? Find the location of the highest point of the curve referred from the PC Please show complete solution and illustration.
PROBLEM 5: A grade of -2.7% grade intersects a grade of +1.6% at Station 12 + 252.10 of elevations 20.21 meters.These two center grade lines are to be connected by a 111-meter symmetrical vertical parabolic curve.1. Find the distance of the lowest point from PVC.2. At what station will the cross-drainage pipes be situated?3. Find the vertical distance between PC and PI.4. Find the vertical distance between PC and the lowest point.5. If the overall outside dimensions of the reinforced concrete pipe to be installed is 100 cm, and the top of theculvert is 50 cm below the subgrade, what will be the invert elevation at the center?
A 200 meter parabolic curve has a grade of -4% and +6%. The two grades intersect at 5+600 with elevation of 110.25m. Find the elevation of the top of the culvert pipe if backfill depth is 0.60m
A forward tangent of -4% meets back tangent of 5% @ 10+200 elevation at 62.0 m. It is required to connect two tangents by unsymmetrical parabolic curve, whose 2nd is ½ longer than the first curve. A sewer pipe with top elevation of 59.11 m is constructed at station 10+180. If the required minimum height of fill above the culvert is 1.2m, find the station of PVC. COMPLETE AND CLEAR SOLUTION AND ANSWERS. BOX THE FINAL ANSWERS.
A forward tangent of -4% meets back tangent of 5% @ 10+200 elevation at 62.0 m. It is required to connect two tangents by unsymmetrical parabolic curve, whose 2nd is ½ longer than the first curve. A sewer pipe with top elevation of 59.11 m is constructed at station 10+180. If the required minimum height of fill above the culvert is 1.2m, find the station of PVC. BOX THE FINAL ANSWER
4. On a railroad a -8% grade meets a +4% grade at station 2+700 whose elevation of 30.00 m. The maximum allowable change in grade per station having a length of 20 m. is 0.15. It is desired to place a culvert to drain the flood waters during heavy downpour. At what elevation must the invert of the culvert be set if the pipe has a diameter of 0.9m. and the backfill is 0.30 m. high? Neglect the thickness of the pipe.
A grade of -4.2% grade intersects a grade of +3.0% at Station 11 + 488.00 of elevations 20.80 meters. These two center gradelines are to be connected by a 260 meter vertical parabolic curve. If the overall outside dimensions of the reinforced concrete pipe to be installed is 95 cm, and the top of the culvert is 30 cm below the subgrade, what will be the invert elevation at the center?
A forward tangent of -4% meets back tangent of 5% @ 10+200 elevation at 62.0 m. It is required to connect two tangents by unsymmetrical parabolic curve, whose 2nd is ½ longer than the first curve. A sewer pipe with top elevation of 59.11 m is constructed at station 10+180. If the required minimum height of fill above the culvert is 1.2m, find the station of PVC

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