A descending grade at the rate of -5% intersects another grade ascending at the rate of +7% at station 3+170, elevation 125.7m. A vertical curve is to connect the two such that that the urve will clear the boulder located at station 3+155, elevion 127.25m. Calculate the following: a. length of the curve b. the statio of the location of a sewer to be laid c. elevation of the station where the sewer is to be placed.

Q: A certain horizontal curve has a central angle of 42.2°. If STA PC is 18+363 and STA PT is at…

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Q: parabolic sag curve has tangent grades of –1.2% and +0.60%. The total allowable change of grades per…

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Q: The length of curve at side of PC is 55 while on the PT is 45 m. A sewer line with its top having an…

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Q: It is required to construct a vertical curve with 400m from the PC at  STA 3+16, elev.214m to the…

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Q: Prob. 2. Given are the stations and elevations of an unsymmetrical parabolic curve. Station…

A: Elevation: A geographic site's elevation is its height above or below a defined point of reference,…

Q: A -6% grade and a +2% intersect at Sta 12 + 200 whose elevation is at 14.375 m. The two grades are…

A: Horizontal distance from the LP (lowest point) to point Q -  SQ = S1 - 40 Here, from above diagram -…

Q: the vertical distance from vertex to the parabolic curve is 3m. the first grade is ascending at the…

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Q: A symmetrical parabolic curve passes through point A whose elevation is 23 23m at a distance of 54…

A: Correction in question:- As the elevation of PC is given as 22.56 m Hence, elevation of point A can…

Q: E. A spiral 80m long connects a tangent with a 7° 30' circular curve. If the stationing of the T.S.…

A: (a) 38.6% (b) 0.03 degree (c) 300 degree (d) 3.422x10-5 m

Q: A falling gradient of 2.7% meets a rising gradient of 3.3% at a reduced level of 335.60 m and a…

A: A vertical curve is used to connect two intersecting grade lines.

Q: Given a crest curve with slopes p=+3.0% and q= -2.0%, Station of PI= 4+350 and elevation of PI…

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Q: A downgrade of 4.6° meets an upgrade of 3.20% at Sta . 73+108 where the elevation is 998 m. A…

A: Given; downgrade = 4.6°  Sta = 73+108 elevation = 998 m. parabolic curve AB=440 m long

Q: Given a sag curve with slopes p= -3.0% and q= 2.0%, Station of PI= 4+350 and elevation of PI…

A: Sag vertical curves are curves that connect descending grades, forming a sag. It's designing similar…

Q: orward tangent of 3% and a back tangent of -5% by a 300 m symm urve. It was discovered that the…

A: Given:- forward tangent-3% back tangent=-5% parabolic curve=300m grade intersection at stadia=10+100…

Q: Two tangents intersect at v with back tangent having a grade of - 2.75q and forward tangent of…

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Q: The centerline of a new railway line is to be set out along a valley. The first straight AI bears…

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Q: t is required to construct a vertical curve with 400m from the PC at  STA 3+16, elev.214m to the…

A:

Q: The length of curve at side of PC is 45 while on the PT is 50 m. A sewer line with its top having an…

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Q: A grade descending at the rate of -4% intersects another grade ascending at the rate of +8% at…

A: We have to determine the value of necessary length of the curve as per the given data in the…

Q: An unsymmetrical parabolic curve has a forward tangent of -8% and a backward tangent of +5%. The…

A: G1 = 5% G2 = -8%

Q: Given are the stations and elevations of an unsymmetrical parabolic curve. Station Elevation PC 0 +…

A: Highway engineering is a designing discipline expanding from structural designing that includes the…

Q: A 1200 feet parabolic vertical curve has an entering grade of –2.6% and a departing grade of +3.4%.…

A: PVC Station…

Q: A vertical parabolic sag curve has tangent grades of -1.241% and +0.718%. If the grade changes…

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Q: A parabolic sag curve AB has a descending grade of 3.2% which meets an ascending grade of 4.6% at…

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Q: An underpass crossing a reinforced concrete bridge along the Shaw Blvd has a downward grade of 5%…

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Q: is connected by tangents having a downgrade of 6.2% and an upgrade of 4.2% intersecting at Station…

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Q: 12. A sag curve is composed of two parabolic curves. BVC and EVC have elevations 250.30m and 246.30m…

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Q: Q4- Given the following vertical curve data: pvl at 7+25.712 ,L=100 m ,g1=- 3.2%, g2= +1.8% and…

A: Curve : A curve is nothing more than an arc that links two straight lines separated by a deflection…

Q: 1.What is the longest parabolic curve that can be used to connect two grades and at the same time…

A: Let L be the length of curve g1=-3%g2=+5% P1 elevation = 146.24m Bridge elevation = 152.74m

Q: A -6% grade and a +2% intersect at Sta 12 + 200 whose elevation is at 14.375 m. The two grades are…

A: We have to find elevation of the first quarter point on curve.

Q: b. 500 m c. 360 m d. 527 m 2. Find the stationing of PC.  a. 7+589

A: Length=Ar=0.03+0.020.00220m L=500m

Q: 0 meters long is connected by tangents having a downgrade of 6.2% and upgrade 0f 4.2% intersecting…

A: Lowest point from C:x=g1g1-g2L

Q: It is required to construct a vertical curve with 400m from the PC at STA 3+16, elev.214m to the…

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Q: A falling gradient of 2.5% meets a rising gradient of 3.2% at a reduced level of 235.60 m and a…

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Q: A -3% grade meets a 7.5% grade at a vertex whose elevation is 146.24 m. directly under an overpass…

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Q: A parabolic curve AB, 400m long is connected by tangents having an upgrade of +6.5% and a downgrade…

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Q: A 175m long sag parabolic curve connects a -8.2% grade to a +2.4% grade. The grades intersect at…

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Q: A 160m long parabolic curve connects a -8% grade to a +2% grade. These grades intersect at Sta.…

A: Given, Station at intersection = 1+240 Elevation = 14.87 m Length of the curve= 160 m

Q: A 3% ascending grade meets a descending grade at the vertex at station 2+050 and elevation 100m with…

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Q: a downgrade of 3.20 meets an upgrade of 4.6 at Sta. 73+180 where the elevation is 998m. A parabolic…

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Q: Two tangents having an azimuth of 235° and 277° meet at station 30+28.212 are connected by a 330ft…

A: Given data- tangents azimuth = 235° and 277°intersecton point of tangents=30+28.212length of spiral…

Q: The centerline of a new railway line is to be set out along a valley. The first straight AI bears…

A: The given problem is based on the compound circular curve problem. This can be solved as follows:

Q: 1. A symmetrical parabolic curve has descending grade of 6% and an ascending grade of 2% and…

A: In creating a curve, the tangent distance must often be limited. Some of them are crossings of…

Q: Find the sag point for a 250m Vertical Curve ( VC ) located on a -7.51% grade and a +3.24% grade.…

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Q: A 160m long sag parabolic curve connects a -8% grade to a +2% grade. The grades intersect at station…

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Q: PLEASE DRAW/PLOT THE CURVE and show the complete solution for the given question. For a road…

A: G1 = -5% G2 = 3%

Q: What is the lateral offset between the tangent and circular curve for a spiral with a length of…

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Q: The length of curve at side of PC is 50 while on the PT is 60 m. A sewer line with its top having an…

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Q: An ascending grade of 4.9% intersects another grade at STA 12+598 whose elevation is 500m. The…

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Drainage of Pavements

Pavement Drainage holds ample significance, as it prevents the accumulation of water or any liquid on the surface of pavements and ensures proper drainage system. With proper design and gradual slopes provided, the water gets easily removed from the surface into the drains, which are essential during heavy rains and unusual weather conditions keeping it less prone to accidents and increasing the durability of the pavement structure.