A vertical summit curve is having tangents which intersects at point Pl at Station 12+428.3 and 142.75 meters elevation. The grade for the forward tangent is -3.7%. Station PC is at station 12+101.2 and having an elevation of 124.46 meters. Determine the thickness of soil in meters as backfill to cover a sewage pipe having an outside diameter of 2.7 meters and a thickness of 77mm. The elevation of the pipe on center is 123.48 and the location is at Sta 12+232.5.

Q: A -4.5% grade meets a 8.3% grade at a vertex (El. 135.26m) directly under an overpass bridge having…

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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: A symmetrical parabolic curve passes through point A whose elevation is 23.23m at a distance meters…

A: Using equation y=g2-g12Lx2+g1x+PVCelvg1=back tangentg2=Forward tangentL=length

Q: to 0.5%. gth of curve.

A: Length :L=Ar=(1.5+3)0.5×100=900m

Q: elevation 499.21ft. The initial and final grades are -2.3% and 4.8% respectively. Determine the…

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Q: A grade of -1.2% joins a grade of 1.8% at station 23+40 which has an elevation of 209.04 ft.…

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Q: Problem 1 A - 4% grade meets a +5.5% grade at a vertex whose elevation equals to 132.56 m directly…

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Q: A -4.1% grade meets a 8.7% grade at a vertex (El. 144.78m) directly under an overpass bridge having…

A: Given: The grade (g1) is -4.1%. The grade (g2) is 8.7%. The elevation at PVI is 144.78 m. The bridge…

Q: A - 6% grade and a + 2% grade intersect at sta. 12 + 200 whose elevation is at 45.673 m. The two…

A: PVCELV=PVIELV-g1L2PVCelv=45.673+0.06×1802PVCelv=51.073m

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: A 800ft vertical curve has its PVI at elevation 304.25ft. The initial and final grades are 2.4% and…

A: L = 800ft YPVI = 304.25ft n1= 2.4% n2= -2.2%   It has been asked in the question to determine the…

Q: a -4.5% grade meets a 7.4% grade at vertex (El. 143.24m) directly under an overpass bridge having…

A: G1 = -4.5% = -0.045  G2 = 7.4% = 0.074

Q: 500ft vertical curve has PVI elevation 240.31ft. the initial and final grades are 2.1% and -3.3%…

A: solution Given g1=2.1% ;g2=-3.3%so total change N =g1-g2=2.1-3.3=5.4%Length L =500ftelevation of…

Q: t vertical curve has its PVI at elevation 491.52ft. The ini™ on of a point 327ft from PVC. your…

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Q: A parabolic vertical curve is to be set out connecting two uniform grades of +1.8 and +3.9%. The…

A: Length=Ar=3.9-1.80.0520m=840mPVCsta=PVIsta-L2PVCsta=2705-8402=2285PVCELV=PVIELV-g1L2PVCelv=238.755-0…

Q: An underpass crossing a reinforced concrete bridge along Shaw Blvd has a symmetrical vertical curve,…

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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: The grade from point A to vertex V is -6% and from V to point B is +3%. It is desired to connect…

A: The given data is for Vertical symmetry parabolic curve. So, Use equation of parabolic curve. y =…

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: 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: es.

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Q: A-4.3% grade meets a 8.8% grade at a vertex (El. 141.24m) directly under an overpass bridge having…

A: Answer  Let us first draw the curve using the given data  Elevation of the invert on center…

Q: A -3% grade meets a +5% grade at a vertex (El. 146.24m) directly under an overpass bridge having…

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Q: A 591m equal tangent crest vertical curve has PVC at Sta 19+252 and at elevation 124m. The initial…

A: Since this s an equal tangent vertical curve, distance from the center of the curve to the two…

Q: A 600ft vertical curve has its PVI at elevation 404.44ft. The initial and final grades are 3.1% and…

A: Determination of Elevation  of point 364ft from PVC

Q: ration of the P.C. at station 4+100 is 22.5 e length of the curve is 120m.. Determin

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Q: A 500ft vertical curve has its PVI at elevation 371.25ft. The initial and final grades are 3.4% and…

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Q: Problem 3 The vertex is at station 12 + 200 and elevation 35 m. It is required to connect the two…

A: To use the equations for an unsymmetrical vertical parabolic curve. The general equation for the…

Q: A vertical crest curve has an approach grade +3% and a departure grade –3%. The VIP level is 120 m…

A: To calculate 'H' based on the given data we have  2HL2= (g1 -g2)L2L g1 = 3% = 0.03 g2 = -3% = - 0.03…

Q: A 850-ft equal-tangent creat vertical cuve has its PVC at station 102+00 and elevation 1000 ft. The…

A: g1 = 3.5%g2 = - 3 %Length of curve (L) = 850 ft

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

A: given-Length of curves L1=45 m and L2=50 msewer line top elevation = 108.6 msewer line top…

Q: % with a final grade (G2) of +3.3%.  The stationing of the PVI is 150+00 and the elevation is 243.00…

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Q: tangent is -3.0%, and the location of the highes on of the highest point is 100 m. t is the Station…

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Q: mum clearance under the bridge is 5 m and the elevation of the bottom 78.1. Determine the following:…

A: g1 = -4%g2 = 8%Sta (PVI) = 7 + 700 Elv (PVI) = 170 m

Q: A-2.4% grade meets a +7.4% grade at a vertex (El. 142.68m) directly under an overpass bridge having…

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Q: The length of the unsymmetrical vertical curve is 609. The gradient of PVC is +4% while that of PVT…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: A-3.3% grade meets a +7.4% grade at a vertex (EI. 139.57m) directly under an overpass bridge having…

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Q: A 700ft vertical curve has its PVI at elevation 302.17ft. The initial and final grades are -4.9% and…

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Q: a -3.7% garde meets a 7.3% grade at vertex (El.139.88m) directly under an overpass bridge having…

A: G1 = -3.7% = -0.037  G2 = 7.3% = 0.073

Q: An underpass crossing a reinforced concrete bridge has a downward grade of -4% meeting an upward…

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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.