A tangent section of highway has a -1.0% grade and ends at station 4+75 and elevation 82 ft. It must be connected to another section of highway that has a -1% grade and that begins at station 44+12 and elevation 131.2 ft. The connecting alignment should consist of a sag curve, and be designed for a speed of 50 mi/h. What is the lowest grade possible for the constant-grade section that will complete this alignment?

Q: 1.    Consider a vertical curve with a +3/2% initial grade and -1.1% final grade. The point of…

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Q: 9. Assuming 0% grade, and AASHTO's recommended perception reaction time and recommer deceleration…

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Q: A highway must traverse a 6% followed by a -2% grade. The length of the crest vertical curve is 2040…

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Q: You are designing a vertical sag curve joining a -3% grade to a + 2% grade. The design speed is 60…

A: Given, G1 = -3% G2 = 2% V = 60 mph

Q: A sag curve is being built under an existing overpass. The point of vertical intersection (PVI) of…

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Q: An equal-tangent sag vertical curve on a section of a highway connects an initial grade of -2% and a…

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Q: Determine the minimum length of vertical curve joins the meeting grades (+2% and -1.5%) at a four-…

A: Given data, Design speed V = 70 km/hr G1 = +2% G2 = -1.5%

Q: Q2) A proposed highway has two tangents of bearings N 45°54'36" E and N 1°22'30" W. The highway…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: . Does the S>L condition hold true? YES or NO 2. Assuming S<L, calculate the minimum length (ft) of…

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Q: A +3.0 percent grade intersects a - 2.0 percent grade at station 3 + 20 and at an elevation of…

A: The expression to calculate the station of the PVC is given by, Station of PVC=Station of PVI-L2…

Q: 2300 ft equal tangent crest vertical curve is currently designed for 60 mph.this curve connects an…

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Q: Problem 2.  This is a four-part problem. A +2.5% grade intersects with a –1.5% grade at station (735…

A: Note:- Hi! Thank you for the question, As per the honor code, we are allowed to answer three…

Q: A vertical curve is to be design to joint (+3) percent grade with a (-3.5) percent grade, sight…

A: It is required to determine the minimum length of the curve. Assume S &lt; L L=AS21002h1+2h22 Here A…

Q: highway engineer must stake a symmetrical vertical curve where an entering grade of +0.80% meets an…

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Q: A sag vertical curve will connect a -1% grade to a 3% grade with a design speed of 50 mph. Using the…

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Q: comply with the SSD. 6. A grade g₁ of +3.50% intersects grade g₂ of -2.50% and an equal-tangent…

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Q: An existing equal-tangent sag vertical curve is designed for 60 mi/h. The initial grade is −3% and…

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Q: A 1400-ft-long sag vertical curve (equal tangent) has a PVC at station 115 + 00 and elevation 750…

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Q: -Determine the minimum length of a highway sag curve (based on SSD Criterion) that is designed to…

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Q: A vertical curve's PVI has a station of 25+00 and an elevation of 192.36'. The incoming grade is…

A: Draw FBD:

Q: tangent vertical curve is intended to connect grades of 3.6% and -3.2%. If this curve is to be a…

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Q: A highway engineer must stake a symmetrical vertical curve where an entering grade of +0.60% meets…

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Q: . While designing a hill road with a ruling gradient of 6%, if a sharp horizontal curve of 50 m…

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Q: 500-m long equal tangent vertical curve has a point of vertical curvature at station 2 + 600 and…

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Q: A sag curve is being built under an existing overpass. The point of vertical intersection (PVI) of…

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Q: What is the length in stations for a symmetrical vertical curve with an entering grade of +5% which…

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Q: 600-ft crest vertical curve is to be developed from a +1.80% grade intersecting with a -3.4% grade…

A: Given Initial grade = 1.8% Final grade = -3.4% Station PVI= 15+50= 1550ft Elevation of PVI= 315.76ft…

Q: A horizontal curve on Texas Highway 83 (Tx83) comprises of a two-lane rural highway with a lane…

A: Stopping Sight Distance: It is the minimum sight distance available at any spot having sufficient…

Q: An equal tangent vertical curve is intended to connect grades of 3.1% and -0.8%. If this curve is to…

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Q: A -2.6% grade meets a +4.8% grade near an underpass. To maintain the minimum clearance allowed under…

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Q: A highway has +2.0% grade followed by a -2.0% grade. The PVC is at STA(1033+58.00) and the PVT is at…

A: Following are the given data. A highway has +2.0% grade followed by a -2.0% grade. The PVC is at STA…

Q: An equal-tangent vertical curve connects an initial grade of -4% and a final grade of +1% and is…

A: The objective of the problem is to determine the station and elevation of the lowest point on an…

Q: Problem A highway engineer must stake a symmetrical vertical curve where an entering grade of +0.80%…

A: Given : n1 = +0.80 % n2 = -0.40 % Station - 10 + 100 having an elevation = 140.36 m Allowable grade…

Q: A +2% grade intersects with a -1% grade at station (535-24.25) at an elevation of 300 ft. If the…

A: Solution:-Given,Elevation=300ftDesign speed=60 mi/hg1=2%g2=-1%

Q: A crest and sag curve connect a 0% road segment with a +2% road segment. The two curves connect with…

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Q: A highway engineer must stake a symmetrical vertical curve where an entering grade of +0.80% meets…

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Q: A+4.5% grade on rural free way intersects with a-2.5% grade at chainage of 67+500 at an elevation…

A: Given; g1=+4.5%g 2=−2.5% Chainage = 67+500 Elevation = 75 Design speed = 100 km/h

Q: West and east highway segments are separated by 1000 ft horizontally. The west segment has a 0%…

A: West and east highway segments are separated by 1000 ft horizontally. The west segment has a 0%…

Q: Step by step solutionProblem 1. An existing equal-tangent sag vertical curve is designed for 60 mph.…

A: Step 1:Step 2: Step 3: Step 4:

Q: A horizontal curve on Texas Highway 83 (Tx83) comprises of a two-lane rural highway with a lane…

A: Stopping Sight Distance : It is the minimum sight distance available at any spot having sufficient…

Q: A crest vertical curve joining a + 3 percent and – 4 percent grade is to be designed for 75 mph. If…

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Q: An equal-tangent curve connects a +1.0% and a -0.5% grade. The PVC is at station 54+24 and the PVI…

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Q: A sag vertical curve joins a -6% grade and +5% grades. s at Station 355+50 and at an elevation of…

A: Calculating the SSD: SSD=1.47vt+v23011.232.2-GSSD=1.4760×2.5+6023011.232.2-0.06SSD=637.42 ft