8. A -3% grade meets a 7.5% grade at a vertex whose elevation is 146.24 m. directly underan overpass bridge whose underside is at elevation 152. 74 m. and caries another roadacross the grades at right angles.a. What is the longest symmetrical parabolic curve that can be used to connect thetwo grades and at the same time provide at least 5 m clearance from the bridgeat its centreline?b. If the underside of the bridge is level and is 12 m. wide, Find the actual clearanceon the left edge of the bridge.

Data Given: g1 = -3%g2 = 7.5 %Elevation (E) = 146.24 m Asked: Longest symmetrical parabolic curve…

Answered: 8. A -3% grade meets a 7,5% grade at 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 -7.5% grade meets a 3% grade at a vertex whose elevation is 146.24 m. directly underan overpass bridge whose underside is at elevation 152. 74 m. and carries another roadacross the grades at right angles.a. What is the longest symmetrical parabolic curve that can be used to connect thetwo grades and at the same time provide at least 5 m clearance from the bridge at itscenterline?b. If the underside of the bridge is level and is 12 m. wide, Find the actual clearanceon the left edge of the bridge.
8. A -3% grade meets a 7.5% grade at a vertex whose elevation is 146.24 m. directly underan overpass bridge whose underside is at elevation 152. 74 m. and carries another roadacross the grades at right angles.a. What is the longest symmetrical parabolic curve that can be used to connect thetwo grades and at the same time provide at least 5 m clearance from the bridgeat its centreline?b. If the underside of the bridge is level and is 12 m. wide, Find the actual clearanceon the left edge of the bridge. with illustration
A -3% grade meets a 7.5% grade at a vertex whose elevation is 146.24 m. directly under an overpass bridge whose underside is at elevation 152. 74 m. and carries another road across the grades at right angles. a. What is the longest symmetrical parabolic curve that can be used toconnect the two grades and at the same time provide at least 5 mclearance from the bridge at its centreline?b. If the underside of the bridge is level and is 12 m. wide, Find the actualclearance on the left edge of the bridge.
A -3% grade meets a +5% grade at a vertex (EI. 146.24, sta. 1+234) directly under an over pass bridge whose underside at elev. 152.74, and carries another road across the grades at right angles. What is the longest parabolic curve that can be used to connect the two grades and at the same time provide at least 5 m. of clearance under the bridge at its center line?
A 6% grade meets a -4% grade at a vertex whose directly under an overpassbridge whose underside is at elevation 152. 74 m. and carries another road across the grades at right angles. a. The length of the curve on the side of the back tangent is 70 m., while onthe right side of the forward tangent is 100 m. long. Compute the verticalclearance from centreline of the bridge to the vertical curve if theelevation at PC is 142 m.b. If the underside of the bridge is level and is 10 m. wide, Find the actualclearance on the left and right edge of the bridge.
An underpass crossing a reinforced concrete bridge has a downward grade of -4% meeting anupward grade of +8% at the vertex with elev. 76 m and stationing 7+766 exactly underneath thecenterline of the bridge having a width of 10m. if the minimum required clearance under thebridge is 5m and the elevation at the bottom bridge is 78.16 m, determine the length ofparabolic curve that shall connect the two gradelines.
An underpass crossing a reinforced concrete bridge along the Shaw Blvd has a downward grade of 6% meeting an upward grade of 9% at the vertex V at elevation 70m and stationing of 7 + 770 exactly underneath the centerline of the bridge having a width of 10m. If the required minimum clearance under the bridge is 6m and the elevation of the bottom of the bridge is 88.88m. Determine the length of the vertical parabolic curve that shall connect the two tangents. determine the length of the vertical parabolic curve that shall connect the two tangents determine the stationing of the point where the catch basin will be placed.\ determine the elevation of teh point where a catch basin will be placed
4. An underpass crossing a reinforced concrete bridge along C. Gantuangco Avenue has a downward grade of -4% meeting an upward grade of +8% at the vertex V (elevation 70m) at station 7+700, exactly underneath the centerline of the bridge having a width of 10m. If the required minimum clearance under the bridge is 5m and the elevation of the bottom of the bridge is 78.10m, determine the length of the parabolic curve that shall connect the two tangents.
1. A vertical Symmetrical sag has a descending grade of -4.2% and an ascending grade of +3% intersecting at station 10 + 020, whose elevation is 100m. The two grade lines are connected by 260m vertical parabolic sag curve.a. At what distance from the P.C. is the lowest point of the curve located?b. What is the vertical offset of the parabolic curve to the point of intersection of the tangent grades?c. If 1m diameter culvert is placed at the lowest point of the curve with the top of the culvert buried 0.60m below the subgrade, what will be the elevation of the invert of the culvert?
An underpass crossing a reinforced concrete bridge along the Shaw Blvd. has a downward grade of -4% meeting an upward grade of +8% at the vertex V at elevation 70m and stationing of 7+700, exactly underneath the centerline of the bridge having a width of 10m. If the required minimum clearance under the bridge is 5m andthe elevation of the bottom of the bridge is 78.10ma. determine the length of the vertical parabolic curve that shall connect the two tangents.b. determine the stationing of the point where a catch basin will be placed.c. determine the elevation of the point where a catch basin will be placed.
Compute the entering grade (in % to 2 dp) of the vertical curve connecting the following profile formed by the following points (1+130, 170 m asl); (2+20, 120 m asl) and (3+10, 100 m asl)
A vertical summit curve connects a +6% grade to a -3% grade at Pl at station 150+ 00 whose elevation is 48 m A crossroad is located at statiion 150 + 70. Elevation of the centerline of the crossroad us 37.5m a.) Compute the length of the vertical curve needed to make the highest point on the vertical curve come out exacity over the centerline of the crossroad at station 150 + 70? b.) Compute the clearance between the profile grade on the vertical curve and the centerline of the crossroad? c.) If the design speed is 120kph determine the minimum length of the curve required considering. apperance criteria?

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