A forward tangent having a slope of -4% intersects the back tangent having a slope +7% at point V at stations 6+300 having an elevation of 230 m. It is required to connect the two tangents with an unsymmetrical parabolic curve that shall pass through point A on the curve having an elevation of 227.57 m at station 6+270. The length of curve is 60 m on the side of the back tangent. a) Determine the length of the curve on the side of the forward tangent. b) Determine the stationing of the highest point of the curve. c) Determine the elevation of the highest point of the curve.

A forward tangent having a slope of -4% intersects the back tangent having a slope +7% at point V at stations 6+300 having an elevation of 230 m. It is required to connect the two tangents with an unsymmetrical parabolic curve that shall pass through point A on the curve having an elevation of 227.57 m at station 6+270. The length of curve is 60 m on the side of the back tangent. a) Determine the length of the curve on the side of the forward tangent. b) Determine the stationing of the highest point of the curve. c) Determine the elevation of the highest point of the curve.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Two parallel railway 262.3 meters apart were to be connected by equal turnouts, if the intermidiate tagent is 25 meters and the radius of the curve is (382.3+120)x2.5 meters. a. Determine the central angle of the reverse curve; b. If the station of PC of the first curve is 20+460, find the station of the middle of the intermediate tangent; and c. Find the station of PT
Two tangents intersect at V with back tangent having a grade of -4.5% and forward tangent of 5.5%. A 200 m curve lies on the side of PC and 102.5 on the other side. Stationing of V is at 10+538 having an elevation of 104 m. If a bridge is located above the curve, with its centerline having an elevation of 118.5 m and stationing of 10+555, with underside of the bridge located 55 cm below the given elevation, determine the height of highest vehicle it can accommodate if the bridge has a width of 12 m.
Curve connects three tangents having an azimuth of 254°, 270° and 270° respectively. The length of chord is 310 m long measured from PC to PT of the curve and is parallel to the common tangent having an azimuth of 270° if the stationing of PT is 6 + 720. Determine the total length of curve, stations of Common Tangent and PC.
A 5° curve starts at station (5+432). The back and forward tangents of the curve have azimuths 260°40' and 294°37' respectively. A railroad AB intersects the curve at B. Line AB has azimuth 355°35'. Point A is 25 m from the point of intersection along the back tangent. At what stationing is the intersection of the railroad and the curve?
2. Two parallel tangents 20m apart are to be connected by a reversed curve. The radius of the first curve at the PC has a radius of 800m and the total length of the chord from the PC to PT is 300m. Stationing of the PC is 10 + 620. a. Find the central angle of each curve b. Find the radius of the curve passing thru the PT.
The length of a summit curve is 188 meters. Compute the radius of the curve if the tangentgrades are +3% and -5%.
No. 7 only
Two tangents intersect at station 26+050. A compound curve laid their tangents has the following data: 1=31° 12=36° D1=3° D2=5° a. Compute the stationing of the P.C. b. Compute the stationing of the P.T. If the P.T. is moved 15m. out from the center, compute the stationing of the new P.T. with the P.C.C. remaining unchanged. C.
The length of a summit curve is 188 meters. Compute the radius of the curve if the tangentgrades are +3% and -5%.
Show complete solution and drawing. COMPOUND CURVE Problem: Determine the tangent distance through the PC if the tangent distance through the PT is 175.82m. Radii of the 1st and 2nd simple curves are 382m and 230m respectively. The tangents intersecting at an angle of 67˚. Determine also the angles of the intersection of the 1st and 2nd curve at the compound curve.