5. (a) Using a well annotateddiagram, present the five pointpermissible approximations orassumptions used for thecomputations related to verticalcurve design and setting out.(b) A 100 metre vertical curve isto connect a downgrade of1.75% to an upgrade of 1.25%.If the level of the intersectionpoint of the two grades is150m, calculate the curvelevels at 20m intervals,showing the second differencecheck on the computation.

(a) Assumptions for vertical curve : The curve is assumed to be parabola for easier calculations…

Answered: 5. (a) Using a well annotated diagram,…

5. (a) Using a well annotated diagram, present the five point permissible approximations or assumptions used for the computations related to vertical curve design and setting out.

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 vertical curve is to be constructed joining two gradients AB and BC. Using the values given in Table Q2, design the curve at 20 metres intervals. First Grade (+ %) Second Grade (+ %) Chainage B Reduced Level B 3.9 -2.1 2562.286 38.321 Table Q2 (Units are in metres) K-value 45
The reduced level at the intersection of a falling gradient of 2% and a rising gradient of -3%on a proposed road is 89.05m. Given that K value is 55. The throught chainage of theintersection point is 4330m and proposed vertical curve is to have equal tangent, calculate:a) The throught chainage of the points of the vertical curve if the minimum requiredlength is to be used and the vertical curve setting out data at 20 metres exact interval.b) The chainage and reduced level of the lowest point on the curve.c) If the reduced level of existing ground level at lowest point is 92.90m, then decide thecondition of existing ground (will be cut or fill) based on vertical curve design.
o T ☺ ť In a vertical parabolic curve (g1= +1.2%, g2=-2.0%), :length 320 m, fill all below blanks :Rate of change of grade per station If you know station of PVI (20+18.99), then station of PVC is: (e.g. 12+34.65) If you know elevation of PVT 25.642 m, then :the elevation of PVC is :Elevation of station (19+20) Station of highest point on the curve: (e.g. 12+34.65) :Elevation of highest point on the curve Station of a point has elevation 26.631 m: (e.g. 12+34.65) مر ر ل لأعلى لاستعراض الفلاتر + إضافة شرح. . . ( الحالة )مخصص( >
The reduced level at the intersection of a rising gradient of 2% and a falling gradient of -3%on a proposed road is 89.05m. Given that K value is 55. The throught chainage of theintersection point is 4330m and proposed vertical curve is to have equal tangent, calculate:a) The throught chainage of the points of the vertical curve if the minimum requiredlength is to be used (LV) and the vertical curve setting out data at 20 metres exactinterval.b) The chainage and reduced level of the highest point on the curve.c) Through chainage at highest point was located exactly under a bridge, if the RL of soffit is 92.90m, calculate the headroom based on proposed vertical curve design.
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A compound curve has the following data: I1 = 28°, I2 = 31°, D1 = 3°, D2 = 4°; Find the stationing of P.C.C. if P.I. is at station (30 + 120.50). Use arc basis. Provide a complete solution with the necessary illustrations.
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Example 1.3. Two tangents intersect at chainage 59 + 6(1. the ieflection angle hrng 50° 30'. Całculate the necessary data for setting out a curve of 15 chains radius ta vonnect the two tangents if it is intended to set out the curve by offets from vkords. Take peg interval equal to 100 links, length of the chain heing equai to 20 metres (i00 links). Example 1.4. Calculate the necessary data for setting out the curve of example 1.3 if it is intended to set out the curve by Rankine's method of tangential angles. If the theodolite has a least count of 20", tabulate the actual readings of deflection angles to be set out. 3.