The long chord of a simple curve is 143.68m and makes an angle of 69 degrees with the line connecting PC and the center of the curve. The stationing at PI is 18+520. Determine the central angle of the curve. a. Determine the radius of the curve. b. Determine the station at PT.

The long chord of a simple curve is 143.68m and makes an angle of 69 degrees with the line connecting PC and the center of the curve. The stationing at PI is 18+520. Determine the central angle of the curve. a. Determine the radius of the curve. b. Determine the station at PT.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The line connecting the PC and PT of the simple curve is 120.4m. The radius is 213.6m. If the…

Q: Q/4/..In simple circular curve ,the external distance (9.71m ),the middle distance (9.02m) and stat…

A: External distance(E)=9.71 m Middle distance(H)=9.02 m P.T=1011+11.11

Q: Station PT of a compound curve is at 15+480, 11=30°, 12=36°, D1=4°, and D2=5°. is the stationing…

Q: Given the following, solve for the radius of the curve: M = 25.988m | = 54.939° ●

A: Given Mid ordinate value (M) =25.988 m Angle (I)= 54.9390 To find Radius of curve (R) Formula used…

Q: A horizontal curve is designed with a '500' m radius. The curve has a tangent length of 120 m and…

A: Radius of curve = 500 mTangent length = 120 mStationing of PI = 3 + 140 mDeflection angle = ◇(…

Q: 2. A compound curve has the following properties: ,= 25-degree, D,= 6.2-degree, I½= 36-degree, D2=…

A: Given: The value of I1 is 25o. The value of D1 is 6.2o. The value of I2 is 36o. The value of D2 is…

Q: The station of the Pl of a horizontal curve is 60+20. The horizontal curve will have a curve degree…

A: Given,PI = 60 + 20Degree of curve, D = 4oLength, L = 400 ft

Q: SITUATION 1: AB and BC are tangents of a simple curve. AB is due north and BC is N50degreeE.…

Q: If the length of the parabolic curve is 10 meters, Point PI is 5 meters away from Point PC,…

A: True. The point of intersection is always at the half length of parabolic curve

Q: Problem 7. 7.Station PT of the compound curve is at 15 + 480.14. I, = 30°, I2 = 36°, D1 = 4°, D2 =…

A: We know that ; D=1145.92R Can be written as ; R2 = 1145.92D2 R2 = 1145.925 = 229.184 m

Q: nd BC with bearings 58deg 30' E respec e vertex is 4+360.2

Q: a. Elements of the curve b. Stationing of P.C. and P.T. c. Lengths of sub-chords and its…

Q: Q2-The two lines AB and BC intersected at point B as shown, find 1- The elements of simple circular…

A: Given:- The two lines AB and BC intersected at point B The radius of the circular curve = R = 200 m…

Q: QUESTION 8 In a railroad layout, the centerline of two parallel tracks are connected with a reversed…

A: Given a railroad layout central angle of the first curve =180 Distance between parallel tracks =37.6…

Q: 2. A circular curve has the following known elements: Middle Ordinate = 2 m Length of Long Chord =…

Q: a. Elements of the curve b. Stationing of P.C. and P.T. c. Lengths of sub-chords and its…

Q: The long chord of a simple curve is 143.68m and makes an angle of 69 degrees with the line…

Q: SITUATION 6: The length of common tangent of a compound horizontal curve is 630 m. Di = 3°, l = 50°,…

A: Data for compound curve is given

Q: The elements of a reverse curve are as follows: I1 = 18.1˚ I2 = 23.5˚ D1 = 2˚ D2 = 4.7˚ If…

A: Given : I1 = 18.1°I2 = 23.5°D1 = 2°D2 = 4.7°Station PT = 27 + 674

Q: The departure of a line of traverse is its length multiplied by O a. secant of reduced bearing O b.…

Q: Four simple curves (CURVE1, CURVE2 & CURVE3) are connected to form the highway curves. CURVE2 formed…

Q: a. The maximum probable length of the parabolic curve b. The location and elevation of the lowest…

Q: A compound horizontal curve is provided in the figure below. I1 = 72°00'". I2 = 58°00'. BC station…

A: A compound curve is given, with different radii R1 =500 ft and R2 = 750 ft The stationing of the…

Q: Sta. PT of a compound curve is at 15 + 480. I¡ = 30°, I2 = 36°, D¡ = 4°, D2 = 5°. a. What is the…

A: Consider the free body diagram; Calculate the degree of curve is given as;…

Q: 1. 1. A simple curve connects two tangents AB and BC with bearings N 85 deg 30' E and S68deg 30' E…

Q: A vertical sag parabolic curve has a length of 450m. Its back tangent has a slope of -3.20%. The…

Q: PI = Sta 1+395.43 1 = 43° 39' Arc basis, D = 4° 15'

Q: The forward and the backward tangents of a simple curve have an azimuth of 249°15’ and 190°45’…

A: The curve is of two type like horizontal curve and vertical curve, the type of horizontal curve is…

Q: Given the following elements of the compound curve shown: h = 37° 30' I2 = 53° 50' R1 = 250 m. %3D…

A: T1=215m

Q: nects two tangents AB and BC with bearings N 85 deg 30 min E and S 68 deg 30 min E respectively. If…

A: Given:- AB and BC with bearings N 85 deg 30 min E and S 68 deg 30 min E stationing of the Vertex is…

Q: compound curve is at 15 +480, 1₁-30, 1₂-36, D₁-4°, D=5" t is the sta. of the vertex of the compound…

Q: Curves Problem: 1+12 For the given compound curve (see figure): a. Determine R, and R2. b. Determine…

Q: The deflection angles of points A and B from the tangent through P.C of a simple curve are 3°05' and…

Q: The elements of a compound curve are as follows: I1 = 19.7˚ I2 = 24˚ D1 = 2.7˚ D2 = 4.5˚ If…

Q: 3. AB вс due East N 30° F CD dae east Determine the length of reverse curve if T₁ =70m and 1₂=110m

A: Given : T1 = 70m, T2 = 110m From the drawing, we can find out angle I1 and I2. Find out the length…

Q: The distance of any point on the parabola from the focus is constant.

A: solution 1. the distance from any point on the parabola to the focus is equidistant so the…

Q: A simple curve connects two tangent AB and BC with bearing N 85°30' E and S 68°30' E respectively.…

A: Consider the free body diagram;

Concept explainers

Instruments for Surveying

Surveying is the practice that determines the relative three-dimensional positions of many different points on the earth’s surface. There are various instruments used in Surveying like Theodolites, Total station, Tripod stands, Plane table, etc. for measuring horizontal angle, vertical and sloping angle, which are very useful for giving accurate and precise measurement.

Question

The long chord of a simple curve is 143.68m and makes an angle of 69 degrees with the line
connecting PC and the center of the curve. The stationing at PI is 18+520. Determine the central
angle of the curve.
a. Determine the radius of the curve.
b. Determine the station at PT.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

The elements of a reverse curve are as follows: I1 = 18.5˚ I2 = 23.7˚ D1 = 2.6˚ D2 = 4.4˚ If STA PT = 26+513, determine STA PI1. in decimals
COMPOUND CURVE Station PT of a compound curve is at 15 + 480, I, = 30°, I2 = 36°, D1 = 4°, and D2 = 5°. What is the stationing of PCC? Use arc basis. a. 15 + 319.63 b. 15 + 336.14 C. 15 + 325.28 d. 15 + 342.50
A simple curve connects two tangents AB and BC, with bearings N 85°30' E and S 68°30' E, respectively. If the stationing of the vertex (P.I.) is 4+360.2 and the stationing of P.C. is 4+288.4 a. Determine the radius= 311m Determine the external distance = 8.18m Determine the middle ordinate = 7.971m Determine the chord distance = 139.920m Determine the length of the curve = 141. 127m Determine the stationing at P.T. C. d. e. f.
2. The forward and the backward tangents of a simple curve, have an azimuth of 239°15' and 180°45’ respectively. The distance from the middle of the chord to the vertex is 57.73 m. And the stationing of the vertex is 2+022.162. a) Determine the radius of the curve. b) Determine the stationing of P.C. c) Determine the stationing of P.T.
The azimuths of the back and forward tangent of a spiral curve are 220° and 290° respectively. If the length of the spiral is 80m and the degree of the circular curve is 4°, determine: a. The distance between the vertex and the middle of the curve. b. The short tangent at the SC point. c. The long tangent at the SC point. d. The station of CS if the station of TS is at (7+028).
A 5 degree circular turnout is to connect a railway track, leading due east, to the mouth of the tunnel which is 70m. from the station 7+812. Use Chord Basis. Determine the radius of the curve in meters. Ans. 229.30
A simple curve connects two tangents AB and BC with bearings N 85°30'00" E and S 68°30'00"E, respectively. If the stationing of B is 4+360.2, and the stationing of PC is 4+288.4, determine the following: a. Radius Answer: R= b. External Distance Answer: E= c. Middle Ordinate Answer: M= d. Chord Distance Answer: Lc= e. Length of Curve Answer: L= m m m m E
Calculate the chainage of the tangent points of the compound curve from the following: Stat. P.I=28+50 R1=500m. Ø1 = 38° 20' R2=750m. Ø2 = 41° 30'
The forward and the backward tangents of a simple curve, have an azimuth of 239°15’ and 180°45’ respectively. The distance from the middle of the chord to the vertex is 57.73 m. And the stationing of the vertex is 2+022.162. a) Determine the radius of the curve b) Determine the stationing of P.C. c) Determine the stationing of P.T.
SITUATION 10: Two parallel tangents 12 m apart are connected by a reverse curve having equal radii. The long chord connecting the P.C to P.T is 140 m. 28. Determine the radius of the reverse curve. c. 200.41 m d. 512.41 m a. 408.33 m b. 813.64 m 29. Find the length of the curve. a. 175.75 m b. 131.29 m c. 279.30 m d. 140.17 m
The backward tangent of +5% and a forward tangent of -3% is connected by a vertical symmetrical parabolic summit curve of length 200m. а. Determine the radius of the curve.