Given a simple circular curve with the following properties: D = 11°, bearing on incoming (back) tangentis N 89°27'25" E, bearing on outgoing (forward) tangent is S 60°10'05" E, the station of the PI =22+69.77Determine the following.(a) The intersection angle (A).(b) The radius (R)(c) The tangent (T)(d) The external distance (E)(e) The middle ordinate (M)(f) The long chord (C)(g) The length of the curve (L)(h) Station of the PC(i) Station of the PT

Intersection lines are the lines when two or more line crosses each other in a single plane. A…

Given a simple circular curve with the following properties: D = 11°, bearing on incoming (back) tangent is N 89°27'25" E, bearing on outgoing (forward) tangent is S 60°10'05" E, the station of the Pl =22+69.77 Determine the following.

Given a simple circular curve with the following properties: D = 11°, bearing on incoming (back) tangent is N 89°27'25" E, bearing on outgoing (forward) tangent is S 60°10'05" E, the station of the Pl =22+69.77 Determine the following.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter15: Geometric Design Of Highway Facilities

Section: Chapter Questions

Problem 13P

See similar textbooks

Related questions

Q: Determine the total length of the compound curve

Q: A certain horizontal curve has a central angle of 30.5°. If STA PI is 18+303 and STA PT is at…

Q: A simple curve having a radius of 354 m. connects two tangents intersecting at an angle of 45°. It…

Q: A compound curve has two simple curves. The radius of first simple is 30 meters and its angle of…

Q: A compound curve has the following characteristics: 11 = 24° 12 = 36° D2 = 4° Stationing of P.C. =…

Q: What is the stationing of PC if the stationing of PI = 042+089.6 based on the given elements of the…

Q: A compound curve laid on their tangent has the following data: h = 35° 12 = 42 ° D1= 3° D2= 5° *The…

A: Given data I1=35° ,I2=42° ,D1=3° , D2=5° We have station PI Intersects at 30+060 I=I1+I2…

Q: A compound curve has the following properties: I1=24 degrees, 12-36 degrees, D1=6 degrees, D2=4…

A: Compound curve calculation for station

Q: 2) Given a compound curve w/ a long chord equal to 150 m forming an angle of 15⁰ and 21°…

Q: A circular curve having an azimuth of back tangent equal to 205o and the azimuth of the forward…

A: Given Back tangent=2050Forward tangent=2620angle made by intersection curve=2620-2050angle made by…

Q: A simple curve has a back tangent with an azimuth of 200° from PC. The forward tangent has an…

Q: A simple curve has a radius of 80 meters and its angle of intersection is 64 degrees. The curve has…

Q: Given a simple circular curve with the following properties: D = 11°, bearing on incoming (back)…

A: The simple circular curve is a curve with a single arc intersecting the two tangents. It is…

Q: A circular curve with a radius of 450m is connected by 75m spiral transition curve to tangents with…

Q: A compound curve laid on their tangents has the following data shown below. PI 1 is at 6 + 425.82. I…

A: PI1 = Point of intersection of first curve = 6 + 425.82I1 = Deflection angle of first curve = 22°D1…

Q: The spiral angle at the S.C. of a spiral easement curve is equal to 12°, with a radius of the curve…

Q: A circular curve with a radius of 305m is connected by 160m spiral transition curve to tangents with…

A: Given: Circular curve:Radius = R = 305 mLength of transition curve = Ls = 160 mIntersection angle =…

Q: A simple curve having a degree of curve equal to 4°30’ has a central angle of 50°30’. It is to be…

A: Tangent distance: It is defined as the distance between the two external tangents to the center of…

Q: Compute the length of a horizontal circular curve, if you know its external distance equal E=49.36 m…

A: External distance(E)=49.36 m, Radius of the curve(R)=667.04 m.

Q: The degree of a circular curve of radius 1719 m is approximately equal to 1° O 10° 100° None of the…

A: From Given Data : Radius of circular curve ( R ) = 1719 m To Find : Degree of…

Q: A simple curve has a back tangent with an azimuth of 200° from PC. The forward tangent has an…

Q: If the radius of a simple curve is 70 meters and the angle of intersection is 24 degrees, what is…

Q: ertical parabolic curve C onnected by tangents 0/ and Of 15

A: Lowest point from C:x=g1g1-g2L

Q: Determine the central angle of a 350-m simple curve if the nearest distance from the curve to the…

Q: A compound curve has a common tangent of 84.5 m long which makes an angle of 16° and 20° with the…

A: To Find, a. Radius of first curve b. Radius of second curve c. Curve length from PC to PT.

Q: 3. Given the figure below and assume a 5-degree curve and station at PC is 0 + 612.690. 105.720…

Q: A simple curve has a central angle of 38° and a degree of curve of 6". a.) Find the nearest distance…

A: The deflection angle is the angle across which a moving object departs from its directed direction.…

Q: A parabolic curve has the following elements : The tangent grades are -1.8% and +2.2% respectively…

Q: 1) A 5° simple curve has a central angle of 40°. Determine the following: a) the distance from the…

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

Q: If the radius of the curve is 150 meters, and the central angle is 42 degrees, find the total length…

A: Appreciate if there is detailed work with explanation and finds you helpful for ease of…

Q: Determine the common tangent of a reverse curve if the radius of curvature and deflection angles is…

Q: A vertical parabolic curve is designed to pass thru three points on the profile of an existing…

A: To find the stationing and elevation of highest point

Q: Slope 548.97 ft at station 43 + 00. ASsuming a 1000-ft vertical curve, determine the elevation on…

Q: Given a simple circular curve with the following properties: D = 11°, bearing on incoming (back)…

A: Given A simple circular curve with the following properties: D = 11° Bearing onincoming (back)…

Q: Given a simple circular curve with the following properties: D = 11°, bearing on incoming (back)…

A: Given data Degree Bearings To find Components of simple curve

Q: The perpendicular distance between two parallel tangents is equal to 8m, central angle equal to 8°…

Q: A reversed curve is to connect three lines thus forming the center line of a new road. The lines are…

Q: 5. The common tangent of a certain compound curve is parallel to its long chord. Its 546m long chord…

Q: Given a sag curve with slopes p= -3.0% and q= 2.0%, Station of PI= 4+350 and elevation of PI…

A: Step 1

Q: A 3-degree simple curve is used to connect two highways whose bearings are S11°W and S47°W. What is…

Q: Two simple curves having vertex angles of 36° and 68°45' respectively are joined to form a compound…

Q: E] A simple circular horizontal curve connects the following two bearings: • N 75° W • S 85° E The…

A: Radius of curve = 3000 ft. = 914.4 m Degree of curve =5729.28R…

Q: The perpendicular distance between two parallel tangents of a reversed curve is 7.5 m and the length…

Q: Given a crest curve with slopes p=+3.0% and q= -2.0%, Station of PI= 4+350 and elevation of PI…

Q: The tangent of a simple curve from PI to PC has a bearing of N 65° E and the other tangent from Pl…

Q: The slope of the forward tangent of a parabolic curve is +4.2%, while the slope of the back tangent…

A: We have to determine the elevation of the curve directly above the PI according the given data.

Q: A 3-degree simple curve is used to connect two highways whose bearings are S 11 W and S 47 W. Use…

Q: Two parallel tangent have direction of due east and are 200m apart, are connected by a reverse curve…

A: Free body diagram of the given problem:

Q: Determine the distance between two parallel tangents of a reversed curve with the following…

Concept explainers

Electronic Spreadsheet

Tabular listing has many advantages ranging from time management to efficient scheduling of tasks. Electronic spreadsheets allow the user to tabulate and analyze data, using its easy-to-use interface. An electronic spreadsheet is a staple application used among accountants, management staff, and IT professionals. It is used in various sectors worldwide for data management. An electronic spreadsheet is a system and computer software that could be used to do numerical computations automatically. Spreadsheet application programs are often organized as a table with rows and columns. Each row and column intersect to form a cell, which may be used to store data. These data can take the form of a written label, a number, or a formula that combines information from other cells.

Question

100%

Given a simple circular curve with the following properties: D = 11°, bearing on incoming (back) tangent
is N 89°27'25" E, bearing on outgoing (forward) tangent is S 60°10'05" E, the station of the PI =22+69.77
Determine the following.
(a) The intersection angle (A).
(b) The radius (R)
(c) The tangent (T)
(d) The external distance (E)
(e) The middle ordinate (M)
(f) The long chord (C)
(g) The length of the curve (L)
(h) Station of the PC
(i) Station of the 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

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

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 common tangent of a compound curve makes an angle of 18° and 12° with the tangent at the point of curvature and at the point of tangency, respectively. The length of a straight distance from the beginning of the curve to the end of the curve is 125 m. If the common tangent is parallel with the long chord of the compound curve,a) Solve for the radius of the first curve?b) Solve for radius of the second curve.c) Solve for the stationing of P.T. if the stationing of the vertex is 2+021.302
A compound circular curve of radius 180 m and 135 m is required to connect two tangents that deflect by 75°. Determine the deflection angles and chord lengths for putting out the curve if the first curve has a deflection angle of 45° and the PCC is placed at station 675 + 10.75 m.
11. The perpendicular offset distance from point A on a simple curve tto Q on the tangent line is 64 m. If the distance from the P.C. to Q on the tangent is 260 m. Compute the length of curve from P.C to A.
The common tangent BC of a reverse curve is 281 m and has an azimuth of 311 degrees . AB istangent of the first curve whose azimuth is 256 and a distance of 320 m while CD is tangent ofthe second curve whose azimuth is 211 degrees and a distance of 361 m. If the radius of thesecond curve is 190 m, determine the radius of the first curve and the total length of thecompound curve.
The long chord of a compound curve is equal to 250 meters. the PC of this curve is at STA 10+000 and the PCC is at 10+139.393. The angle that the chord connecting the PC and PCC makes with the tangent passing through PC is equal to 4°. Assuming that the common tangent is parallel to the long chord.Evaluate the radius R2.
A simple curve connects teo tangents AB and BC with bearing N84E and S653, respectively. If the stationing of the vertex is 4,362 and the stationing of PC is 4,285 . Determine the ff: A) the radius of the curve B) the external distance;C) The middle ordinate D) chord distance E) the length of the curve
A simple curve has a radius of 286.4m. Its distance from P.c to P.T along the curve is equal to 240mCOMPUTE THE FOLLOWING:A. Central angle of the curve. (use arc basis)B. Distance from the midpoint of the long chord to the midpoint of the curve
The two tangents AV and VB are connected by a compound curve at points A (P.C.) and B (P.T.). Point Vis the point of intersection (P.I.). Angle VAB = 40° and angle VBA = 30°. The radius of the first curve is175m and the distance between AB is 350m.a) Compute for the central angle of the first curve.b) Compute for the central angle of the second curve.c) Compute for the radius of the second curve.
Given a reversed curre with I1= 20°, I2 =20° and R1= 205 m. The distance between the two parallel tangents is 30.50 m. curve having unequal raduis. Compute the radius of the second curve.
The tangents of a simple curve have bearing of N 10°25'E and N 48°51'E. If the external distance is to be 21.5m, determine the radius, middle and tangent distance of the curve.
Please include figures and solutions An unsymmetrical parabolic curve has a forward tangent of 5% and a backward tangent of -3%. The length of curve on the left side of the curve is 120m while that of the right side is 90m. If the vertex is at station 5+040 is at elevation 101m, determine the elevation of the curve at station 4+980. ANS. 103.31m
A compound curve connects three tangents having an azimuths of 250°, 270 ° and 290° respectively. The length of the chord is 340m long measured from the P.C to the P.T of the curve and is parallel to the common tangent having an azimuth 270 °. If the stationing of P.T is 6+000 a) Plot the compound curve b) Compute all of the elements of a compound Curve. c) Determine the stationing by the interval of 20 of the curve