A reverse curve of equal radii connects 2 parallel tangents 21 m apart. The length of the chord from PC to PT is 140m. PC is at 3+100 1. Determine the Intersection angle    a) 12.57    b) 15.72    c) 17.25    d) 71.52 2. Determine the radius of the curve    a) 333.22    b) 222.33    c) 233.33    d) 322.22

Q: PROBLEM 3 Given: (Use Arc Basis) 11 = 18⁰, 12 = 25⁰ T₁ = 100 m t₁ = 32 m Station PT at 12+628 PC…

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Q: SITUATION 5: A compound curve has the following data: Li = 28° DI = 3° D2 = 4° L2 = 31° Sta. P.I at…

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Q: The offset distance of the simple curve from the P.T. to tangent line passing through P.C. is equal…

A: sin50=120.2PI-PTT=RtanI2156.91=Rtan502R=336.49mD=1781.9336.49=5

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: Two lines XV and YV intersect at an inaccessible point V. Two points A and B are selected on lines…

A: *Multiple Sub- parts*As per our company guidelines, we are supposed to answer only the first 3…

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.…

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Q: From a known point V (vertex), the tangent lines of a compound curve are drawn - having azimuths…

A: *Multiple questions*   As per our guidelines we are supposed to answer?️ only one question. Kindly…

Q: Two roads AB and BC intersect at a chainage 184+65. These are intersected by a line PQ and the…

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Q: A simple curve connects two tangents XY and YZ. The survey data are the following: Bearing of XY = N…

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Q: Two tangents intersect at sta. +550. A compound curved laid on their tangents has the following…

A: Given Data:Tangents intersection=0+550I1=31°;I2=36°,D1=3°,D2=5° It is required to compute stationing…

Q: Simple Curves: A highway curve was designed to connect intersecting tangents at Pl. Back tangent = N…

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Q: he figure shown AB = 103.20m with A at Station 10+158.93. The angle VAC is 15°21' and le VBC is…

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Q: SITUATION 17: AB and BC are tangents of a simple curve. AB is due north and BC is N50°E. Degree of…

A: From the Above ∆of the curve = 50° Degree of the curve = 4 ° For 20 m chain Degree D = 1146/R R=…

Q: A line connecting the point of curvature and point of tangency of 2 simple curves is 280 meters.…

A: Given:- A line connecting the P.C. and P.T of two simple curves = 280 m The angle made between line…

Q: A highway survey PI falls in a pond, so a cut off line AB= 275.21 ft is run between the tangents. In…

A: Degree of curve = 4°30' Angle A = 16°28' Angle B = 22°16' Station of A =54 + 92.30

Q: 7. In a railroad layout, the centerline of two parallel tracks is connected with a reversed curve of…

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Q: The bearings of backward and forward tangents are S 65°30' E and N 75 40' E, respectively. If the…

A: *Multiple Sub- parts*   As per our company guidelines we are supposed to answer ?️only first 3️⃣…

Q: 2. The tangent lines of a simple curve have azimuths 300 and bearing N 04 E, respectively. A third…

A: tangent lines of simple curve have azimuths 3000 abd bearing N040EAB intersects the two tangent…

Q: The railroad track is laid out parallel to the forward tangent of the simple curve at a…

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Q: to connect three lines thus forming the center line of a new road. The lines are AB = 60.2 m, BC =…

A: According to given data  A reversed curve is to connect three lines thus forming the center line of…

Q: Four simple curves (CURVE 1 CURVE 2 CURVE 3 are connected to form the highway curves CURVE 2 formed…

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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: iven: R=310m PI chainage = 905.280m BC station = 639.280m EC chainage = 1138.491m Determine : a.…

A: Step 1

Q: SPs details. 21.67 S-151.67m 108.33 -130- -130- P.C. P. lowes point H 8-4.2% 82-3% 10+020 EL 100m…

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Q: Two straight lines AB and BC intersect at a chainage of 510.23m, the angle of intersection being…

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Q: Two Straight lines AB and BC intersect at chainage 7827 m, the deflection angle being (49)ᴼ . It is…

A: As we know formula of design of curve Let us take 30m Chain length R= 1720/D°    = 1720/4°  R  =…

Q: Show your COMPLETE solution in 3 decimal places. Provide illustration and label accordingly. 7.A…

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Q: Curves E B Problem: T1 T1 Three curves are to be connected. Data are obtained in the field as…

A: Curve made up of two or more circular arcs of successively shorter or longer radii, joined…

Q: PROBLEM 22: The common tangent BC of a reversed curve is 300 m and has a bearing of S35°E. AB is…

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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…

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

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

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Q: are S 65°30’ E and N 75°40’ E, respectively. If the degree of curve is 8° for a full station of

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Q: The equation R versine 1/2 is looking for the value of: A. c. Middle ordinate В. Tangent Length of…

A: Answer :- Option b Tangent  The equation R versine l/2 is looking for the value of Tangent .  A…

Q: The backward tangent of +5% and a forward tangent of -3% is connected by a vertical symmetrical…

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Q: The bearings of forward and backward tangent are N 15°30’ E and N 25°40’ W, respectively. If the…

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Q: Given a compound curve 1=24 deg, 12=36 deg, D1=6 deg, D2=4 deg., Stationing PC is at 6+029.21. a.…

A: Given data- For the compound curve-I1=24oD1=6oAlso,I2=36oD2=4oTo Find-(a) Length of the common…

Q: SITUATION 3: A compound curve has the following data: L1 = 28° D1 = 3° L2 = 31° D2 = 4° Sta. P.l at…

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Q: Two straight lines AB and BC intersect at a chainage of 510.23m, the angle of intersection being…

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

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Q: Station PT of a compound curve is at 15+ 480, I, = 30°,I2 = 36°, D1 = 4°, and D2 = 5°. What is the…

A: To Find Station of P.C.C Given I1 = 30° I2 = 36° D1 = 4° D2 = 5° PT station = 15+480

Coordinate Geometry of Survey

Coordinate geometry (COGO) is a method of inserting surveying or engineering data into geographic information system (GIS), computer-aided design (CAD), or mapping software. These data can be collected on the proposed construction site using standard surveying techniques and instrumentation or may be taken from existing maps, engineering plans, drawings, or records. Data gathered on the site includes coordinates of points, bearings, and distances between points. The data are noticed and noted through conventional surveying procedures, like a traverse or layout measurement series and it can be either digital or non-digital. The maps and plans are inclusive of boundaries, divisions, and other components, and these features are shown with coordinate values, the lengths, offset distance, and bearings between them.