A chord should be measured within the tangent points of a curve on the center line. Gamal Helmy, Ph. Enter two values of radius of the circle, the height of the segment and its angle. Compute the tangent offset for each individual station. Can project a line through when lines don't intersect. Currently supports 21 combinations of: Angle, Radius, Arc Length, Chord Length, Tangent Length, Middle Ordinate, Segment Area and Sector Area. Then determine the pot's circumference (c) using the formula, c = 2 r. Equal chords are equidistant from the center. Before commencing to line, cut the track loose at the middle of the curve by re- moving the joint fastenings at one joint on each line of rails as nearly opposite as can be selected, and loosen the spikes from at least one line of rails between the joints thus cut in order to permit the two broken pieces of track to move independently of each. In [math]\Delta[/math][math]BDE[/math] and [math]\Delta[/math][math] FDC[/math], By Vertically Opposite Angles, [math]\angle BDE=\angle FDC\tag{1}[/math] Because. Do one of the following: Enter the radius at the prompt. PI, PC, PT. Search the history of over 377 billion web pages on the Internet. Under Angle, change the Format value to the unit you want to use. Solution to Example 7. R = C2 + M. 101, PQ and PR are two tangents to a circle with centre O. At the midpoint the middle ordinate is then measured out to the curve. Phone 407-823-2988 Class TTE3810 [email. Gage of Track. Download and install Cogo Survey Pro 3. To find the midpoint on your chords simply divide your chords in two. This simple circular curve calculator also gives you the value of the length of the curve, length of a tangent, external distance, length of a long chord and middle ordinate. Calculate the middle ordinate of a vertical curve. R - Radius of Curve. Circular Curve Components. Radius is determined by measuring the Chord and Middle Ordinate of the mark. ) ZA NA Significant weather phenomena Air stability (2 digits), temperature in centigrade (2 digits), humidity (1 digit), significant. Since the curve is symmetrical on both sides of the middle- ordinate, the offsets for the right-hand half of the curve are the same as those for the left-hand half. Can calculate area, arc length,chord length, height and perimeter of circular segment by radius and angle. AC is a long chord with length 65" and BD is a middle ordinate with length 15". In addition, a large radius fillet (R = 25% t) designed in the middle of the blade chord length can reduce the heat load on the suction surface. Using this online vertical curve offset distance calculator, you can calculate middle ordinates or distance of vertical offset curve of the highways with the given length of the curve, initial and final grade. The five elements of any horizontal circular curve, which are tangent distance, T, external distance, E, middle ordinate, M, chord length C, and length of curve, L, can be directly determined if. Quick and easy curve solutions. You also may have to solve these types of equations in career fields such as engineering, design and landscaping. As an example, if the curve chord measurement was 50 feet then the middle ordinate measurement would be taken at the 25 foot mark. ) Length of Curve: For a given external angle (Δ), the length of curve (L) is directly related to the radius (R). MIDDLE ORDINATE. Degree of curvature on the chord basis is thecentral angle subtended by a chord of 100 ft. Attack Angle Constant Radius Calculator If you are making a turn and encounter an obstacle, you can determine what the maximum attack angle your bike will achieve given you can determine the radius of the turn, and how far you travel in a vertical and horizontal distance from the start of the curve using this calculator. Register ProCalc. With this tool you can: Select all cities and towns that you have lived in then view a Google map with a marker showing you exactly where your average location is. L = Length of chord from PC to PT. A centrol angle is an angle formed by two radii. TCS Question Solution - Two parallel chords of circle of length 30 cm and 24 cm, radius of circle is 20 cm. All the labelled points, except D and E, are coplanar. Minor other changes reshuffling 2013-09-06 23:01 pramsey * NEWS, README. I am trying to understand what a middle Ordinate is in terms of geometry (I know it has a versine along a chord). Then, draw a second straight line that’s parallel to the first line on the opposite side of the circle. 50 feet, and for a forty d. A curve with a larger radius will need less points (longer chords = larger mid-ordinate distance) to return a smooth C3D surface contour. A circular segment is formed by a circle and one of its chords. 448 m On chords that are short, the difference between the chord and the arc is small. The radius r never changes, it is set to 20 in this applet. A curve with a smaller radius will need more points (shorter chords = smaller mid-ordinate distance) to look smooth C3D surface contour. , for both test installations. R = Radius of simple curve, or simply radius. The measurement of the radius should be made from the front outside mark at the scene, and not from a scale plan, using the chord and middle ordinate method. Manually, this works very well. station of PT. The sharpness of a curve may be described by the following:. Calculate the PC and PT stationing and the external and middle ordinate distances for this curve. Design, Fabrication and Test of Composite Curved Frames for Helicopter Fuselage Structure. R = C2 + M. You can measure a vehicle's speed by its yaw marks. Chords equidistant from the center are equal (w ithout proof). Understanding how to calculate the various parts of such an arc is an important mathematical tool in design. Suppose that the length of the arc is a, the length of the chord is c, the radius of the circle is r and the angle at the centre of the circle subtended by the arc has measure θ radians. DEGREE OF CURVATURE The last of the elements listed above (degree of. There is a Yaw Check Formula that is used to ensure that the yaw speed is accurate. the middle ordinate at the upper periphery of the structure, M at the midpoint of the chord. D - Degree of Curve. temperature and rail length to give appropriate rail gap for a neutral temperature. A circular segment is formed by a circle and one of its chords. Procedure: 1. 101, PQ and PR are two tangents to a circle with centre O. ; Dobyns, A. I was associated with him in the middle eighties in connection with the formation of the Canadian Society of Civil Engineers, in which he took a very active part. Most often vertical curves are used to improve the comfort, safety and appearance of routes. 0 Vertical Curves To hear audio, click on the box. c = Length of Sub-Chord. These ranges are indicated in FIG. = point of curvature r = radius of the circular arc p. Calculator Notes. 𝑅 represents the radius of the circle in feet; 𝐷 is the degree of curve; 𝐶 is the chord length in feet; 𝐻 is the middle ordinate in feet. Actually, in this particular case, there is a work around. At least one issue is that my ball nose tool is tapered. All the labelled points, except D and E, are coplanar. Solution: I = 56° 48' 20"-40° 10' 20" = 16° 38' 00". Mid ordinate: It is the distance between the mid-point of the long chord (D) and mid point of the curve (). a seven degree curve this chord is. Chapter 11 Geometrics Circular Curves A circular curve is a segment of a circle — an arc. Formulae for Horizontal Circular Curves. Where ‘a’ is the x co-ordinate of the centre, ‘b’ is the y co-ordinate of the centre and ‘r’ is the radius. middle ordinate. Figure 3 Elements of a Circular Curve. 48 minutes ago, Ms X said: Yep. Not easy to find but here is a site that purports to have the formula for the calculation. The " mean ordinate " or average ordinate is an ordinate of length 1 such that Hl is equal to the area of the trapezette. Easily share your publications and get them in front of Issuu’s. The only combinations that cannot be calculated have an infinite amount of solutions. M = Middle Ordinate. A middle ordinate is measured at 90° from the middle of the chord out to the arc (centerline). Finding radius where C is chord length and M is middle ordinate. Stretch a cord from A to B, and by means of the middle ordinate determine the point E. Curve Calc---> Calculate the middle ordinate by knowing radius and chord length. It looks like a simple question, but for some reason I just can't figure out how to do it: I am given the following circle (see picture) and need to calculate the radius. Middle ordinate, m or simply radius. They are just as crucial to good work as horizontal curves. Center Drill Dimensions Center drill dimensions for both standard and bell type center drills size 00 thru 8. D - Degree of Curve. Radius "R" and Chord length "C". The PI is at 16+22. Civil geometric design calculator helps to calculate degree of curvature from the radius. However, if the PC and PT of the curve are established in the usual way, the technique can be used to set POC's coming in from the PC and PT with given chord lengths and letting the odd distance fall in the center of the curve. I want to cut a "bowl" in some hardwood and cut the perimeter out. Geometric Design (II) and the side-friction factor. A curve with a larger radius will need less points (longer chords = larger mid-ordinate distance) to return a smooth C3D surface contour. Parametric form: For a circle centered at C(h,k), any point P on the circle can be written as (h+rcosθ,h+rsinθ), where θ is the angle that PC makes with the positive x axis. 10 at each of the points of division. Intersection By Points---> Calculate the coordinates of a point by intersecting lines with known coordinates. Calculate a circle's radius from a chord and a bisector with help from. The extension of the middle ordinate bisects the central angle. Settings---> Choose a custon delimiter. Only the outside front tire yaw mark should be used (which closely resembles the vehicle's center-of- gravity while in a yaw). Finally, the chord of the arc from the PC to the PT is called the long chord (LC) and the distance from the middle of the curve to the middle of the long chord is labeled M, the middle ordinate, and L is actual length. Hi Wayne, I don't have a nice answer to your question but I'll show you what I can do. station of PC. These equations neglect roadway width or horizontal control location. COURSE PROPOSAL. Chord :A line segment with end points on the circle. L - Length of Curve. Calculate the lengths of all road segments and assign each curve a turn number matching its Chord and Middle Ordinate. With this tool you can: Select all cities and towns that you have lived in then view a Google map with a marker showing you exactly where your average location is. PROCEEDINGS OF THE AMERICAN RAILWAY ENGINEERING ASSOCIATION CONTENTS, VOLUME 77 (For detailed index, see Bulletin 658, page 713) Bulletin 654, September-October 1975 Page Principles and Criteria for the Design of a Railroad Test Track Facility 1 Work Equipment Repair Organizations of North American Railroads (Advance Report of Connnittee 27 — Maintenance of Way Work Equipment) 9 Tie Renewals. to get radius I need8. To measure the degree of curvature of a track already laid. Question: Determine the center and radius of the circle {eq}x^{2} + y^2 - 8x + 6y = 0 {/eq}. A vertical curve provides a transition between two sloped roadways, allowing a vehicle to negotiate the elevation rate change at a gradual rate rather than a sharp cut. t shorter than the niinai length. The radius is R=OA=OC. 5 degrees, and the station of the point of curve, PC = 95 + 40. I will use @ for the angle subtended by the chord. The " mean ordinate " or average ordinate is an ordinate of length 1 such that Hl is equal to the area of the trapezette. To do the construction, draw any two chords and construct their perpendicular bisectors; their point of intersection is the center of the circle. 48 minutes ago, Ms X said: Yep. CIVIL PE BREADTH EXAM Volume 1 Isaac Oakeson, P. PT - Point of Tangency. They are just as crucial to good work as horizontal curves. Compute offset chords using the following ratios New Radius/ Original Radius = New Chord/ Original Chord For an offset of 22 feet to the inside of the actual curve the new Radius is 78 feet 1000 - 22 / 1000 = New Chord / 31. MINE SURVEY III (TH-II) Weisbach Method of correlation : The weisbach method of correlation is usually preferred when only one shaft is available. Degree of curve: The degree of curve (D) defines the \"sharpness\" or \"flatness\" of the curve. 10/15/2011 1 JCE 4600 Fundamentals of Traffic Engineering Horizontal and Vertical Curves Agenda Horizontal Curves Vertical Curves Passing Sight Distance. Calculate the arc length S and area A of a sector given its radius and its central angle t. Determine the radius of the curved yaw mark to the nearest tenth of a foot. Point Q as shown in the the figure is. Annotation, Block, Image, Layer, Polyline, Table tools and more. Open a sketch and draw a line that joins the two end points. sql, regress. The extension of the middle ordinate bisects the central angle. DISTRIBUTION RESTRICTION: Approved for public release; distribution is unlimited. Determine the minimum speed that the car was going when the skid occurred to the nearest tenth. C = Chord length in feet, where a chord is defined as a straight line connecting any two points on a curve. The formula for a long chord is \(\displaystyle 2Rsin(@/2)=65\). Chapter 11 Geometrics Circular Curves A circular curve is a segment of a circle — an arc. 0 m] is needed for stopping sight distance. Understanding how to calculate the various parts of such an arc is an important mathematical tool in design. Payment is made only after you have completed your 1-on-1 session and are satisfied with your session. Geometric Design Geometric design for transportation facilities includes the design of geometric cross sections, horizontal alignment, vertical alignment, intersections, and various design details. Horizontal curve equations utilize a radius measured to vehicle center of gravity (center of inner travel lane). Note that we are only dealing with circular arc, it is in our great advantage if we deal it at geometry level rather than memorize these formulas. The only combinations that cannot be calculated have an infinite amount of solutions. The arc definition is the angle subtended by a 100 ft arc. Choose a chord length (c), usually 25 or 50 feet 3. Chord Length Degree of Curve Delta External Distance Length of Curve Middle Ordinate P. BUREAU OF DESIGN AND ENVIRONMENT SURVEY MANUAL May 2001 Illinois CURVES May 2001 A-1 APPENDIX - A CURVES The radius can be used to define a curve in lieu of the degree of curve definition to describe. Settings---> Choose a custon delimiter. Free Download. a reduction in radius increases the sharpness. Change between a light and dark theme. Then, draw a second straight line that's parallel to the first line on the opposite side of the circle. gree curve the chord baa a true length of 98. In usual practice, the stakeout of a long-radius curve involves a combination of turning deflection angles and measuring the length of chords (C, Cl, or CZ as appropriate). Given the diagram below:- The Blue line is an arc of some radius. This online surveying calculator will help you calculate distance of offset vertical curve, a great civil engineering tool. What was the length of the chord used in this situ ation? Round the answer to the nearest tenth of a foot. Let A B, in Fig. The drag factor for the road surface was determined to be 0. Then Use two times the top radius (2R t) as Span S for calculations. 3) Create midpoints: The midpoint is the middle point of a line segment. R = C2 + M. This is called the "Chord" (C in the figure below). Mark the midpoint and draw lines at 90 Degree angles as in your picture. The " mean ordinate " or average ordinate is an ordinate of length 1 such that Hl is equal to the area of the trapezette. HTML preprocessors can make writing HTML more powerful or convenient. PI, PC, PT. between the ration between the length of the curve and the chord; and the ratio between the middle ordinate and the radius. Full text of "Transactions - American Society of Civil Engineers" See other formats. Degree of curvature on the chord basis is thecentral angle subtended by a chord of 100 ft. Radius of 10 degree horizontal curve extending 750 ft along centerline. Design, Fabrication and Test of Composite Curved Frames for Helicopter Fuselage Structure. The length of the chord is designated Le. D DEGREE OF CURVE. The terminal coordinates program may be used to find the coordinates on the Earth at some distance, given an azimuth and the starting coordinates. The minimum radius serves not only as a constraint on the geometric design of the roadway, – A free PowerPoint PPT presentation (displayed as a Flash slide show) on PowerShow. Radius Point /2 R R. Understanding how to calculate the various parts of such an arc is an important mathematical tool in design. Where C is the length of the chord, M is the middle ordinate. 1, 2017 Title 49 Transportation Parts 200 to 299 Revised as of October 1, 2017 Containing a codification of documents of general applicability and future effect As of October 1, 2017. That's what we need. If only two columns are present, the radius is taken from set style circle. At the Command prompt, enter ReverseOrCompound. Calculate PI coordinates. E = External Distance. Radius The radius is the distance from the center to any point on the edge. First, calculate the radius of a circle from a portion of it using the formula, r = (L 2 / 8M) + (M / 2) where r is the radius, L is the chord length, and M is the middle ordinate. Term Description. Intersection By Points---> Calculate the coordinates of a point by intersecting lines with known coordinates. 8,with D = 7 degrees, the curve’s radius R can be computed. Find the radius of a simple curve having a degree of curve of 5 using chord basis. Chord :A line segment with end points on the circle. L I E) I^AFLY OF The UNIVERSITY Of ILLINOIS C25. M - MIDDLE ORDINATE. Calculate the radius of the yawmark(s) from the chord-offset measurements. The selected option affects how the Degree of Curve Property is calculated. ∆ angle measured in the field. m = Middle ordinate, the distance from midpoint of curve to. Start studying cjta block 4. the middle ofthe Chord, 6Y, with themiddle ofthecurve sub-tended bythis chord, iscalled the Middle Ordinate, M. Degree of curvature on the chord basis is thecentral angle subtended by a chord of 100 ft. The longer the chord you create, the better your radius calculations will turn out. Design, Fabrication and Test of Composite Curved Frames for Helicopter Fuselage Structure. If the marks are too short to obtain two chords and middle ordinate measurements, then the maneuver is not a critical speed yaw. Road is 20 ft wide with 2 ft shoulder. Let A B, in Fig. E = External distance, the nearest distance from PI to the curve. I measure 23/32” (0. In the Curve Calculator dialog box, specify whether the degree of curve is determined by arc or by chord by selecting an option from the Degree of Curve Definition drop-down list. The formula used to compute the critical speed of the crash vehicle around a curve is as follows: first the radius of curve is computed by taking the square of the chord divided by the result of eight times the middle ordinate, then the division of the middle ordinate divided by two is added, and then one half of the track width is subtracted. A line segment that has its endpoints on the circular border but does not pass through the midpoint is called a chord. Future versions of Q-Cogo will be able to open all data produced by earlier versions. miles per gallon (mpg). Re: Finding the radius of a circle If I am interpreting correctly. Quick and easy curve solutions. MO = Middle ordinate. The Curve Surveying Calculator allows the calculation of curves for roundabouts, bends and corners or general highways to allow vehicles to safely transit a section of road. The only combinations that cannot be calculated have an infinite amount of solutions. Just draw an arc with the correct endpoints, zoom in close, and drag the arc's midpoint in/out a few times with the properties window visible. The formulas for length of crest vertical curves for the standard eye height of 1070 mm and object height of 150 mm are as follows: When S is less than L,. • If the second chord is measured from the end of the first chord, we may calculate the difference in radius between the first chord and the second chord. very important that delta is entered in decimals of a degree middle ordinate equation entry r=m÷(1-cos(d÷2)) this solves for missing delta, radius, middle ordinate, any combination of 2. M – MIDDLE ORDINATE. I want to cut a "bowl" in some hardwood and cut the perimeter out. If you cursor seems to disappear when you are trying to move it, then you are in the middle of a command. The angle of deflection between thetangents iscalled theIntersection Angle, /. 5 degrees, and the station of the point of curve, PC = 95 + 40. This quality is. This middle-point is the center of gravity, where you could balance the triangle and spin it around. By using equations involving the curve's radius, LC (length of chord), degree of curve, and middle ordinate, a relationship can be calculated. : Uses the standard radius of curvature formula. Where ‘a’ is the x co-ordinate of the centre, ‘b’ is the y co-ordinate of the centre and ‘r’ is the radius. 719) so Radius = 1/2 (. = point of curvature r = radius of the circular arc p. Attack Angle Constant Radius Calculator If you are making a turn and encounter an obstacle, you can determine what the maximum attack angle your bike will achieve given you can determine the radius of the turn, and how far you travel in a vertical and horizontal distance from the start of the curve using this calculator. R = Radius LC = Length of Long Chord M = Length of Middle Ordinate c = Length of Sub-Chord d = Angle of Sub-Chord l = Curve Length for Sub-Chord R. A chord should be measured within the tangent points of a curve on the center line. The Chord-Offset equation is very sensitive to small inaccuracies in measuring the middle offset. gree curve the chord baa a true length of 98. t shorter than the niinai length. Intersection By Points---> Calculate the coordinates of a point by intersecting lines with known coordinates. ELEMENTS OF A HORIZONTAL CURVE. Issuu is a digital publishing platform that makes it simple to publish magazines, catalogs, newspapers, books, and more online. The shortest distance between two points on the surface of a sphere is an arc, not a line. The elements of a circular curve are shown in figure 11-3. Question from Wayne: Given the length & radius of an arc, is there a formula that will accurately calculate the chord length? I'm an architectural designer, and would need it explained in layman's terms. Online middle ordinate calculator helps to calculate horizontal curve's middle ordinate value. A 30-50 foot chord length measurement is recommended. There are a couple of ways to calculate a pot's circumference. Basic circular curve elements (e. DEGREE OF CURVATURE The last of the elements listed above (degree of. Calculate: Radius Length of Curve BC and EC Chord External Distance Mid Ordinate. To do that we are going to use the formula: where is the length of the chord is the middle ordinate We know from our problem that the tires leave a yaw mark with a 52 foot chord and a middle ornate of 6 feet, so and. Point Q as shown below is the midpoint of L. The radius(R) or degree of curve (D) chosen consistent with the design speed. Elements of Compound Curve R = radius of the curve T = tangent distance I = intersection of deflection angle E = external distance M = middle ordinate LC = long chord or line connecting PC and PT PC = point of curvature or beginning point PT = point of tangency or end of the curve D = degree of curve L = length of curve PCC= Point of Compound. R = C2 + M. Intersection By Points---> Calculate the coordinates of a point by intersecting lines with known coordinates. The extension of the middle ordinate bisects the central angle. m = middle ordinate. Steepness of curve can be defined in term of radius as shown in the figure below. FOR 373 Fall Semester 2. 3 m] chord and found to have a middle ordinate of 13 inches [33 cm]. Chapter 3 Horizontal and Vertical Curves Topics 1. Each element is designated and explained as follows:. chord LC 2R sin ?/2 ; 6) The external distance E is the distance from PI to the middle of the curve. Find the radius of a simple curve having a degree of curve of 5 using chord basis. Prompts Save coordinates [Yes/No)] : press Enter or type "Y" and Enter if you want the calculated radius point to be stored in the coordinate file. Radius "R" and Chord length "C". A quick way to check this is to make two measurements in addition to the middle ordinate measurement. Let A B, in Fig. 4 after we are done) 2016-09-25 09:19 Regina Obe * [r15140] Document populate_topology_layer closes #3462 2016-09-25 07:32 Regina Obe * [r15139] Bring Tuning section up to date, by incorporating some of Mike Toews changes Add mention of configs to enable parallel queries Get rid of broken link to Kevin Neufeld's old. 44' 50', which, expressed in ^. To find the midpoint on your chords simply divide your chords in two. Curves that get wider or sharper do not have a radius. Horizontal Curve Design and Calculation: circular horizontal curves. For instance, Markdown is designed to be easier to write and read for text documents and you could write a loop in Pug. The middle ordinate is the distance from the midpoint of the curve to the midpoint of the long chord. Degree of curve: The degree of curve (D) defines the \"sharpness\" or \"flatness\" of the curve. • The second radius calculated should be smaller than the first if the vehicle is slowing. Elements of Compound Curve R = radius of the curve T = tangent distance I = intersection of deflection angle E = external distance M = middle ordinate LC = long chord or line connecting PC and PT PC = point of curvature or beginning point PT = point of tangency or end of the curve D = degree of curve L = length of curve PCC= Point of Compound. Geometry calculator solving for circle center to chord midpoint distance given segment chord length and circle radius Circle Segment Equations Formulas Geometry Calculator - Center To Chord Midpoint Distance. config: Update version numbers 2013-09-06 22:51 pramsey * doc/using_postgis_dataman. Unfortunately, this book can't be printed from the OpenBook. Radius of 10 degree horizontal curve extending 750 ft along centerline. if you enter an inside dimension for one input, enter an inside dimension for your other. With only the radius, you can determine that the chord is LESS THAN THE DIAMETER. 65 s) M = R 1 - cos -1-~-where. M = Length of Middle Ordinate. Calculate the chord c. A middle ordinate is measured at 90° from the middle of the chord out to the arc (centerline). By default a full circle will be drawn. Equation of a Circle with the centre is at the origin (0, 0) and radius r is given by: (x) 2 + (y) 2 = r 2 where (0, 0) is the co-ordinate of the origin and r is the radius. It was over a quarter mile long. I took my own advise and did a google search. LC = long chord. distance from the circle to the chord M. Don’t worry about trying to draw the straight line so it’s in the center -- anywhere on the circle will do. A series of chord and middle ordinate measurements were made of the outside front tire mark at regular intervals starting where the outside rear tire started to track. Then calculate the top radius R t by the formula, R t = M/2 + P2/(8M). 2594 degrees. R = 5730 / D (Degree of curvature is not used with metric units because D is defined in terms of feet. PI POINT OF INTERSECTION. = point of curvature r = radius of the circular arc p. station of PC. All dimensions are entered in millimeters and all outputs will be in millimeters; Dimensions must be entered consistently (i. Re: Finding the middle point of an arc Since we're no talking about trying to intersect the orbit of Pluto with a spacecraft, maybe we could just apply a bit of "close enough". m = middle ordinate. Calculate the chord length of a horizontal curve. See the relationship between radius of curve, the degree of curve, SSD and the middle ordinate S R M O TA 35. The angle of deflection between thetangents iscalled theIntersection Angle, /. Mis documentos. If you take a flat curve, mark a 100-foot chord, and determine the central angle to be 0°30', then you have a 30-minute curve (chord definition). First, we are going to find the radius of the yaw mark. Intersection By Points---> Calculate the coordinates of a point by intersecting lines with known coordinates. The middle number when numbers are in ascending or descending order. Settings---> Choose a custon delimiter. a) Find T, station of PC and PT, length of curve, length of long chord, and middle ordinate M. Register ProCalc. Along with elevation point vertical curve horizontal curve is second important factor in highway design, these curves are semicircles that provide constant turning rate to driver, compute this using this. a) Radius The sharpness of curvature is inversely proportional to the radius, i. minimum radius permitted by the specifications of say, 2864. Then you have your depth. Total station (or theodolite) out of adjustment. HORIZONTAL CURVES What They Are And How To Deal With Them FOR 373 Fall Semester 2 FOR 373 Fall Semester HORIZONTAL CURVE TERMINOLOGY Symbol Terminology Equation ∆ LC Long Chord 2R sin 2 R Radius OA = OB = OC L Length of Curve L = 0. The middle ordinate is the distance from the midpoint of the curve to the midpoint of the long chord. 0 Unported License.