Answer Happy

Using the plan provided, and meeting the criteria set out below, you must make a preliminary design for a private road to access a rural property. The three straights of the road have been shown on the plan. The road starts at Ch00 on Tucker's Road. USING THE PLAN PROVIDED (9 MARKS) The plan was originally drawn at a scale of 1:2,000 but after scanning and printing it may not now be at that scale. You must find the scale of your plan. As well as the bar scale showing 100m, there are three surveyed lines, for which precise horizontal distances are known and are shown on the next page. Measure each of the four lines in mm and show these measurements in your answer sheet. Using the given (true horizontal) distances, compute the scale of your plan and state this in the answer sheet. (4 Marks) The plan provided has a contour interval of 5m. Assume that the contours are correct with 90% confidence. Using your plan find the bearings and distances of each of the three straights. Quote your answers to the nearest metre and nearest degree and adopt these values as being fixed for each straight. (.e. each straight will be exactly an even metre long) Use Tucker's Rd as your azimuth. (3 Marks) Mark the bearing and distance of each straight on your plan. This must be attached to your answer. (2 Marks) HORIZONTAL ALIGMENT (20 MARKS) Determine the deflection angle at each I.P. (4 Marks) Each horizontal curve is to have radius of 43m. Calculate the tangent distance and arc length for each curve (to 2 decimal places) and show them in the table of answers. (6 Marks) Calculate the chainages of each of the four horizontal curve T.P.s and the end of the road, and any other points listed, and show them all in the table of answers. (6 Marks) You will need to use these values in the rest of your design; e.g. for the end of the road and the TPS On your plan, plot each curve. (Calculating the external distance will give you a third point to help you draw the curve freehand.) Also clearly show the lengths of each straight (IP - IP) and the bearing of that straight. VERTICAL ALIGNMENT (30 MARKS) Using the contours on the map provided, draw a longsection of the Centre Line of your road at scales; horizontal 1:2,000 and vertical 1:200. (Please read the submission section for detailed guidance about drawing the longsection.) Design a vertical alignment of the centre line of the road showing grades and vertical curves. The vertical alignment must meet the following criteria: The road must start at RL 16.50 and must finish exactly at RL 25.30 at the chainage you have calculated as being the end of the road. Assume that the Natural Surface RL at the end of the road is exactly the same as the finishing RL of the road. The first IP of the vertical design must lie at Chainage 80 and RL 8.58. After that you must complete the vertical design using two (2) (or three at most) rising grades and one falling grade, which generally follow the land surface. You must aim to keep the road (i.e. the cut or fill) within 1.5m of the natural surface. If this cannot be achieved in a maximum of
four new grades, complete your design using four grades and then make a brief report and explain where the road has excess cut or fill and by how much. The maximum grade allowed at any point along the road is 10%. Vertical curves must have lengths of only 60m, 80m or 100m. The I.P. of each vertical curve must be located at an even 10m chainage (i.e. 120, 350 etc. and must not be placed at odd locations such as 376.5). All grades used must be to no greater precision than 0.1%, except for the final grade to the end of the line. (i.e. grades such as 3.1% must be used for every grade, except the final one where additional decimal places may be shown, if necessary, to ensure that the Design RL meets the set RL. Every change of grade requires a vertical curve. (Assume that your road will meet Tucker's Road precisely at the nominated RL. No vertical curve will be needed at this road junction.) Tucker's Road may not be at ground level, which is shown by the contours. Complete the table with your vertical curve calculations for the design levels. Calculate the Design Levels at every 10m of running chainage along the road. Also calculate the chainage (to 2 d.p.) and RL of the low point of the road at the river crossing. River and River Crossing Information The banks of the river where the road crosses it are at R.L. 9.8 At the river crossing, the design level of the road must be between 1m and 1.8m above the riverbanks to allow for a culvert to be built. If you believe that this can't be achieved design the road to be as close as possible to this specification and report the difference. TRAVERSE CALCULATIONS TO SET OUT THE END OF THE ROAD (8 MARKS) A survey party has run an EDM traverse from point A, whose coordinates are 600.000m E, 400.000m N, on the centre line of Tucker's Road via point Y, to a point X which is close to the end of the road. The bearings and distances are: Ch 00 - A: 156.74 A-Y: 95-01-50 414.075 Y-X: 8-12-10 183.805 Calculate the coordinates of point X using the survey data above. Also, using your bearings and distances of each straight of your road, calculate the coordinates of the end of the road. Then, using the coordinates calculated for X and the end of the road, calculate the bearing and distance for a survey party to set out the end of your road from point X. HORIZONTAL CURVE SET OUT DATA (8 MARKS) Please calculate the data needed to set out each horizontal curve from its first T.P. by deflection angles and long chords. The points to be set out are: running chainages of every 10m along the road (i.e., 120, 130 etc), the Crown of the curve and the second T.P. SURVEY PARTY INSTRUCTIONS (6 MARKS) There is a survey party at your disposal. They now have the data to set out the end of the road from Point X and the horizontal curves. They made a start on a more detailed survey, as shown below, which allows you to calculate an estimate of some volumes of cut or fill required. Please provide instructions to the survey party for them to gather any more information needed or areas to be checked so that you can finalise your road design.
VOLUME ESTIMATION (6 MARKS) The survey party has started to do a detailed set out of the road and has levelled every 10m from chainage 10 to chainage 70 along the road centre line with the results shown below. DO NOT USE THESE RLS FOR YOUR LONGSECTION. THEY ARE FOR THIS CALCULATION ONLY. 10 20 30 50 60 70 Chainage Nat Surf RL 40 13.25 12.64 16.07 15.23 14.86 11.35 10.68 The width (f) of the road is 4.5m and the batter slope (x) is to be 1 in 1.9. (See the diagram below.) Using your design levels for your road, the RLs above, find 'h' at each 10m location. Use the typical Cross Section shown below, to calculate, using the End Area Formula, how much cut or fill will be needed between chainage 10 and chainage 70. TYPICAL CROSS SECTIONS Road Formation Width (f) Natural Surface h Road Formation Width (f) Natural Surface FILL CUT TYPICAL CROSS SECTION Assume that the Road Formation and the Natural Surface are both horizontal across the section. X 1 X Batter slope is 1 unit vertically over x units horizontally. Precision of Calculations Needed All Chainages for horizontal T.P.s etc should be quoted to two decimal places. For the horizontal curve setting out data, please show the arc lengths and long chord distances to two decimal places of a metre and the setting out deflection angles to the nearest 1". All levels on the longsection table must be correct to two decimal places. The grades you nominate for the road design must be to no greater precision than one decimal place, except for the final grade, and all R.L.s must agree perfectly with the grade shown. Your road must end exactly at R.L. given for the parking area at your calculated chainage for the end of the road.
20 180 15 RD TUCKER'S Choo D 20 20 15 10 15 10 RIVER → 10 15 20 15 25 20 -35 + 30-2 STUDENT'S NAME 25 25 End N 25 Scala 1:2000 100 metres 218
Complete your answers in the spaces below and submit this word file or print it, fill it by hand and scan it. Most of the tables have extra lines that you may not need to use so don't worry if there are unused spaces. 1) USING THE PLAN Determine the scale of the plan (4 Marks) Distance on Plan (mm) Surveyed Dist (m) CALCULATED PLAN SCALE Line Bar Scale A-Y Y-X A - Start of Road PLAN SCALE ADOPTED BY YOU (rounded to nearest 10 - no units or decimals) .... Please give a brief reason why this scale was adopted Find Bearings and Distances of each Line (6 Marks) Line Bearing (nearest degree) Distance (nearest m, which must then be adopted as the final length) Ch 00 - IP 1 IP 1-IP 2 IP 2 - End 1) and 3) Both your plan and longsection will need to be scanned then pasted to the end of this word document. (Presentation and data for Plan 2 Marks; and Longsection 6 Marks) 2) HORIZONTAL ALIGNMENT (20 MARKS) Calculate each Deflection Angle (4 Marks) Deflection Angle at IP, (nearest degree)... Deflection Angle at IP₂ (nearest degree)... Curve Elements (4 Marks) Tangent Distance for Curve 1... Arc Length of Curve 1 ... Tangent Distance for Curve 2... Arc Length of Curve 2... Chainages along the road (12 Marks) Location Chainage 00 Start of Road Chainage of Hor. Curve TP 1 (to 2 decimal places) Chainage of Hor. Curve TP 2 (to 2 decimal places) Chainage of Hor. Curve TP 3 (to 2 decimal places) Chainage of Hor. Curve TP 4 (to 2 decimal places) Chainage of end of Road (to 2 decimal places) Scaled Distance to 1 Riverbank Scaled Distance to 2nd Riverbank
2) VERTICAL ALIGNMENT (24 MARKS; 18 for Design Levels, 6 for Low Point) Complete this table by calculating the design level at every 10m of running chainage. Please indicate the TPs and IPs of each VC in the chainage column with the chainage. (e.g. 320 TP, 360 IP) Your longsection must be pasted at the end of this answer file. Where possible please scan it. (Please complete the chainages in the table as necessary for your unique design). CHAINAGE GRADE GRADE LEVEL ORDINATE DESIGN R.L. 00 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250 260 270 280
290 300 310 320 330 340 350 360 370 380 390 400 410 420 Add in the extra chainages to complete the table to the end of your road. Show the chainage and RL of the Low Point in the row below. Show calculations for Low Point here.
4a) Traverse and Coordinate Calculations (8 Marks) Survey Party's Traverse from SSM to point X Horiz. AE AN LINE Bearing Dist E (+) W(-) N(+) S(-) A-Y Y-X Calculate the Coordinates of the end of your road Horiz. AE AN LINE Bearing Dist E (+) W(-) N(+) S(-) A-Ch 00 Ch 0-IP₂ IP₂ -IP₂ IP₂-END Calculate the bearing and distance to set out the end of your road from point X. Horiz. A E AN LINE Bearing Dist E (+) W(-) N(+) S(-) X-End CO-ORDINATES E N 600.000 400.000 CO-ORDINATES E N 600.000 400.000 CO-ORDINATES E N PT. A Y X PT. A Ch 0 IP₂ IP₂ End of Rd PT. X End
4b) Setting Out Data for Curve 1 (8 Marks) Points to be set out must lie at every even 10 or 20m of running chainage and also the crown point. (You may not fill every line in these tables). Point to be pegged Arc Length ỗi ÔT Long Chord 0 TP 1 Ch 0 0-00-00 TP 2 Ch Setting Out Data for Curve 2 Points to be set out must lie at every even 10 or 20m of running chainage and also the crown point. Point to be pegged Arc Length 8₁ 8T Long Chord TP 3 Ch 0-00-00 0 TP 4 Ch
5) Volume Estimation (6 MARKS) It is not essential that you use this table. If you prefer to use another layout, please do so below this table. Ensure that you show the volume at the bottom of the page in the space provided. Do NOT use these Natural Surface RLs for your longsection. THEY ARE FOR THIS VOLUME CALCULATION ONLY. Natural Road Chainage (Dist) Surface Design RL Depth/ Height of Cut or Fill RL Area 10 20 30 40 50 60 70 Volume of Cut or Fill required between 00 and 70 Cut / Fill