HW4_Solution

A H.C questions .pco | C/Users/anwar/Downloads/Telegram%20Desktop/H.C%20questions%20 %20.pdf Maps ID Page view A Read aloud Highlight Erase Q6. Given horizontal curve has two-lanes with lower-than-average coefficient of side friction (0.1) and no superelevation. The lane width is 4-meter. The curve has a radius of 500 meter and a design speed of 80 km/hr check the safety of this curve. How can you show this?

Determine variables requested below for a horizontal curve with the following characteristics. Length of curve 1255', Radius 1200', sta of PC 12+00 superelevation rotated about the roadway centerline, 3 lane roadway, 14ft lane width, entire road section normal crown=2%, road design speed=60 mph, max superelevation=8% 8) The station of the NC is: O 8+12.5 8+90 8+92.5 O 11+22.5 O 12+00

Question 5 Calculate the horizontal sight line offset (ft) for a curve with a radius of 600 ft and a design speed of 40 mph. Response Feedback: 850-R [1-co(28.655)] HSO R

3. An engineering mistake has resulted in the need to connect an already constructed tunnel and bridge with a vertical curve. The profile of the tunnel and the bridge is given in the figure below. Devise a vertical alignment to connect the tunnel bridge if the highest common design speed is 20mph for the sag and 10 for crest (equal tangents). STATION 4+00 PVT BRIDGE DECK E LEVATION 126.67 FT TUNNEL FLOOR E LEVATION 100FT. STATION 0+00 PVC

The deflection angles of two intermediate points A and B of a highway curve are given below. The chord distance between points A and B is CAB while the long chord is C. Comput elements of the curve and find the stationing of the beginning and end of the simple curve. **No space before and after the plus sign for stationing. Station A B CAB с Sta of P.I. Deflection Angles 7° 30' 14° 31' Chord distance (m) 39 151.500 70+500 Elements of the given circular curve Radius (m) Intersection Angle (degree-decimal) Tangent Distance Length of Curve (m) Degree of Curve (degree-decimal) Sta of P.C. Sta of P.T.

The ordinates of a 4-hour unit hydrograph for a particular basn ordinates of the s-curve and therefrom the ordinates of 6-hiour ut 4-hr UGO (cumec) Time (hr) 3. below Deterrmine the Time (hr) 4-hr UGO ( E 110 70 12 25 14 100 16 160 18 20 8. 190 20 22 10 170 24

Assignment 3 : Horizontal Curve Design Question 1 A transition curve is required to connect two intersecting straights whose deflection angle (0) is DD° dd’ dd" by a circular curve of radius XXX metre. The though chainage of the intersection point (IP) is YYYY metre and pegs required on the centre line of the road curve at exact 20 metre multiples of through chainage. Bearing from T, to IP and coordinates at IP given as BB° bb’ bb" and (Northing, Easting), respectively. While proposed design speed and acceleration rate (a) are (SS)km/h and (AA) ms³, respectively. As a site engineer you are required to prepare and verify the setting out data for the proposed transition road curve design using tangential and chord distance based on proposed design parameters given by project consultant. 1

Two tangents intersect at station 26+050. A compound curve laid on their tangents has the following data: 1=31°, 12=36°, D1=3°, D2-5° 1. Compute the stationing of the PC. [Select] 2. Compute the stationing of the PT Select ) 26 + O50 P.I. V T1 P.C. OP.T. R1

A 500-ft curve, grades of g₁ = +2.00% and g2 = -2.50%, VPI at station 96+80, and elevation 845.260 ft, stakeout at full stations. Part A Determine the elevation at the high point of the curve. Express your answer in feet to six significant figures. Elev = Submit Part B AΣo↓ vec Request Answer Determine the station at the high point of the curve. O 97+12.77 O 96+13.33 O 96+52.22 O 97+96.66 ? ft

[Situation 1] A simple curve connects two tangent roads AB and BC with bearings N88°40'E and S61º40'E, respectively. If the chainage (or stationing) of the point of intersection of the two tangents is 4+331.42 and the radius of the curve is 300 m, determine the following: i. Versine, V ii. Long Chord, C iii. Length of the curve, LC 8:45 PM /

(auall b L) Microsoft Word ASSIGNMENTS 2 133 جد هوز أيجد هوز T| |师 年,ヨ wai تأگید دقیق V úlgic blosi I2 1 3 1 4 51·6 9. 1 10 1 11. 1 12.I 13.I 14 1 15 1 16 1 QI. For a compound normal curve, given the following data, Draw a neat compound curve a) The total interior angle = 142° 25' 43", b) Radius of Curve 1 =716.197 feet c) Length of Curve 2 = 1568. 572 feet d) Degree of Curve 2, D2°= 5° [Not Mentioned whether arc or chord definition] e) Station of Point of Common Curvature =25+49.080 Find the Radius of Curve 2 R2, Interior angle of curve2 A2, Interior angle of curvel A1, D1°, Length of curve 1 L DELL

The highway engineer of a certain road construction decided to use a radius of 100 m. in laying out a simple curve having an angle of intersection of 36-20'. The stationing of the vertex is 30 + 375.20 after verifying the actual conditions of the proposed route, it was found out that the P.T. should be moved out in a parallel tangent having a perpendicular distance of 10 meters with the angle of intersection remaining the same while the curve shall have the same P.C. 1. Compute the new tangent distance. 2. Compute the new radius of curve. 3. Compute the stationing of new P.T.

NEED ASAP! THANK YOU A straight railroad AL intersects the curve highway route BC as shown in the figure. Distances on he route are measured along the arc using the data specified.   (USING STATION C) -Compute angle COP -Compute the length of curve (Lcu) in meter, from point C to point P in meters. -Determine station C.  -Find the stationing at the point of intersection “P” of the railroad and the highway curve

% PY . I. . * o Home Work No.3... Home Work No. 2 An engineer has been decided to connect a tunnel with floor elevation (100.00m) and station (0.00) with bridge elevation (112.50 m) and station (0+450). He suggested vertical curves with equal tangents. Sketch the Figure. Is the crest vertical curve safe to provide sight distance for design speed (70 km/hr.)? Use t=2.5 sec. Bridge levation =112 5 Bridge Station od450m Tunel elevation J00m Tunnel station a00 II

if the TS is 23+20.25 what is the station the tangent runout begins ? Given a four lane roadway with a 50 mph travel speed, thatis entering a spiral curve and han a design max superelevaton of 4 0% he TS 23-20 25 what is the saton the langent nunout begins? (enter the h sation with sign, example, enter as 15-35 75)

Practical part: Q1). It is required to connect two intersecting straights whose deflection angle is 39°18'30" by a circular curve of radius 600m. Pegs are required on the centerline of the curve at exact multiples of 25m of through chain. Calculate the data necessary to set out the curve by the tangential angles method and draw the horizontal curve.

Using the information given, compute the deflection angles (in degrees only not deg-min-sec) for the first three full stations of the simple highway curve. Express answers into two decimal places and do not type the unit. PI = 0+762.27 1 = 10 degrees D = 1 degree Station Notation Format 9+999.99 1st Sta 2nd Sta 3rd Sta Deflection Angle Deflection Angle Deflection Angle

A +4.5 percent grade on rural freeway intersects with a -3.5 percent grade at chainage 67 +500 at an elevation 75.000. If the design speed of the freeway is 100 km/h, NB: obtain the value of (K) from table Automatic Zoom : TABLE: 2 MINIMUM VALUES OF K FOR VERTICAL CURVES DESIGN CREST SAG SPEED CURVES CURVES (km/h) 40 8 50 11 12 60 16 16 70 23 20 80 33 25 90 46 31 100 60 36 110 81 43 120 110 52 130 133 57 2. 5.1. Determine the chainages and elevations of the BVC, EVC, and the highest point. (13) 5.2. If the road is staked at 50m interval Calculate the elevations of all full chainages along the curve.

12. For a 3-hr unit hydrograph, determine a 3-hr S-Curve? 18 24 Time (hours) 0 Q(cfs/inch) 0 6 12 30 100 40 0

Determine the cant to be provided on a BG track of 3 ° curve if the speed of several trains is as follows Number of vehicle 8 10 23 11 13 Speed (kmph) 40 50 60 70

Question t Pow t Edge Calculate the length and radius for the following curve. The PC is at Sta 8+10. The PT is at Sta 10+50. The delta is 17d 32m 00s. t Excel t Word t Word t Pow t Pow t Wore t Pow

Problem A horizontal curve with R=268m is part of a 2-lane highway, and the minimum distance that a large billboard can be placed from the centerline of the inside lane of the curve is 18m. Find the maximum_speed (in Km/hr) on the curve without reducing required SSD? Assume t-2.5 Sec. and a=3.5. CS Scanned with CamScanner

H.M 6: Use the following figure, to calculate the curve elevation of full and main stations by using Analytic method? P.V.I -3% P.Y.T P.V.C 36. Som 41 +60 =240m 十

The highway engineer of a certain road construction decided to use a radius of 100 m. in laying out a simple curve having an angle of intersection of 36'20', The stationing of the vertex is 30 + 375.20 after verifying the actual conditions of the proposed route, it was found out that the P.T. should be moved out in a parallel tangent having a perpendicular distance of 10 meters with the angle of intersection remaining the same while the curve shall have the same P.C. O Compute the new tangent distance. @ Compute the new radius.of curve. 3 Compute the stationing of new P.T.

A highway curve was designed to connect intersecting tangents intersecting at an angle of 72°. The degree of curve is 4°30'. What is the length of chord that connects the PC and the midpoint of curve? a) 167.78m b) 157.38m c) 174.67m d)166.89m What would be the difference in the length of curve if this will be applied for railway? a) 0.12m b) 0.08m c) 1.45m d) 2.56m

Q3) The perpendicular offset distance from point A on a simple curve to Q on the tangent line is 64m. If the distance from PC to Q on the tangent is 260m, compute: (a) the radius of the simple curve (b) the length of curve from PC to A P.C. 64 0. 260 R-64 20 68 P.T.

Compute the passing sight distance available given a 440-ft curve, grades of ₁₂ Express your answer in feet to five significant figures. |VG ΑΣΦ S= vec 4 A I ? ft +2.00% and 9₂ -1.50%. VPI at station 96+80, and elevation 845.26 ft, stakeout at full stations. (Assume h₂ 3.75 ft and h₂=4.75 ft.)

Complete the table below. Unit Simple Curve Intersection angle Degree of Curve Radius 1 2 22 25 Tangent Distance m |Long Chord m Length of Curve m Compound Curve Elements ICommon Tangent m Length of Curve Angle of Intersection Sta of Tangent intersection 4+200 m IStation of the start of the curve USEFUL EQUATIONS 1145.916 D° = C = 2Rsin R [D° sin 10m 2.TR LC 360° 0° 2 R = T = Rtan 20 LC E = R[sec(0/2)-1] 27- M = R[1- cos(0 /2)]] 10m sin(D° /2) LC 360°

Quèstion 9 A 1800-kg truck travels at 85kph around a banked curve with a radius of 250 m. What should be the super- elevation so that the tire friction is not needed to prevent the car from sliding? O A. 0.114 Ов. 0.295 Ос.8.227 O D.0.382 O E. None of the above A Moving to another question will save this response. « > acer Pause Del F10 F11 F12 PrtsSc F7 F8 F9 SysRq Break Ins F4 F5 F6 Scr Lk & 9 5 € 6

Question 11 A 12-degree simple curve i5 to l between the tired and pavement ened fon a maximum speed of 88 kph. The coefficient of friction that is the reguired super-elevation in percent? O A7.87 OB.8.11 OC 63.8 O0.23.8 OE None of the above Question 11 of 50 A Moving to another question will save this response. acer F10 F11 F12 PrtSc Pause Del Нome Pg F3 F4 F5 F6 F7 F8 F9 Scr Lk SysRq Break Ins Coca & Backspace € 7 P

Determine the height h in meters of the 100m2 cross section at Station 1+180 if the base of the roadway is 12meters and having a 2 : 1 side slope.