The minimum length of a transition curve in highway engineering is determined by three criteria: rate of change of centrifugal acceleration (C = 0.5-0.8 m/s³), rate of change of super elevation (150 for plain/rolling, 100 for built-up areas, 60 for hilly regions), and empirical formulas (L = 2.7v²/r for plain terrain, L = v²/r for hilly terrain). The maximum value among these three criteria should be taken. Gradient is the rise and fall along the road length, expressed as 1 in n or percentage. For urban roads with slow-moving vehicles, the maximum gradient is 1 in 25 (4%). The total width of pavement on a horizontal curve equals the normal width plus extra widening (mechanical widening + psychological widening). Time headway is the time interval between successive vehicles passing a point, while space headway is the distance between vehicles. Traffic capacity can be calculated as 3600/q (where q is time headway) or 1000/(B × SHD) (where SHD is space headway).
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निर्माण BATCH|| CONCEPT THROUGH QUESTION -8 || CGPSC SES & ASST PROFESSOR LECTURER || By Sankalp sirHinzugefügt:
So a loving greeting to all of you. How are you guys? I hope your form filling date has started now and you must have started filling the form. Ok? And you guys must have also made a study plan because now you have about 94-95 days left. So you must have a road map as to how you have to prepare. If you have any other problems, you can tell us in the comment section.
Regarding that, we will bring a session and discuss it. Ok? Today the result of RRB JE has come and the result of RRB JE was very good and those who have been selected in CBT 1 should start preparing for CBT 2 as well and if I talk then yesterday we were discussing some State Engineering Service questions of Highway and we are doing it today also. Ok? So let's move on to the next question. The minimum length of the transition curve should be Ok? Should be the rate of change of centripetal acceleration and rate of super elevation values. So I told you yesterday only. Let me revise it once more, brother. Ok? It depends on three things. Let's revise it very quickly.
Length of transition curve. The first is based on the rate of change of centrifugal force.
Acceleration.
Ok? Second based on rate of change of super elevation.
Third Empirical Formula.
Empirical formula.
Ok? clear? Where will L = L = B / CR B be? It will be in seconds per meter. What is C? AT / 75 + V What would V be in here? It will be per kilometer.
What is C? Rate of change of centrifugal acceleration. C is nothing but rate of change of centrifugal acceleration.
Correct? And what is its unit? Meter per second. What will be the range?
Between 0.5 to 0.8.
Ok? clear? And then here if I talk about if you are raising the super elevation from the inner edge then in that case EN W + W if you are doing it from the center line then in that case what is EN W + W / 2 N? Rate of change of super elevation is 150 for whom? For plain and rolling.
Correct? N is 100. For whom? For built up area.
n is 60. For whom? For hilly region.
Correct? What is W? Width of payment.
Correct? What does WEE mean?
Extra winding width okay, empirical formula plain and rolling n = 2.7 v² / r v what will it be in kilometer r hilly and mountainous okay what will it be l = v² / r this is also in kilometer r the value of these three the value of all three if I talk about which value of all three should be taken if you talk about all three okay which value of all three should be taken maximum value which value of all three should be taken maximum so now tell me what will be the answer to this what will be the answer to this brother which value will we take which value will we take?
Share this session with everyone as soon as possible. Tell me it has started. Which value will you take?
Will take the maximum value.
Maximum value among the three. Ok? Based on the rate of which is the length of the transition curve, the length of the transition curve.
Ok?
I am taking you to three things here.
Which one is yours?
Rate of change of.
Ok? Centrifugal acceleration.
One is called jerk and the other is rate of change of super elevation.
And the third one is your empirical formula.
So which of the three should I take? I will take the maximum. I will take the maximum. This question has been asked many times. I take the maximum. I take the maximum out of the three. Let's move on to the next question.
Yes. The Maximum Gradient for Urban Roads OK? What is gradient?
What is gradient brother? What is gradient?
Rise and fall along the length of the road.
Along the length of the road.
Ok? We call it gradient.
We can express this either as one in n or as a percentage.
Ok? What will be the answer to this? This is a good data-driven question. This is a data question. Tell me quickly what will be the answer to this?
What will be the answer to this brother?
Ok? So generally how much is this for urban roads? That too for slow moving vehicles, 1 25 1 means how much? It is 4%. It is 4%. how much is a? It is 4%.
clear?
Clear clear clear. Ok? Now I also create a table according to IRC.
Ok? Mountainous Train and Steve Train for Plain and Rolling Train Steve Train Okay. One is your ruling gradient, one is your limiting gradient and one is your exceptional gradient. Exceptional gradient.
Ok? One is your exceptional gradient.
We are good. How much is this brother? There is 1 in 30.
How much does this cost? How much is 120? 1 in 15 1 right? Clear, so clear? Now because this is 1 in 20. You can also write this in percentage.
How much is this? 3.3% approximately 3.3% this 5% and this 6.7% now look pick the central value. This is done, pick up 5% 6% 7% Central. 6% 7% 8% I have got this revised for you also. I got this revised as well.
Ok? I got this revised as well. clear?
And if I talk about exceptional gradient, it is the highest. Then limiting gradient. Then rolling gradient and then minimum gradient.
Minimum gradient.
Correct? clear? Next question. Let's move on to the next question. We calculate the total width of payments on a horizontal curve. Ok? I have to tell you the total width.
Width of payment on a horizontal curve for a two-lane state highway.
Ok? What is the number of lanes? Two. Correct?
And what is its dead speed? 80 km But R. What is the length of wheel base given? 6 meters. Ok? And the transition curve length is 125 meters.
125 meters seems to be a bit incomplete question. It seems like an incomplete question, brother. It seems like a half-baked question. How will you solve it? Such questions may also come in the exam. Such questions may also come in the exam.
How will you solve this question?
Now look, such a strange question has also come.
Now you can solve it without thinking. I am asking you for the total width.
What will be the total width brother?
What will be the total width? W + W W + W Okay. Now if I talk about two lanes, two lanes without any curve, how much is it generally? 7 meters. And to length with rage of curve.
This is generally 7.5 meters. 7.5 meters. Ok? 7.5 meters. clear? Now what is he asking you here? Look at this question.
Many people are not able to understand. Here you will know that if I have two lanes, then what can I assume will be the width? Ok? The width will be 7 meters.
But what do I have to take out? I have to remove WEE.
Extra winding width. And what is the extra winding width full? This equals to mechanical widening plus psychological widening.
Psychological Widening.
Ok? What will this mechanical wide be? n * off tracking l² / 2r + v/ 9.5 r The problem is that v is given, n is given. Ok? I have given small l. But r is not given. First you have to find the radius.
First you have to find the radius. Did you understand or not? First you have to find the radius.
Now how about radius?
To find the radius, I have given you the length of the transition curve here. To find the radius, the length of the transition curve was given.
Ok? Gave the length of transition curve.
clear? So look at the length of the transition curve, you either have to calculate the radius from it.
Ok? So look, I will tell you two flowers. There are two ways you can find the radius.
Either l = v / cr or l = 2.7 v² / r is it ok? So here you put the length.
For example, if I am putting in this flower, how much have I given?
125 meters 125 and you convert this. Why have you given this?
80 km But it is given in R, right? So 80 km. But if you can directly apply that formula to it.
0.0215 is okay? 0.0215 * You can take B directly because here it is in meter per second, then we use it.
If you can use this formula when it is in kilometers then 80 cubes. Now I know that the value of C is generally between 0.5 to 0.8.
0.5.6.8 ok? I am taking 0.5. into R From here you can find the radius. From here you see this is a skip question because you cannot solve it without calculi. He had asked a very tough question.
Very tough question. How much is coming?
How much is R coming? Tell me how much R is coming?
Now whatever R comes, use that R here.
Whatever R comes, you can use that R here.
Whatever R you get, use that R there.
How much is coming? How much is R coming?
176.13 176.13 meters. Now you can use this R here.
Ok? You can use this R here.
2 * 6² / 2 * 176.13 + 80 / 9.5 1 176.13 OK. After solving this the value coming out is 0.859 meters.
So what was the width? 7 meters. So what will be the total width? 7 + 859 meters. So how much is this? A is done.
a The answer is done. What is the answer? A is done. Did you understand or not brother?
You are using two or three concepts here. You are using two or three concepts.
Ideally, this should have been finished by giving a radius instead of a transition curve. He turned around a little. I got the radius from you. I got the radius from you. Ok? Next question.
Identify the type of speed study to measure journey speed and running speed. To measure journey speed and running speed. I told you just yesterday. Just yesterday I told you what spot speed study tells?
Instantaneous speed indicates. Transient speed refers to instantaneous speed. Indicates momentary speed. And why do we call it Major?
Measured with an anoscope. Or measure it with a radar gun.
Ok? Or measure it from elevated observation. Correct?
What is origin and destination study brother? What is Origin and Destination Study? It has desire lines which indicate the number of trips. Ok?
ThicknessThe thickness of the desired line is directly proportional to the number of trips on both sides in both directions.directly proportional to the number of trips on both sides in both directions.
Ok?
And the direct number of trips depends on the thickness.
Traffic Volume Study What is Traffic Volume? R on the vehicle.
R on the vehicle. Ok? And to study this we read trend charts.
Annual Average Daily Traffic. Annual average.
Ok? Weekly Traffic, we read all these things. Now identify the type of speed study to measure journey speed and running speed. Just yesterday I told you that you will not consider stoppages and delays in running speed.
Ok? Stoppages and delays will not be considered. But you consider it in overall speed or journey speed.
So which one does this fall into? Comes under speed and delay study. Speed and delay. Now there is a method to measure speed and delay, the floating car method. Very important floating car method or moving car method. There are other methods also. This is very important.
Asks again and again. Ok? Similarly, for origin and destination study, license plate method, home interview method.
Ok? Post card method. These are the different methods that are used. There are different methods. There are many methods.
I explain all these things in great detail in the class. I will tell you in great detail. Ok? Is this clear? So what will be the answer to this? Speed and delay study. What will be the answer? Speed and delay. You people also have to keep giving answers.
This trance happened to him.
Yes. Identify the test required to simulate short-term aging of beauty.
Identify the test required to simulate short-term aging of beauty.
Very new question. New question.
Identify the test. Which test indicates short term aging of beauty?
Correct. Softening point test. Softening Point Test: Which apparatus do we use? Ring and ball apparatus.
Generally you will see its temperature, you find out the temperature here that which temperature can your beauty adopt, generally your beauty is 35° Celsius to 70° Celsius. Ok?
So what test is used for short term aging of beauty? There is a rolling thin film oven test. Which test is done? There is a rolling thin film oven test.
clear? This is a good question. This is a very good question. He has joined the State Engineering Service. Ok? Rolling Thin Film Oven Test. You got to know something new.
Correct? Next question.
Yes very nice. Relative stiffness is asking.
Calculate the relative stiffness.
What happens brother? What is the formula for relative stiffness? e We study in Rigid Payment. 12K must be remembered. 1 - What is μ² to the power 1/4 E? Modulus of Elasticity.
E is given to you here. Ok?
30000 Mega Pascals.
Correct? H thickness thickness of payment H is given to you 300 mm convert it into meter and also you are given Poisson's ratio 0.15 what is K what is K? What is K brother? P / P / I have given that to you also. Subgrade Reaction Modulus of subgrade reaction. How much has he given you? The meter at 62 megapascals has given all the right things. How much is the value coming? Put everyone. How much is the value coming? Tell. Now see, it will not be so tough because if calculi are not allowed then you cannot solve it without calculi. But it is very important for you to know this formula. I can ask you for the direct formula. I have asked the formula many times. Ok? I have asked the formula many times. What will be the answer to this?
What will be the answer to this brother?
And from this, another question can also be formed that this is your modulus of sublet reaction.
Another question that can arise is whether your L is correct? L Whatever happens, on what things does it depend? It depends on E. It depends on H. It depends on K. It depends on μ.
It depends on the modulus of elasticity.
This payment depends on the thickness.
Rigid Payment Thickness It depends on the modulus of subgrade reaction. And this coefficient of sorry also depends on Poisson's ratio. It also depends on the Poisson's ratio.
What is the answer coming?
1.027 1.027.
Next question.
The average speed of a vehicle in a certain road stretch at any time. This question came yesterday also.
Ok? The question came yesterday also.
I told you that there are two types of average spot speed.
One is your time mean speed and the other is your space mean speed.
Correct? What do you do in Space Means Speed? A certain road stretch. If it is given like this then what is it? Space means speed.
Time in speed follows your arithmetic mean.
Arithmetic follows the mean. And space mean speed is yours alright? Follows the harmonic mean.
What is the formula for harmonic mean?
V1 + V2 + V3 + V4 + V5 up to where? What is the formula of VN to N? VF = N / 1 / V1 + 1 / V2 1 / V3 OK. vt > Bl is fine. Ok. Next question.
The time between successive vehicles as they pass a point on the roadway is what? Ok? The Time Between Successive Vehicle.
Look at the time, there is a discussion about time between two vehicles.
Ok? Now look, there are two types, one is your space headway.
Space Headway. And one is your time headway.
Time headway. Understand carefully.
Correct? What happens in space headway?
This is your road, this is one vehicle, this is another vehicle. What happened to you with this head to head distance? This Is Your Space Headway. This Is Your Space Headway. Correct? So generally how do we find this space headway? Remove it by doing SHD + L.
Correct? So when you read the traffic capacity, its formula is 1000 B/S, what is this f? This space is headway.
This space is headway. Ok?
And if I talk about time headway, what is time headway? That is a particular section brother. A vehicle passed here. There will be some time for this. Ok? 12 minutes 2 seconds. Ok? Then there was another vehicle here. Now after some time this vehicle reached here. And when it flowed and reached here, its timing was 11:6 seconds. So you can see that the time headway between them is 4 seconds. 4 seconds. Ok? So the formula for capacity in this case is 3600 / q.
Correct? q what is here? Time headway.
Or instead of writing q, we write it as t.
t PA is fine. This is your time, Headway.
Ok? So the time between successive vehicles as they pass a point on the roadway is headway.
What do we call that? Headway speaks. Correct?
Next question. We have almost completed today's questions. Now the concept of softening point came.
Look, this is a softening point test, this is a ring and ball apparatus. This is your ring and ball apparatus. This is your ring and ball apparatus. Steel ball is used here.
This steel ball also has dimensions. Ok?
From here you find out a particular temperature.
Look at the thermometer so you can find out the temperature.
Ok? clear? So it is a temperature at which the substance attains a particular degree of softening under various conditions of test. And which apparatus do you use? You use the ring and ball apparatus.
Ok? Generally it is between 35 to 70°.
clear?
You guys use steel balls here. Ok? And you heat it at 5° Celsius for a minute so that it comes down, then as soon as it comes down, do it like this, it will come down, till then see it is clear and if I talk about it, the diameter of the ring and ball apparatus in the softening point test is 95 cm, what is it or it is 9.5 mm, what is its diameter? It is 9.5 mm. It is important. Correct? Is this clear? Is this clear? Where can I get the PDF of all this, sir? Where can I get the PDF of all this? You will find it in this group. In this group, I am giving updates of all the updated sessions, daily sessions and YT sessions. I am giving the PDF. Like today, we are giving updates on how to fill the form, all those things regarding all the State Engineering Services in this WhatsApp group.
Ok? Also, let me tell you that friends, our offline batch has just started.
Both offline and online are fine, you can definitely come and see the demo, here we are preparing you completely for proper state engineering service in technical and non-tech. You should definitely come and see the demo. We are not going to cover it superficially because there is a good syllabus in the State Engineering Service Exam and a good number of questions are going to come.
Ok? So, questions will be practiced well and things will be taught in some detail.
We will cover the important topics first.
As the survey is going on right now. Sir OSD, okay, I will get it done tomorrow, friend OSD.
Ok? Questions: I did not see many questions in previous years. Some more questions will appear tomorrow.
I will get it done tomorrow. Ok? I will get the OST done tomorrow. Ok? Tomorrow the first topic will be OST.
Tomorrow the first topic will be overtaking side distance. Ok? First I will start with you. Ok? Ok?
Anmol is asking Sir, get OHD done. So tomorrow I will start with your topic first. I will explain overtaking side distance to him.
Any of his questions in previous year questions.
Actually, what all this is about now is that I am making you guys solve previous years questions.
So these were some previous year questions of my SCS which I got covered here. Ok?
I will get the rest done tomorrow. Ok? Thank you.
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