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Transportation Engineering

The document covers fundamental relations of traffic flow, including equations for traffic density, flow, and headway. It also discusses highway safety, accident analysis, sight distance calculations, and banking theory in transportation engineering. Additionally, it touches on railroad engineering concepts related to turnout lengths and angles.

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cmelbert.pogo07
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11 views48 pages

Transportation Engineering

The document covers fundamental relations of traffic flow, including equations for traffic density, flow, and headway. It also discusses highway safety, accident analysis, sight distance calculations, and banking theory in transportation engineering. Additionally, it touches on railroad engineering concepts related to turnout lengths and angles.

Uploaded by

cmelbert.pogo07
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Transportation

Engineering
(Professional Integration-CIE 094)
Fundamental Relations of
Traffic Flow
Fundamental Relations of Traffic Flow

•
•
Fundamental Relations of Traffic Flow

•
•
•
•
Fundamental Relations of Traffic Flow

• •

σ𝑽 𝑵
𝑻𝑴𝑺 = 𝑺𝑴𝑺 =
𝑵 𝟏
𝜮
𝑽
Fundamental Relations of Traffic Flow
Fundamental Relations of Traffic Flow

A B
Fundamental Relations of Traffic Flow

•
•

𝑵
𝒒=
𝒕

𝑵
𝒌=
𝑳 length/stretch of highway (in m or km)
Fundamental Relations of Traffic Flow

•
Time headway (ht)
time time

A B C

distance distance

Space headway (hs)


Fundamental Relations of Traffic Flow
Fundamental Relations of Traffic Flow
Fundamental Relations of Traffic Flow

𝒒 = 𝒌𝒗

𝟏
𝒉𝒔 =
𝒌

𝟏
𝒉𝒕 =
𝒒
Fundamental Relations of Traffic Flow
Fundamental Relations of Traffic Flow
Fundamental Relations of Traffic Flow
Fundamental Relations of Traffic Flow

𝑷𝒆𝒂𝒌 𝑯𝒐𝒖𝒓 𝑽𝒐𝒍𝒖𝒎𝒆


𝑷𝑯𝑭 =
𝑯𝒊𝒈𝒉𝒆𝒔𝒕 𝑷𝒆𝒓𝒊𝒐𝒅 𝑽𝒐𝒍𝒖𝒎𝒆 𝑺𝒊𝒎𝒖𝒍𝒂𝒕𝒆𝒅 𝒇𝒐𝒓 𝟏 𝑯𝒐𝒖𝒓
𝑷𝒆𝒂𝒌 𝑯𝒐𝒖𝒓 𝑽𝒐𝒍𝒖𝒎𝒆
𝑷𝑯𝑭 =
𝟒 𝒙 𝒗𝒐𝒍𝒖𝒎𝒆 𝒅𝒖𝒓𝒊𝒏𝒈 𝒑𝒆𝒂𝒌 𝟏𝟓 𝒎𝒊𝒏 𝒘𝒊𝒕𝒉𝒊𝒏 𝒑𝒆𝒂𝒌 𝒉𝒐𝒖𝒓

𝑷𝒆𝒂𝒌 𝑯𝒐𝒖𝒓 𝑽𝒐𝒍𝒖𝒎𝒆


𝑫𝑯𝑽 =
𝑷𝒆𝒂𝒌 𝑯𝒐𝒖𝒓 𝑭𝒂𝒄𝒕𝒐𝒓
Fundamental Relations of Traffic Flow
Fundamental Relations of Traffic Flow

𝟑𝟔𝟎𝟎
𝒉𝒕(𝒎𝒊𝒏) =
𝑪

𝟏𝟎𝟎𝟎𝑽
𝑪=
𝑺
Fundamental Relations of Traffic Flow
Highway Safety and
Accident Analysis
Highway Safety and Accident Analysis

•
Highway Safety and Accident Analysis

𝑨(𝟏𝟎𝟎, 𝟎𝟎𝟎, 𝟎𝟎𝟎)


𝑹=
𝑨𝑫𝑻(𝑵)(𝟑𝟔𝟓)(𝑳)

𝑨(𝟏, 𝟎𝟎𝟎, 𝟎𝟎𝟎)


𝑹=
𝑨𝑫𝑻(𝑵)(𝟑𝟔𝟓)

𝒇𝒂𝒕𝒂𝒍 + 𝒊𝒏𝒋𝒖𝒓𝒚
𝑺𝑹 =
𝒇𝒂𝒕𝒂𝒍 + 𝒊𝒏𝒋𝒖𝒓𝒚 + 𝒑𝒓𝒐𝒑𝒆𝒓𝒕𝒚 𝒅𝒂𝒎𝒂𝒈𝒆
Highway Safety and Accident Analysis
Highway Safety and Accident Analysis
Highway Safety and Accident Analysis
Data on a traffic accident recorded for the past 5
years on a certain stretch of a two-lane highway is tabulated as
follows.
Stopping Sight Distance
for Horizontal Surfaces
Stopping Sight Distance

𝒗𝟐
S = 𝒗𝒕 +
𝟐𝒈 𝒇+𝑮

𝑓
Stopping Sight Distance
Stopping Sight Distance
Passing Sight Distance on
a Level Road Surface
Passing Sight Distance

𝟏 𝟐
𝒅𝟏 = 𝒗𝑩 𝒕𝟏 + 𝒂𝒕𝟏
𝟐

𝒅𝟐 = 𝒗𝑨 𝒕𝟐

𝒅𝟒 = 𝟐/𝟑(𝒅𝟐 )
Passing Sight Distance
Sight Distance
Sight Distance

•
Sight Distance

• •
𝑨𝑺 𝟐
𝟐𝟎𝟎( h1 + h𝟐)𝟐
𝑳= 𝑳 = 𝟐𝑺 −
𝟐𝟎𝟎( h1 + h𝟐)𝟐 𝑨
𝑨 = 𝒈1 - 𝒈2
R= 100K
L=KA
Sight Distance

• •
𝑨𝑺 𝟐
𝟏𝟐𝟎 + 𝟑. 𝟓𝑺
𝑳= 𝑳 = 𝟐𝑺 −
𝟏𝟐𝟎 + 𝟑. 𝟓𝑺 𝑨
𝑨 = 𝒈2 - 𝒈1
R= 100K
L=KA
Sight Distance

• •
𝑳 = 𝟐𝑽 𝑳 = 𝟔𝟎𝒎
•
𝟐
𝑨𝑽
𝑳=
𝟑𝟗𝟓
Sight Distance

¾
Sight Distance
Banking Theory
Banking Theory

•
•
Banking Theory

𝑽𝟐 𝟏𝟏𝟒𝟓. 𝟗𝟏𝟔
𝑹= 𝑫=
𝟏𝟐𝟕(𝒆 + 𝒇) 𝑹
Banking Theory

𝑽𝟐
𝑰𝑴𝑷𝑨𝑪𝑻 𝑭𝑨𝑪𝑻𝑶𝑹 =
𝒈𝑹
𝑽𝟐
𝒕𝒂𝒏(ϴ + 𝝰) =
𝒈𝑹
𝒕𝒂𝒏𝝰 = μ = 𝒇

𝟐 ϴ
𝑽 ϴ
𝒕𝒂𝒏ϴ =
𝒈𝑹
Banking Theory
Banking Theory
Railroad Engineering
Railroad Engineering

TOE HEEL

Frog angle Heel Spread


(Ɵ) (HS)

Toe Length Heel Length


(TL) (HL)

Turnout Length

𝑯𝑳 𝟏
𝑭𝑵 = 𝑭𝑵 =
𝑯𝑺 𝟐 𝒕𝒂𝒏 𝜽Τ𝟐
Railroad Engineering

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