Transpo engineerig notesheet, Study notes of Transportation Engineering

For midterm transportaton engineering

Typology: Study notes

2025/2026

Uploaded on 03/16/2026

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EQUATION
INDEX
Governing
Eyn
of
Vehicle
Dynamics
:
Tractive
effort
and
resistances
Aerodynamic
Resistance
Rolling
Resistonce
Grade
Resistance
Engine
Generated
Trac tiv e
Effort
Vehicle
Speed
from
Engine
Speed
&
Maximum
Friction
Force
for
rem
wheel
drive
Maximum
Friction
Force
for
front
wheel
drive
Brake
force
ratio
Braking
Efficiency
Braking
Distance
Perception
time
and
perception
distance
stopping
Sight
distance
from
speed
Vertical
Curve
equation
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff

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EQUATION INDEX

① Governing^ Eyn^

of Vehicle Dynamics :^ Tractive effort

and resistances ② (^) Aerodynamic Resistance ③ (^) Rolling Resistonce Grade (^) Resistance ⑤ Engine^ Generated^ Tractive^ Effort ⑥ Vehicle^ Speed from^ Engine (^) Speed & Maximum Friction^ Force^ for^ rem wheel^ drive ⑧ Maximum^ Friction^ Force^ for^ front^ wheel^ drive ⑨ Brake^ force^ ratio Braking (^) Efficiency Braking Distance Perception time^ and^ perception distance stoppingSight distance^ from^ speed Vertical Curve equation

Vertical Curve^ offsets K for^ vential^ curves Crest Curve^ sight distance Say Curre^ Sight distance ⑲ Passing Sight Distance Underpass Sight^ Distance Cornering (^) Egration (Rv, fs^ ,^ V, e) Basic (^) Horizontal Curve^ egrations stopping (^) sight distance^ for^ horizontal^ curve^ obstructions Determine Mr^ from^ CBR Equivalent Single^ axle^ loud^ equirancy factor Structura Number Design Lune^ loads Unstructured (^) Target Search^ time

~ (^) speed in (^) tps tre =^0. (^01) (1 +^ mn) Re composed of D) (^) Tire deformation - (^90) % (^2). (^) Tire (^) penstration/surface (^) compression -^7 %

  1. air^ around^ wheel-6% Pire = (^) fre (^) WcosE V Grude (^) Resistance small^ &^ appox _ ① 〜 Rg = Using - WG Tractive (^) Effort Available (^) tractive efort^ =^ min^ [Fac (^) Fron-Tire) ^ '^ j engine (^) generated Max friction force tractive (^) effort of^ road-tire (^) interface Engine Generated^ Fractive^ Effort Fe = engine (^) gen tractive effort ⑤ Fe =. Me (^) to (^) Pd Me = Engine (^) Torgue γ (^) to = year reduction^ ratio (^7) d =^ driveline (^) efficiency r =^ wheel^ radius bpe =^
  • (^) Me : (^) ano-bue where he is engine (^) ups and^ a^ and^ b are constants (^) depending on (^) car

Vehicle

Speed vs.^ Engine^ Speed

V=^ vehicle^ velocity

v =^ wheel^ radius ⑥ v = 2urne(1 - i) (^) Be = (^) crankshaft (^) ups E 。 (^) i = (^) driveline slippage to = year reduction^ ratio MaximumFriction^ Force Rear Wheel^ Drive M^ = coett (^) of (^) friction W= vehicle^ weight ⑦ F = MW(lf- freh)^ bilf =^ half^ of^ wheelbase

L

  • uh fre =^ coeft^ of (^) rolling resistance h = height of (^) centroid Front Wheel^ Drive 1 = length of^ wheelbase ⑧ (^) F = MW(lr +^ freh)/L (^1) t F = yW a- 4abeel drive

Stopping Sight^ Distance (from^ speed) (^9) , 2 SSD = 2g( = (^) G)

  • (^) V, tp Q =^11 , (^25) ㎡ & used to (^) create (^) Table 3. 1 in Text^ tp :^2.^5 s GEOMETRIC DESIGN Ventical Currves absolute difference PVI _ in (^) grades · (AC G ↑

PV

1 12 .

i

x Vertical Curve equ

y

= (^) ax 2 t by^ tc PVI^ ELEr

= G^.

a = 路

b = G,

c = Yo =^ Elev pre

Vertical Curve Offseter y

distance from^ initial

↓ (^) ) A^ tangent o (^) corr ⑥ .y!- 1 m 世 ⑥ · I X k

! Y :^ . × Im 学 : ‰ K :^ Length of^ Curve^ required for 1 % (^) change in Slope Length of^ Curre^ in + ← K = EF m abs (^) diff of grades 5 %) i horizontal distance (^) for (^0) % S horizonta a a 、 、 Xule = (^) K. 1 G、 1 [distance from PVC Tabs (^) val of to (^) high or low

initial grade

point

Sag Curre Sight Distance · (^) depends on headlights

K

S

Ton ¿ ~ σ (^) J (^) B 10 ) ↑ @ PVT · K PVI λ ∠

For S2L^ For S^ >^ L

As ? L =^25 - (^200) (Ht Sten (B)) L = (^200) ( HtStan( B^5 )^ A Simplifications :^ H^ = (^) 25t

, B^

and S^ =^ SSD SSD <^ L^ SSD^ >^ ( A x (^) SSDD

L =^2 × (^) SSD

L= 400 + (^3). 5 x (^) SSD 40 & (^) assumes L > SSD (^) L = (^) KA K=+^3 .SSSD

  • see table 3. (^3) for K values ⑨ Passing (^) Sight Distance^ Conly^ for^ Crest^ curves) PSDL PSD^ >^ L L :^ = 2 ×^ PSD -^ K^ = (^) 器 。 ← sec>強^ e^34

Underpass Sight^ Distance Couly^ Sag^ Curves) k S^ } 0 dm ^

∞ _' ↑ PVC The q (^) pVT V PVI } ( □ scl (^) S > L

As

? に (^800) ( H - (崎)) L : (^25) - Simplifications :^ h^ =^ 87t^ (truck)^ , he^ =^ 2S

S =^ SSD SSDC L (^) SSD > L L =

A ×

NOOCH- S (^) ) ん = 2 ×SSD ⼀

Stopping Sight^ Distance For Horizontal Curves ∠ ssm ∠ _ ' ^ … … ^ G ↑ obstruction

R Rv

Δ _

As

_ · Ms = (^) Ru (^) ( 1 - cos()) ' SSD = Zv (c0s"^ ())

PANEMENT Design Present (^) Serviceability Index (^) (PSE )

  • user defined
    • relates (^) driver rating to^ physical attributes -Tells (^) us how (^) good the (^) pavement is

Decrease in PSI

PS pSt.^ ' _

due to traffic

PsIE ; π t PSI 「 p3% / doe to^ weather psìz PSI 「 p3t

. totul ← psIt > (^) t ~ DesignParameterse^ strength : (^) water content ,^ soil^ type (2.^ Loads^ ·^ trucks^ and^ buses

  1. Environment :^ freezing/ swelling

Zp

: used in

pavement equ^ and (^) obtained from R^ %

  • see (^) table 4. 4 k :^ modules of (^) subgrade reaction^ ; Determined^ from^ LBM
  • see table 4. 9 Design Lane^ Loads design-lane Wis = (^) PDL X^ directional Wis proportion of^18 in^ Given^ lane^ :^ see^ table^4.^18 TRAFFIC (^) SAFETY Unstructured (^) Target Search^ Time

of^ torgets

T =^ W Fm search (^) time (^) per torget & forget will^ be^ found^ after Of (^) forgets are searched^ on^ ang Perception

  • Reaction Time ~ (^) Is , use^ I. S (^) for (^) design

10 for traffic ops

· (^) affected (^) by age ,^ driver^ experience ,^ conditions

Vehicle features^ impacting safety

  • Mass (^) and materials

Braking Capabilit . (^) ' _ Energy absorption besign

  • Advanced (^) Driver assistance Road (^) design features (^) impacting (^) safety
  • Curvature and (^) Gradients ~ surface quality
  • lane width
  • road (^) markings
  • visibilitey

pedestrian crossing^ facilities Tratfic (^) Safzty solutions^ (3Es]

Engineering ~ (^) safer roads and (^) vehicles

Enforcement

  • mitigate risky behavior this (^) policing
  • (^) Education

improve driver^ skills Traditional (^) approach vs. Safe^ system (^) approach Reduce Crashes Reduce Casualties Reactive / Incremental (^) Proactive/systemic Crashes (^) caused (^) by shared (^) responsibility (^) , uson non-compliant users and^ system at fault