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Highway Design
Class 3
Vehicles
1
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From Last Time
• Purchase book
• Lecture – History
– Finance overview
• Housekeeping – mails! Course " in #ub$ect Line
• %& 'C(VL )1* +uestion on Homework,
• Homework 1 – Due -*.-1.*-1/ 0Toay2
*
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oa e c ePer4ormance• 5hy is vehicle
per4ormanceimportant6 – Determines all highway
esign an tra7coperations
– De8nes howtransportation engineersmust react to avancingvehicle technologies
– The single most
important 4actor ine8ning the traeo9between mobility0spee2 an sa4ety
3
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Vehicle Per4ormance
Vehicle Capabilities
• :cceleration
• ;reaking
• :ccienteconstruction
• nviro (mpacts – missions
– Fuel
–
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Vehicle Per4ormance
Driver Capabilities
• perception.reaction times
• eyesight0peripheralrange= heightabove roaway2
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:cceleration
• Case o4 constant Power
• 5here t = time
•
Where f = force and x = distance
• Where v = velocity
•
/
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:cceleration
• #pee vs Time
?
v
t
Constant Acceleration
Falling objectv
t
Constant Power Vehicles
• Distance vs Time
x
t
Constant Acceleration
Falling object
x
t
Constant Power Vehicles
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60
30
:cceleration
• #pee vs Distance
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:cceleration= Velocity= Distance
v f = v 0 + at
d = v 0t +
(!at "
v f " = v 0
" +
"adv f = final velocity, ft/sec
v0 = initial velocity, ft/seca = acceleration or deceleration, ft/sec2
t = time, sec
d = distance, ft
where
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esistance Forces
1& :ir
*& (nertial
3& @rae
)& olling
A& Curve
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1& :ir esistance
Fa = 0.5 x Cρ
x A
x ( ρ
xv
2
!
C# B rag coe7cient 0-&) -&2
A B 4rontal cross sectional area 04t*2
E B air ensity 0lb.4t32 0-&-?2
v B vehicle velocity 04t.sec )
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Coe7cient o4 Drag CD
1*
• Volkswagen L1 B0.189
• @G V1 B 0.195
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*& (nertial esistance
Fi = m x a = (w/g) x a
w B weight 0lbs2
$ B 3*&* 04t.sec*2
a B accel 04t.sec* )
Force to accelerate
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3& @rae esistance
Fg = m x g x sin Ө
ӨӨ
Fg
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Fg = m x g x sin Ө
23o
Ө
Fg
w = 2.6 Tons
3& @rae esistance
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23o
Fg =
2000 #
w = 5200 # 5
1213
Fg = m x g x sin Ө
3& @rae esistance
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Fg = m x g x sin Ө
23o
Ө
Fg = 2000 #
w = 5200 #
3& @rae esistance
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Fg = m x g x sin Ө
23o
Ө
Fg = 2000 #
w = 5200 #
3& @rae esistance
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Fg = m x g x sin Ө
6o6
Fgw = 2.6 Tons
10
1
3& @rae esistance
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6o
Fg
≈
520 #
w = 5200 # 1.04
9.9410
f t!e angleis small,
"in ≈ Tan
3& @rae esistance
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)& olling esistance
F r
• F r = x w
$rder of magnit%de& '0 l(s/ton
-I Tire e4ormation1-I Gechanical parts
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3& J )& olling an @raeesist&•
(4 a vehicle is on a hill= the graeresistance will ten to make it rollownhill
• The rolling resistance will ten tokeep the vehicle 4rom rolling ownhill
• :lthough it is goo to know thevehicle weight= the weight is notnecessary to solve these types o4problems because mass isproportional to weight&
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• #ay a concrete truck is parke on a
hill an assume it weighs A tons&:ssume the rolling resistance is A-lbs per ton& :ssume the hill is a 3I
grae 03 vertical per 1-- horiKontal2&nce the parking brake 4ails= how4ast will the truck be rolling own thehill in 1- secons6
3& J )& olling an @raeesist&
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)*
)
100
3& J )& olling an @raeesist&
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)*
)100
1 0 0. 0 + 5
10,000.00 #
,5.50 #
2.-'#
&
)
100
)
1 0 0
1 0 0 .
0 + 5
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)*
)100
1 0 0. 0 + 5
,5.50 #
50#x 3,5.50#/2000#/ton4
= 2+.-#
$&
3& J )& olling an @raeesist&
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)*
)100
1 0 0. 0 + 5
,5.50 #
2+.-#
$ 7
F8T$&
2.-'
49.98#
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F = m x a
F = m x a = (w/g) a = 49.98#
F = (10,000/32.2) a = 49.98# a = 49.98 (32.2/10,000)=0.161ft/sec2
Afte 10 sec!"s, v = 1.61 ft/sec(1.08 m$%)
&ist = ' a t 2 = (.)(0.161) (100) =8.0 feet
3& J )& olling an @raeesist&
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A& Curve esistance
F = m x aFc = m x ac = (w/g) x v
2 /(2
x )
V B spee 0velocity2
04t.sec2w B weight 0lbs2$ B 3*&* 04t.sec*2
a B accel 04t.sec* )
V
F
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Power an Force eMuirements
v B spee 0velocity2
04t.sec2% B sum o4 resistances0lbs2
B∑ & a '& i = & $ = & r = & c
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Tractive 9ortN Coe7cient o4 :hesion
• Tractive 9ort 02 – Force reMuire to overcome esistance
• Ga%imum tractive e9ort available 4rom roa sur4ace
• B coe7cient o4 roa ahesion
– Ga% F 4or 4ront an rear wheel rive vehicles• #um moments about the 4ront an rear a%le
•
31
coefcient o roadadhesion
Pavement Ma
!lide
@oo an ry 1&-- -&-
@oo an wet -&- -&/-
Poor an ry -&- -&AA
Poor an wet -&/- -&3-
Packesnow.ice
-&*A -&1-
V l it : l ti
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Velocity an :cceleration
v f = v 0 + at
d = v 0t +
(!at "
v f " = v 0
" +
"ad9e!icle acceleration 3ft/sec24
8ar 10
:i;
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1& Visual 0sight2
2. >inest!etic 3movement4
). 9esti(%lar 3e?%ili(ri%m4
+. %ditory 3!earing4
The #ensory Process
Driver Characteristics
i h i i
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Perception eaction Time
The intervalbetween seeing=
4eeling= or hearinga tra7csituationO
an making aninitial response towhat has beenperceive&
Driver Characteristics
D i Ch i i
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Perception eaction! ) 'Points,
1& Detection
*& (enti8cation3& Decision
)& esponse
Driver Characteristics
D i Ch i i
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Perception eaction
• Detection something enters the8el o4 vision
• (enti8cation #u7cientin4ormation is collecte to make aecision
• Decision 5hat action to take• esponse :ction carrie out
Driver Characteristics
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Critical Distances
#ight Distance! The length o4 highway visibleahea to the river o4 a vehicle&
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#ight Distances
• #topping #ightDistance
• Passing #ightDistance
• Comple% Locations
Decision #ightDistance
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#ight Distances
• #topping #ightDistance
• Passing #ightDistance
• Comple% Locations
Decision #ightDistance
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#topping #ight Distance
he minim)m distancere*)ired to stop a vehicle
travelin$ near the desi$nspeed' before it reaches astationary obect in thevehicle,s path
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#topping #ight Distance
• ;rake eactionDistance
• ;raking Distance
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#topping #ight• ;rake eaction Distance
– v-tr B 1&)? v-tr
• ;raking Distance
– v*.0*a2 B 1&-?A v*.0*a2
• #toppings '#a4e, #topping Distance
0##D2
– ##D B v-tr v*.0*a2
– here 'a, is eceleration
• a B 'see ne%t slie,
Equationstranslate mph
into feet
i i h
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#topping #ight• #toppings '#a4e, #topping Distance
0##D2 – ##D B v-tr v*.0*a2
–
• -&) Gost car companies guarantee
• -& -& high per4ormance
•
:ccient econstruction
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:ccient econstruction
– :verage! -& secons – Very goo! -&/ secons
– Qse 4or esign! *&A secons
•
))
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#topping Distance R Flat
Source: AASHT
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#topping Distance R @rae
! mph" d is feet" # e$pressed in percent"
%f a &' up(rade) # would *e &"
Source: AASHT
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#topping Distance R @rae
Source: AASHT
#topping Distance S #topping #ight
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#topping Distance S #topping #ightDistance
-o) not only have to stop' yo) have to stop beca)se yo) noticed somethin$.
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#topping #ight Distance
Driver = 3.5 feet above pavement
Object = 2.0 feet above pavement
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#topping #ight Distance
+ is called the +iddle rdinate
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#topping #ight Distance
Vehicle Types
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#impleClassi8cation
• Cars• ;uses
• Trucks
• ecreationalVehicles
Vehicle Types
Vehicle Types
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DetaileClassi8cation
• Cars – Cars
– Vans
– #QVs
• ;uses – GiniRbus
– CityRbus
– #uburban ;us
– :rticulate ;us
• ecreationalVehicles
etailed 8lassification• Tr%c@s
– "ingle Anit 3"A4
– "emi;Trailer 3B4
Vehicle Types
D i V hi l Di i
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Design Vehicle Dimensions
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Design Vehicle Properties
i i
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Turning Properties 5;R)-
T i P i 5; )-
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Turning Properties 5;R)-
esigning a 8%r(
T i P i 5; )-
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Turning Properties 5;R)-
T i P ti 5; )-
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Turning Properties 5;R)-
T i P ti 5; )-
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Turning Properties 5;R)-