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Fall
2008
A. G. Hobeika
CEE3604Homework #1
Solution
Question 1
Use the vehicle forces shown in Figure 2.3 of the textbook, and by summing the moments
about point B, provide the proof for Equation 2.15
max
(
) /
..............
(2.15)
1
/
r
rl
W l
f h L
F
h L
μ
+
=
+
Solution:
The normal load on the front axle is given by summing the moments about point B
cos
sin
In this equation, cos
1 for the small grades encountered in highway applications
a
r
g
g
f
g
a
f
R h Wl
mah Wh
W
L
R h m
W
θ

+


=
=


=
max
max
max
max
max
max
sin
(
)
[
(
)
]
(1
)
(1
)
(
) /
(1
)
g
r
a
rl
g
r
f
rl
r
f
rl
r
rl
r
rl
r
rl
rl
rl
r
rl
ah Wh
Wl
L
L
F
ma R
R
R
Wl
h
W
F
R
L
L
Wl
h
F
W
F
R
L
L
l
h
h
F
W
F
R
L
L
L
l
h
h
F
W
R
L
L
L
l
h
W
R
L
L
F
h
L
R
f W
W l
f h L
F
h
L

+
=
+
+
+
∴
= 

+
=
=


+
=

+
+
=
+
+
=
+
=
+
∴
=
+
Q
Q
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A new sports car has a drag coefficient of 0.29 and a frontal area of 20 ft
2
, and is
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This note was uploaded on 10/15/2008 for the course CEE 3604 taught by Professor Katz during the Fall '08 term at Virginia Tech.
 Fall '08
 KATZ

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