Civil Engineering Reference
In-Depth Information
W
r
m
F
P
R
H
(
t
)
y
(
t
)
x
α
r
R
V
(
t
)
x
=
Vt
a
r
L
y
-
R
V
(
t
) = vertical force on beam
from wheel rolling motion
FIGURE 4.10a
Vertical effects of concentrated rolling mass on a simply supported span.
r
m
F
T
F
(
t
)
R
T
(
t
)
x
(
t
)
H
LF
(
t
)
x
x
=
Vt
L
-
H
LF
(
t
) = horizontal force on
beam from wheel rolling motion
y
FIGURE 4.10b
Horizontal effects of concentrated rolling mass on a simply supported span.
Q
(
t
)
I
p
r
M
T
(
t
)
H
LF
(
t
)
R
H
(
t
)
R
V
(
t
)
x
x
=
Vt
a
r
L
y
FIGURE 4.10c
Rotational effects of concentrated rolling mass on a simply supported span.