ALL 12 CHAPTERS COVERED
SOLUTIONS MANUAL
, CONTENTS
Chapter Page
2 ............................................................................................................ 1
4 9
5 25
6 41
8 .......................................................................................................... 51
9 .......................................................................................................... 61
10 ......................................................................................................... 65
11 ......................................................................................................... 79
12 ......................................................................................................... 91
@
@sseeisism
micicisisoolalatitoionn
, Chapter 2
2.1 a. Spring constant, k : The change in the force per unit length change of the spring.
b. Coefficient of subgrade reaction, k :
k
Spring constant divided by the foundation k
contact area, A
c. Undamped natural circular n rad/s
frequency:
W
where m = mass =
g
d. Undamped natural fn (in Hz)
frequency:
2 m
Note: Circular frequency defines the rate of oscillation in term of
radians per unit time; 2π radians being equal to one complete cycle of
rotation.
e. Period, T: The time required for the motion to begin repeating itself.
n
f. Resonance: Resonance occurs when 1
g. Critical ḋamping cc 2
coefficient: km
W
where k = spring constant; m = mass =
g
h. c c
Ḋamping ratio: Ḋ =
cc 2 km
where c = viscous ḋamping coefficient; cc = critical ḋamping coefficient
i. Ḋampeḋ natural frequency:
ḋ n 1 − D2
@ 1
@sseeisismm icicisisoolalatitoionn
© 2017 Cengage Learning®. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
, fḋ 1 − D2 fn
@ 2
@sseeisismm icicisisoolalatitoionn
© 2017 Cengage Learning®. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
SOLUTIONS MANUAL
, CONTENTS
Chapter Page
2 ............................................................................................................ 1
4 9
5 25
6 41
8 .......................................................................................................... 51
9 .......................................................................................................... 61
10 ......................................................................................................... 65
11 ......................................................................................................... 79
12 ......................................................................................................... 91
@
@sseeisism
micicisisoolalatitoionn
, Chapter 2
2.1 a. Spring constant, k : The change in the force per unit length change of the spring.
b. Coefficient of subgrade reaction, k :
k
Spring constant divided by the foundation k
contact area, A
c. Undamped natural circular n rad/s
frequency:
W
where m = mass =
g
d. Undamped natural fn (in Hz)
frequency:
2 m
Note: Circular frequency defines the rate of oscillation in term of
radians per unit time; 2π radians being equal to one complete cycle of
rotation.
e. Period, T: The time required for the motion to begin repeating itself.
n
f. Resonance: Resonance occurs when 1
g. Critical ḋamping cc 2
coefficient: km
W
where k = spring constant; m = mass =
g
h. c c
Ḋamping ratio: Ḋ =
cc 2 km
where c = viscous ḋamping coefficient; cc = critical ḋamping coefficient
i. Ḋampeḋ natural frequency:
ḋ n 1 − D2
@ 1
@sseeisismm icicisisoolalatitoionn
© 2017 Cengage Learning®. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
, fḋ 1 − D2 fn
@ 2
@sseeisismm icicisisoolalatitoionn
© 2017 Cengage Learning®. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
