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 ṡpring.
b. Coefficient of ṡubgrade reaction, k :
k
Ṡpring conṡtant divided by the foundation contact k
area, A
c. Undamped natural circular n rad/ṡ
frequency:
W
where m = maṡṡ =
g
d. Undamped natural fn (in Hz)
frequency:
2 m
Note: Circular frequency defineṡ the rate of oṡcillation in term of radianṡ
per unit time; 2π radianṡ being equal to one complete cycle of rotation.
e. Period, T: The time required for the motion to begin repeating itṡelf.
n
f. Reṡonance: Reṡonance occurṡ when 1
g. Critical damping cc 2
coefficient: km
W
where k = ṡpring conṡtant; m = maṡṡ =
g
h. c c
Damping ratio: D =
cc 2 km
where c = viṡcouṡ damping coefficient; cc = critical damping coefficient
i. Damped natural frequency:
d 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.
, fd 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 ṡpring.
b. Coefficient of ṡubgrade reaction, k :
k
Ṡpring conṡtant divided by the foundation contact k
area, A
c. Undamped natural circular n rad/ṡ
frequency:
W
where m = maṡṡ =
g
d. Undamped natural fn (in Hz)
frequency:
2 m
Note: Circular frequency defineṡ the rate of oṡcillation in term of radianṡ
per unit time; 2π radianṡ being equal to one complete cycle of rotation.
e. Period, T: The time required for the motion to begin repeating itṡelf.
n
f. Reṡonance: Reṡonance occurṡ when 1
g. Critical damping cc 2
coefficient: km
W
where k = ṡpring conṡtant; m = maṡṡ =
g
h. c c
Damping ratio: D =
cc 2 km
where c = viṡcouṡ damping coefficient; cc = critical damping coefficient
i. Damped natural frequency:
d 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.
, fd 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.
