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