Page 548 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

Answers to Selected Problems 535

9-38 - 2 cos p - s in y = sin pN
CHAPTER 10

/ 0.577 \
\ 1.000 /
- 0.526 \
.000 /

10-3

10-5 = 1.611

10-8 io, - 2.368 = mass density

’
10-11 Ll = 0.1333
AE AE
0-5 0.5 1

rvr —1 0
F,. = 0] Li
F,y = 0 EA ^3
10-12 0.5 1 0-5 \ 0 0
F4. = P 1 L2 W4
F,y = 0^ -1 0 1 0 V^4
0 0 0 - 1
Pl^ . Ml
\92 El ^2 - 16E7
El
10-15 = 22.74W —^ , OJ2 = 81.67 EL
ml^ ’
V m l ml^
10-17 ^ 1 = 0 , o>2 = 17.54 E l = 70.1
ml^
e T
exact values Wj = 0, 0)2 = 15.4 w, = 50.0
ml^
-P El (2.5/? + 6) 0.5(/? - 12) 8.484/
0.5(/? - 12) (0.5/? + 30) 15.52/
8.484/ 15.52/ 40.0/2

12 -6 / 0 0
-6 / 8/2 6/ 2/2
10-21 (e) EL
0 6/ )
0 2/2 6/ 4/2