7/27/2019 Answers End of Chapter

1/71

Partial Answers to the

Chapter End Problems

M. Asghar Bhatti

Fundamental Finite Element

Analysis and Applications

with Computations Using Mathematicaand Matlab

John Wiley & Sons, Inc. 2005

7/27/2019 Answers End of Chapter

2/71

7/27/2019 Answers End of Chapter

3/71

1.3i

k

jjjjjjjjj

1.53743 -0.18 0.104965

-0.18 0.666 -0.486

0.104965 -0.486 1.84343

y

{

zzzzzzzzz

i

k

jjjjjjjjj

T1

T2

T3

y

{

zzzzzzzzz=

i

k

jjjjjjjjj

46.7966

0

46.7966

y

{

zzzzzzzzz

1.4

i

k

jjjjjjjjj

0.04 -0.04 0

-0.04 0.53 0.23

0 0.23 0.49

y

{

zzzzzzzzz

i

k

jjjjjjjjj

T1

T3

T4

y

{

zzzzzzzzz=

i

k

jjjjjjjjj

0

50.4

50.4

y

{

zzzzzzzzz

1.5

i

k

jjjjjjjjj

0.04 0.02 -0.06

0.02 0.02 -0.04

-0.06 -0.04 0.1

y

{

zzzzzzzzzi

k

jjjjjjjjj

T1

T4

T2

y

{

zzzzzzzzz=

i

k

jjjjjjjjj

0

0

0

y

{

zzzzzzzzz

1.6

i

k

jjjjjjjjj

200.625 -0.4 99.775

-0.4 0.4 0

99.775 0 200.225

y

{

zzzzzzzzz

84500, 2000, 6500

1.22

: 61134837

, -1224

4837

, -1991

4837

,4518

4837

,14863

4837

,62757

9674

, -6693

9674

, -3761

691

,8139

9674

, -923

1382

>

: 127094837

,13044837

,304164837

,77064837

, -78364837

, -304399674

,382399674

,3090691

, -26019674

,50391382

>

:- 70374837

,776

4837

, -24054837

,150614837

,18954837

, -386499674

,370599674

,194691

, -81959674

,24731382

>

1.23

8-2.01064, -3.01064, 3.01064, 4.70213, -1.7234

1.25

:- 2940

, -9

20

, -7

40

, -3

40

, -1

20

, -1

40

>

1.26

81.2638, -0.253049, -0.411619, 0.93405, 3.07277, 6.48718, -0.691854, -5.44284, 0.841327, -0.667873

1.30

81.2638, -0.253049, -0.411619, 0.93405, 3.07277, 6.48718, -0.691854, -5.44284, 0.841327, -0.667873