+ All Categories
Home > Documents > Chapt 8 Lecture engineering mechanics

Chapt 8 Lecture engineering mechanics

Date post: 08-Apr-2018
Category:
Upload: nurul-nadia-mior-rahim
View: 220 times
Download: 0 times
Share this document with a friend
88
'%#$##$ $ $0;039/943 07/3,3/!007 #:8804389437 0.9:704908 ,907 %0,8%0.&3;0789 !%# %0.7,425,3083.79870807;0/ 309.841 !,7 9.08 09438 3/ ,41 4943307 ,3/ 42039:2094/8 0.9:7034908 $
Transcript
Page 1: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 1/88

' % # $ # #$

$

$0;039 / 9 43

07/ 3,3/ ! 007 #:880 4 38943 7

0.9:70 4908, 9 07

%0 ,8 %0. &3 ;078 9

!% #

% 0 . 7, 425,3 08 3. 7 98

309 .8 41!,7 9 . 080 943 8 3/ , 4149 43 30 7 , 3/

42039:2 09 4/8

0.9:70 34908

$

Page 2: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 2/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

4390398

3974/:.9 43 0 943 8 $0.43/ , 41 49 43

6:,9 438 41 49 433,2 . 6: -7 :2

$,25 0 !74- 02$,25 0 !74- 02 0 943 8 , 41 7,; 9,9 43$,25 0 !74- 02%7, 0.947 41 , !,79 . 0 &3/07 , 0397,

47.0$,25 0 !74- 02

Page 3: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 3/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

43903983974/:.9 4347 41 , 47.0

!7 3. 5 0 41 47 30755 .,9 438 41 9 0 !7 3. 5 0 41 47

307!4 07 ,3/ 11 . 03.$,25 0 !74- 02$,25 0 !74- 02$,25 0 !74- 02$,25 0 !74- 02$,25 0 !74- 02!49039 , 307

43807;,9 ;0 47.0843807;,9 43 41 30749 43 &3/07 , 43807;,9 ;0 0397,

47.0

$,25 0 !74- 02$,25 0 !74- 02$,25 0 !74- 02!7 3. 5 0 41 25: 80 ,3/ 42039:2

25: 8 ;0 49 43$,25 0 !74- 02$,25 0 !74- 02$,25 0 !74- 02

25,.970.9 0397, 25,.9

- 6:0 0397, 25,.9!74- 028 3;4 ; 3 307 ,3/ 42039:2$,25 0 !74- 02$,25 0 !74- 02$,25 0 !74- 028

$,25 0 !74- 02

Page 4: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 4/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

397 4/:.9 43W

0 943 8 1 789 ,3/ 9 7/ , 8 ,70 8:11 . 039 147 9 0 89:/ 41 -4/ 08 ,97089 89,9 .8 47 -4/ 08 3 249 43 9 34 ,..0 07,9 43

W 03 , -4/ ,..0 07,908 . ,3 08 3 ;0 4. 9 2, 3 9:/0 47 / 70.9 43 0 943 8 80.43/ , 8 706: 70/ 94 70 ,90 9 0 249 43 41 9 0 -4/ 94 9147.08 ,.9 3 43 9

W 0 943 8 80.43/ ,

5,79 . 0 ,;0 ,3 ,..0 07,9 43 5745479 43, 94 9 0 2, 3 9:/0 419 0 708: 9,39 147.0 ,.9 3 43 9 ,3/ 3 9 0 / 70.9 43 41 9 0 708: 9,39147.0

% 0 708: 9,39 41 9 0 147.08 ,.9 3 43 , 5,79 . 0 8 06:, 94 9 0 7,9. ,3 0 41 30,7 242039:2 41 9 0 5,79 . 0

% 0 8:2 41 9 0 2420398 ,-4:9 41 9 0 147.08 ,.9 3 43 , 5,79 . 0 806:, 94 9 0 7,90 41 . ,3 0 41 ,3 : ,7 242039:2 41 9 0 5,79 . 0,-4:9

Page 5: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 5/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

0 943 8 $0.43/ , 41 49 43W 0 943 8 $0.43/ , 1 9 0708: 9,39 147.0,.9 3 43 ,

5,79 . 0 8 349 074 9 0 5,79 . 0 ,;0 ,3 ,..0 07,9 5745479 43, 94 9 0 2, 3 9:/0 41 708: 9,39 ,3/ 3 9 0/ 70.9 43 41 9 0 708: 9,39

W 438 /07 , 5,79 . 0 8:- 0.90/ 94 .4389,39 147.08

2,

,

,

2,88.4389,39

W 03 , 5,79 . 0 41 2,882 8 ,.90/ :543 - , 147.09 0 ,..0 07,9 43 41 9 0 5,79 . 0 2:89 8,9 81

6

,2 66

W ..0 07,9 43 2:89 -0 0;, :,90/ 9 70850.9 94 , 0 943 ,3 17,20 41 7010703.0 0 430 9 ,9 8 349,..0 07,9 3 47 749,9 3

W 1 147.0 ,.9 3 43 5,79 . 0 8 074 5,79 . 0 349,..0 07,90 0 9 702, 3 89,9 43,7 47 .439 3:0

897, 9 30 ,9 .4389,39 ;0 4. 9

Page 6: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 6/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

30,7 42039:2 41 , !,7 9 . 0

W # 05 ,. 3 9 0 ,..0 07,9 43 - 9 0 /07 ;,9 ;0 41 9 0;0 4. 9 0 /8

5,79 . 09 041 242039:230,7

/9

/ ;2

/9

/ /9 ;/

2

6

66

66

W 30,7 42039:2 43807;,9 43 !7 3. 5 01 9 0 708: 9,39 147.0 43 , 5,79 . 0 8 074 9 0

242039:2 41 9 0 5,79 . 0 702, 38 .4389,39 3 -492, 3 9:/0 ,3/ / 70.9 43

Page 7: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 7/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

6 : , 9 438 41 49 43W 0 943 8 80.43/ , 574; /08

,2 6

6

W $4 :9 43 147 5,79 . 0 249 43 8 1,. 9,90/ - 7084;0.947 06:,9 43 394 8., ,7 .42543039 06:,9 438 0147 70.9,3 : ,7 .425430398

2 2 2

2, 2, 2, , ,,2

666666

W 47 9,3 039 , ,3/ 3472, .425430398

8;

2 /9 /;

2

2, 2,

39

339 9

Page 8: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 8/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

3 , 2 . 6 : -7 :2W 9073,90 0 57088 43 41 0 943 8 80.43/ ,

0.947 3079 , ;,2

,2 6

66

W 9 9 0 3. :8 43 41 9 0 3079 , ;0.947 9 041 147.08 ,.9 3 43 9 0 5,79 . 0 8 06: ;, 039 94

074 % 0 5,79 . 0 8 3/ 3,2 . 06: -7 :2

W 09 4/8 /0;0 450/ 147 5,79 . 08 3 89,9 .06: -7 :2 2, -0 ,55 0/ 0 .45 ,3,7 147.082, -0 7057080390/ 9 , . 480/ ;0.947 54 43

W 3079 , ;0.9478 ,70 41903 ., 0/3079 , 147.08,8

9 0 20,8:70 9 0 708 89,3.0 9 ,9 5,79 . 08 41107 9. ,3 08 3 249 43 0 . ,3 08 3 8500/ 47/ 70.9 43

W 3079 , 147.08 2, -0 .43.059:, :801: -:9 ,70349 0 9 0 .439,.9 ,3/ 7,; 9,9 43, 147.08 14:3/

3 89,9 .8

Page 9: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 9/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

$ , 25 0 !7 4- 02

- - 4. 70898 43 , 47 439, 5 ,30 3/ 9 0 2, 3 9:/0 41 9 0 147.0 ! 706: 70/ 94 ;0 9 0 - 4. ,3 ,..0 07,

9 43 47 19 894 9 0 7 9 % 0 .4011 . 039 41 309 . 17 .9 43 -09 003 9 0 - 4. ,3/ 5 ,30 83

$ &%W # 084 ;0 9 0 06:,9 43 41 249 43 147 9 0

- 4. 394 9 4 70.9,3 : ,7 .4254303906:,9 438

W &3 34 38 .438 89 41 9 0 ,55 0/ 147.0 ! ,3/ 9 0 3472, 70,.9 43 1742 9 0 5 ,30 % 0 9 4 06:,9 438 2, -084 ;0/ 147 9 080 :3 34 38

Page 10: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 10/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

$ , 25 0 !7 4- 02

2

198-

819

-

c

3

$ &%W # 084 ;0 9 0 06:,9 43 41 249 43 147 9 0 - 4.

394 9 4 70.9,3 : ,7 .42543039 06:,9 4382,

-

819198-.48 cH !

-8 3 H!

W &3 34 38 .438 89 41 9 0 ,55 0/ 147.0 ! ,3/

9 0 3472, 70,.9 43

1742 9 0 5 ,30 % 0 9 406:,9 438 2, -0 84 ;0/ 147 9 080 :3 34 38

--8 3.48

-8 3HH

H

! !

!

- !

Page 11: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 11/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

07 . 80

% 0 9 4 - 4. 8 8 4 3 89,79 1742 7089

% 0 47 439, 5 ,30 ,3/ 9 0 5: 0 ,7017 .9 43 088 ,3/ 9 0 5: 0 8 ,88:20/94 -0 41 30 - 0 2,88 09072 309 0 ,..0 07,9 43 41 0,. - 4. ,3/ 9 09038 43 3 9 0 .47/

Page 12: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 12/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

07 . 80

% 0 - - 4. 89,798 1742 7089 ,3/8 /08 43 9 0 - 0/ 0 . 8

8:554790/ - , 47 439, 8:71,.0 0 0.9 3 17 .9 43 /09072 30 , 9 0,..0 07,9 43 41 9 0 0/ 0 ,3/ - 9 0,..0 07,9 43 41 9 0 - 4. 70 ,9 ;0 94 9 0

0/ 0

Page 13: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 13/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

$ , 25 0 !7 4- 02

% 0 -4- 41 , 2 503/: :2 /08.7 -08,3 ,7. 41 , . 7. 0 3 , ;079 ., 5 ,30 19 0 9038 43 3 9 0 .47/ 8 9 208 9 0

0 9 41 9 0 -4- 147 9 0 548 9 438 4 3 1 3/ 9 0 ;0 4. 9 ,3/ ,..007,9 43 41 9 0 -4- 3 9 ,9 548 9 43

$ &%

W # 084 ;0 9 0 06:,9 43 41 249 43 147 9 0 -4- 394 9,3 039 , ,3/ 3472,.425430398

W $4 ;0 9 0 .42543039 06:,9 438 147 9 0

3472, ,3/ 9,3 039 , ,..0 07,9 438W $4 ;0 147 9 0 ;0 4. 9 3 90728 41 9 0

3472, ,..0 07,9 43

Page 14: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 14/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

$ , 25 0 !7 4- 02$ &%W # 084 ;0 9 0 06:,9 43 41 249 43 147 9 0 -4- 394

9,3 039 , ,3/ 3472, .425430398W $4 ;0 9 0 .42543039 06:,9 438 147 9 0 3472, ,3/

9,3 039 , ,..0 07,9 438

9 9 2, H

H

8 3

8 3

,

2,2

9

9

829 ,

33 2, H

H

.48

.48

,

2,2 2

3

3

823,

W $4 ;0 147 ;0 4. 9 3 90728 41 3472, ,..0 07,9 43

82233 ,;;

, 8 8

82I;

Page 15: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 15/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

07 . 80

09072 30 9 0 7,90/ 8500/ 41 ,, .:7;0 41 7,/ :8 8 19

-,3 0/ 9 74: ,3 ,3 07 4 % 07,90/ 8500/ 41 , -,3 0/ , .:7;0

8 9 0 8500/ ,9 . , .,7 8 4: /97,;0 1 34 ,907, 17 .9 43 147.0 8 94 -0 0 0790/ ,9 98 00 8

Page 16: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 16/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

0 943 8 , 41 7,; 9, 9 43

W7,; 9,9 43, 147.0 0 0790/ - 9 0 8:3 43 , 5 ,309 47 -9 0 0,79 43 , 8,90 90 8 ,3 25479,39 0 ,25 0 417,; 9,9 43, 147.0

W 0 943 8 , 41 :3 ;078, 7,; 9,9 43 9 4 5,79 . 08 412,88 ,3/ 2 ,997,.9 0,. 49 07 9 06:, ,3/ 45548 90

147.0 / 70.90/ , 43 9 0 30 .4330.9 3 9 0 5,79 . 08

8-

19

8

2

37,; 9,9 441 .4389,39

cLcL

7

2

W 47 5,79 . 0 41 2,882 43 9 0 0,79 8 8:71,.0

8

19

8

2 2

#

2

Page 17: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 17/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

$ , 25 0 !7 4- 02

8,90 90 8 ,:3. 0/ 3 , / 70.9 43 5,7, 0 94 9 0 8:71,.0 41 9 0 0,79

9 , ;0 4. 9 41 2 1742,3 , 9 9:/0 41 2 09072 30 9 0

;0 4. 9 41 9 0 8,90 90 ,8 9 70,. 08 92, 2:2 , 9 9:/0 41 2 % 07,/ :8 41 9 0 0,79 8 2

$ &%W $ 3.0 9 0 8,90 90 8 24; 3 :3/07 ,

.0397, 147.0 98 ,3 : ,7 242039:2 8

.4389,39 6:,90 9 0 ,3 : ,7 242039:2,9 ,3/ ,3/ 84 ;0 147 9 0 ;0 4. 9 ,9

Page 18: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 18/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

$ , 25 0 !7 4- 02

$ &%W $ 3.0 9 0 8,90 90 8 24; 3 :3/07 ,

.0397, 147.0 98 ,3 : ,7 242039:2 8

.4389,39 6:,90 9 0 ,3 : ,7 242039:2,9 ,3/ ,3/ 84 ;0 147 9 0 ;0 4. 9 ,9

222

.4389,398 3

7 7

;;

;27 ;27 ;72

2 ;

Page 19: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 19/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

%7, 0.94 7 41, !,7 9 . 0 &3/07 , 0397, 47 .0W 47 5,79 . 0 24; 3 :3/07 .0397, 147.0 / 70.90/ 94 ,7/8 147.0 .03907

7777 7 7 2 7 7 2 7

W $0.43/ 0 57088 43 8 06: ;, 039 94 1742 ..4389,397 7

7 /

/

7 7

7 ,3/

77

W 1907 8:-89 9:9 3 394 9 0 7,/ , 06:,9 43 41 249 43 ,3/ 8 25 1 3

7 :

:2

:

/

:/ 070

7W 1 8 , 34 3 1:3.9 43 417 47 : 9 03 5,79 . 0 97, 0.947 2, -0

14:3/ - 390 7,9 3 147: 1 7 9 .4389,398 41 390 7,9 43/09072 30/ 1742 3 9 , .43/ 9 438

Page 20: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 20/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

$ , 25 0 !7 4- 02

09072 30, 9 0 2, 2:2 , 9 9:/0 70,. 0/ -

9 0 8,90 90 ,3/ - 9 0 507 4/ . 9 20 41 9 0 8,90 90

8,90 90 8 ,:3. 0/ 3 , / 70.9 43 5,7, 0 94 9 0 8:71,.0 41 9 0 0,79

9 , ;0 4. 9 41 2 ,9 ,3, 9 9:/0 41 2

$ &%

W %7, 0.947 41 9 0 8,90 90 8 /08.7 -0

7.48

7

;, :,90 :8 3 9 0 3 9 , .43/ 9 438

,9 7W 09072 30 9 0 2, 2:2 , 9 9:/0 -

1 3/ 3 7 ,9 7 4

W 9 9 0 , 9 9:/08 ,9 9 0 507 00 ,3/,54 00 34 3 9 0 507 4/ . 9 20 .,3 -0 0;, :,90/

Page 21: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 21/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

$ , 25 0 !7 4- 02$ &%

W %7, 0.947 41 9 0 8,90 90 8 /08.7 -0/ -

7.48

7

;, :,90 :8 3 9 0 3 9 , .43/ 9 438,9 7

82

282

82

822

82

82 22

22

LL

LLL

L

L

L

#

;7

;

7

2

82

82

2

L

LL

7

Page 22: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 22/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

$ , 25 0 !7 4- 02W 09072 30 9 0 2, 2:2 , 9 9:/0 - 1 3/ 37

,9 7 4

22

282

82

L

LL

7

7

22, 9 9:/02,

W 9 9 0 , 9 9:/08 ,9 9 0 507 00 ,3/ ,54 00 34 39 0 507 4/ . 9 20 .,3 -0 0;, :,90/

82

22

22

22

LLL

LLL

LL

66: ,-

7 7 -

7 7 ,

2 38L:

Page 23: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 23/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

397 4/:.9 43

W!70; 4:8 574- 028 /0, 3 9 9 0 249 43 41 5,79 . 08 07084 ;0/ 9 74: 9 0 1:3/,2039, 06:,9 43 41 249 43

:77039 . ,5907 3974/:.08 9 4 ,// 9 43, 209 4/8 41 ,3, 8 8,2 66

W 09 4/ 41 47 ,3/ 0307 / 70.9 70 ,908 147.0 2,88;0 4. 9 ,3/ / 85 ,.02039

W 09 4/ 41 25: 80 ,3/ 242039:2 / 70.9 70 ,908 147.02,88 ;0 4. 9 ,3/ 9 20

Page 24: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 24/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

47 41, 47 .0

W1107039 , ;0.947 8 9 0 5,79 . 0 / 85 ,.02039 7 /

6

W 47 41 9 0 147.08

/ / /

/8

7 / /&

O

-.48

66

W 47 8 , 8., ,7 6:,39 9 0 9 ,8 2, 3 9:/0 ,3/8 3 -:9 349 / 70.9 43

147.003 9 LW 2038 438 41 47 ,70 &3 98 ,70 -192 c 4: 0

Page 25: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 25/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

47 41, 47 .0

W 47 41 , 147.0 /:7 3 , 1 3 90 / 85 ,.02039

OF

.48

8

89

8

8

/ / /

/8 /8

7 / &

-

66

W 47 8 7057080390/ - 9 0 ,70, :3/07 9 0.:7;0 41 9 5 4990/ , , 389 8

Page 26: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 26/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

47 41, 47 .0

W47 41 , .4389,39 147.0 3 70.9 30,7 249 43 & F -.48

W 47 41 9 0 147.0 41 7,; 9

/ &

/

/ / / /&

F

W 47 41 9 0 0 9 8 06:, 94 574/:.9 410 9 ,3/ ;079 ., / 85 ,.02039

W 47 41 9 0 0 9 8 548 9 ;0 03 0 03 9 0 0 9 24;08 /4 3

Page 27: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 27/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

47 41, 47 .0W , 3 9:/0 41 9 0 147.0 0 0790/ - , 857 3 8

5745479 43, 94 /01 0.9 43

- 347 2.4389,39857 3

W 47 41 9 0 147.0 0 0790/ - 857 3

/&

// /&

F

W 47 41 9 0 147.0 0 0790/ - 857 3 8 548 9 ;003 0 03 9 0 857 3 8 709:73

98 :3/014720/ 548 9 43

W 47 41 9 0 147.0 0 0790/ - 9 0 857 3 8 06:30 ,9 ;0 41 ,70, :3/07 .:7;0 41 5 4990/ , , 389

& F

Page 28: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 28/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

47 41, 47 .0

47 41 , 7,; 9,9 43, 147.0 ,88:20 5,79 . 0 4..:5 08 1 0/ 548 9 43 0 5,79 . 02 14 4 8 5,98 4 3

7 2

7 2

/7 7

2&

/7 7

2 /7 /&

7

7 F

Page 29: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 29/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

47 41, 47 .0

47.08 . /4 349 /4 47 /8 47 .48-

W 0 9 41 , -4/ 03 98 .03907 41 7,; 9 24;0847 439,

W 70,.9 43 ,9 , 74 07 24; 3 , 43 98 97,. ,3/

W 70,.9 43 ,9 17 .9 43 088 8:71,.0 03 -4/ 3 .439,.9

24;08 , 43 8:71,.0

W 70,.9 43 ,9 17 .9 43 088 5 3 8:55479 3 749,9 3 -4/

Page 30: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 30/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

!,7 9 . 0 309 .30 7 !7 3. 5 0 41 47 30 7

/;2;/8 /8/;

2;/9 /8

/8/;

2

/9 /;22,

9

9 9

W 438 /07 , 5,79 . 0 41 2,882 ,.90/ :543 - 147.0 6

W 390 7,9 3 1742 94

0307309 .2;% % % &

2;2;/;;2/8 ;

;

8

89

F

W % 0 47 41 9 0 147.0 8 06:, 94 9 0 . ,3309 . 0307 41 9 0 5,79 . 0

6

W &3 98 41 47 ,3/ 309 . 0307 ,70 9 0 8,20

2 2

8

2

8

2 c

2;%

Page 31: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 31/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

55 ., 9 438 41 9 0!7 3. 5 0 41 47 , 3/ 30 7W 8 94 /09072 30 ;0 4. 9 41 503/: :2 -4-

,9 438 /07 47 309 . 0307

W 47.0 ,.98 3472, 94 5,9 ,3/ /408 3447

! 6

;

;

% & % F

W ' 0 4. 9 14:3/ 9 4:9 /09072 3 30 57088 43 147 ,..0 07,9 43 ,3/ 390 7,9 3

W 6:,39 9 08 ,70 8., ,78 ,3/ .,3 -0 ,//0// 70.9

W 47.08 . /4 34 47 ,70 0 2 3,90/ 17429 0 574- 02

Page 32: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 32/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

55 ., 9 438 41 9 0!7 3. 5 0 41 47 , 3/ 30 7W !7 3. 5 0 41 47 ,3/ 0307 .,3349 -0

,55 0/ 94 / 70.9 /09072 30 9 0 ,..0 07,9 4341 9 0 503/: :2 -4-

W , .: ,9 3 9 0 9038 43 3 9 0 .47/ 706: 7088:55 02039 3 9 0 209 4/ 41 47 ,3/ 0307

9 ,3 ,55 .,9 43 41 0 943 8 80.43/ ,W 8 9 0 -4- 5,8808 9 74:

!

;

!

,2 33

;

$

Page 33: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 33/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

! 4 0 7 , 3/ 11 . 03.W 7,90 ,9 . 47 8 /430

; /9

7 / /9

/&

!4 07

66

66

O

O

W 2038 438 41 54 07 ,70 47 9 20 47 147.0 ;0 4. 9&3 98 147 54 07 ,70

8-19

547 82

8

,99cc

W

35:9 54 074:95:9 54 07

35:9 47 4:95:9 47

011 . 03.

$

Page 34: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 34/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

$ , 25 0 !7 4- 02

3 ,:9424- 0 0 3 - 8/7 ;03 /4 3 , 4 3. 30 ,9 , 8500/ 41

2 03 9 0 -7, 08 ,70 ,55 0/

.,:8 3 , .4389,39 949, -70, 3 147.041 -

09072 30 9 0 / 89,3.0 97,;0 0/ - 9 0,:9424- 0 ,8 9 .4208 94 , 8945

$ &%W ;, :,90 9 0 . ,3 0 3 309 . 0307

W 09072 30 9 0 / 89,3.0 706: 70/ 147 9 047 94 06:, 9 0 309 . 0307 . ,3

$

Page 35: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 35/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

$ , 25 0 !7 4- 02$ &%

W ;, :,90 9 0 . ,3 0 3 309 . 0307

-19

81982

192

c

2;%

;

--19cF

% & %

19

W 09072 30 9 0 / 89,3.0 706: 70/ 147 9 0 4706:, 9 0 309 . 0307 . ,3 0

&

-

8 3-- H

F

% ;

$

Page 36: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 36/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

$ , 25 0 !7 4- 02

% 4 - 4. 8 ,70 4 30/ - ,3 30 9038 - 0.,- 0 ,8 8 4 3 1 9 0 8 8902 8 70 0,80/1742 7089 /09072 30 9 0 ;0 4. 9 41 - 4. ,1907 9 ,8 24;0/ 2 88:20 9 ,9 9 0.4011 . 039 41 17 .9 43 -09 003 - 4. ,3/ 9 0 5 ,30 83 ,3/ 9 ,9 9 0 5: 0 8 0 9 088 ,3/ 17 .9 43 088

$ &%

W 55 9 0 57 3. 5 0 41 47 ,3/0307 805,7,90 94 - 4. 8 ,3/

W 03 9 0 9 4 70 ,9 438 ,70 .42- 30/9 0 47 41 9 0 .,- 0 147.08 .,3.0$4 ;0 147 9 0 ;0 4. 9

$

Page 37: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 37/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

$ , 25 0 !7 4- 02$ &%

W 55 9 0 57 3. 5 0 41 47 ,3/ 0307 805,7,9094 - 4. 8 ,3/

2 2

22

82

;

;2 % & %

F

33

2 2

22

82

;

;2

% & %

.

.

F

$

Page 38: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 38/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

$ , 25 0 !7 4- 02W 03 9 0 9 4 70 ,9 438 ,70 .42- 30/ 9 0 47 41 9

.,- 0 147.08 .,3.0 $4 ;0 147 9 0 ;0 4. 9

2 2 ;

2 2 ; .

2 2

;

;

82;

$

Page 39: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 39/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

$ , 25 0 !7 4- 02

857 3 8 :80/ 94 8945 , 5,. , 0

. 8 8 / 3 43 , 47 439, 8:71,.0% 0 857 3 ,8 , .4389,39 2,3/ 8 0 / - .,- 08 84 9 ,9 9 8 3 9 ,.42570880/ 22 % 0 5,. , 0 ,8 ,;0 4. 9 41 2 8 3 9 0 548 9 43 8 4 3,3/ 9 0 2, 2:2 /01 0.9 43 41 9 0 857 3

8 22

09072 30 , 9 0 .4011 . 039 41 309 .17 .9 43 -09 003 9 0 5,. , 0 ,3/ 8:71,.0,3/ - 9 0 ;0 4. 9 41 9 0 5,. , 0 ,8 9 5,8808 , , 3 9 74: 9 0 548 9 43 8 4 3

$ &%

W 55 9 0 57 3. 5 0 41 47 ,3/ 0307 -09 003 9 0 3 9 , 548 9 43 ,3/ 9 0 54 39 ,9 . 9 0 857 3 8 1:.42570880/ ,3/ 9 0 ;0 4. 9 8 074% 0 43 :3 34 3 3 9 0 70 ,9 43 8

17 .9 43 .4011 . 039W 55 9 0 57 3. 5 0 41 47 ,3/ 0307

147 9 0 70-4:3/ 41 9 0 5,. , 0 % 043 :3 34 3 3 9 0 70 ,9 43 8 9 0;0 4. 9 ,9 9 0 1 3, 548 9 43

$

Page 40: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 40/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

$ , 25 0 !7 4- 02$ &%

W 55 57 3. 5 0 41 47 ,3/ 0307 -09 003 3 9 , 548 9 43 ,3/ 9 0 54 39 ,9 . 857 3 8 1: .42570

82 % 2;%

1 &

33

3

282

F

2

22

22

2,2 3

2,

2 3

F ! ! &

!

!

0

FFF 0 1 & & & 3

F

% & %

3 3

$

Page 41: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 41/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 0; 03 9

/ 9 4

3

$ , 25 0 !7 4- 02W 55 9 0 57 3. 5 0 41 47 ,3/ 0307 147 9 0 70-4:

41 9 0 5,. , 0 ;2;% %

FFF 0 1 & & & 3

;

% & % F

82;

$

Page 42: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 42/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 0; 03 9

/ 9 4

3

$ , 25 0 !7 4- 02

- .,7 89,798 1742 7089 ,9 54 39,3/ 24;08 9 4:9 17 .9 43 /4 3 9 097,. 8 4 3

09072 30

, 9 0 147.0 0 0790/ - 9 0 97,. 439 0 .,7 ,9 54 39 ,3/

- 9 0 2 3 2:2 8,10 ;, :0 41 9 07,/ :8 41 .:7;,9:70 ,9 54 39

$ &%

W 55 57 3. 5 0 41 47 ,3/ 0307 94/09072 30 ;0 4. 9 ,9 54 39

W 55 0 943 8 80.43/ , 94 1 3/3472, 147.0 - 9 0 97,. ,9 54 39

W 55 57 3. 5 0 41 47 ,3/ 0307 94/09072 30 ;0 4. 9 ,9 54 39

W 55 0 943 8 80.43/ , 94 1 3/2 3 2:2 7,/ :8 41 .:7;,9:70 ,9 54 398:. 9 ,9 , 548 9 ;0 3472, 147.0 80 0790/ - 9 0 97,.

' $

Page 43: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 43/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 0; 03 9

/ 9 4

3

$ , 25 0 !7 4- 02$ &%

W 55 57 3. 5 0 41 47 ,3/ 0307 94 /09072 30;0 4. 9 ,9 54 39

819191919

19

19

F

F

; 8 ;

;

% & %

&

;

2;% %

W 55 0 943 8 80.43/ , 94 1 3/ 3472, 147.0 -9 0 97,. ,9 54 39

33 ,2

;

,2 3 1919

8-

' 0 94 0 3 8 14 3 300 8 3 2 8 $

Page 44: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 44/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 0; 03 9

/ 9 4

3

$ , 25 0 !7 4- 02W 55 57 3. 5 0 41 47 ,3/ 0307 94 /09072 30

;0 4. 9 ,9 54 39

8198191919

19F

; ;

;

% & %

W 55 0 943 8 80.43/ , 94 1 3/ 2 3 2:2 7,/ :8 41.:7;,9:70 ,9 54 39 8:. 9 ,9 , 548 9 ;0 3472, 147.00 0790/ - 9 0 97,.

33 ,2 G

19 8 8

;

,2 3

19 8

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0

/

Page 45: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 45/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 0; 03 9

/ 9 4

3

$ , 25 0 !7 4- 02

% 0 /:2- , 907 ,3/ 98 4,/ ,;0 ,.42- 30/ 0 9 41 - 0 9 0.4:3907 0 9 0 8 -

09072 30 9 0 54 07 /0 ;070/ - 9 00 0.97 . 24947 03 9 0 /:2- , 907 , 8 24; 3 :5 ,9 , .4389,39 8500/ 41

19 8 ,3/ - ,8 ,3 389,39,304:8;0 4. 9 41 19 8 ,3/ ,3 ,..0 07,9 43 41

19 8-49 / 70.90/ :5 ,7/8

$ &%47.0 0 0790/ - 9 0 24947

.,- 0 ,8 8,20 / 70.9 43 ,89 0 /:2- , 907 ;0 4. 9!4 07 /0 ;070/ - 24947 806:, 94 ; ; 19 8

W 3 9 0 1 789 .,80 -4/ 08 ,70 3 :3 1249 43 09072 30 147.0 0 0790/ -24947 .,- 0 1742 .43/ 9 438 147 89,9 .06: -7 :2

W 3 9 0 80.43/ .,80 -49 -4/ 08 ,70,..0 07,9 3 55 0 943 880.43/ , 94 0,. -4/ 94/09072 30 9 0 706: 70/ 24947 .,- 0147.0

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0

/

Page 46: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 46/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 0; 03 9

/ 9 4

3

$ , 25 0 !7 4- 02W 3 9 0 1 789 .,80 -4/ 08 ,70 3 :3 1472 249 43

09072 30 147.0 0 0790/ - 24947 .,- 0 1742.43/ 9 438 147 89,9 . 06: -7 :2

8-19

819-

c ; !4 07

58-19

58-19

cc !4 07

700 -4/

-- % %

700 -4/

----

-

%

%

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0

/

Page 47: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 47/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 0; 03 9

/ 9 4

3

$ , 25 0 !7 4- 02W 3 9 0 80.43/ .,80 -49 -4/ 08 ,70 ,..0 07,9 3 55

0 943 8 80.43/ , 94 0,. -4/ 94 /09072 30 9 0 706: 70/24947 .,- 0 147.0

G819819 ,,,

700 -4/

,2 G -% %

700 -4/

,2 -

%

8-19819- c ; !4 07

58-19

58-19

cc !4 07

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0

/

Page 48: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 48/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 0; 03 9

/ 9 4

3

! 49039 , 30 7

& F

W 47 41 9 0 147.0 41 7,; 9 6

W 47 8 3/0503/039 41 5,9 14 4 0/ /0503/843 43 9 0 3 9 , ,3/ 1 3, ;, :08 41

'

549039 , 0307 41 9 0 -4/ 9 70850.994 147.0 41 7,; 9

' ' & F

W &3 98 41 47 ,3/ 549039 , 0307 ,70 9 0 8,22 c'

W 4 .0 41 /,9:2 1742 . 9 0 0 0;,9 43 820,8:70/ 8 ,7- 97,7

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0

/

Page 49: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 49/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 0; 03 9

/ 9 4

3

! 49039 , 30 7W !70; 4:8 0 57088 43 147 549039 , 0307 41 , -4/

9 70850.9 94 7,; 9 8 43 ;, / 03 9 00 9 41 9 0 -4/ .,3 -0 ,88:20/ .4389,39

W 47 , 85,.0 ;0 . 0 9 0 ;,7 ,9 43 41 9 0 147.0 417,; 9 9 / 89,3.0 1742 9 0 .03907 41 9 0 0,79

8 4: / -0 .438 /070/

W 47 41 , 7,; 9,9 43, 147.0

7 2

7 2

& F

W !49039 , 0307 ' 03 9 0 ;,7 ,9 43 3 9 0147.0 41 7,; 9 .,3 349 -0 30 0.90/

7 #

7 2

'

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0

/

Page 50: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 50/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 0; 03 9

/ 9 4

3

! 49039 , 30 7W 47 41 9 0 147.0 0 0790/ - , 857 3 /0503/8

43 43 9 0 3 9 , ,3/ 1 3, /01 0.9 438 41857 3

& F

W% 0 549039 , 0307 41 9 0 -4/ 9 708594 9 0 0 ,89 . 147.0

00

0

' ' &

'

F

W 490 9 ,9 9 0 570.0/ 3 0 57088 43 147' 0 8;, / 43 1 9 0 /01 0.9 43 41 9 0 857 320,8:70/ 1742 98 :3/014720/ 548 9 43

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0

/

Page 51: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 51/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .8 0; 03 9

/ 9 4

3

4380 7;, 9; 0 47 .08W 43.059 41 549039 , 0307 .,3 -0 ,55 0/ 1 9 0

47 41 9 0 147.0 8 3/0503/039 41 9 0 5,914 4 0/ - 98 54 39 41 ,55 .,9 43

' ' & F$:. 147.08 ,70 /08.7 -0/ ,8 .43807;,9 ;0 147.08

W 47 ,3 .43807;,9 ;0 147.0 ,55 0/ 43 , . 480/ 5,9

O 7 / 66

W 02039,7 47 .47708543/ 3 94 / 85 ,.02039 -09 003 9 4 30 -47 3 54 398

/'

/ / / ' ' /&

' '

'

'

/ '

/ '

/ '

/ / /

7,/

NN

NN

NN

NN

NN

NN

6

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0

/

Page 52: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 52/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .8; 03 9

9 43

4380 7;, 9 43 41 30 7W 47 41 , .43807;,9 ;0 147.0

' ' & F

W 43.059 41 47 ,3/ 0307% % & F

W 4 4 8 9 ,9

.4389,39' % ' % ' %

W 03 , 5,79 . 0 24;08 :3/07 9 0 ,.9 43 41.43807;,9 ;0 147.08 9 0 949, 20. ,3 .,0307 8 .4389,39

' %

' %

' %

' 2;% W 7 .9 43 147.08 ,70 349 .43807;,9 ;0 %49,

20. ,3 ., 0307 41 , 8 8902 3;4 ; 317 .9 43 /0.70,808

W 0. ,3 ., 0307 8 / 88 5,90/ - 17 .9 43394 9 072, 0307 %49, 0307 8 .438

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0

/

Page 53: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 53/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .8; 03 9

9 43

49 43 &3/0 7 , 4380 7;, 9; 0 0397, 47 .0W 03 , 5,79 . 0 24;08 :3/07 , .43807;,9 ;0 .0397,

147.0 -49 9 0 57 3. 5 0 41 .43807;,9 43 41 ,3 : ,7242039:2

,3/ 9 0 57 3. 5 0 41 .43807;,9 43 41 0307

2, -0 ,55 0/

8 38 3 72;2;7

7 2

2;7 2

2;' % ' %

W ;03 7 9 0 06:,9 438 2, -0 84 ;0/ 147; ,3/

W 9 2 3 2:2 ,3/ 2, 2:2 7 4 ;03 9 0,:3. .43/ 9 438 9 0 06:,9 438 2, -0 84 ;0/ 147

7 2 3 7 2, ;2 3 ,3/ ; 2,

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0

/

Page 54: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 54/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .8; 03 9

9 43

$ , 25 0 !7 4- 02

- .4 ,7 8 /08 9 4:9 17 .9 43, 43 , ;079 ., 74/ ,8 8 4 3 % 0857 3 ,99,. 0/ 94 9 0 .4 ,7 ,8 ,3

:3/01 0.90/ 03 9 41 3 ,3/ ,.4389,39 41 - 3

1 9 0 .4 ,7 8 70 0,80/ 1742 7089 ,9 548 9 43 /09072 30 98 ;0 4. 9 ,1907

9 ,8 24;0/ 3 94 548 9 43

$ &%

W 55 9 0 57 3. 5 0 41 .43807;,9 43 410307 -09 003 548 9 438 ,3/

W % 0 0 ,89 . ,3/ 7,; 9,9 43, 549039 ,0307 08 ,9 ,3/ ,70 0;, :,90/ 1742

9 0 ;03 31472,9 43 % 0 3 9 ,0307 8 074

W $4 ;0 147 9 0 309 . 0307 ,3/ ;0 4. 9,9

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0

/

Page 55: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 55/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .8; 03 9

9 43

$ , 25 0 !7 4- 02$ &%

W 55 9 0 57 3. 5 0 41 .43807;,9 43 41 0307 -09 003 548 9 438 ,3/

!48 9 43 -19-3

-3333-

ccc

%

' ' '

'

0

0

!48 9 43

-19-3

-33-

-3333-

;;2;%

' ' '

'

'

0

0

ccc

c

43807;,9 43 41 307

-19-19 cc ;

' % ' %

G819;

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0;

/

Page 56: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 56/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .8; 03 9

9 43

$ , 25 0 !7 4- 02

% 0 - 50 09 8 5:8 0/ , , 389 9 0857 3 ,3/ 70 0,80/ 1742 7089 ,9

0 0.9 3 17 .9 43 /09072 30 9 082, 089 /01 0.9 43 41 9 0 857 3 147. 9 0 50 09 97,;0 ,74:3/ 9 0

445 ,3/ 702, 3 3 .439,.9 9 9 0445 ,9 , 9 208

$ &%

W $ 3.0 9 0 50 09 2:89 702, 3 3 .439,.99 9 0 445 9 0 147.0 0 0790/ 43 9

50 09 2:89 -0 70,907 9 ,3 47 06:, 94074 $099 3 9 0 147.0 0 0790/ - 9445 94 074 84 ;0 147 9 0 2 3 2:2

;0 4. 9 ,9 W 55 9 0 57 3. 5 0 41 .43807;,9 43 41

0307 -09 003 54 398 ,3/ $4 ;0147 9 0 857 3 /01 0.9 43 706: 70/ 94 574/:.0 9 0 706: 70/ ;0 4. 9 ,3/

309 . 0307 ,9

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0;

/

Page 57: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 57/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .8; 03 9

9 43

$ , 25 0 !7 4- 02$ &%

W $099 3 9 0 147.0 0 0790/ - 9 0 445 94 074 84 ;02 3 2:2 ;0 4. 9 ,9

33 2, G

819819197 ;

7 ;22 2,

3

W55 9 0 57 3. 5 0 41 .43807;,9 43 41 0307 -09 003 54 398 ,3/

19-

%

' ' ' 0

-19819819

-

-1919-

c

c

0

2;%

' ' '

' % ' %

319

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0;

/

Page 58: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 58/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .8; 03 9

9 43

$ , 25 0 !7 4- 02

8,90 90 8 ,:3. 0/ 3 , / 70.9 43 5,7, 0 94 9 0 8:71,.0 41 9 0 0,79

9 , ;0 4. 9 41 2 1742,3 , 9 9:/0 41 2

09072 30 , 9 0 2, 2:2 , 9 9:/070,. 0/ - 9 0 8,90 90 ,3/ - 9 02, 2:2 , 4 ,- 0 07747 3 9 0/ 70.9 43 41 ,:3. 3 1 9 0 8,90 90

8 94 .420 34 . 4807 9 ,3 2 949 0 8:71,.0 41 9 0 0,79

$ &%

W 47 249 43 :3/07 , .43807;,9 ;0 .0397,147.0 9 0 57 3. 5 08 41 .43807;,9 43 410307 ,3/ .43807;,9 43 41 ,3 : ,7242039:2 2, -0 ,55 0/ 8 2: 9,304:8

W 55 9 0 57 3. 5 08 94 9 0 54 398 412 3 2:2 ,3/ 2, 2:2 , 9 9:/0 94/09072 30 9 0 2, 2:2 , 9 9:/0

W 55 9 0 57 3. 5 08 94 9 0 47- 9 38079 54 39 ,3/ 9 0 54 39 41 2 3 2:2 , 9 9:/0 94/09072 30 2, 2:2 , 4 ,- 0 47- 9

38079 43 ,3 0 07747

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0;

/ 9

Page 59: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 59/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .8; 03 9

9 43

$ , 25 0 !7 4- 02W 55 9 0 57 3. 5 08 41 .43807;,9 43 41 0307 ,3/

.43807;,9 43 41 ,3 : ,7 242039:2 94 9 0 54 398 41 2 3 2:2,3/ 2, 2:2 , 9 9:/0 94 /09072 30 9 0 2, 2:2 , 9 9:/0

43807;,9 43 41 0307

7 2

2;7

22;' % ' % @@

43807;,9 43 41 ,3 : ,7 242039:2

7 7 ;;2;7 2;7

42- 3 3

;7

7 7

7 7

7

7

7 ;

82282

822

222

LL

L

#

;

7

22L7

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0;

/ 9

Page 60: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 60/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .8; 03 9

9 43

$ , 25 0 !7 4- 02W 55 9 0 57 3. 5 08 94 9 0 47- 9 38079 43 54 39 ,3/ 9

41 2 3 2:2 , 9 9:/0 94 /09072 30 2, 2:2 , 4 ,- 0 47- 938079 43 ,3 0 07747

43807;,9 43 41 0307

2 32, 7

22;

7 2

2;' % ' %

43807;,9 43 41 ,3 : ,7 242039:2

2 32,2,2 3 8 38 3

7 7 ;;2;7 2;7

42- 3 3 ,3/ 84 ; 3 147 8 3

H

IH

8 3H

I07747 , 4 ,- 0

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0;

/ 9

Page 61: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 61/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .8; 03 9

9 43

!7 3. 5 0 4125: 80 , 3/ 42039:2

W 742 0 943 8 80.43/ ,

;2;2/9 /

666

30,7 242039:2

147.09 041 25: 80

;2;2

/9 9

9 66

66

F

F

25

25

W % 0 1 3, 242039:2 41 9 0 5,79 . 0 .,3 -04-9, 30/ - ,// 3 ;0.947 , 98 3 9 ,242039:2 ,3/ 9 0 25: 80 41 9 0 147.0 /:7 39 0 9 20 3907;,

;2;2/9

;2/ /9 9

9

666

66

W 2038 438 41 9 0 25: 80 41, 147.0 ,70

147.0 9 20

W &3 98 147 9 0 25: 80 41 ,147.0 ,70

828828 cccc

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0;

/

9

Page 62: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 62/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .8 03 9

9 43

25: 8 ; 0 49 43W 47.0 ,.9 3 43 , 5,79 . 0 /:7 3 , ;07 8 47

9 20 3907;, 9 ,9 8 ,7 0 034: 94 .,:808 3 1 .,39 . ,3 0 3 242039:2 8 ., 0/ ,3

25: 8 ;0 147.0

W 03 25: 8 ;0 147.08 ,.9 43 , 5,79 . 0

;29 ;2

66

6

W 03 , -,80-, 8 897:. - , -,9 .439,.94..:78 4;07 , 8 479 9 20 3907;, -:9 147.0 8

,7 0 034: 94 . ,3 0 80380 41 -, 249 43

W 43 25: 8 ;0 147.08,70 147.08 147 .8 82, ,3/ 9 0701470 2, -0

30 0.90/9

6

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0;0

/

9

Page 63: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 63/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .8 03 9

9 43

$ , 25 0 !7 4- 02

3 ,:9424- 0 0 3 - 8/7 ;03 /4 3 , 4 3. 30 ,9 , 8500/ 41

2 03 9 0 -7, 08 ,70 ,55 0/.,:8 3 , .4389,39 949, -7, 3 147.0 41

-

09072 30 9 0 9 20 706: 70/ 147 9 0,:9424- 0 94 .420 94 , 8945

$ &%

W 55 9 0 57 3. 5 0 41 25: 80 ,3/242039:2 % 0 25: 80 8 06:, 94 9 0 574/:.9 41 9 0 .4389,39 147.08 ,3/ 9 09 20 3907;,

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0;0

/

9

Page 64: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 64/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .8 03 9

9 43

$ , 25 0 !7 4- 02$ &%W 55 9 0 57 3. 5 0 41 25: 80 ,3/

242039:2;2;266

F25

%, 3 .425430398 5,7, 0 94 9 03. 30

8 3819

8 3

H

H

9 9

9 9 2;

89

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0;0

/

9

Page 65: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 65/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .8 03 9

9 43

$ , 25 0 !7 4- 02

4 -,80-, 8 5 9. 0/ 9 ,;0 4. 9 41 19 8 1907 9 0 -, 8 9 - 9 0 -,9 9 ,8 , ;0 4. 9 41 19 8

3 9 0 / 70.9 43 8 4 3 1 9 0 -,9 ,3/ -, ,70 3 .439,.9 147 8/09072 30 9 0 ,;07, 0 25: 8 ;0 147.00 0790/ 43 9 0 -, /:7 3 9 0 25,.9

$ &%

W 55 9 0 57 3. 5 0 41 25: 80 ,3/242039:2 3 90728 41 47 439, ,3/;079 ., .42543039 06:,9 438

' 0 947 0 3 8 147 3 30078 3 2 8 $ 0;0

/

9

Page 66: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 66/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .8 03 9

43

$ , 25 0 !7 4- 02$ &%

W 55 9 0 57 3. 5 0 41 25: 80 ,3/ 242039:2 390728 41 47 439, ,3/ ;079 ., .42543039 06:,9 438

;2;266

F25

.42543039 06:,9 43

-

.48

.48

H

H

2;9 2;

.42543039 06:,9 43

-

.48

8 3

H

H

2;9

--- 666

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0;0

/

9

Page 67: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 67/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .8 03 9

43

$ , 25 0 !7 4- 02

5,. , 0 /7458 1742 , . :90394 , .,79 9 , ;0 4. 9 41

2 8 34 3 9 ,9 9 0 .,79 8 3 9 , ,97089 ,3/ .,3 74 1700 /09072 30 ,9 0 1 3, ;0 4. 9 41 9 0 .,79 - 9 0

25: 80 0 0790/ - 9 0 .,79 43 9 0 5,. , 0 ,3/ . 9 0 17,.9 43 41 9 0

3 9 , 0307 489 3 9 0 25,.9

$ &%

W 55 9 0 57 3. 5 0 41 25: 80 ,3/242039:2 94 9 0 5,. , 0 .,79 8 890294 /09072 30 9 0 1 3, ;0 4. 9

W 55 9 0 8,20 57 3. 5 0 94 9 0 5,. , 0, 430 94 /09072 30 9 0 25: 80 0 0790/43 9 1742 9 0 . ,3 0 3 98 242039:2

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0;0

/

9

Page 68: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 68/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .8 03 9

43

$ , 25 0 !7 4- 02$ &%

W 55 9 0 57 3. 5 0 41 25: 80 ,3/ 242039:2 94 9 0 5,. , 0 .,798 8902 94 /09072 30 9 0 1 3, ;0 4. 9

;22;2 . 5 566

F25

.425430398 .482 8.48

;;22;2 . 5 5

H

H

2 8;

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 0

/

9

Page 69: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 69/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .803 9

43

$ , 25 0 !7 4- 02W 55 9 0 8,20 57 3. 5 0 94 9 0 5,. , 0 , 430 94 /09072 30 9 0 25: 80

0 0790/ 43 9 1742 9 0 . ,3 0 3 98 242039:2

;2;2 5 566

F25

.425430398

.482 8

.48

;9

;29 ;2

5 5H

H

8 c9

.425430398 8 32 88 3

H

H

9 9 ;2

58 c9

8 8 8 cccF 9 9 666

25

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 0

/

9 4

Page 70: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 70/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.947 0. ,3 .8 147 3 30078 3,2 .83 9

43

$ , 25 0 !7 4- 02

%4 /09072 30 9 0 17,.9 43 41 0307 489

82

82

;22%

;2%

. 5

5

% % %

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 0

/

9 4

Page 71: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 71/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

0.9 0. ,3 .8 3 300 8 3, .83 9

43

25 , .9W 25,.9 4 8 43 -09 003 9 4 -4/ 08 .

4..:78 /:7 3 , 82, 9 20 3907;, ,3/ /:7 3. 9 0 -4/ 08 0 079 ,7 0 147.08 43 0,. 49

W 30 41 25,.9 42243 3472, 94 9 0 8:71,.083 .439,.9 /:7 3 25,.9

W 0397, 25,.9 25,.9 147 . 9 0 2,88.039078 41 9 0 9 4 -4/ 08 0 43 9 0 30 4149 07 80 9 8 ,30..0397 . 25,.9

70.9 0397, 25,.9

W 70.9 25,.9 25,.9 147 . 9 0 ;0 4. 9 08 49 0 9 4 -4/ 08 ,70 / 70.90/ , 43 9 0 30 41

25,.9

- 6:0 0397, 25,.9

W - 6:0 25,.9 25,.9 147 . 430 47 -49 419 0 -4/ 08 24;0 , 43 , 30 49 07 9 ,3 9 0 3

25,.9

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03

/

9 4

Page 72: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 72/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

, ,3 9

43

7 0.9 0397, 25 , .9W 4/ 08 24; 3 3 9 0 8,20 897, 9 30

; ;

W &543 25,.9 9 0 -4/ 08 :3/07 4 , 507 4/ 41 /01472,9 43,9 9 0 03/ 41 .9 0 ,70 3 .439,.9 ,3/ 24; 3 ,9 ,.42243 ;0 4. 9

W 507 4/ 41 7089 9:9 4314 4 8 /:7 3. 9 0 -4/ 08 0 9 07 70 , 3 9 0 7

47 3, 8 ,50 47 702, 3 5072,3039/014720/

W 8 94 /09072 30 9 0 1 3, ;0 4. 9 08 41

9 4 -4/ 08 % 0 949, 242039:2 41 9 09 4 -4/ 8 8902 8 570807;0/

;2;2;2;2 @@W 80.43/ 70 ,9 43 -09 003 9 0 1 3,

;0 4. 9 08 8 706: 70/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03

/

9 4

Page 73: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 73/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

, ,3 9

43

7 0.9 0397, 25 , .9

W !07 4/ 41 /01472,9 43 :2 !/9 ;2

W !07 4/ 41 7089 9:9 43 ;2 #/9 :2 @

AA

@

0

:;;:

!/9

#/9 37089 9:9 441 9 .4011 . 030

W 8 2 ,7 ,3, 8 8 41 5,79 . 0 0 /8

;::;

0@

W 42- 3 3 9 0 70 ,9 438 0,/8 94 9 0 /08 70/

80.43/ 70 ,9 43 -09 003 9 0 1 3, ;0 4. 9 08

;;0;; @@

W !0710.9 5 ,89 . 25,.9 0 ;;; @@@ ;22;2;2 @

W !0710.9 0 ,89 . 25,.9 0%49, 0307 ,3/ 949, 242039:2 .43807;0/

;;;; @@

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03

/

9 4

Page 74: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 74/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

, ,3 9

43

- 6 :0 0397, 25 , .9

W 3, ;0 4. 9 08 ,70:3 34 3 3 2, 3 9:/0,3/ / 70.9 43 4:706:,9 438 ,70 706: 70/

W 4 9,3 039 , 25: 80 .425430399,3 039 , .42543039 41 242039:2147 0,. 5,79 . 0 8 .43807;0/

9 9 9 9 ;;;; @@

W 472, .42543039 41 949,242039:2 41 9 0 9 4 5,79 . 08 8.43807;0/

3 3 3 3 ;2;2;2;2 @@

W 472, .425430398 41 70 ,9 ;0;0 4. 9 08 -01470 ,3/ ,1907 25,.9,70 70 ,90/ - 9 0 .4011 . 039 417089 9:9 43

)3 3 3 3 ;;0;; @@

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03

/

9 4

Page 75: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 75/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

, ,3 9

43

- 6 :0 0397, 25 , .9

W 4. .43897, 30/ 94 24;0 , 43 47 439,8:71,.0

W 25: 808 1742 39073, 147.08, 43 9 03 , 8 ,3/ 1742 0 9073, 147.0

0 0790/ - 47 439, 8:71,.0 ,3/ / 70.90/, 43 9 0 ;079 ., 94 9 0 8:71,.0

66

,3/0 9

6

W 3, ;0 4. 9 41 -, :3 34 3 3 / 70.9 43 ,32, 3 9:/0 ,3/ :3 34 3 1 3, - 4. ;0 4. 9

2, 3 9:/0 % 700 06:,9 438 706: 70/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03

/

9 4

Page 76: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 76/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

, ,3 9

3

- 6 :0 0397, 25 , .9

W%,3 039 , 242039:2 41 -, 8.43807;0/ 9 9 ;;

@

W %49, 47 439, 242039:2 41 - 4.,3/ -, 8 .43807;0/

;2;2;2;2 @@

W 472, .42543039 41 70 ,9 ;0

;0 4. 9 08 41 - 4. ,3/ -, ,70 70 ,90/ - .4011 . 039 41 7089 9:9 43

)3 3 3 3 ;;0;; @@

W 490 ' , / 9 41 ,89 0 57088 43 /408 349 14 4 1742 570; 4:8 70 ,9 43 149 0 .4011 . 039 41 7089 9:9 43 8 2 ,7 -:9 805,7,90 /07 ;,9 43 8 706: 70/

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03

/

9 4

Page 77: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 77/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

, ,3 9

3

!7 4- 028 3 ; 4 ; 3 30 7 , 3/ 42039:2W % 700 209 4/8 147 9 0 ,3, 8 8 41 309 .8 574- 028

70.9 ,55 .,9 43 41 0 943 8 80.43/ , 09 4/ 41 47 ,3/ 0307

09 4/ 41 25: 80 ,3/ 242039:2

W $0 0.9 9 0 209 4/ -089 8: 90/ 147 9 0 574- 02 47 5,79 41 , 574- 02:3/07 .438 /07,9 43

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03

/

9 4

Page 78: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 78/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

3 9

3

$ , 25 0 !7 4- 02

-, 8 9 74 3 , , 389 , 17 .9 43 088;079 ., , 220/ ,90 -01470 9 0 -, 897 08 9 0 , 98 ;0 4. 9 ,8 ,

2, 3 9:/0 ; ,3/ 14728 ,3 0 414

9 9 0 47 439, 34 3 9 ,90 /09072 30 9 0 2, 3 9:/0 ,3// 70.9 43 41 9 0 ;0 4. 9 41 9 0 -, ,8

9 70-4:3/8 1742 9 0 ,

$ &%

W # 084 ;0 -, ;0 4. 9 394 .4254303983472, ,3/ 9,3 039 , 94 ,

W 25: 80 0 0790/ - 9 0 , 8 3472,94 9 0 , 42543039 41 -,242039:2 9,3 039 , 94 , 8

.43807;0/W 88:20 9 ,9 9 0 , ,8 31 3 90 2,88

84 9 ,9 , ;0 4. 9 -01470 ,3/ ,190725,.9 8 074 55 .4011 . 039 41

7089 9:9 43 70 ,9 43 94 1 3/ . ,3 0 3

3472, 70 ,9 ;0 ;0 4. 9 -09 003 ,,3/ -, 0 9 0 3472, -, ;0 4. 9

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03

/

9 43

Page 79: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 79/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

9 3

$ , 25 0 !7 4- 02

W 42543039 41 -, 242039:2 9,3 039 , 94 , 8 .43807;0/

;;; 9 9 @

W 55 .4011 . 039 41 7089 9:9 43 70 ,9 43 9 074 ,;0 4. 9

;;;

;0;

3

33

@@

$ &%W # 084 ;0 -, ;0 4. 9 394 .425430398 5,7, 0 ,3/

507503/ .: ,7 94 ,

;;;;;; 9 3 8 3.48 HH

3

9

H

@

@

9,3;;

;;; 9 3 22666

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03

/

9 43

Page 80: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 80/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

9 3

$ , 25 0 !7 4- 02

% 0 2, 3 9:/0 ,3/ / 70.9 43 41 9 0;0 4. 9 08 41 9 4 /039 .,17 .9 43 088 -, 8 -01470 9 0 897 00,. 49 07 ,70 ,8 8 4 3 88:2 30 /09072 30 9 0 2, 3 9:/0,3/ / 70.9 43 41 9 0 ;0 4. 9 41 0,. -, ,1907 9 0 25,.9

$ &%

W # 084 ;0 9 0 -, ;0 4. 9 08 394 .42543033472, ,3/ 9,3 039 , 94 9 0 .439,.9 5 ,30

W %,3 039 , .42543039 41 242039:2 1470,. -, 8 .43807;0/

W %49, 3472, .42543039 41 9 0 242039:241 9 0 9 4 -, 8 8902 8 .43807;0/

W % 0 3472, 70 ,9 ;0 ;0 4. 9 08 41 9 0 -, 8 ,70 70 ,90/ - 9 0 .4011 . 039 41

7089 9:9 43W $4 ;0 9 0 ,89 9 4 06:,9 438 8 2: 9,304:8

147 9 0 3472, ;0 4. 9 08 41 9 0 -, 8 ,199 0 25,.9

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03

/

9 43

Page 81: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 81/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

9 3

$ , 25 0 !7 4- 02$ &%W #

084 ;0 9 0 -, ;0 4. 9 08 394 .425430398 3472, ,3/9,3 039 , 94 9 0 .439,.9 5 ,30

819.48 H3 ;; 8198 3 H

9 ;;

819.48 H3 ;; 8198 3 H

9 ;;

W %,3 039 , .42543039 41 242039:2 147 0,. -, 8.43807;0/

819@ 9 9 ;; 819@ 9 9 ;;

W %49, 3472, .42543039 41 9 0 242039:2 41 9 0 9 4 -, 8 8902 8 .43807;0/

@@@@

@@

3 3

3 3

3 3 3 3

;;

;2;222

;2;2;2;2

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 039

/

9 43

Page 82: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 82/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

9 3

$ , 25 0 !7 4- 02

H

@

@

H

@

@

9,3819

9,3819

39

39

;

;

;

;

22

22

666

666

9

3

W % 0 3472, 70 ,9 ;0 ;0 4. 9 08 41 9 0 -, 8 ,70 70 ,90/ -

.4011 . 039 41 7089 9:9 43 ) )

@@ 3 3 3 3 ;;0;;

W $4 ;0 9 0 ,89 9 4 06:,9 438 8 2: 9,304:8 147 9 0 3472,;0 4. 9 08 41 9 0 -, 8 ,1907 9 0 25,.9

819@3 ; 819@3 ;

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 039

/

9 43

Page 83: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 83/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

9 3

$ , 25 0 !7 4- 02

, 8 ,3 3 1742 ,3 30 9038 - 0.47/ 3 /039 ., -, 8 70 0,80/1742 7089 03 9 8 :89 94:. 3 9 0.47/ ,3/ ,.6: 708 , ;0 4. 9 ; -01470897 3 -, 88:2 3 50710.90 ,89 . 25,.9 0 ,3/ 34 17 .9 43/09072 30 9 0 ;0 4. 9 41 0,. -,

220/ ,90 ,1907 25,.9

$ &%

W 09072 30 47 039,9 43 41 25,.9 30 41,.9 43

W % 0 242039:2 .42543039 41 -, 9,3 039 , 94 9 0 .439,.9 5 ,30 8.43807;0/

W % 0 949, 47 439, 242039:2 41 9 09 4 -, 8 8902 8 .43807;0/

W % 0 70 ,9 ;0 ;0 4. 9 08 , 43 9 0 30,.9 43 -01470 ,3/ ,1907 9 0 25,.9 ,70

70 ,90/ - 9 0 .4011 . 039 41 7089 9:9 43W $4 ;0 9 0 ,89 9 4 0 57088 438 147 9 0

;0 4. 9 41 -, , 43 9 0 30 41 ,.9 43,3/ 9 0 ;0 4. 9 41 -, . 8

47 439,

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 039

/

9 43

Page 84: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 84/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

9 3

$ , 25 0 !7 4- 02$ &%W 09072 30 47 039,9 43 41 25,.9 30 41 ,.9 4

H

8 3

7

77

7 W % 0 242039:2 .42543039 41 -,

9,3 039 , 94 9 0 .439,.9 5 ,30 8.43807;0/

8 3;;

;22;

;29 ;2

9

9

@ @H

@666

W % 0 949, 47 439, .42543039242039:2 41 9 0 9 4 -, 8 8902 8

.43807;0/

8 3.48

8 3.48

;;;

;;;

;2;2;2

;2;29 % ;2

3

3

3 9

@@@H@H

@H@H@@@ 6666

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 039

/

9 43

Page 85: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 85/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

9 3

$ , 25 0 !7 4- 02W % 0 70 ,9 ;0 ;0 4. 9 08 , 43 9 0 30 41 ,.9 43 -

,3/ ,1907 9 0 25,.9 ,70 70 ,90/ - 9 0 .4011 . 039 47089 9:9 43

)

.488 3

;;;

;;;

;;0;;

3

3

3 3 3 3

@@

H@H@@@

W $4 ;0 9 0 ,89 9 4 0 57088 438 147 9 0 ;0 4. 9 4 , 43 9 0 30 41 ,.9 43 ,3/ 9 0 ;0 4. 9 41 -,

. 8 47 439,

;;;; 3 @@

@HHH

H

@

@9,3

;;

;;

;;;

39

-

.

22

666

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 039

/

9 43

Page 86: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 86/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

9

$ , 25 0 !7 4- 02

- 4. 8 /74550/ 1742 , 0 941 2 4394 9 0 9 0 5,3 41 ,

857 3 8., 0 88:2 3 9 0 25,.9 94 -0 50710.9 5 ,89 . /09072 30 9 02, 2:2 /01 0.9 43 41 9 0 5,3 % 0.4389,39 41 9 0 857 3 8 2

$ &%

W 55 9 0 57 3. 5 0 41 .43807;,9 43 410307 94 /09072 30 9 0 ;0 4. 9 41 9 - 4. ,9 9 0 389,39 41 25,.9

W $ 3.0 9 0 25,.9 8 50710.9 5 ,89 . 9 - 4. ,3/ 5,3 24;0 94 09 07 ,9 9 0 8,20;0 4. 9 ,1907 25,.9 09072 30 9 ,9;0 4. 9 1742 9 0 706: 702039 9 ,9 9 0949, 242039:2 41 9 0 - 4. ,3/ 5,3 8.43807;0/

W 55 9 0 57 3. 5 0 41 .43807;,9 43 410307 94 /09072 30 9 0 2, 2:2/01 0.9 43 41 9 0 857 3

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 039

/

9 43

Page 87: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 87/88

% 0 . 7, 425,3 08 3. 7 98 70807;0/

9

$ , 25 0 !7 4- 02$ &%W

55 57 3. 5 0 41 .43807;,9 43 41 0307 94/09072 30 ;0 4. 9 41 9 0 - 4. ,9 389,39 41 25,.9

82

;;

' % ' %

' ;;2%

' %

W 09072 30 ;0 4. 9 ,1907 25,.9 1742 706: 702039 9 ,949, 242039:2 41 9 0 - 4. ,3/ 5,3 8 .43807;0/

82;;;22;2;2

' 0.947 0. ,3 .8 147 3 30078 3,2 .8 $ 0; 03 9

/

9 43

Page 88: Chapt 8 Lecture engineering mechanics

8/7/2019 Chapt 8 Lecture engineering mechanics

http://slidepdf.com/reader/full/chapt-8-lecture-engineering-mechanics 88/88

$ , 25 0 !7 4- 02

3 9 , 857 3 /01 0.9 43 /:0 94 5,3 0 9

2L

L

W 55 9 0 57 3. 5 0 41 .43807;,9 43 41 0307 94/09072 30 9 0 2, 2:2 /01 0.9 43 41 9 0 857 3

' ' '

%

' ' '

;22%

0

0

LL

L

LL

2

LL

' % ' %

22 L 2


Recommended