hd-exp-stress-analysis-chapter 3-strain & stress-strain relationships-august 2010
TRANSCRIPT
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
1/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
,5907
$%#$%#$$$%##%$!$ %$!%$%#
:7042-3,943841/85,.020398,3/897,38,,70/85,.020398749,9438,3/
897,38-,70/85,.020398,3/749,9438-:982,897,38.$2,/85,.020398749,9438,3/897,38
&3/079031:03.041,889024109073,147.08,354393,30,89.897:.9:70
24;0%024;0203941 98 ,7-97,75439 385,.0.,3-07057080390/ -,;0.947:8:, 82, 343 ,8 /85,.02039 47 /85,.02039 ;0.947 . .,3 -07084;0/394907.425430398:;,3/390,7908,3.447/3,9088902/70.9438,3/70850.9;0984:/-03490/9,930307,902494341,354393,30,89.-4/8:-0.994,889024109073,147.08,3/2420398.,3-0/893:80/394945,798
97,38,943,3/47749,9434190-4/,8,407/-4/24943..,3-0,704782,
%0 24;02039 41 90 3/;/:, 5439 41 10/ /0399 41 90 -4/ 70,9;0 940,. 4907 /01472,943 . 8 0307, 82, 0.059 147 850.,0/897:.9:70
$97,38,042097.6:,399./0503/8439070,9;024;020398419447970054398390-4/,3/870,90/9490/01472,943/85,.020398#/ -4/ /85,.020398 349 -0 .438/070/ 1:7907 83.0 90 /4349 574/:.0897,3
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
2/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
$97,3 472, 897,3 30,7 .,30 3 039 41 , 30 802039 -09003 94 54398
/;/0/-90473,039419030802039 $0,73 897,3 ,3:,7 .,30 -09003 94 30 8020398 . 070
473,507503/.:,7$00 :70 :0 94 897088 050703.0/ - 90 -4/ 897:.9:70 ,3 ,7-97,7 ,3/0307,.473075439!41,3002039,3139082,.:-09390-4/8/85,.0/974:,/89,3.0:390/70.943;390/70.943,3/390/70.94394,30 4.,943!$2,7 ,34907.473075439 "41 90 3139082,.:-024;08 94,55439"-,24:398./110717429480,95439!0:;,3/390,3/ /70.943 70850.9;0 %080 /85,.020398 .,3 -0 0570880/ 3 90728 41/85,.020398:;,3/,9!-20,3841%,478070805,3843
: : :
: :
N N N
N N N
; ; ;
; ;
N N N
N N N
N N N
N N N
: ;
!
!"
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
3/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
%4 -0 20,331: 9 8 :8:, ,88:20/ 9,9 90 .:-., 3139082, 002039 8
8:11.03982,849,90747/0790728..439,3,3/07,3/0747/07/07;,9;08N:NN;N,3/NN,3-0300.90/849,99090728843,-4;0,709043831.,394308&3/079080.43/94385,308702,35,308,3/897,9308702,3897,9308 3 90 /014720/ .:-0 /03910/ - !" . 8 , 1:3/,2039, ,3/ -0,78831.,39.43806:03.0839030,70/904709.,,3,88%0 3472, 897,3 .,3 -0 0570880/ 3 90728 41 90 /85,.020398 050703.0/ -54398,9 9003/841 90 30802039.438/070/ 1 90 30!" 8.438/070/ 94-0473, 470390/ 5,7,0 94 90 ,8 903 ,3/ ,70 .4389,39 ,43 !" 1 90/85,.020391475439!,70:;,3/03.0
:
: :
N
N
;
; ;
N
N
N
N
74290/013943413472,897,3
1
,
706:;,039
1 -
! "
!
"
:
;
:
N N
;
N
N
N
N
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
4/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
8 843 3 90 /014720/ 039 .,3 -0 0570880/ 3 90728 41 90/85,.020397,/0398,8
: ;
N N N N N N .
$6:,73-,3/8:-899:93.;08
: : ;
1
N N N N N N N N
/
47
: : ;
1
N N N N N N N N ,
$2,7
; ; :
1
N N N N N N N N
-
: ;
1N N N N
N N N N
.
%0 80,7897,3 .425430398 .,3 -0 70,90/ 94 /85,.020398 - .438/073 90.,308379,30050703.0/-900/0841 90.:-0/:73/01472,943$00
!74-02#0/07;006
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
5/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
438/0790308!",3/!#%0,307-09003!",3/!#390/014720/89,90.,3-00570880/3907284190/85,.020397,/039883.090.48304190
,30-09003,394390780.93308385,.08908:241905,780574/:.9390/70.943.483084190308
.48
: : ; ;
7
N N N N N N N N N N N N /
74290/0139434180,7897,3
6 7 0
. 8 90 /01472,943 41 90 473, ,30 6 394 90 13, /014720/ ,30 7%0701470
83 83 .48
6 7 7
1
$:-899:93/3941,3/825130/8
N
N
;
N N
:
N
N
! "
!
"
:
;
:
N N
;
N
N
N
N
#
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
6/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
83
: : ; ;
N N N N N N N N N N N N
742- 1 ,3/ 1 -90701470
,7.83
: ; : : ; ;
1 1
N N N N N N N N N N N N N N N N
,
$2,7
,7.83
; ; ; : :
1 1
N N N N N N N N N N N N N N N N
,
,7.83
: : : ; ;
1 1
N N N N N N N N N N N N N N N N
,
O 6:,9438,.,3/,.705708039,.422430330073/08.7594341897,33907284154894384154398390-4/-01470,3/,1907/01472,943
O 3 90 /0;0452039 41 9080 06:,9438 34 29,9438 070 25480/ 43 902,39:/04190897,380.0599,9900747/07907283 90%,4780708
05,3843147/85,.02039070300.90/O %8 70897.943 ,8 900110.9 41 293 90 03941 90 30 802039 ,0039 :80/ 147 897,3 /090723,9438 :3088 /85,.02039 7,/0398 N:NN:N3907043413907089,70088039,.4389,39
O 1/85,.020397,/0398 .,307,5/95489433 90 7043413907089;078479,00398-0706:70/147,..:7,90897,320,8:7020398
32,357,.9.,,55.,9438,3/0330073574-028413907089897,38574/:.0/-90 ,550/ 4,/8 ,70 70,9;0 ;07 82, 84 9,9 574/:.98 ,3/ 86:,708 41/85,.020397,/0398-070,9;04140747/07412,39:/02:.82,07970850.99490/85,.020397,/0398,3/174257,.9.,3907089.,3-0300.90/
9 9080 ,88:259438 06: . ,3/ ,. 70/:.0 94 90 897,3 /85,.0203906:,94381706:039:90/3909047410,89.931,.91448/70.9174290/013943%070/:.0/147241897,3/85,.0203906:,9438,70
:
1
N
N ,
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
7/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
;
1
N
N -
1
N
N .
; :
N N
N N /
;
N N
N N 0
:
N N
N N 1
$%#"&%$%#$#%
438/07903472,897,33,3,7-97,7/70.943/01394390897,3,43!",1907050703.3/01472,943949803/89,90!"8;03-
!"
! " !"
!"1
,
742042097.,.438/07,9438800
: ;
!
!"
"
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
8/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
!" - ! " .3 0307, 90 .42543039 ,;0 , /1107039 039 9,3 90 .42543039 -0.,:804190/01472,9434190-4/390/70.94303.0
: : :
N N N N N N
; ; ;
N N N N N N
/
N N N N N N
$:-899:9434106:8/394.;08
: ; ! "
: ; ; :
N N N N N N
N N N N N N N N N N N N
0
6:.,3-07079903,8
!"
! "
!"1
47
!"
! "
!"1
1
$:-899:94341-,3/039410/8
!"
! "
!"
: ;
: ; ; :
1
N N N N N N N N N N N N N N N N N N
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
9/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
!"
: ;
: ; ; :
1
N N N N N N
N N N N N N N N N N N N
4939,9
.48
!"
.48 !"
.48
!"
%03,19078:-899:943413948420,0-7,,3/70,77,3020394304-9,38
.48 .48 .48
.48 .48 .48
.48 .48 .48
!" !" !" !"
: ; !" !" !"
: ; ; : !" !" !"
1
N N N N N N
N N N N N N N N N N N N
%0144370,94385.,3-0:80/941:7907825106:
!" !" !" !"1 1 1 1 83.0 !"1 ,84 .48 .48 .48 !" !" !" 03.006:70/:.0894
.48 .48 .48
.48 .48 .48 .48
.48 .48
!"
: ; !" !" !"
: ; ; !" !" !" !"
: !" !"
1 N N N N N N
N N N N N N N N
N N N N
,
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
10/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
%0/07;,943419080,73897,3824703;4;0/438/0790,3:,7.,303,3,7-97,779,3014720/-94308020398!" ,3/!"
%080,73897,3!"!".,3-084394-0
.48 .48 .48 .48
.48 .48
.48 .48 .48 .48
.48 .48 .48 .48
.48 .48 .48 .48
!" !"
!" !" !" !"
!" !"
!" !" !" !"
!" !" !" !"
!" !" !" !"
1 1
1
-
6:8,3/,-.,3-0:80/94/090723090897,3.425430398
.48 .48 .48
.48 .48 .48 .48 .48 .48
1 1 1 1
,
.48 .48 .48
.48 .48 .48 .48 .48 .48
1 1 1 1
-
.48 .48 .48
.48 .48 .48 .48 .48 .48
1 1 1 1
.
.4483 !" 5,7,0 94 ,3/ !" 5,7,0 94 ,3 05708843 147 .,3-04-9,30/,81448
.48 .48 .48 .48
.48 .48
.48 .48 .48 .48
.48 .48 .48 .48
.48 .48 .48 .48
1 1
1
/
$2,7
.48 .48 .48 .48
.48 .48
.48 .48 .48 .48
.48 .48 .48 .48
.48 .48 .48 .48
1 1
1
0
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
11/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
,3/
.48 .48 .48 .48
.48 .48
.48 .48 .48 .48
.48 .48 .48 .48
.48 .48 .48 .48
1 1
1
1
6:,9438,1,7090897,306:,94384197,381472,943,3/.,3-0:80/9497,381472
90 8 ,7908,3 .425430398 41 897,3 1 1 1 70,9;0 94 90 7010703.0 88902 94 8 4907 ,7908,3 .425430398 41 897,3 70,9;0 94 90 7010703.088902
%080 057088438 ,70 .425,7,-0 9 9480 147 897088 .425430398 06: ,1 3.,5907
9 1 :
9 1 :
9 1 :
%080057088438,70.425,7,-099480147897088.42543039806:,13.,5907
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
12/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
!#!$%#$%0708,4.,70,94385,80,882,79-09003897088,3/897,3,8.,3-04-807;0/ 1742570;4:880.943302, 31079,9 9070089,92489 9700/893.9573.5,897,38,43 9 907 9700,884.,90//70.9438$:-899:93 .43;0784383/.,90/-06:3570;4:880.94339406:41.,59074304-9,38
3 3 3
1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1
%0744984198.:-.06:,9433 13;090573.5,897,38$2,7949089:,9438147897088089070,7097005488-908
1 1 1,3/ 1 ,70 /893.9 903 33,3/3 ,70 :36:0 ,3/ 2:9:,507503/.:,7
1119903,70/893.990333,3/3,70:36:0,3/2:9:,507503/.:,7
1111903,/7489,9.89,90438970880898,3/0;07/70.9438,573.5,
%070 ,70 ,84 9700 897,33;,7,398 . ,70 ,3,44:8 94 90 9700 8970883;,7,398,3-8:-899:9306:39406: 41.,5907907084-9,30/
1 1 1 1 1 1
1 1 1 1 1 1
1 1 1 1 1 1
1 1 1
1 1 1
1 1 1 1 1 1
9.,3-08439,9490706:,9438147897088083,5907.,3-00,8.43;0790/9406:,943839072841897,38
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
13/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
!%%30 2, 903/ 94 -00;0 9,9 90 9700 06:,9438 0570883 90 /01472,943.42543039:;,3/390,3//70.94370850.9;039017,20417010703.0,8;03-06:0/,:36:089:,94340;078:.89:,943,4302, 25 ,3 ,7-97,7 897,3 10/ 0;03 2470 9 2, 705708039 ,3 25488-0/85,.0203910/8:.,83.90-4/29.439,3;4/8,1907/01472,943%4/0394982,99071:79074302,89,79990/013943.8,8490178947/07897,3/85,.02039,3,884180,7897,38,
; :
N N
N N
,
1107039,93 43.0970850.994,3/,,3970850.994;08
: ;
N N N
N N N N N N -
4939,9
:
1NN
N N N ,3/
;
1NN
N N N N ./
,3/8:-899:939080394,4304-9,38
11N NN
N N N N
0
. /.9,908 430 41 90 706:7020398 147 ;,/ /85,.02039 10/ . 4.,144890897,3/85,.0203970,94385.038:7089,990-4/.438/070/8
825.4330.90/34;4/908,20940382,74507,9438147 ,3/ 0/
1 1N N N
N N N N 1
,3/
11N NN
N N N N
6:801,3/.42578097004:941806:,9438343,8.425,9-970,9438 94-0/07;0/8:-806:0396:8.01,3/.,3-01:7907.42-30/94;0,.43;0303970,94385-09003
1 ,3/ ,3/ 47985:75480:8090144370,94385
. 0 1 ,3/09
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
14/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
1 N N N NN N N N N N N
82,72,902,9.,4507,943843009
1 N N N NN N N N N N N
1 N N NN N N N N N N N
03.090.425,9-970,94389,9,;094-08,9810/-90897,310/,70;03-
11N NN
N N N N ,
1 1N N N N N N N
-
11N NN
N N N N .
1 N N N NN N N N N N N
/
1 N N N NN N N N N N N
0
1 N N NN N N N N N N N
1
!74-02#0/07;0147.,80
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
15/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
'&%%438/07,82,70.9,3:,70020393,/014720/-4/.,8980/08470390/,4390573.5,,08
%0 039410,.8/041 90 -4. 2,,;0.,30/-:9 90 002039 349 -0/894790/83.09070,703480,73897088%0.,303;4:20418:.,3002039/;/0/-9039,;4:20343,890 ;4:20/,9,9438-/013943;03-
' '
'
' 9039,;4:20-01470/01472,943.806:,9490574/:.9419097008/084190002039, ,,3/,
' 9013,;4:20,1907/01472,943.806:,9490574/:.9419097008/084190/014720/002039, ,,3/,
$3.0
, , 1 , , 1 , , 1 903
, , , , , ,, , ,
1 1 1
00.930747/07907284304-9,38
1 1 1
9
''
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
16/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
6:,943 3/.,908 9,9 90 ;4:20 /,9,943 8 06:, 94 90 1789 3;,7,39 41897,3 . 8 3/0503/039 41 90 .447/3,90 17,20 41 7010703.0 :90/ '4:20/,9,94389:8,.447/3,903/0503/0390399!74-02,9,709058.,831.,3.041,3/0-80,7.09. $%#$$$%##%$$97088,3/897,3,;0-003.438/070/ 3/;/:,9 9043,88:25943 9,9 902,907, 8 .4393:4:8 1 57,.9., 3907089 8 90 897088897,3 70,94385 47 9,95:75480 .079,3 70897.9;0 ,88:259438 70,7/3 90 -4/ 2,907, 2:89 -03974/:.0/30 1,2,7 ,88:25943 .,8 -003:80/ 357,.9.0 147 825.9 8:.,8 904408,830,794190897088;078:8897,3390-4/99030,7897088
897,370,94385.32,357,.9.,389,3.08,7070,89.9-05488-0947909014430307,897088897,3057088438
9 1 1 1
9 1 1 1
9 1 1 1
: 1 1 1
: 1 1 1
: 1 1 1
07094,7090.4011.0398410,89.941902,907,,3/,703/0503/03941902,39:/0841-4990897088,3/90897,3574;/0/900,89.2941902,907,83490.00/0/ 1900,89.2980.00/0/9030,770,94385-09003897088,3/897,33443074/8,3/06:,70342470;,/%070,700,89..4011.0398306:-:9349,,703/0503/039897,30307.438/07,94389080.4011.039.,3-070/:.0/94,88:23849745.2,907,90.4011.0398410,89.970/:.09494.4389,398
9 2 31 9 2 31 9 2 31
: 3 : 3 : 3 070
1 1 1 17893;,7,3941897,3
2 ,208.4389,39
3 80,724/::86:,943.,3-084;0/94;0
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
17/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
2 3 21 9 9 9
3 2 3 3 2 3
2 3 21 9 9 9
3 2 3 3 2 3
2 3 21 9 9 9
3 2 3 3 2 3
:
3
:3
:
3
%00,89. .4011.0398 3,3/ 2,780 1742,2,902,9., 970,9203941 900307,30,7897088897,370,9438
3 05072039, 47 ,208 .4389,39 2 8 30;07 :80/ 83.0 9 ,8 34 58.,
831.,3.0 %0 80,7 24/::8 3 40;07 ,8 58., 831.,3.0 ,3/ .,3 -020,8:70/438/0794/203843,.,80415:7080,7
9 9 9 : :
74206:
:3
,
03.0 90 80,724/::8 3 8 90 7,9441 9080,73897088 94 9080,73897,33,94/203843,89,90415:7080,7 3,.43;03943, 903843 908941903:80/ 94/0907230 9020.,3.,574507908412,907,8,43803/07-,788:-0.90/94,89,9041:3,,897088390439:/3,/70.94347985,79.:,7.,80
9 9 : : :
,317426:
2 3
1 93 2 3
,
21 1 9
3 2 3
-
390002039,7:3/0789,3/341897039412,907,890897088897,370,943814790.,8041:3,,897088,7041903;03,8
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
18/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
1 9 .
4
1 1 9 /
6:,9390.4011.0398306:8,3/-9494803.,3//907084-9,30/
3 2 3
2 3
-
24
2 3
.
890034324/::8410,89.9,3/ 4890!488437,94.8/0130/,8
14
1 /
6:,9438,/3/.,9090.43;078431742,208.4389,39 2,3/9080,724/::8
394902470.42243:80/24/::8410,89.9,3/!4884387,94 4/7489,9.897088%4089,-890/013943,3/58.,831.,3.041,1190,89..4389,39.438/07,89,9041/7489,9.897088
59 9 9
: : :
0705890:3147257088:70,.934390-4/
//394090790178997004106:4-9,3
5 2 3 47
5
2 3
03.0
5
5
5
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
19/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
5
2 3
%0.4389,398343,890:24/::8,3/8907,944190,550//7489,9.
57088:709490;4:2097./,9,943$
%070,701;00,89..4389,398 234,3/
2 ,204389,399,83458.,831.,3.09:8.,3349-0/70.920,8:70/9 8 02540/ -0.,:802,902,9., 9 825108 897088897,370,9438
3 80,724/::8
: : :3
,8-492,902,9.,,3/58.,831.,3.0
24/::8410,89.9
3 2 3
2 3
48970.430/,3/,70:80/3,2489,,70,841897088 ,3,88
4 !4884387,94
24
2 3
48970.430/,3/,70:80/3,2489,,70,841897088 ,3,88
:24/::8
5
2 3
8:80/572,7147.425:93;4:20.,3083,;03-4/8:-0.90/94/7489,9.57088:70
070
/,9,943
' '
'1 1 1
:9 41 9080 1;0 0,89. .4389,398 9070 ,70 43 94 3/0503/039 4308 %070,943858-0900390800,89..4389,398,700-90/3%,-0
%0 .4389,398 ,3/ 4 -0 :80/ ,2489 0.:8;0 3 1443 /8.:88438%0701470 057088438 147 897,38 -0 7079903 :83 9080 94 .4389,398 ,81448
1 9 ; 9 9
1 9 ; 9 9 ,-.
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
20/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
1 9 ; 9 9
; :
; :
/01
; :
$2,7147897088
9 ; 1 ; 1 1
; ;
9 ; 1 ; 1 1
; ;
,-.
9 ; 1 ; 1 1
; ;
:
;
:
;
/01
:
;
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
21/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
%,-0#0,943858-09003900,89..4389,398 2 3 4
2
3
3 2 3
2 3
2
4
2 3
2 3
2
23
2;
2
2
2
4
2 ;3
;
2 ; ;
;
2 ;
;
2
23
2
2
2
4
2
3
3 32
3
34
3
3
3
3
4
3;2
;
3 ;
3 ;
3
3
32
3
3
34
3
4
;2
; ;
3;
;
2
3
;
4
;2
;
;3
;
;
2 2
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
22/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
742,7-07,89.9:07
;;;;
9
0000
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
23/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
24/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
25/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
26/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
27/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
28/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
29/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
30/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
31/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
32/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073
-
8/3/2019 HD-EXP-STRESS-ANALYSIS-Chapter 3-Strain & Stress-Strain Relationships-August 2010
33/33
!#%$%#$$$$$$:4;02-073,88%0,8,307:,
!741,743444/,7/4$.
05,7920394107485,.0330073