c::.0\'"\'5ider - - i a~ia\ -e ><tens,o'"" of \oar-
F: +orce
A :. c..'""o.ss sect-, or01 a...-eo
R, D -+ A e. = 0.,.; 9; ...--c:,, ,c:~'"'
A = c. non9e in \en~'r\.
c: 0 Y"l'oider "'3 bor~ of 1:T)e some ma+eria\ -.1 di'r-f p,.., va\ves
J
l DA, F ?
A,_
st·,+fne$~ deperdS:-
on 9eome{:;,y
A
iA::1\c. tJ ~ L= 1 k.
well... who.,t i-f vve ncrn-ct,z.e ,-b:
~--[ r_-~;~ s+ress: o--= F/A +. I
~ + ra, n : E: -: A / ..fl. ~ • 4 . 2
.eo
+.3 L,. _y6-....Y""\<3'~ n--.od~\vS ,-s SlOPc
(; ·:. E,E ~+ £ vs o- , C E)
Hoo~e's ~0,w
No"", vve 'K. r i o vv 1 · E "V"..:J 'y-\., c n -v----e LO+e s . 0- & E:. i s. -, hde?ehc:brv,--
of ~eorretry l::J . t'S O · MATERIAL PROPE;RTY ,
STR..AI N J
riC3id . ~ ' I n--, 0 -t-ion:
v' -t-ran s LO hor-.. -x char.°Je ir-, snope
✓ roto+ion oi'5p1oceme~ ~ =f:. u.l~)
def-ormo-r·,on:
✓ chot1ge cf- shape
;d -: ~ ( ><) ( di sptacernen-\- ·,~ no+ ~'("\·~or m)
-c.xa,mp\~ vndefol"rned
cjl-~
J F"
...._,2 ·
, -
4-.4-
. 4-.S
I •
-5t.-~·, ~ 'r)o.ci 9 .,(N., NE J. cc:>rn~9n~"'-\-s _, ( -+fil +.'3; b eoc'r,-1
one ts O<;So~c.,,Otec\ ~/ 2. dimensions ~ It- ,cs o. -\::e n so'<""
. . e-i© e; = E:,e~@e, +-E 1"2.. e,®
€ :. E:"'lj
-:::=:::. "\...., ~ I ,..._ -.
e2 + .. . ·
(
i"' rnOT"r\)(. -fo{"'m ,
[~l ~ 2.1
- ~.e:]
r::-;. ·e.E::., :~
E:?,, E°~:z.: 6~3 < l
'--:,, d'10.:-goL -- t"1D'('"f1UL ~tro\ n.s
.c.O\ t ..-..& , :, nn ·. v,o\-' s-v""'rneo
0 <::rl-'e -rh~ , .._,..,,,,, J "
-, stre-tc,.h}e)(.:~:n-s\o n. : E".d _> .Q ~ <;::-orn~,on: E 1" < o
~ a:1g'~ irx:reose: E:1i ...C () · , ong\ei det::-rense:: E.;~ > 0
(11=j) .. ' .
~ ~ i s +ne state or st::r-on·,. @ o poait· in o bcdy, \+ vo'<'--tCS ">N/ .
pos\t\o"n
➔ E:.1 i c. h anges -w/ coord. system 1J Je ,does Y"\(;5r
-:,- s-tr-a·,n is vn"rt-\e-ss
---+ 5:tro,n. symrnc+t--\c (e::11-= e:- jiJ ,s
~ ..,._
e: con LL (
'ce e~p• cssed in ·+en-'ns of d'l.Sp\aceme~ -v x......."'\)
5tro·,n-d·1sploCe rf"'ent- re\o-h'°"- ... . . . . ,
€s~(V©U~
~ 2
~®~1
:'--1 ,-.J . ,-,._,:
+7 -+~ese.° ~ equ1vQlet1t
c.ar-\-es·, on coN'poner"'+ ·. · . . -to 1-.s-·+.1- ·
. E:" . -= _}_f o Lt~ 4- d u 1 7 ~ e,
-1,J 2Ldx·. 1 o>'x:'•-.J
1
, ··
F: +orce
A :. c..'""o.ss sect-, or01 a...-eo
R, D -+ A e. = 0.,.; 9; ...--c:,, ,c:~'"'
A = c. non9e in \en~'r\.
c: 0 Y"l'oider "'3 bor~ of 1:T)e some ma+eria\ -.1 di'r-f p,.., va\ves
J
l DA, F ?
A,_
st·,+fne$~ deperdS:-
on 9eome{:;,y
A
iA::1\c. tJ ~ L= 1 k.
well... who.,t i-f vve ncrn-ct,z.e ,-b:
~--[ r_-~;~ s+ress: o--= F/A +. I
~ + ra, n : E: -: A / ..fl. ~ • 4 . 2
.eo
+.3 L,. _y6-....Y""\<3'~ n--.od~\vS ,-s SlOPc
(; ·:. E,E ~+ £ vs o- , C E)
Hoo~e's ~0,w
No"", vve 'K. r i o vv 1 · E "V"..:J 'y-\., c n -v----e LO+e s . 0- & E:. i s. -, hde?ehc:brv,--
of ~eorretry l::J . t'S O · MATERIAL PROPE;RTY ,
STR..AI N J
riC3id . ~ ' I n--, 0 -t-ion:
v' -t-ran s LO hor-.. -x char.°Je ir-, snope
✓ roto+ion oi'5p1oceme~ ~ =f:. u.l~)
def-ormo-r·,on:
✓ chot1ge cf- shape
;d -: ~ ( ><) ( di sptacernen-\- ·,~ no+ ~'("\·~or m)
-c.xa,mp\~ vndefol"rned
cjl-~
J F"
...._,2 ·
, -
4-.4-
. 4-.S
I •
-5t.-~·, ~ 'r)o.ci 9 .,(N., NE J. cc:>rn~9n~"'-\-s _, ( -+fil +.'3; b eoc'r,-1
one ts O<;So~c.,,Otec\ ~/ 2. dimensions ~ It- ,cs o. -\::e n so'<""
. . e-i© e; = E:,e~@e, +-E 1"2.. e,®
€ :. E:"'lj
-:::=:::. "\...., ~ I ,..._ -.
e2 + .. . ·
(
i"' rnOT"r\)(. -fo{"'m ,
[~l ~ 2.1
- ~.e:]
r::-;. ·e.E::., :~
E:?,, E°~:z.: 6~3 < l
'--:,, d'10.:-goL -- t"1D'('"f1UL ~tro\ n.s
.c.O\ t ..-..& , :, nn ·. v,o\-' s-v""'rneo
0 <::rl-'e -rh~ , .._,..,,,,, J "
-, stre-tc,.h}e)(.:~:n-s\o n. : E".d _> .Q ~ <;::-orn~,on: E 1" < o
~ a:1g'~ irx:reose: E:1i ...C () · , ong\ei det::-rense:: E.;~ > 0
(11=j) .. ' .
~ ~ i s +ne state or st::r-on·,. @ o poait· in o bcdy, \+ vo'<'--tCS ">N/ .
pos\t\o"n
➔ E:.1 i c. h anges -w/ coord. system 1J Je ,does Y"\(;5r
-:,- s-tr-a·,n is vn"rt-\e-ss
---+ 5:tro,n. symrnc+t--\c (e::11-= e:- jiJ ,s
~ ..,._
e: con LL (
'ce e~p• cssed in ·+en-'ns of d'l.Sp\aceme~ -v x......."'\)
5tro·,n-d·1sploCe rf"'ent- re\o-h'°"- ... . . . . ,
€s~(V©U~
~ 2
~®~1
:'--1 ,-.J . ,-,._,:
+7 -+~ese.° ~ equ1vQlet1t
c.ar-\-es·, on coN'poner"'+ ·. · . . -to 1-.s-·+.1- ·
. E:" . -= _}_f o Lt~ 4- d u 1 7 ~ e,
-1,J 2Ldx·. 1 o>'x:'•-.J
1
, ··
