Chapter 1 Fundamentals in Elasticity
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- Valerie Ferguson
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1 Fs s
2 . Ioo ssfo of ss Ms 분체역학 G Ms 역학 Ms 열역학 o Ms 유체역학 F Ms o Ms 고체역학 o Ms 구조해석 ss Dfo of Ms o B o w oo of os o of fos s s w o s s. Of fs o o of oo fos os o o o. s s o s of s os s o s o o of fos o. G fos o s w os o o offos; s s s of s o. W s ss Ms? oo of os foows Nwo s ws of oo. - w of - w of o : F - w of o o Wo s?
3 - G Go 6 ~ 6 H o oos of os s o oso o o. Hs foo of w of f os oos of f s of oo. H ss s of so w of s w oso fo q o o o H z o s oz o fo so fs of. Ufo o oos ow s s s w ffo o s f o s oos of os o w. - Iss Nwo6~ 77 H o foos of ss s Go of ffo o w so oos G Gof W Lz 66~76 os s.. - Wo s? W s of sss s s R. Hoo 6~7: Hoo s Lw Jo. Bo 6~7: o s o D Bo 7~78: Bo s fo s fow L. 77~78: qo o. Yo 77~89: Yo s os f of. 789~87: s s fos of o Fs os - Dff M Pos F fows s G. o os o s G. Is f: G sos f: G - F s f so s
4 os. - f so s fo fo s fwo. - oo M Ioo o s of oos s w so f o s sos. s Ps L Pos - Bos w s M: Ros o ss of o w os o. - Bos w Ps M: o o o ss of o w os o. P foo s os. - L Pos: of soso s. B B - s os o o. ssfo of Pos D Pos : = f ss s I Rsos Is Pos : Roso o I Is Pos : s Ifo o s Ms Rsos I o s o Ms Rsos
5 . Po Dfo Ps s - Do Bo - M os - Bo oos : o o w Uows o: - ss - - Ds W ows s o qos o so s os. w ows o fo s o oos s os of o os. W w o s s ss: - ss : fo o o o of fos - : Dfoo of o - Ds : s osos of o s oo of o - Ross o ows s s q s-s os s-sss os
6 q qo: 6 M os q s of o os of fos ss s of sss. -s o: Dfs foo of o s o s. f ss-s o: Rs os of o s s Hoo s Lw. s of Pos - Bo Po BP: ows fo s s o o of o. s w o oos ss s of ows ss s w s os f o BP s s: f fo - I os IP: ows of o fo s s f s. f fo - I-o Pos: w o z o o s o so o. f fo
7 .. Do Bo 7
8 8.. Dfo of o Dfo of oos s s s s oos s f ws ss w s w fo. : s oos so s q s s o oos s f foow s q f w o. P M w M s s of q P. oos o o o ss o s s o f s oos s o o ss oos s fo. oos o o o ss Is of s os f s. M P w s. Yo os s ss o o ff w o ow s. o s f o s o f s s oos fso. fo o o w wo s oos o.
9 .. F Lws 9 Nwo s Lws of Moo - o of o s os ss fo s o o; s s o s s o os fo oo s ss o fo. - of o w s o of o s q o fo o o. - Fo o fo s q oos o fo. s w of os : oso of w of os Dfs o of fow. s ws fows fo o ow soos. Wo so o s soos fow.
10 .. os. Nwo s ws of oo s w of os.. o s o o of fo.. ss s f w o.. sss o s o s of of s s o. P f P P P Fo - P f P P w o = s =. z osq of s o? If sss o w f ss o os sss-s o so s s of s o s s of s w ss ff qos. ow s o ss sss o s o s s o sss o s of s s of s. sss-s o s os of o s ss s o 6 qos o of o qos o qos ff qos w s os s. s sss o s o o of s o sss-s o os ff qos o.
11 .6. sos Oos so oo : I oo : o oo : sss o sss os so. s s. B B B B B B B B B B B B B B B B Do o o o of wo s ss so o s of fs s fs of so. B B B B B B B B B B B B B B B B B B B B B B B B B oss o of wo os B B B B s B
12 Ko fo fo Po so fo o fo o o wo s q D of D D B B B B B B B B B B I D so fs I s oo oo s f f so f of : z z o f so f of : z z so f of : z z so f of : z q qs z s z z
13 G oo D Gss o F F F F F F F F F F F F F F F
14 o ss
15 .. o ss P F Bo Fo: o: Δ P P F F ss : z oos of o
16 6.. Dfo of ss z z z z zz z z z zz z z z
17 7.. s o Ro q oo os os os O OB O O OB O s o B fo of sss s O B O B
18 8.. q qo - I o Fo q: F fo = o B o s os fo fo q qo os o qo so ssf fo os q so s w o.
19 9 Mo q: M fo = o fo os I s s o o o
20 .. oso Po Pos oso G O o oo o o sf o o fows o o o o. oo s fows o o wo ff o o f o. fo oso of o f s ss s: f s s s -fow o s s os o. s ow o o ws os os of o fow o so oos o ow o o of sf. B o w. z f f f qo so o fo sss f
21 Po Pos I o o o f of ss s f of s fo f o s o fo fos L qo fo os ss. f f ss os ooos soo f f f o z f f
22 .6. q Po Pos q Fo q: F F Fz o F o fo = os o D o qo so o fo sss q. fo = Mo q: M fo = o M Po Pos fo = o I s s os o os o w os o so. How s o fos. fo o s oo of sss sss oo so fo of s of oos of o fos fo os so f s fo o so so o so: : o
23 I s q qo s of o fos: :.7. Roo of s ss os w oo ss s f w w o sss oo of o oo ss. Roo of s fo so o os w β β Ooo Τ Τ Dff Oo z z
24 B O os os of w s o. - ss oo ss fo: - s o: - No o: os o os o s o o so sfo o s sss. ss oo ss q q q q q qo oo ss - ss: Bo fo: D: - q qo s of so of oo ss.
25 Ds
26 6.. K Dso Ks? sso of ss s o w o oss oo of o o ss of os wo oso of fos o.. ss ffs of oos. K Dso Dso of s oso of os o sss of s w s o o w o s o + Do w o o of s s? How o s ff oo of O Hw?
27 Mo I: D o ow o O w s o of o w. If o ff s o w s o o of o o. f If o of o w s s o o o fo o o so of ff oo of O w. No ff s o fo os w s so so s. Mo II: ow oo of o o w os o os of s ss fo of o.if s s oo o w o so o so of ff oo of O w. If o ff o o oo o f Is Nwo o o. s s s o s of os of wo s ss o o sfo oo wo ff. 7 f No oos of wo ff s s ff s s s oo. o os o of so of s ss f s o s o w o B ss o so so s os w s so f s. o o of f Mf M f f f
28 o 8 + f f Oso Po Rf L Dso: Mo I I s oso of os f ofo. I s f ofo s s os o o s oso ow. W f ofo s os o ofo f so s L so. f oso s s fo o fo o oso f ofo. s os s fos of. No os o oso f ofo o s s o. Rf ofo X X X
29 Dso: Mo II s s oso os. s so fs o o o of s oo o s of o o of. s o f oso fo ff. I s so os s f s of so w s s N-os qo os ooos ff qo f. 9 oo o: ss o +.. Ds Ds s f s of s oso of f. Ds o
30 s s s s s s s s G s s. s s s s s s.
31 G s s of s ] [ ] [ ] [ s fs s so foo fo s s I s s s of s s. R o oo : s s s s fo. fo wo o. Fo s s. s : fo
32 oo oo ss D :
33 .. Ps Ms No Fo o s s s s s s s s s s s s s s s s s s fo s s s s s s s ss os os ss s s s s os s s I s s
34 .. o -D Pos I s s f s os q s f oss s? - I s s oos s s oos f wo. - W f s s oos o f s of o? w ws s oos q? - s s oos o s oos s. - W o ows s s qos w s oss o so. fo s oos o. - o oss w s oos so f. - W f o o oos s o oo! : wo so s P s oo f f - o oo s f o f!!!
35 .. G s P I oo fo s - s f so s- fos w of. - s oo s o so o fss of s. F
36 6 Fo oo F F ] [ ] [ ] [ ] [. so.- s o qos U U U R R R W o qos s qos s. W s?
37 7 B fos R U U U R U U U R B fos sow. s qos o o qos o of s. Ufo w s o o ss o so of oss o of s! D of ok. Wsz 97 os o s of o qos ssf o w o s ssf o o. o qos sf o o o ssf o. fo o o s of o qos s q o ssf o o o o. - s U U U R R R o. B B oo R R R R R R - s R R R U U U o. B B oo U U U U U U. Fo F G H [ ] [ [ F G U F H U G H U U F G U H F H U G U U H U U G U U F I F G H U U U.
38 8 os Ros
39 9.. os Lw Gz Hoo s Lw Go qos so s q : -s o : os w : q qos s of s Bo oos Ds B : o o B : o o B s of s.. Isoo M Isoo? Iso s o s o s o sos o ss. Isoo ss fo o sos o ss. fo soo s osw s o s os. I o wos os of so of s. ss of s so o of off: 8 o : 6 w.. : =6-6/+6
40 I Ros R. off # of off. # of I. R. N-N N-O.N. - -O. N- -N 9 o No- Ro = s I s II s I I s II II B soo oo fo. I II
41 -O Ro s I s II I s I II s II B soo oo fo. I II 9 Roo N-O.N N-N s. N- -N - -O.
42 ssos R. off o N-N N-O.N. - ssos ss s os. oso Roo of ss q q Fo soo q q q q q [ [ q q [ q q [ q q q q ] ] ] q q q q q q q q ] q q q F Ro: wo off
43 L s os D ssos q qo s of L os o
44 .. Ps Ms of M Pos Yo s Mos Posso s Ro& L os L - + L G
45 Ps Do of Mos [ ] os s s G G
46 6 P Pos s oos z
47 7.. P ss z sso ss of s s o o o sos of. No z- o o s o sf. o of sss o ss s. o o oo O : z z z zz B sso z z zz q qo z z z z z z z zz z
48 8 -Ds os z : o ff o soo os w zz G G Ds o ss s of s G q qo s of s o qos o ssf. Fo o Bo Fo: Po F s ss fo
49 9 q qo: ssf s s of sss fo G o qo
50 .. P z sso If z-o w so. I o -o No z- o o s o sf. -Ds Ro z zz os w z z z z z z z zz zz zz q & o qo Howo # -
51 . Poo ss Fos o oo w/o o fos ss oos Do w os s o so o qo? Ufo sw s No! s s o f soos of.. s o o. o oo Pos. Pf s s sss fos ssf o qo.. o f fos o ssf o o oos.. s s.. s o oos.. If DBs ssf o soo. If o o oo! o o os sss ss
52 O L sss ss - o o : ss : os o sss s sss
53 Fo o : Mo. sss = Mo N. sss =
54 Ff o f f :
55 F oo off of oo so s so o o oos ssf. os o sf w s s sf o.f. s o. s f s o s f. - s P I soss f o os o of o s q o so ffs o sss so o os wos s fo s o o s w os of.
56 .. B 6 L o Bo oos o o sso ss sos o. Bo oo o q ss P P P P I P I M I
57 Ds 7 P I P I G P IG Io P I f P I f B s s P I P f I P f IG P I P I f P I f P I f P IG f P P IG IG P F F IG F F so os. F P I f F P I f P IG Io of F F f P 6I f P 6I P 6IG Ds oos P I P I P P 6I 6IG P 6I
58 8 Ds Bo oos o P P P I 6I 6IG P P P I 6I 6IG P P I 6I P 6IG ow oo s oss. P P G 6I 6IG -Ds o = P P P P I 6I I 6I o P W w sss soo s B o ssf!!! W??? Qso o DB P w o oss o o oo fo IG oos so os o o sf q o o os. Bo oos sf o sf fo w fo o sf w s fw oss. G o oss fo ff qo w o oos f o sf so fo f o sf. fo s oss o fo o oos f o sf w fw oss. ssos o sss f fo s o s o soo o ssf f oo o wo o s w o ss o sss f w s ff. w s o o os w s o oos of f.
59 9 DB o s so. P P 6I 6I P P P I I I P P I GI P P P P P I 6I 6IG I GI P P P P I 6I I I fo of soo P I P / I.% fo. =. P P P P P I 6I 6IG I GI P P P I 6I 6GI B soo P P I I P P /.7% GI I P P /.% 6I I P I P GI fo. P P P I I I =. P GI
60 6 6 P I P I P P 6I 6IG P P P P I I I GI
61 .. B 6 o o oos. o = - q q. o =. o = -. o = oos. so o o o os.. so -s w s o so o fo w. o of fos. = Fo M oo. = Fo M oo Fo M oo
62 6. = + Fo M oo Fo M oo. = Fo M oo F ssos of ss oos o oos o oo q o oo o sos qos I q q I q q q
63 6 s q oos s q oo : I q s q oo : I q I q I q f sso fo sss I q I q I q I q s q oos: q q I q
64 .6. s oo 6 X s X os f I s s fo o os fo s s s f s f o qo fo o s fo. f f f G soo ss oos f os s os s s [ os s os s ] s os s [ os s os s ] os[ s os s os] os s o Bo oos o s B o s Io oss B s os s B os s s B os s B s s
65 Fo offs 6 q s B q s Rf o. -6 of o of s oso.
66 66 6 P Pos Po oo s
67 6.. Po oo ss 67 Bss os s z = z os s s os s os os s sfoo os s s os
68 68 ss os s = s os z z z z z z os s os s s os z z s os s os s s z os s z z z zz os s s os q qo???? os s s os s os s?? Ps Do of q qo. F F os B o s os s s
69 69 ss Fos s oo s o Ds s os?? os s?? os s?? L Oo
70 7 ss Fo os os?? s???? s s s os os s s s os s s os s os os s s
71 7 Ds z z os s s os = os s s os os s s os zz z z z z os s s os s os os s s os s s s os z z z z z z zz zz - B s s os s os s os Go o of s oos B B H B B B ' ' H B /
72 7 R D G F / F / F /
73 7 6.. Go qo Bo oos q ss Fo o oos os Lw Ds Bo oos s Ro o Bo oo
74 7 6.. oos Po oo s o qo I s s fo of o oo of o qo D B D B ss oos B B - If o o ss o of oos =B= - sso w B s o s- fo.
75 Ds sss 7 [ B B ] [ B B ] f B f [ B B ] B f f f f f f f f f f f F f f H s K os so of o soos o o q. =. f [ B B ] H s K os B H os K s F R o so os s s os K H
76 76 R o oo F
77 P Po o B O : O : o o o o ss oos o o o o Ds ] [ o o o
78 78 oos P s o zz zz P sss o o zz zz os w R P o o zz zz zz z F o zz o zz o ss : Ds : ] [
79 ss w ss: ] [ If Ro w ss: / / ] [ / ] [ s If Ro w L Ro o o o o ] [ o o Ro o o
80 8 o ] [ o o o ] [ ] [ o o o ] [ o o o o o o o
81 B M M Bo oo O : O Mo ss oo : o B o M B B Mo oo B B M B D M B
82 oo w N ss. M N M B N M N 8 M N M N Ds [ B B ] H s K os B H os K s F Ds B.. w o. / F H o : o oo 8 B B 8 Mo q o os M B N 8 N M 6
83 6.7. Ro Ds 8 f fo : q qo ss s q qo s of s - qo G oo [ 8 ]
84 8 8 8 ] 8 [ ] 8 8 [ o s = Ds w o s /.9 / 89. s / f N oo fo o Ds w wo ff owo
85 6.8. P w o 8 ss o o f s os s s os s os s os s os os s s oo fo fo sss o oo fo o-fo sss f B o = : os s ss Fo : f os
86 86 o qo D B D B f D H B K D B H K K K H K f f f D B f f f D B F F F F F F F f f f F f f f os os ss oo s 6 6 os 6 os 6 D B B D Bs D B D B D D s B D
87 87 F oo os os s ss oo o os : : osso : s o o - - o Oos os s s os os os os os
88 6.9. F soo -D Bosssq oo 88 Bo oo o q oo / / os P fo. f f f f f f os Bs B s of sss B = / os / os P / / ss oos Po P os ss oos s P P os os os P s os s P s os s os
89 89 ooo I If f f- Mo s R f R f R Pf Pf P f f f M M f f
90 9 7 Ufo oso. oso
91 7.. Bss 9 z Ds os os os os s s os s s s s s os os s s s os z : oo W fo z oos zz z z z z z z z z z z z z z z z z z
92 9 ss oos z z zz G G q qo z-o o z z z zz G o f B o o sf fo z z z fs wo Bs o ssf z z z z s s s s ss fo z z G G o B os s s G s s os o o.
93 9 Bs of z z M z z X X Go qo : G Bo oo : ws o : M
94 9 7.. oso o so ss fo G G G G G ws G G G M G M M ss M M z z W fo G M G M f G M G M f f M M
95 9 M M M Fo so w os o o
96 7.. R os oo 96 Go qo Bs: o s so OD -o o Bs o Y G os Y Bs o ssf. / G G os os Y 8 Y G 8 Y s Bos G / = / Y Y G fo s Bos G / B G os / Y / / os / G os / /
97 97 F oo / os / os os / G ss / os / os s 6 / G z / os / s os 6 / G z M ss 8 7 / os 6 / os 6 / os s 6 / z G G G G ws 96 7 / 9 / 6 / os / s 6 / os / os os 6 / G G G G G M Now so / G G M
98 q so.8.79 / M G G G 98 O so w os ss M G w
99 99 8 B oo
100 8.. q qo Fo Rs Q Q q Q q
101 Mo Rs M ~ ~ ~ ~ ~ w ~ Q M ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ Q M oo fo Mo Fo = Fo = ~ ~ ~ M M Fo = ~ ~ ~ ~ M M
102 ~ ~ M ~ M
103 oo Fo Q Q Q M M M q q q Q Q q q q ~ M M ~ P B Q M q M Q M q W oos so ssf o os o o s oso of??
104 8.. Bo Bs sso o s f so s f foo. No s o. s s os o of. Ds oos sso z?? -s o zz z z?? z z z z z z z z???? -ss o
105 sso o sss B o B zz zz zz ow s-s o Posso o so zo w s q o Posso ff. M z I q qo M M z z M q M q M q I q M I M Q I I I so w fo s o 6 q 8 q 8 6
106 6.. oso Bs sso o s f so s f foo. No s o. s s os o of. Ds oos sso z?? oos zz z z?? z z z z z z z?? z?? q qo M q
107 B oso 7 G GI Q fs G G w G M G I M I G I G q G q I q
108 8 9 Mos
109 9 9.. Po Dfo Go qos Bo oos q qo : os Lw : D : -Ds Ros : Ds Bo oo : o o Bo oo : o s Ro o Bo : o oso
110 Fo s o of s s f o. - 6 of o of s oso o Po
111 9.. P of M Po D D D D D D D D D D D D D D D s os f D fo. fo D fo D ff.??. = o fo os s q
112 9.. P of Wo If foow q s fo of wo os. RR RR ss fo RR D D D D D D D fo ss If of wo os of o os s ss oqo of of o ss. o so of of wo s fo ss
113 9.. R-Rz Dszo oo P of M Po D q q M o fo f K D D D D D D q q q q fo P of Wo fo fo f K D D D q q q q q q q q
114 M Fo Wo sso Ds N
115 B ss-s s Ro D DB F s qo f N f N K DB B f K f f K P of M Po f K f K
116 6 9. B soo s f of s s ss s D B N z z K P P f P
117 7 P P I P I P 6 P I P I P I I M I M I P 6
Chapter 1 Fundamentals in Elasticity
Fs s ν . Ioo ssfo of ss Ms 분체역학 G Ms 역학 Ms 열역학 o Ms 유체역학 F Ms o Ms 고체역학 o Ms 구조해석 ss Dfo of Ms o o w oo of os o of fos s s w o s s. Of fs o o of oo fos os o o o. s s o s of s os s o s o o of fos o. G fos
Chapter 1 Fundamentals in Elasticity
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