Thermal stresses

1. S-fo11ca 111 deH:rtmioa~e stau c.N<Ye ·,
Det-enmi note 9f-mJCNa-e.9 o~e ()J1{11sed .Ju.Sf- b'f
f-r)e uge 0-f baEfc eq ui b(( LJWJ eq tXJ h' ong. £ 1 -tn iS'
Ona '19i9, ¾1-e untno())n Cf-ea cri on-9 acre -mood focr m-e
--fucr1r)01 deJ--ectrninotton of _s+-rte;geg. Exompe, of
deJ-errro1 no+e g',cructu('(e9 o <1e 91mr1, ~urrocrt-ed beamg
co..n-H leverr b-eartr>g; siog.-e anq doub-e OJEr<hDn9, r9 beorng
1'10-e_e hing.ed oacne_g etc..
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i
no. untno(J)n3 ~ :3
oo. of eClui Ii bo-ium eooonon.9 = 3.
~ g+Q-Kca Ir, J- ndt:1-ecrm ino+e .S+('(Ucrvr<e :
A E+CYvChJ ((e ,s --Jerrmed M ..9--011' coly ·1 ode-f eami no1e,I ir i1
co.n no 4 re ona,,s-ed --?crofl) perinc.i Ple-9 of 9ro,t--ic. a Ione
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LH=O 1 2J.:O zM:.-0
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1 v'J_
no. o+ untnoc>'.)o.9 ..: oc.,
r,o. o.r eoullibrrivrf) eqoo.hon9:: OB.

2. ~ lh€crrno I S+cregge.9
rn-eato)ol 8-kre--9.Ge.Q one ine Sf-CYe.9ge_q ,nauced in o baCJy
d..fe +o Chon9e 1n +ernr-en Qtvne. .
l€,,l-
con9id-err a bod, Whicn ,s hea+ed +o a cea+ain
+-e.nJ.p-ea Qt-uo e.
L =- OCT 19 ina l t-€n91TJ 0-f bod 1
T -:: B Lse l n --t-emp-ed 01--urY-e
F:: 'jotJng'_g tnodulu_g
cy: co-e4:'fic,en~ 0-f- lioea<Y e::tPonE1
on •
d L :: ert-ensi on of- aod du_e +o 0ii;e o-r
ieJ17p-eaawne .
14 m€ aoa j_g mee +o erponci ineJ1 extengion o( me
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(Tod L9 9hJlj) bJ
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IdL - o,(,T. L.( The a,rnp . ...s+CT a 1n
pe.ca-ea.9e in 1~9tD
ooi 91 n~ 1-engt<) .
~ ,,. L o{T L
A B B' (L+c-{,TL L
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@ i l : r ISt®'n 2 o(. ~
g+ ('(('_E9
c ~LA
______....r-P t _, 9tC1ain.
'ct- s+CT-e98 _- 91 erain x E
1,-1.---L
[-9t«elf :c ~ T- E.]
; o{TE' X A_j

3. Tuecrrnol stcro ;n - e:
e -
EJ(t-en.9i on ~evf'f) l--e q
ocr i9-1na 1 r~
dL
L
O('TL
L
7)-)ecrmo) 9t«eB.9 --- 0 ~ Jhecvrno 9+-<roin
71,-e_amd 1 9We9B g q L9o tr)own og +eropenotune £+cveB9
TueC1nr:>~ .f}t-ao10 ,_s ogo tnoOJn ag +e,roJf-e_aan.Kre .9-f-aCtio.

4. ?
A e1od ).9 2. m ,on-9 o.J q -tempeCJawrre 0-f 1d'c. 1ind me
expo.n9i on o-f tne Clod, When tn-e +-em:proa-tvcre ~lg n a rt; ed
+o so"c . J.f --tn·,_g -€.Xi> ongion , 9 pae;Jen t-ed,, -ft rd me
S+ereg_s 1oduce.d io tne mo+--ec.ia! o,f me CT Oct .
,ake f' -= 1. o x ,8 MtJ /m1- and ~ -=- o, oo oo I 2. p-err d{9<Yf'~
c-en+i9-CTode.
~ of- crod - L :: 2m.:: 2.000 f,)Rn. - 200 C07.
1oitiaJ +et?J)p, -'t .:: f0° C
-finoJ tBn-)-P . -
'2 - 8cf C
-
Ri9e in +en1 p. i: 12_- T 1
80or
0 0
::: JO = 70 C
'10Un9~ t')od UltJ_g -£ ~ I, ax ,os ntJ I «) 'l.
- l, or- cf ~ Io~ rJ Im2
-
~
t X Io'' N / f'r) ':L
-
co• effi c,en--+ CJf o(~ O· 0000 12-.
i neoo ex,ro.ngion
;) '7he e:xpons,'on 0+- tne o oct du.e +o TffDpeo-a tuo-e cY ,9-e.
·, g 9-i ven by eoua-n on.
e::cpons1on of- 1ne ctod ~ ex(•,. L.
~ 0,000012 K10'K 200
i-, ~ 0 n~ • :: o. IB 8 cnn.
, 'Jr) e _::rt('(c.::Ji: l f) 'TT) € rnakcd oJ .
o+ 1ne 0 od w €_a,po.n_g, on ts -f>crev01-teq lg 9:,ve11 by
7he.anJQ I g-+cr,egg 6 -= o<, T, E .
=- 0·0000 I2. X l OX 1· C) 'I-- lO
11
=- 8 4 'X, DG N/ rr/2. = 8 t'J/mm