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7. > E = 46Pa KAD ef = oun
ye 08 Trae = O'C |
“1 t ctess. temp [ecm 4
Som
SS ceaake
Let's find the tewspevatuce distribubion first Abguouing 0 quabyadic
dititbudion of the form,
Tle) = at bl? + oon)”
oud plyging iv dee giver dempentuves ot tla cum cide ond the shade ©
Gide, we get
Tl-0.054) = a= - 40%
Te+0.05m) = -400 + boty = 8%
> b= |ooo "the
Tle) = - 90°C + 11 000 "Cfut(2 + 0.08)”
AT = Te)- Teg TR) - 0°
> AT =- 40°C t Move ‘Cfa*(2t 0-05) —-
of AT = [Noontthar2* + M00'Ym?~ HSC
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) Deterwne dhe ctrese dictvibution ta ale peau.
| ond 2 art au priacipal axes, the weetlolis - roeiglted
Ei u-fiw ooith TA FO Com he used. Frou the Lettowe voter ,
uit AM,
‘hail ‘eT ter
oo Ele - Bey ~4iee - Ett] — ©
The beam is wide of owe wintevial, ¢o fle weduluc—soerglhted
popeties ove, equal jo the *vegulor™ Properties .
Er E+ Wt6e > B=]
AT =A, Tsk: , Ti ety
Thus, equation @ ic
TH ue Ww
Oe > A - hy -Hea- eat —-@
We oles lenow dat
Fw = pY 4 fexstdd ———— ®
Wi = US - ffexdtydA ———@®
Wy - aS — [feattedA ———o
Sine there ore wo waechenieal leeds applied to the bem,
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by Fad aytel ond ver teal displacements of
» U2) = oxiol displacement:
the beam as functors of nt.
Fron awit BUY p
du EM
ax EA
5 du E™ _ - 0b
Wo tp ao 8S
ax EA E (0.0050!) fm
“Tuteqrating , we get
U(r) =- S8.Fax + C
The bovadory condition at 120 is
Ulce)=o0 > =O
| uty s Ertoxw")t | & ms)
* We) = vertical Aisplecamaut :
Fron rt HIE, op ,
os
av
5 deo. uy"
dv Ely
“
- TSU + Tele
E, arets “Tye )
( Tye =O, EE )
7 0-001 En
E (hep a)
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= - [08x fo™
Integrating twik, we gt
wl) = - 61RD te Ott OL
The bowdary louditions at 420 is
wlo) =O > GO
wl 4x) =o > €C = 48) xto*
C, = 0.024
J+ | We) = - 6.80% + Ook r wa] Wine)
Fon de displaconsnts, we ton cee thot tle bor deweoses fx
ligt aud bends para da. to dee dural Condition .
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