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Statics and structures (ES196) (2)

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Statics and structures second part

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Institution
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Uploaded on
September 9, 2021
Number of pages
25
Written in
2020/2021
Type
Class notes
Professor(s)
Dr. elia gironacci
Contains
All classes

Subjects

Content preview

StresSes Structor
max
when a SIUCtuKel STe elmoT brcaS reach
s chasacteristic STTength
SDociyo
C.SpOpRITY E each matero
SCtion osEA» T[ONSfoim
ctOSS
a uncons oc he
Internal corcEs
eorces iAo SITeSsegS
Lnternal resultangr loadingS
FoCe and
1esOITaOi
Generic body, SUm al the OCEs ,




into comOUnents
mOMRAt wnich are tesolve


TA tosional manent




FaA Axiol eorce FAASShear M A BM


LPa N/M N/Mm -[MPa
Stress

-Jomal (direr) stiess
Conpres Si e AF
Tensile
Stres s
StrEsS |
P




to LEnding
STress due ergh
orginal
enmaNS at its
uONCh
wRICh


neutral aXS+ 20

plane-> 3D
(

plant/arS
psM to a aROTS
diSTane of
y
o ArcaLmm
Second MoNent
Fexer c
Or MVta
(1angemLa S IeSS) GTentcatiOn O A
SheaSTress
AF
Lax A A CY es oLO
ich

T x, Eocn SECI fOfCe ACtS

TIEy

, Shear Stress dueto 10sion

TorSion crearec COR to TOrque (T)



=)General stresSS
3 normol forces (o)
6Sher Or Ces (t) Ty Tyn
Ley x


consiae fnt
To Simoli ey q i T O 6. wr chooSF a plaÁe oand
and aPAly Qiibrium:

>Plane stresS STCUctuCl eeMent> 0nolyted in a Singie plane
A
A sMpliçied way

inctined section
N-V
P Can be esolved inO
avqer S r face


calclOte fhe aSSOCated AOrmal
and snPau Stress=\F IA)
PoR- Stres tranSOrmCiKLON

ind highe st
Siiesses Sign OnvCation
when its reNSiON
positv


whenKOtotedA

APAy e9


C O; cose + OySiA'G+y (2sinG coso)|

Fy' 0 sino
(COS'O
y'= (Oy JSin Ocos(o) y
+



+Cy, - O cos(20)+ Ivy Sing ) nclined
2

, Sin zG Lxy COS2
2


yOy
2 Z
CoS 20- xy Sint0
+Oy



60 HPa

30
MPa
O CCmpore S9 ConvemiCh
C
PCANt CD



30 030

0-4Q cOS (-10)- 30 sinz( 30) =-29.02 MPa |
50 t uo 2


Cos2(-20) =-66G MPA
-80 -uogin2(-30) -30
2 3c)=-15, 98 M Po)
SOruO 30-40 osz(-10) 30SIO +

y
STress csi tic:fy
=> Prinupol happen
wnen the mOx VOtUt çc
aNd croec
The coulute oves C Y E
ore
S t SSSCs) eiioto3
pLncipal Vestic Gi
n0

Cm pIeSCion ( - )
ofe normaly and
and
Fractoe3 COnsta mak
els,
Lne of SSSSeS
COnstar tens) - ) . coinade
ih
(uuic
-
whf
ectiOn
Of
0Osin max tnSior(CMPS.On

tn/comp CPS
.Princal
May
tht Ond-
To finc 10 Oncd- htm
C>pect
Difrecemot wl and oP.
Ubiitute


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e e get
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