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Stress lecture 2

  • 1. !"#$%&"' () *+"$#,+-! . / 0$1"2#$ 3
  • 2. Concept of Stress / 4 5 6'$ $7"$#%+- )(#1$! +88-,$9 (% 4(9: ; 4 ; +#$ ,% $<2,-,=#,2> ? ,? $ ? @ A / ) B C ( D> C ( 5 E-!( @ "'$ 4(9: ,! =#,9&,%& =$"F$$% "'$ D7"$#%+- )(#1$! +%9 #$!,!",%& +&,%!" "'$ +1",(% () "'$!$ )(#1$! G ), @ )H @ +%9 IH J F,"' &$%$#+"$9 ,%"$#%+- )(#1$! .
  • 3. K(F @ ,) F$ 12" "'$ L M-+&$ 4(9: ; 4 ; =: 8-+%$ 8 +%9 1(%!,9$# "'$ N O 8+#" ? 6'$ #$>+,%,%& $7"$#%+- )(#1$! +#$ %(" -(%&$# /! ,% D<2,-,=#,2> . 6',! " ,! %(" P+-,9 ? 6( >+,%"+,% Q D<2,-,=#,2> +% ,%"$#%+- R )(#1$! '+P$ "( =$ E88-,$9 "( #$!"(#$ $<2,-,=#,2> ? S$#$@ "'$ ,%"$#%+- )(#1$ F,-- =$ "'$ "#+1",(% )(#1$! /" J
  • 4. I(# "'$ ,%"$#%+- )(#1$! T(%!,9$# + 9,))$#$%",+- )(#1$ G 9 IJ +1",%& (% + !>+-- +#$+ /9 E J @ "'$ #+",( =$"F$$% "'$ )(#1$ "( "'$ +#$+ ,! 9$),%$9 +! + 2%," !"#$!! 9 ) . / !"#$!! 9 E 4: 8(82-+",%& +-- "#+1",(% )(#1$! (P$# "'$ T#(!! . !$1",(% +#$+ @ &,P$! "'$ "("+- !"#$!! +! U.V C WD E G !,&%$9 C !"#$!! ,! "'$ #+",( =$"F$$% "'$ $))$1" () "'$ ,%"$#%+- )(#1$ "( 1(##$!8(%9,%& +#$+ ?
  • 5. Saint-Venant’S PrinciPle 5 6'$ !"#$!! 9,!"#,=2",(% X (P$# "'$ 1#(!! ? !$1",(% ,! %(" $P$% +" !$1",(%! 1-(!$ "( +88-,$9 -(+9,%& ? S(F$P$# @ "'$ 9,!"#,=2",(% &$"! 2%,)(#>$9 F'$% "'$ !$1",(% 9,!"+%" )(#> "'$ YYYYYYYY55Z. 9,!"#,=2",(% ,! 2%,)(#> / / (P$# +-- !$1",(% 2!,%& +P$#+&$ !"#$!! P+-P$ O ; O [
  • 6. Components of Stress . 5 E11(#9,%& "( "'$ 9,#$1",(% . () "'$ +1",%& )(#1$ F,"' #$!8$1" "( "'$ 1(##$!8(%9,%& (%1$ @ "'$ !"#$!! ":8$ 1+% =$ 9$),%$9 +! ] 5 F'$% "'$ +1",%& )(#1$ ,! 8$#8$%9,12-+# "( "'$ +#$+ @ "'$ !"#$!! ,! %(#>+- (# +7,+- ^" #$! . . . ! E F_/ +1",%& )(#1$ ,! 8+#+--$- "( "'$ +,#$9 @ "'$ !"#$!! ,! !'$+# !"#$!! . E ) `'$% "'$ +1",%& )(# !$$ "#: ! "( "F,!" "'$ 1#(!! ? !$1",(% @ "'$ &$%$#+"$9 !"#$!! F,-- =$ 6(#!,(%+- !"#$!! :,%+?=$a:!12!!$-0+"$#:? . ?
  • 7. D7 ] T(>82"$ "'$ !"#$!! ;Q @ ,% #(9 E4 @ ,) WC "( >> b ; U ? ?1% ^(- ? S' 8$#P,(2! 1+-1 ? 6E4 C Vc?c dK /6 J +7,+- !"#$!! ,% e(9 E4 )+7f +) U C -=?1(ghK...3-3K.>>HG""8+J . .