×
In order to succeed, we must first believe that we can.
--Your friends at LectureNotes
Close

Note for Advanced Mechanics of Solids - AMOS By Mona Louca

  • Advanced Mechanics of Solids - AMOS
  • Note
  • 4 Topics
  • 1121 Views
  • 28 Offline Downloads
  • Uploaded 3 months ago
0 User(s)
Download PDFOrder Printed Copy

Share it with your friends

Leave your Comments

Text from page-1

ÿ 34567ÿ89 6 3ÿ ÿ ÿ ÿÿÿ ÿ ÿÿÿ!ÿ"##!ÿ$ÿ!ÿ%#&&ÿÿ&ÿ!ÿ'&(ÿÿ )*!ÿ+*&($ÿ,-!$ÿ."ÿ/0012ÿ+"ÿ ÿ ÿ 3 ÿ*4ÿ3&-ÿ0556ÿ 7ÿ*4ÿ8-9(ÿ0/0/ÿ ÿ %:!-ÿ&4ÿ&&#4;;*!!9;;/<!<.<56<0/#!ÿ ÿ 7"=>ÿ38ÿ,3?7?7ÿ#*!!ÿÿ&ÿ&ÿ#$ÿ##ÿ2@A25ÿ ÿ ÿ 6 BC47D B64 ÿ ÿ ÿ 7ÿ##&ÿÿ&ÿ##ÿÿÿ&ÿ-9Eÿ&&ÿÿ*&(ÿ!*!!ÿ&ÿ &ÿFGHIJKLHMÿOPÿPQRLSMÿ!ÿ&ÿFGHIJKLHMÿOPÿMOQLSMÿÿ7ÿ&ÿ9-T&ÿÿ&ÿ!ÿHOKULKRRFÿ FGHIJKLHM$ÿ#&9(ÿ:ÿ:ÿ!#&ÿ&ÿ99ÿ!ÿÿ&&ÿÿ-ÿ&99(ÿ !*-$ÿEÿÿÿ&ÿ&ÿ!&ÿ&9&9ÿ&ÿ#ÿ&ÿÿ:ÿ-:ÿ &ÿÿ&ÿ##&ÿÿ#ÿÿ&&ÿÿVOQLSÿFGHIJKLHMÿÿ!ÿ:&ÿ&ÿ &$ÿ!&ÿ!ÿ9ÿÿ!ÿ&ÿ!ÿ&9&9ÿÿW&$ÿ&$ÿÿÿ!Xÿÿ"(ÿ &$ÿ9!ÿÿ!$ÿÿ9##&ÿKOYFJQÿÿ7ÿÿÿ!&!ÿ##!9$ÿÿ $ÿ&ÿÿ&ÿ#ÿÿ:ÿ&(ÿ&ÿÿ7ÿÿ#ÿ9&ÿÿÿÿ&&ÿ#ÿÿ !ÿ&ÿKOYFJQÿMUYGMMÿÿW&ÿ&ÿ&ÿ-ÿÿÿ#!$ÿÿÿÿ9&-ÿ&$ÿ&ÿ&ÿÿÿ ÿ$ÿEÿ&ÿ-ÿÿÿ9&$ÿ&ÿEÿÿÿ#9Z!ÿ#ÿ-$ÿÿ&&!ÿ 9--ÿ-!ÿ!ÿ&ÿ-ÿÿÿ9ÿÿ9##&ÿÿÿ&&ÿ:(ÿ[ÿ(ÿ:ÿ&ÿÿÿ #*\ÿÿWÿÿÿ&ÿMOQLSÿ&ÿ&ÿPQRLSÿÿ&ÿÿÿ9##&ÿÿ9-&&ÿ MIGJYLK]ÿPOYHGÿ*ÿ&ÿ&ÿÿÿÿ&9ÿ#ÿÿ&ÿ##&ÿÿ &&ÿÿÿÿÿ!&!ÿ#$ÿ&ÿ&ÿ##!9$ÿ&ÿ&ÿ&ÿ9ÿ ÿ:ÿ&(ÿ&^ÿ&ÿÿ#ÿ9&ÿÿÿÿ!ÿMIGJYÿMUYGMM_ÿÿ8ÿ`#$ÿ!ÿÿ 0ÿ

Text from page-2

23456789ÿ 3589ÿ4 ÿ585ÿ6ÿ63 ÿ5 ÿ8ÿ 45ÿ85ÿ65ÿ34ÿ3 ÿ8 ÿ8ÿ8ÿ365ÿ855873 ÿ85ÿ65ÿ9 34ÿ 3 ÿÿÿ3ÿ7 6 34ÿ8ÿ 46 589ÿ4873ÿ54 ÿ53ÿ 8534689ÿ ÿ53ÿ4 ÿ65ÿ699ÿ3ÿ326 35ÿ585ÿ 53ÿ4 ÿ 45ÿ 4 89ÿ543ÿÿ5ÿ65ÿ89 ÿ 45ÿ384ÿ543ÿ8 ÿ585ÿ37 3ÿ326 35ÿ3ÿ 3ÿ7 6 34ÿ53ÿ 473ÿ784463 ÿ874 ÿ8ÿ983ÿ54 ÿ53ÿ4 ÿ585ÿ6ÿ36534ÿ 46 589ÿ 4ÿ 23456789ÿÿÿ693ÿ8534ÿ8 ÿ864ÿ4 26 3ÿ ÿ9 ÿ534 ÿ 45ÿ ÿ384ÿ543ÿ 4 899ÿ 48653ÿ5339ÿ8 ÿ434ÿ ÿ ÿ8 ÿ843ÿ78993 ÿ 96 ÿÿ8534689ÿ65ÿ5659ÿ  ÿ85 ÿ 4ÿ 93793ÿ963ÿ53ÿ74589ÿ 4 3 ÿ39 ÿ 3956ÿ53 348543ÿÿ 5ÿ5873ÿ 4ÿ6 93ÿ 7   ÿ 4ÿ53ÿ8 4 ÿ547543ÿ 4 3 ÿ6ÿ98ÿ8 ÿ 8ÿ 9 34ÿ5873ÿ85ÿ 676359ÿ9 ÿ53 348543ÿ843ÿ899ÿ7 6 343 ÿ 96 ÿ ÿ ÿ 3ÿ 656756 ÿ3533ÿ 96 ÿ8 ÿ96 ÿ6ÿ 5ÿ43763ÿ8 ÿ6ÿ 8ÿ783ÿ699ÿ 33 ÿ ÿ53ÿ 56 3ÿ7893ÿÿ! 6 34ÿ53ÿ 5ÿ4 7ÿ ÿ53ÿ"845#ÿ 8593ÿÿ$3ÿ8ÿ9843ÿ3845%83ÿ 774ÿ8ÿ 8 76853 ÿ 3 4 856 ÿ 654873ÿ78993 ÿ8ÿ36 67ÿ823ÿ4 8853ÿ54 ÿ53ÿ8 &8735ÿ4 7ÿ 8 ÿ53ÿ 93ÿ3845ÿ6ÿ35ÿ65 ÿ264856 ÿ67ÿ 99 6ÿ8ÿ676359ÿ9843ÿ3845%83ÿ 8ÿ 43 86ÿ 35375893ÿ65ÿ43763ÿ654 35ÿ 4ÿ323489ÿ33ÿÿ$3ÿ 9 ÿ53ÿ 37463ÿ53ÿ4 7ÿ ÿ53ÿ 8593ÿ8ÿ 96 ÿÿ' ÿ 9 ÿ3ÿ ÿ53ÿ56 3ÿ7893ÿ ÿ8ÿ53ÿ5 ÿ5 8 ÿ ÿ384ÿ 234ÿ 67ÿ5433ÿ4369 ÿ3 ÿ6ÿ53ÿ 473ÿ436 ÿ5 ÿ783ÿ 3ÿ 4ÿ8ÿ3ÿ4335656 ÿ ÿ53ÿ 3845%83ÿÿ5ÿ ÿ8ÿ6667859ÿ9 34ÿ56 3ÿ7893ÿ8ÿ ÿ 4 34ÿ ÿ8ÿ 6996 ÿ384ÿ53ÿ 5ÿ 4 7ÿ ÿ53ÿ 8593ÿ843ÿ893ÿ5 ÿ 45ÿ3846ÿ5433ÿ8 ÿ9 ÿ8ÿ8ÿ96 ÿÿ(9 ÿ 8ÿ 769 43ÿ699ÿ3ÿ8 69684ÿ65ÿ8ÿ5873ÿ78993 ÿ)*++,ÿ./00,ÿ8ÿ 9 3463 ÿ6967 3ÿ39ÿÿÿ8ÿ899ÿ ÿ65ÿ6ÿ935ÿ5 ÿ65ÿ ÿ8ÿ5893ÿ85ÿ4 ÿ53 348543ÿ65ÿ9 ÿ8 ÿ98553ÿ ÿ8ÿ56 3ÿ7893ÿ ÿ8ÿ3ÿ 653ÿ5 ÿ8ÿ 4ÿÿ5ÿ6ÿ673 ÿÿ8 ÿ5 3 ÿ8ÿ8ÿ899ÿ8865ÿ8ÿ899ÿ ÿ585ÿ9843ÿ 473ÿ875ÿ 9ÿ 234ÿ53ÿ 45ÿ56 3ÿ ÿ53ÿ6 875ÿ65ÿ 73ÿ87ÿ8 ÿ43586ÿ65ÿ83ÿ963ÿ8ÿ69ÿ398567ÿ  96 ÿÿ ÿ ÿ ÿ53ÿ6 93ÿ5ÿ234ÿ7 ÿ783ÿ3ÿ7ÿ8ÿ 8534689ÿ6ÿ9 8 3 ÿ85ÿ676359ÿ9 ÿ 53 348543ÿ8 1 4ÿ 45ÿ56 3ÿ7893ÿ8 ÿ65ÿ676359ÿ96 653 ÿ543ÿ 865 3ÿ65ÿ 3 4 856 ÿ6ÿ99ÿ437 2343 ÿ ÿ9 8 6ÿÿ$3ÿ53ÿ8ÿ585ÿ53ÿ 8534689ÿ6ÿ2+3)0*4ÿÿ5ÿ 5873ÿ78ÿ89 ÿ 3 4 ÿ34 8359ÿ ÿ585ÿ 5ÿ899ÿ 3 4 856 ÿ6ÿ437 2343 ÿÿ5 4ÿ38 93ÿ 6ÿ ÿ3 ÿ8ÿ 3589ÿ7 85ÿ834ÿ5856899ÿ8 ÿ53ÿ439383ÿ53ÿ9 8 6ÿ65ÿ46ÿ87ÿ 9ÿ 8456899ÿ5 84 ÿ65ÿ665689ÿ83ÿ5ÿ 3ÿ 5ÿ99ÿ437 234ÿ8 ÿ43 86ÿ35ÿÿ$3ÿ8ÿ585ÿ53ÿ 3589ÿ ÿ53ÿ7 85ÿ834ÿ8ÿ33ÿ34 8359ÿ 3 4 3 ÿ8 ÿ6ÿ56ÿ783ÿ 4ÿ67ÿ53ÿ 34 835ÿ 3 4 856 ÿ6ÿ 5ÿ ÿ 7ÿ8ÿ7 3%373ÿ ÿ9 ÿ56 3ÿ9 8 6ÿ85ÿ676359ÿ6ÿ 53 348543ÿ5ÿ 43ÿ8ÿ7 3%373ÿ ÿ&3756ÿ53ÿ 8534689ÿ5 ÿ9843ÿ5433ÿ68 23ÿ53ÿ639 ÿ 5437ÿ3ÿ 37463ÿ53ÿ34 835ÿ 3 4 856 ÿ8ÿ.+3)0*4ÿ 3 4 856 ÿ8 ÿ7899ÿ53ÿ 8534689ÿ 0ÿ

Text from page-3

23456789 345678 ÿÿ ÿÿÿÿÿÿÿÿÿÿÿÿÿÿ ÿÿÿÿÿÿ!ÿ"ÿÿÿÿÿÿ#758$%5ÿÿ8&22 ÿ ÿÿÿ"ÿ'ÿÿÿ"ÿÿÿÿÿÿÿ ÿ#758$2345678ÿÿ(ÿÿ#758$9 345678ÿÿ"ÿ"ÿÿÿÿÿ ÿÿÿÿÿÿÿÿ)ÿÿÿÿ!* ÿ ÿ ÿ +,$ÿ%525ÿ5$37.ÿ/28,407851ÿÿ2ÿÿ"ÿ3ÿÿÿÿÿ))!ÿ ÿ!ÿÿ"ÿÿÿÿÿÿÿÿ"ÿ"ÿ)ÿ3"!ÿ ÿÿÿÿ)ÿÿ)!ÿÿÿ ÿÿ'4)ÿ)ÿÿ ÿÿ ÿÿ5ÿÿ)ÿÿÿÿÿÿÿ!!ÿÿÿ ÿÿ'ÿÿÿÿÿ)ÿ'ÿ)ÿ)ÿ'ÿ!!ÿ ÿÿÿÿ"ÿÿÿÿ)ÿÿÿ !! ÿÿ6ÿÿ))!ÿÿÿÿÿÿ!!ÿ!ÿ ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ '!ÿÿ! ÿÿ7ÿ'ÿÿÿÿ!!ÿÿÿ ÿ'ÿÿ(ÿ"ÿÿÿ*ÿÿ!ÿ'ÿÿÿÿÿ ÿÿÿÿÿ"ÿÿÿ8ÿÿ"ÿ ÿ8ÿÿ!ÿÿÿÿÿ' ÿ ÿ ÿ 9ÿÿÿ!ÿÿÿÿÿÿÿ!ÿÿÿ:ÿÿ9"ÿÿ "ÿ)ÿÿÿ;ÿÿÿÿÿÿ)ÿÿÿÿÿ"ÿ 'ÿ'ÿ1ÿÿ9"ÿÿÿ1ÿÿ<ÿÿ3ÿÿ!ÿÿÿ !ÿÿ83ÿÿ"ÿÿÿ!ÿ'ÿ!ÿ!ÿÿÿÿ ÿ")ÿÿ3ÿÿÿÿ'!ÿÿ'!1ÿÿ9"ÿÿÿ  1ÿÿ9"ÿÿÿÿÿÿÿÿÿ"ÿÿÿ"ÿÿÿÿ'!ÿ ÿ"ÿÿ!ÿÿÿ'!ÿÿÿÿÿÿÿ3ÿÿ"ÿ!ÿ 1ÿÿ<ÿÿÿ"ÿÿÿ"ÿÿ"ÿÿÿÿÿÿÿÿ !ÿÿ3ÿÿ'ÿ'ÿÿÿÿ"ÿÿ'!ÿ ÿ'!ÿÿÿÿ))ÿÿÿÿÿÿ3ÿÿÿÿ 4ÿ!ÿÿ'ÿÿÿ31ÿÿ9"ÿÿ)ÿ(ÿÿ*ÿÿ'ÿ )'ÿÿÿ!ÿÿÿÿÿ!ÿ"ÿÿ)ÿÿ"ÿÿ)'ÿ ÿÿÿÿÿÿÿ!ÿ!ÿ1ÿÿ9"ÿÿÿÿ 3ÿ!"ÿÿÿÿÿÿ"ÿÿ'!ÿ!ÿÿÿ"!ÿÿ !ÿÿ"ÿ"ÿÿ!ÿ1ÿÿ9"ÿÿ"ÿÿÿ'ÿÿ ÿ!ÿÿÿÿÿ!ÿÿ"ÿÿ)1ÿÿ9"ÿÿ"ÿÿÿ 0ÿ

Text from page-4

234567389ÿ3 ÿ 6 49ÿÿ6ÿ45 8738ÿ7787347 ÿ5ÿÿ546 7 ÿ254389ÿ6ÿ 82569ÿ 46ÿ 759ÿ6887 ÿ23456738ÿ7 4ÿ95549ÿ  7 ÿ4ÿ2 85ÿ93 59ÿ54ÿÿÿ34ÿ 2769 7ÿ 659959ÿ ÿ 83947ÿ3 ÿ655 ÿ94637 9ÿ6ÿ7 ÿ 8694389ÿÿÿ3 ÿ5ÿ397 ÿ 7565 4ÿ234567389ÿ45456ÿ875ÿ7 ÿ756ÿ657 65 ÿ2 97459ÿ4ÿ3755ÿ27 347 9ÿÿ 947 599ÿ3 ÿ9465 4ÿ 55 5 ÿ7 ÿ3 87347 9ÿÿ 34ÿ79ÿ45ÿ27 347 ÿÿ23456738ÿ 6 564759ÿ3 ÿ 56388ÿ659  95ÿ 55 5 ÿ7 ÿ  788ÿ979ÿ6ÿ7 ÿ3ÿ45 79ÿ6354ÿÿÿ 59ÿ45ÿ23 ÿ988ÿ 659  ÿ4ÿ72 34ÿ7 ÿ3 ÿ37 5 4ÿÿÿ ÿ5364ÿ29859ÿ 468ÿ45ÿ 2 7 ÿÿ8 ÿ7 ÿ45ÿ 23 ÿ ÿ3 ÿ34ÿ59ÿ6 ÿ5 ÿ3 ÿ3 5692ÿ 558 9ÿ ÿ ÿ !"#$%&"'()ÿ#+,$'!ÿ ÿ ÿ -87 ÿ253 79ÿ 558 5 ÿ7 ÿ45ÿ4 67 ÿÿ2345234738ÿ3 ÿ 9738ÿ94 759ÿ887 ÿ 45ÿ6534ÿ375525 4ÿÿ.933ÿ/54 ÿ01203415356ÿ7 ÿ94347 ÿ45ÿ839ÿÿ247 ÿ384ÿ74ÿ39ÿ 5368756ÿ649ÿÿ75ÿ 55 ÿ4ÿ 56943 ÿ3 ÿ 468ÿ45ÿ63465ÿÿ987 9ÿ95529ÿ4ÿ35ÿ55 ÿ3ÿ7694ÿ 247347 ÿÿ85 36 ÿ 3ÿ97 7ÿ010:341:1;6ÿ9545 ÿ7 ÿ79ÿ 459ÿ3ÿ 99785ÿ4594ÿÿ45ÿ 45 9785ÿ9465 4ÿÿ3ÿ765ÿÿ75ÿ.43873 ÿ5 56725 438ÿ975 4794ÿ<38785ÿ<387857ÿ01:20412036ÿÿ 75 ÿ7 ÿ45ÿ536ÿÿ/54 =9ÿ764ÿ3 ÿ7 5947345 ÿ45ÿ6537 ÿ83 9ÿÿ6 9ÿ7 ÿ45 97 ÿ3 ÿ  8 5 ÿ434ÿ45ÿ83 ÿ39ÿ7 5 5 5 4ÿÿ85 4ÿ3 ÿ 6 647 38ÿ4ÿ45ÿ699ÿ9547 ÿ3653ÿ479ÿ 57 ÿ3ÿ7694ÿ945 ÿ436 9ÿ3ÿ 5 4ÿÿ946599ÿÿ5ÿ389ÿ7 5947345 ÿÿ45ÿ6537 ÿÿ53ÿ 94 5ÿ82 9ÿ837 ÿ67 4388ÿ7 ÿ94635ÿ39ÿ5329ÿ 5 5 5 ÿ ÿ45ÿ 256ÿ3 ÿ 747 ÿÿ 4576ÿ9 649ÿ ÿ ÿ >?@ABCDEÿ?GÿEDHBEEIÿEDHJK@ÿJ@LÿBMJEDKAKDNOÿÿ75ÿP 879ÿ975 4794ÿQ564ÿ5ÿ 79565 ÿ7 ÿ 122Rÿ4ÿ 8795 ÿ 8ÿ7 ÿ125Sÿ45ÿ956347 ÿ434ÿ6ÿ23 ÿ234567389ÿ434ÿ 79 83525 4ÿ  56ÿ3ÿ83 ÿ39ÿ 6 647 38ÿ4ÿ65ÿ49ÿ59438797 ÿ45ÿ 47 ÿÿ087 5366ÿ58394774ÿ4ÿ 4ÿ 54ÿ7 ÿ3ÿ3ÿ434ÿ39ÿ5 6599785ÿ7 ÿ45629ÿÿ946599ÿ3 ÿ94637 ÿÿPÿT367445ÿ7 ÿU63 5ÿ 8795 ÿ 9727836ÿ 7956759ÿ7 ÿ12SRÿ3 ÿ389ÿ6535 ÿ3 ÿ 56943 7 ÿÿÿ5329ÿ875ÿ495ÿ94 75 ÿ ÿ<38785ÿ6597945 ÿ463 95695ÿ83 7 9ÿ6ÿ265ÿ 657958ÿ659794ÿ45ÿ46V59ÿ395 ÿÿ495ÿ 463 95695ÿ83 7 9ÿÿ 558 7 ÿ545 97 38ÿ3 ÿ2 65997 38ÿ 562347 9ÿ659 54758ÿ7 ÿ 23456738ÿ7569ÿ38 ÿ4576ÿ 56ÿ3 ÿ856ÿ 647 9ÿÿ.4ÿ39ÿ6ÿ-799ÿ2345234773 ÿ3 ÿ 253 773 ÿW3259ÿ56 887ÿ012:0415R:6ÿ4ÿ9565ÿ7 ÿ45ÿ7 38ÿ 3 56ÿÿ79ÿ875ÿ7 ÿ15R:ÿ434ÿ 45ÿ 6 56ÿ3ÿÿ 59677 ÿ 562347 ÿ39ÿ4ÿ75ÿ65ÿ 56ÿ 74ÿ3653ÿ6ÿ946599ÿ39ÿ3ÿ 47 ÿ ÿ45ÿ58 347 ÿ 56ÿ 74ÿ85 4ÿ6ÿ94637 ÿÿ3ÿ23456738ÿ756ÿ 56ÿ45 97 ÿÿ-799ÿ 2345234773 ÿ3 ÿ253 773 ÿ85 36 ÿP856ÿ015R5415SX6ÿÿ39ÿ434ÿ234523479ÿÿ 0ÿ

Lecture Notes