{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

hw_4_solu

# hw_4_solu - 5 We represent the shape functions in terms of...

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 5'! We represent the shape functions in terms of the products of linear functions. We select the functions such that their product will produce a value of unity at the given node and a value of zero at other nodes. Ni(x)=C(x-xj)(x-xk)(x-XI) Ni(x) = c(x—%j[x—2?I)(x—l) Ni(0)=1 C(0—é)[O—%J(0—l)=l —9 c: 213 Nk(x)=c(x—xi)(x——xj)(x—x,) Nk(x)=c(x—O)[x—%J(x—I) ngjzl c£%ll%—éJ£%—IJ=I c: 213 Nk(x) = ‘22; x [x—é)(x—l) [VJ-()5)=c(x_xi)(x_xk)(x“x1) Nj(x)=c(x—0)[x—%)(x—l) C E 213 27 21 Nj(x)= 213 x(x—?)(x—I) N,(x) = c(x—x,.)(x.—xj)(x—xk) N,(x) =c(x—o)[x_1)(x_aj 3 3 N,(l) =1 l 21 c(l—0)[l—§)[l—?J—l 9 C = 213 N,(x) = 2913 x[x—é](x—%) (4‘ "5r ‘3 l4 A); - (fr-aw par/flap» 7h”, = “inky—550m : / +4 :ich 1,; 2. "' “32 am m n ( u(f).—Al;u;+djuj‘+dkuk ’0‘): act) = r; fU—HCU + {1.5953 4 3:; (gym) w‘x Sum) : —g(é)(~£)m +( ‘5ij 4 {(éKéxa) ., -J, 0' 9 , .«7 ‘ M443: w“? ,7‘: ’ {=3 (“(05) " égY’D'b-W and 1,6525 waml M .‘W c) = 33» DC: 9 (I 6 Amg=E(Yv£ : W.» 90‘ :J u, + ﬂuf+ ggiuk) ,2; , 2. ,2, , , . z - L 2%}; 113:2)“; ¢§u§ a} ﬁgggggqu E :[(’§*§)"i '23”? ‘6’?)‘391 ‘%" xo‘xé =[(~§+§)(23 ~2 ?(>’J* (1% ‘4’)3] ’23,}, £1311 104x € (4;): ~ «EJJLJOJ ‘ 2(‘zl)(b~)+fé" (— >’+3")(21 (5) '5=£&.1 “J unaaéaj xJ- t .T. = {MAX = ’éI—éf(l~f)dj x I ’ u} I. = «:1 {é-é-r-é-taw] xk 1 (m m I: J N.‘JX=J(-°f-D<1'i—.)dm x. 1 1 = j; {Winn-1H“ = jjuth-slném 0 N°+ea how much easier?! was J" eva\ua:\'e, 1 “Skis hid-arc“ Ana lac-ﬂ Coori§nu+es. 2 no‘l‘e jzif-l J¢=dxzi In 1 M W.) + Mum H.452) = * 1% (1-3)] ,= -33. [(-0-5‘7735'02 £901: 9.97735-och)] MU.) = “'23-‘7‘70‘701 “C(51) = "-2- [Sz‘éi-SIU Pig [0677359161 (1- o-S’WBs'ozcﬁﬂ “((3‘) = "O- 0610042371 I g (1X0. zL-ac'n €01 ) + (I) (—0- 041004 li‘be) ool£6666667427 ([22: I [IS I.ng 4 (d) 7"! mun-J? in evac-f Lia. fag:th £3549ch A; uﬁﬁ’ﬁﬁu’twd 9rd" J1: Z. uv-Q-(JIQ-Jn-‘WL lln}ar'¢+'1 624.412 ﬁﬁj P‘ﬁv) ,1 unlar kc3( It —~ (2M4) ar‘ (5.5, ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 4

hw_4_solu - 5 We represent the shape functions in terms of...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online