CIVE 310 Lecture 3, Fall 2011

. Consider a a. Jar. AB a ‘erase. sectional +-Area, A ond. length Le, subjected . fed . Lbaxial bad P.. . , 2) Og a anal Axial. deforamahian. Clete a aa a Azad dtmin. could. be tesla. Or: COMPUESSI VE... - Coinilar-te shess., bis _ - pempressed. sie. Now, 5 OV gy, fen. on Simply. without. units. Tt may. ako be expressed... 246. ; Abs .E-=-0002 _.=--.0,2.%- Strain. ctl sin created 2 in mm pinta, a cent ani. ly as coe amen onl me Special electranite.... 4 oie. are mae CL. measure...asial. dtrain., such as senla Gg . Lor extensomelers.,— 0 & Moad— Deformateo72 Guve CRA) Milddteel Set A) Set CB) * Same. Length k mid berval __ but differnE Areos P eSame. Area. and flaterial, . but different Lengths ge Stress Strain Curve (06) Mild Steel Stress = ze ese . 0 Chetan) S ’ Great Eg 0Gka. » Lelertical gor Specimen 1,2,%3 © -Eegyeq)= 200 GEA. From. Set A KB. « En 124 GBs. : € Strain, €= > Zlasbhe Flastic Behawer => O= Bee p> Pak. & A= PL) o BAw = 4, 4 Slo si Coe) CPD) : | By inspeckion @ ‘fe(d€) curve.,, the. asl “nikal park ¢s. Minear. until g seldiag - af matrvial a ae i => fr. hall tabuitesmal. defamation. a z= cbs LE. _£..+3_conshant. for. — piel n tables). Normal Fores Diag mm ~ ano NERD) cote ee Axial 1 a ees mo Siapecoamonee gene Geen seep oe ae Dep the Ue Aims gf (88) Bom (00). Soe = 107} 05 (200 - 0.375 (1000) +. 0.251500} =¢ “gine QB byo= Z Bh aa Ce *OeLr 7 =-ASO.MPFo . . . kenT . -* Oca = + 50 =p 00025. * _— = 425 MPR. Strains. a re oo = Ly_lh = 7c ty « den of €- desgram. between A and B. = muy l, = A "Aree. CAB) 4 Area CBC) + Flea, CCD) . = 10°? [0.25 C800) — 0:75 (2000) 4. 01251000) ] = ae um. OR 4 Fk . Reduction tel EA; (% | Bh xemple: iw Varcable Axial Force Reo. i Determine the avflection of tree end B of clastic. bar- OB caused “4 tts own. weight Ww Yin. The constant evosstechional area ts A. . Assvme that (E213 constant, iu Fe= w(x)... represents effect of the. truncated. seqmenb . oa Dye j# adn. E and Aart canstants . x x boo _— ERS we(L-x).dx = fpiwllx- 2). a A Be Lyn of 2 ”“clegree Tara bola. 4, at Xso...(at pt. O) = A,=0 L i | , . _ 4 _ Ww v » at el Cat pt TB) > An = Us = of (bx d} o = Me fA But wl we otal wet. e the bar . eee WL alt, 2EA 2EA Aumerical exaimp te. Assume L=2m, ercular. cross section Dato”, Material és Concrete. . Onerete => E=20 GR, % =2.5 f/m... (anit ee feoncret_) . A= Ze. % Ze = 9.12566m. 1. B= 0.314164 10% 2.0-09.81 we "Voom B= 266 (0uI25U) =. o.3IHIG Ym. I 2 20 nO, x 02566 i 0.2450:410 4n = "2 HBqhim 7 OR, We Xeonc * CAxL) = 0.6293 tons . , ae VERY SILL. Adon), Aaving P= 60.kN- 3... 3000 weg. ....5- -F= 200.6 = 20n.kN. mm (% - eet - thes Lhearea. vai bre rod.