
halwat asalela bhaar

sanrachanatmak gatishastrat, halnara bhaar kalantarane jyaa binduvar bhaar lagoo keela jaato too bindu badalato. udaharananmadhye pulavarun pravas karnare vahan aanee rulavarun pravas karnari railway yancha samavesh hoto.
malmatta.
sanganakeey pratimanmadhye, bhaar samanyatah asha prakare lagoo keela jaato
halana bhaar samasyeche asankhya aitihasik punaravalokne astitvat aahet.
anek prakashne ashach samasyanshi nigadit aahet.
moolbhut monograph heey vastumanahin bharasathi samarpit aahe. sankhyatmak pratimanmadhil jadatviy bharache varnan yethe kele aahe 
string, timoshenko beam aanee mindlin platever pravas karananya vastuman kananchya gativar niyantran thevana vibhedak samikarananchya anpekshit gunadharmanche varnan yethe kele aahe. hii kalavadhichya shevati asalelya vastuman prakshepavajachi visangati aahe (stringmadhye "v" = 0.5 "c" vegane changle disate). halnara bhaar visthapan lakshaniyaritya vadhavato. abhiyantriki prakalpanmadhye visthapan vaadh sarvadhik aahe assa nirnayak veg vicharat ghene aavashyak aahe.
halanare bhaar vahoon nenanya sanrachananchi parimane maryadit asoo shakatat kinwa tee anant asoo shakatat aanee veloveli aadhar deu shakatat kinwa lavchik payavar thevu shakatat.
l", "cross-sectional eriya" a "," maas density ρ ", tensile force" n ", yaa lambichya saral samarthit stringcha vichar qaraa, jee sthir shakti" p "chya adheen aahe."
sthir vegane "v" halwat aahe. gatishil shaktikhalil tarchya gatee samikaranache eka swaroop aahe
saral samarthit stringchya konatyahi binduche visthapan sinus malikedware dile jaate
kuthe?
aanee taranchi naisargik golakar varanvarta
jadatviy halana bharachya babatit, vishleshanatmak upay adnyat aahet. gatiche samikaran halana bharachya jadatvashi sambandhit sandnyedvare vadhavale jaate. eka kendrit vastuman 'm' saha bindu bull 'p':
gananechya guntaguntimule, shevatchya sandnyekade anekada abhiyante durlaksh karatat. bhaar prabhav haah vastumanahin bhaar mudatiparyant qamee keela jaato. kadhikadhi ausilator sampark binduvar thewale jaate. asha paddhati keval pravasachya bhaar vegachya qamee shreneet swikarlya jaatat. uchch shreneet donhi prakarchya bharanchya babatit compananche pariman aanee varanvarta donhi lakshaniyaritya bhinn asatat.
vibhedak samikaran keval sadhya samasyansathi ardh-vishleshanatmak paddhatine sodavale jaau shakate. dravan nishchit karnari malika changlya prakare ekatra yete aanee vyavharat 2-3 sandnya puresha asatat. adhik jatil samasya maryadit ghatak paddhatidvare kinwa avkash-vel maryadit ghatak paddhatidvare sodavalya jaau shakatat.
timoshenko bimmadhye vastuman prakshepavakrachi visangati dekhil changlya prakare disate. uchch katarane kadakpana yaa ghatanevar jore deto.
halana jadatviy bharakhali vastumanahin string.
vastumanahin stringcha vichar qaraa, jee moving inertial loaded samasyeche eka vishisht prakaran aahe. hii samasya sodavnara smith haah pahila hota.
vishleshan frybachya dravanache anusaran karel. asey gruheet dharale
=0, halana vastumanakhali stringchya gatiche samikaran karoo shakate
khaleel formmadhye thewa
aapan saral-samarthit seema atty aanee shoonya prarambhik atty ladato. heey samikaran sodavanyasathi aapan convolution property vaparato. aapan stringche parimanahin visthapan gruheet dharato aanee
parimanahin velah
jethe ess. tii. heey madhyabhagi sthir vikshepan aahe
taar.
upay eka berijdware deela jaato
parimanahin mapdand kuthe aaheth
mapdand, aanee khalee dile aahet
= 1 chya babatit, vicharat ghetalelya samasyeche eka bund samadhan aaheh sootra _ 13