Zadanie 4.pdf

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3U]\NáDG:\]QDF]DQLHSU]HPLHV]F]H ZXNáDG]LHVWDW\F]QLH
wyznaczalnym
:\]QDF]\üSU]HPLHV]F]HQLHVZRERGQHJRZ ]áDNUDWRZQLF\3U]HNURMHSU WyZLFKGáXJRFL
RUD]PRGXá<RXQJDRSLVDQHVQDU\VXQNX'RREOLF]HSU]\MüQDVWSXMFH]DOH*QRFL
A 1 =A, A 2 =2A, E 1 =E 2 =E.
2EOLF]HQLDSU]HSURZDG]LüGODQDVWSXMF\FKGDQ\FKOLF]ERZ\FK
P = 1000N,
A = 0.0001 m 2 ,
l = 1m ,
E = 2.1 10 11 Pa.
2l
l
l
A 1 , E
A 2 , E
P
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2. =SUDZD+RRFNHDREOLF]DP\ZDUWRFLZ\GáX*H
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l 1 = O , l 2 = O
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Zapiszemy teraz równania geometryczne F]\OLZ\GáX*HQLDSUWyZZ\UD*RQHSU]H]
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FRSRSRGVWDZLHQLXZDUWRFLIXQNFMLWU\JRQRPHWU\F]Q\FKNWyZ.
i sprowadza je do postaci:
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1. = UyZQD JHRPHWU\F]Q\FK Z\UD*DP\ Z\GáX*HQLD SRSU]H] VNáDGRZH ZHNWRUD
SU]HPLHV]F]HQLDZ]áD
2. =SUDZD+RRFNHDZ\UD*DP\VLá\]DSRPRFZ\GáX*HDSRGVWDZLDMFZ\QLNLS]D
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