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Transkrypt
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Maciej Zawidzki =DáR*HQLD : B30 stal (zbrojenie gáyZQH * EHWRQ VWDO VWU]HPLRQD $ 6W6 *HQLH FKDUDNWHU\VW\F]QH GáXJRWUZDáH ] FL *DUHP ZáDVQ\P REFL N1 J *HQLH FKDUDNWHU\VW\F]QH NUyWNRWUZDáH REFL S UHGQL ZVSyáF]\QQLN REFL*HQLD γ P N1 P 'DQH GRW\F] FH EHWRQX . Z\WU]\PDáRü JZDUDQWRZDQD I FFXEH Z\WU]\PDáRü FKDUDNWHU\VW\F]QD QD FLVNDQLH I QD UR]FLJDQLH I Z\WU]\PDáRü UHGQLD QD UR]FLJDQLH I . FN . . . Z\WU]\PDáRü REOLF]HQLRZD GOD NRQVWUXNFML *HOEHWRZ\FK L VSU *RQ\FK QD FLVNDQLH I QD UR]FLJDQLH I Z\WU]\PDáRü REOLF]HQLRZD GOD NRQVWUXNFML EHWRQRZ\FK QD FLVNDQLH I FG . FWG . PRGXá VSU *\VWRFL ( FG . FP 'DQH GRW\F]FH VWDOL ]EURMHQLRZHM *E üL VWDOL FKDUDNWHU\VW\F]QD I \N . REOLF]HQLRZD I \G . *UDQLFD SODVW\F]QR 2EOLF]HQLD 1. 'áXJRü HIHNW\ZQD O O O Q O HII HII = Q D D T = D D D 2 2EFL*HQLH T SU]\MPRZDQD GR REOLF]H J * ]PLHQQH UyZQRPLHUQLH UR]áR RQH S .γ [ N1 P ] [m] N1 P FWP [ FWN . ] 3. 0RPHQW ]JLQDMF\ 0 . T VG .O *HQLDPL REOLF]HQLRZ\PL Z\ZRáDQ\ REFL 0 HII VG = [ N1P ] =DáR*HQLD Z\PLDUyZ EHONL [m] Z\VRNRü EHONL K V]HURNRü EHONL E UHGQLFD SU WyZ ]EURMHQLD JáyZQHJR UHGQLFD VWU]HPLRQ φ G G 5. φ K = X*\WHF]QD SU]HNURMX VWU] E . VG . E G .φ *HEU I GR Z\PLDURZDQLD SU]HNURMyZ V E = V E ζ V SU]HNURMX ]EURMHQLD 0 $ *HOEHWRZ\FK FG z tablic otrzymujemy: 6. PROH P :VSyáF]\QQLNL 0 V VWU] 4. :\VRNRü φ *HEU VG ζ . G.I $ \G $ QD SRGVWDZLH REOLF]H V V = . = P FP SU]\MPXMHP\ LORü SU WyZ ]EURMHQLD JáyZQHJR ZJ QRUP\ $ V FP OLF]ED SU WyZ ]EURMHQLD JáyZQHJR Z\QRVL φ $ V . P 7. 6WRSLH ]EURMHQLD EHONL ρ $ V. F E.G ρ F = 8. 6LáD Z SU WDFK ]EURMHQLD ) V $ V. I \G ) V = N1 9. 2GNV]WDáFHQLD MHGQRVWNRZH VWDOL ( V N1 P ε FX ε V . FX I \G ε FX (V ε ε V = 10. 6WRSLH ]EURMHQLD SRGáX*QHJR GRFKRG]FHJR GR SRGSRU\ $ V . $ V = FP $ V $ V . P EZ E $ V ρF ρ F = E Z.G 11. :\WU]\PDáRü REOLF]HQLRZD QD γ Τ F ρ FLVNDQLH F I . . FWN 5G γF Τ 5G = 12. 5HDNFMH SRGSRURZH 5 $ T .O HII . 5 $ = N1 FLVNDQLH EH] ]EURMHQLD SRSU]HF]QHJR ] XZ]JO GQLHQLHP ]DNRWZLHQLD QD SRGSRU]H GZyFK UHGQLF φ 20. 13. 1RQRü REOLF]HQLRZD QD N 9 9 G N 5G 5G = .Τ = N 5G . .ρ .E F Z . G . N1 14. 5 F 9 $ T 5G F = P 15. 6LáD SRSU]HF]QD Z\ZRáDQD REFL*HQLHP REOLF]HQLRZ\P 9 VG T . G D 9 VG FWJ δ N1 I 9 FLVNDQLH SU]HNURMX HOHPHQWX EH] ]EURMHQLD 1R QR ü REOLF]HQLRZD QD I = FN . 9 = . ] 9 G ] . 9 I 5G FG = .E Z .] . FWJ ,, FWJ 9 δ 5G δ FWJ 9 δ 5G = N1 . 9 I FG .E Z .] . FWJ δ FWJ δ 9 5G = N1 ,,, $ V I . \ZG $ 17. VZ 9 5G 9 18. V = . ] .I 5G V 5R]VWDZ RVLRZ\ SU WyZ V P 9 . . VZ \ZG . FWJδ 9 5G = N1 ]EURMHQLD P VG 6WRSLH ]EURMHQLD warunek I 9 = VG ρ < N1 5G = N1 . G PD[ 0LQLPDOQ\ V PD[ = przyjm. s max 300 mm ]EURMHQLD VWRSLH ZPLQ dla φ 12 $ VZ $ V PD[ E Z VZ .ρ V \VRNRü . K Z K K : : 23. UHGQL N $ FHII = F = P P 2EOLF]DP FU Z 0 ZDUWR ü PRPHQWX .I F 0 FWP FU = U\VXMFHJR N1P NRFRZ\ UR]VWDZ U\V P Z\WU]\PDáR FL SU]HNURMX E.K F Z G 21. WVND(QLN : = PD[ ZPLQ 20. W K ZDUXQHN V 19. 9 N E. K Z $ FHII = P 0 FU VSHáQLRQ\ ρ V $ U $ V . N UP ρ = U FHII .N . φ *HEU ρ V UP = PP U 0 . J VG . S . O HII 0 = VG N1P ζ δ 0 . VG ζ . G.$ V δ V = 03D V β δ V. ε β β .β . VP ( 0 0 FU VG ε VP = PP V β Z Z 28 β .ε N = N VP .V UP 8JL FLH PP < $ F = E = P . N obwód przekroju K 1 D pole przekroju belki . 8 8 . E K F PP EHONL dla belki swobodnie podpartej: $ P . $ F = 8 2 ZLOJRWQRü 3 obc. po 28 dniach ( FP . 03D ( ( FHII FP φ *V]\FK ZDUXQNyZ Z\]QDF]DP ] QRUP\ NRFRZ\ ZVS SHá]DQLD EHWRQX φ ] SRZ\ π ( FHII = 03D ( H MPa -mod. spr. stali (H DH D = ( FHII H + K + = G $ V α D H. α = E.G . + α ξ ξ = + α ] ξ .G ] = 31 0RPHQW , + . . + , , , = α ξ , , $ ,, = P $ . $ α $ ξ ξ + . E . G P β .β . ξ = . E . G R ξ ( 34. α . % EH]ZáDGQR FL Z ID]LH ,, α . ,, ξ 32 0RPHQW $ EH]ZáDGQR FL Z ID]LH , FHII 0 0 ., FU ,, . , , VG ,, % R = , 8JL FLH EHONL D D N . 0 VG % R .O HII . D = P 01P