Belka wolnopodparta ze wspornikiem.pdf

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3U]\NáDG%HONDZROQRSRGSDUWD]HZVSRUQLNLHP
3ROHFHQLHZ\]QDF]\üUHDNFMHSRGSRURZHGODSRQL * V]HMEHONLREFL * RQHMREFL * HQLHP
FL Já\PRVWDá\PQDW * HQLX
q RUD]VLá VNXSLRQ P = ql .
q
P = ql
4 l
l
l
Przyjmujemy oznaczenia podpór: A i B .
q
P = ql
A
B
4 l
l
l
5R]ZL ]\ZDQLH]DGDQLDUR]SRF]\QDP\RGRVZRERG]HQLDEHONLRGZL ]yZ]DVW SXM F
SRGSRU\ UHDNFMDPL/HZD SRGSRUD R]QDF]RQD OLWHU
A MHVW SRGSRU SU]HJXERZ
A G]LDáDM GZLHQLH]DOH * QHRGVLHELHVNáDGRZHUHDNFML
pionowa V A i pozioma H A 3UDZDSRGSRUDR]QDF]RQDOLWHU B MHVWSRGSRU SU]HJXERZ
SU]HVXZQ :SXQNFLH
QLHSU]HVXZQ =DWHPZSXQNFLH
B Z\VW SXMH UHDNFMD R B NWyUHM OLQLDG]LDáDQLD MHVWSLRQRZD
SURVWRSDGáDGRNLHUXQNXPR * OLZHJRSU]HVXZX:FHOXXSURV]F]HQLD]DSLVXUyZQD
q VLáZ\SDGNRZNWyUHMNLHUXQHNL]ZURWMHVW
]JRGQ\]NLHUXQNLHPL]ZURWHPREFL*HQLDFLJáHJR:DUWRüZ\SDGNRZHMMHVWUyZQDSROX
ILJXU\SRGZ\NUHVHPUR]NáDGXQDW*HQLDREFL*HQLDFLJáHJRQDWRPLDVWOLQLDG]LDáDQLDVLá\
Z\SDGNRZHMSU]HFKRG]LSU]H]URGHNFL*NRFLWHMILJXU\:UR]SDWU\ZDQ\PSU]\NáDG]LHVLáD
wypadkowa jest równa W = q  l = 4 ql 2GOHJáRüOLQLLG]LDáDQLDZ\SDGNRZHMRGSRGSRU\ A
wynosi 2 l .
W = 4 ql
P = ql
y
A
B
H A
V A
R B
x
2 l
3 l
l
%HONDREFL*RQDMHVWGZLHPDVLáDPL]HZQWU]Q\PLNWyU\FKZLHONRFLV]QDQHR]QDF]RQ\PL
NRORUHPF]DUQ\PRUD]WU]HPDUHDNFMDPLR]QDF]RQ\PLNRORUHPSRPDUDF]RZ\P1LH]QDQH
ZDUWRFLUHDNFMLZ\]QDF]\P\]WU]HFKUyZQDUyZQRZDJLGODSáDVNLHJRGRZROQHJRXNáDGX
VLá=DSLV]HP\GZDUyZQDQLDU]XWyZVLáQDRVLHXNáDGXZVSyáU]GQ\FKRUD]UyZQDQLH
A
lub B /LQLHG]LDáDQLDUHDNFML V A i H A SU]HFKRG]SU]H]SXQNW A , zatem te niewiadome nie
Z\VWSLZUyZQDQLXPRPHQWyZZ]JOGHPSXQNWX
A PRPHQWVLá\Z]JOGHPSXQNWX
OH*FHJRQDOLQLLG]LDáDQLDWHMVLá\MHVWUyZQ\]HUX:WDN]DSLVDQ\PUyZQDQLXZ\VWSLW\ONR
jedna niewiadoma R B 3RGREQLHZUyZQDQLXPRPHQWyZZ]JOGHPSXQNWX B QLHZ\VWSLá\E\
UyZQRZDJL]DVWSLP\REFL*HQLHFLJáH
PRPHQWyZ2VWDWQLH]Z\PLHQLRQ\FKUyZQDQDMNRU]\VWQLHMMHVW]DSLVDüZ]JOGHPSXQNWX
89765478.009.png 89765478.010.png 89765478.011.png 89765478.012.png 89765478.001.png 89765478.002.png
reakcje R B i H A JG\*LFKOLQLHG]LDáDQLDSU]HFKRG]SU]H]SXQNW B .RU]\VWDMF]WHJR
UyZQDQLDPR*QDE\Z\]QDF]\üUHDNFM
V A .
14 ql = 2,8 ql
å i
M
iA
=
0
: R B Â l í W Â l í P Â l = 0
Þ
R B =
5
:QDVWSQ\PUyZQDQLXUyZQRZDJLNRU]\VWDP\]Z\]QDF]RQHMZDUWRFLUHDNFML
R B .
11 ql = 2,2 ql
å i
P
iy
=
0
: V A + R B í W í P = 0 Þ V A =
5
=UyZQDQLDU]XWyZVLáQDRSR]LRPZ\]QDF]DP\QLHZLDGRP
H A .
å i
P
=
0
: H A = 0
:FHOXVSUDZG]HQLDSRSUDZQRFLZ\NRQDQ\FKREOLF]H]DSLV]HP\UyZQDQLHUyZQRZDJL]
NWyUHJRZF]HQLHMQLHNRU]\VWDOLP\
W = 4 ql
P = ql
A
B
H A = 0
V A = 2,2 ql
R B = 2,8 ql
2 l
3 l
l
å i
M
iB
=
0
: W  l í P  l í V A  l = 4 ql  l í ql  l í ql  l = 12 ql 2 í ql 2 í ql 2 = 0
5yZQDQLHVSHáQLRQHMHVWWR*VDPRFLRZR
2
ix
89765478.003.png 89765478.004.png 89765478.005.png 89765478.006.png 89765478.007.png 89765478.008.png
Zgłoś jeśli naruszono regulamin