Mc1?2?0.12=0.08 3?2?1204.26?0.15?180.64
Mc2?3?1??0.12=0.06
21?0.15??1575.00?1204.26??27.81 2Mc3?313?0.12=0.04
fEy??iMci139.62??M??M??M??1c12c23c3EIEIEI i?1??
1?1??0.58?769.74?223.22
2Mc1?2?0.12=0.083
?2?769.74?0.15?115.46
Mc2?1?0.12=0.06 2 11
?3?
1?0.15??840.00?769.74??5.27 2Mc31??0.12=0.04
3fDz???2Ey?iMci124.83???1Mc1??2Mc2??3Mc3??EIEIEIi?13??fE?f?f2Ez46.75??[fE]?3.5?10-4mEI
E?210?109Pa
I??644D4(1??4)?0.04D4
?D46.75?210?109?0.04?3.5?10?4
?D3?6.30?10?2m下:
3) 根据C点刚度计算轴径,在C点处加一单位力偶,有弯矩图如
?1
1??0.58?1204.26?349.24212
?2?1204.26?0.15?180.64
?31??0.15??1575.00?1204.26??27.812
Mc1?Mc2?Mc3?1
?cy??iMci1557.69??M??M??M??1c12c23c3EIEIEI i?13??
1?1??0.58?769.74?223.22
2?2?769.74?0.15?115.46
1?3??0.15??840.00?769.74??5.27
2Mc1?Mc2?Mc3?1
?cz?iMci1343.95??????1Mc1??2Mc2??3Mc3??EIEIEI i?13???c??cy??cz?22655.22EI?[?c]?0.0028rad
E?210?109Pa
13
I??644D4(1??4)?0.04D4
?D655.22?210?109?0.04?0.0028
?D4?7.27?10?2m综上所述:D?maxD1,D2,D3,D4?
??7.67?10?2m
?2当D?7.67?10m时,计算B点的实际位移:(应用图乘法)
?1?Mc110.18?0.18??1204.26?33.6420.58
2??0.14=0.093 3?2?0.18?1204.26??0.58-0.18??149.49 0.58Mc2?31???0.14?0.04?=0.09 21???0.58-0.18??2??0.18??1204.26?0.58?1204.26???166.10??Mc3?1??0.14?0.04??0.04=0.073 314
?4?1204.26?0.15?180.64
Mc41??0.04=0.02 21?0.15??1575?1204.26??27.81 21?0.04=0.013 35?5?Mc5?fBy?iMci130.89????1Mc1??2Mc2??3Mc3??4Mc4??5Mc5?EIEIEIi?1??
10.18?1??0.18??769.74?21.5020.58 Mc1?2?0.14=0.093 3?2?0.18?769.74??0.58-0.18??95.55 0.58Mc21???0.14?0.04?=0.09 21?3???0.58-0.18??2
??0.18??769.74?0.58?769.74???106.17??
15