吉林大学材料力学课程设计车床主轴7.4-Ⅱ-9(3)

2019-01-18 22:18

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


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