若采用 Tresca屈服条件,则有:
2qrqr故得:?s?; 或:?s?;
t2t若采用mises屈服条件,则有:
?max??s??s??1??32?????r2?qr; 2t2?s2?6?s2???1??2????2??3????3??1?
??????z????z??r????r????
22?qrqr??qr??qr?3qr; ????????????22t?t2t??2t??t?222222222故得:?s?
qr3qr; 或:?s?;
2t2tyh2zh2bpMoyh2h2pxM解(2):该杆内任意一点的应力状态为单向应力状态,(受力如图示)
?x?PMy???1 FJz?y??z??2??3?0
且知,当杆件产生屈服时,首先在杆件顶面各点屈服,故知y??得:?1??x?h 2P6M?2;?2??3?0 bhbh若采用Tresca屈服条件,则有:
?max??s?1?6MP??bh?h?s2??1??32?P6M???2?bhbh?1?; ?2??; ?故得:?s?1?6M?; 或:??P?s??2bh?h?若采用mises屈服条件,则有:
2?s2?6?s2???1??2????2??3????3??1?1?6MP??bh?h1?6M?;或:??P?s??h3bh????; ?222?P6M??2?12?2??2?
?bhbh?2故得:?s?一般以σs为准(拉伸讨验)