第五章 土的抗剪强度
P205[7-8]解:(a)由作图法得c=20kPa,?=18°。 (b)?f?c??tg?=20+260tg18?=104.51kPa>?=92kPa,
12(?1??3)=
12 由于该平面上实际剪应力小于土的抗剪强度,所以不会发生剪切破坏。 P206[7-9]解:?f?cu?2+150=290kPa (?1?150)=70→?1=70×342?P206[7-10]解:(a)略。 (b)?f?45????2?45?????3?uf=62°,?1???1?uf=700-280=420kPa,?3=400-280=120kPa。 ??????1212?)?(?1???312?)cos2?(?1???3f=0.5×(420+120)+0.5×(420-120)×cos124°=186.12kPa
?)sin2?f=0.5×(420-120)×sin124°=124.36kPa (?1???3(c)Af?uf(?1??3)f=280/(700-400)=0.93
???3?uf=150-100=50kPa。 P206[7-11]解:?1???1?uf=200-100=100kPa,?3???3?f=50kPa,则 令?3?ftg(45???1?f??32??2)?2c??tg(45????2)
)=138.49kPa
2 实际的?1?<?1?f,所以不会发生剪切破坏。
?tg(45??P206[7-12]解:?1???32=50tg(45??228???2)?2c??tg(45??12?)?(?1???3??212?tg(45?)=?32?302?? )=3?3 ?f?cu?12(?1??3)????3?)=?3?=20kPa (3?3?=3×20=60kPa ?1?=3?3P206[7-13]解:(1)施加荷载瞬间,来不及排水,则不排水抗剪强度? (2)经过很长时间以后,u=0,?ff?cu=20kPa
??c??(??u)tg???200tg30=115.5kPa
f?,?P206[7-14]解:CD试验,u=0,所以?1??1?,?3??3?tg2(45???1=?1???3?45????2?45???222?=56°
??2)?2c??tg(45????2)=200tg56?2?24tg56=510.8kPa
2?