解:(a)σ,=25MPa 40MPa 26 MPa 0)o/MPa =20 MPa ,=-40MPa /MPa (b)=-26MPa S0ME F/MPa O,=30 MPa G,=0 0, =-30 MPa (c)O=-50 MPa 50MPa omPa F/MPa 50MP (d o=40MPa I=10 MPa 20MPa t/MPa o,=41MPa C=4IMPa G,=0 OMPa ) 39°3 O/MPa G3=-61MH an=39°35 50MPa 7-9各单元体如图所示。试利用应力圆的儿何关系求 (1)主应力的数值 (2)在单元体上绘出主平面的位置及主应力的方向。 t/MPa 解:(a)a1=160.5MPa -30 0 /MPa 30.5MPa o=-23.56 70MPa (b)01=36.0MPa /MPa G,=0 丁3=-176MPa C1=65.6° 140MPa a/MPa ao gOMPa D 03D V D 03D D W 03D V V 03D V E 03D V D 03D D W 03D V V 03D V F 03D V D W D V 03D V V G 03D V D 03D D W 03D V V 03D V c $ D D 03D V V 03D V $ D E 03D V V 03D V $ D 03D 03D q V 03D W 03D q VD & R 03D q 03D q V V V 03D W 03D q VD 03D q 03D V [ V \ W 03D R V 03D 03D q 03D 03D D qc 03D V 03D V V V D q VD W 03D V 03D 03D 03D 03D V V q D V 03D W 03D V D R V & 03D 03D 03D V [ V V q D V 03D V D V W 03D & R