90
psi
ߪ௩ ൌ ʹͷʹ
െͳ ͶͲͷ ൌ ߪଶ
20.
20. 3D Mohr’s Circle Solution
3D Principal Stresses:
V
1
220 MP
a
1
92
psi
ߪଶߪଵ
psi
X-Axis
psi
21.
93
ɐൌʹͲǤͲ
ɒൌʹͲǤͲ
ɐʹɐͳ
Ǧ
V
1
V
2
V
3
21. 3D Mohr’s Circle Solution
3D Principal Stresses:
V
1
40
K
s
i
X-Axis
߬௫ ൌͶͲǤͲ
psi
40 000psi
40 000psi
ଵ
߬௫௬
22.
22. 3D Mohr’s Circle Solution
3D Principal Stresses:
V
1
40
K
si
96
psi psi
X-Axis
psi
psi
psi
23.
97
Ǧ
V
1
V
2
V
3
23. 3D Mohr’s Circle Solution
3D Principal Stresses:
V
1
42.780
K
s
i
V
0 Ksi
3
98
psi psi
24.
Vavg,
99
V
1
V
2
V
3
24. 3D Mohr’s Circle Solution
3D Principal Stresses:
V
1
55
K
si
3
100
psi
psi
psi psi
X-Axis
25.
Vavg,
Wmax
101
25. 3D Mohr’s Circle Solution
3D Principal Stresses:
V
1
23.932
K
s
i
1
102
X-Axis
psi
psi
psi
psi
psi
26.
103
26. 3D Mohr’s Circle Solution
3D Principal Stresses:
V
1
4180.011 ps
i
1
V
104
ͳͶǤͲ͵ ൌ ߬௫
psi
psi
ͳʹͺǤͲ
ͳǤͻͶ ൌ ߪଶ͵ʹͺǤͲ ൌ ߪଵ
27. Ȃ
105
27. 3D Mohr’s Circle Solution
3D Principal Stresses:
Expressed in 3D already
V
328.062
M
Pa
ɐ͵
V
2
V
1