Civil Engineering Reference
In-Depth Information
Figure 5.22
m
-coefficients and normalized Mohr circle
σ
−
σ
t
2
1
.
25
+
0
.
25
cot 2
α
1
=
=
=
0
.
577
τ
lt
2(1
.
30)
60
◦
,
30
◦
2
α
1
=
and
α
1
=
α
1
are recorded in Figure 5.22(b). Both the given set
of applied stresses and the calculated set of principal stress variables are shown in Figure
5.22(c) in terms of the Mohr circle. Points A and B give the values of the three applied stresses
(
These calculated values of
σ
1
,
S
and
σ
=
1.25 MPa,
σ
t
=−
0.25 MPa and
τ
t
=
1.30 MPa). Points C and D indicate the principal
α
1
is 60
◦
.
The set of
m
-coefficients are calculated by their definitions:
stresses (
σ
1
=
2.00 MPa and
σ
2
=−
1.00 MPa). The angle 2
σ
σ
1
=
1
.
25
m
=
00
=
0
.
625
2
.
σ
1
=
−
σ
t
0
.
25
m
t
=
00
=−
0
.
125
2
.
τ
t
σ
1
=
1
.
30
m
t
=
00
=
0
.
650
2
.
