The 4-
-b
H
I)
4
\
4-
I
+
C.,
&
1
--
-cr
-.-
ii
cJ
k
d,
.,
U,
cnO
Ct,
LI)
(
*15.20. wooden beam is subjected to a load of 12 kN.
If grains of wood in the beam at point A make an angle of
25 with the hothontal as shown, determine the normal and
shear stresses that act perpendicular and parallel to the
grains due to the loading.
friv
12
m
4m
F1
Li
1
P &fl/W
300mm
HH
V.
200 mm
r4
6 di Lva
FiG-
FZlJ,M.
k..
6.c7 1w
ifr.v
V 6.&n kit,
ik
tcticr
1
1
P
Ri7I.-,2?/t:
(&rilciv,
l2,L. (q3J,j,f
(4: (3I4,Vi11.
Crt,ssceei%&i.
Cciz(OJ)z
u2.
0. 1I.2cc1&2(c)oJ)
1k 7((
7f4L((3)( o7j
4
2..&s-7Mp
c45 ((o3)
CT)
((7s.
7
& xo!?
Q. fST(o ) t.l
22flMI?
O
,
Mpm
6
O.I2S
ii
..
- 7. 27
2
as2-o
2
2.27-O
1yl2&
C
2
-
-
=
2
(23o
________
600 psi
15-31. Draw Mohrs circle that describes each of the
following states of stress.
2OMPa
HO
(a)
1
rdc
itt
2ksi
(b)
tiye41
71
(c)
Zy?
H
uvj
ftlA$ 4tK
llC
,4
)ft)eskce 7)O
(9oo,
C((n,O)
7k. rads
b.
v)
c4Je
O
L...
.::
2
f
(C
jk
it
t
A ad C
7 7c
-
Cot4VQW(k1, :
-
4ts i
,
2
z
He&te
Qt(2)
.2
A:,
.
UrJa
;Y
1
A(o,c).
((-lou
71-e id
C).
1
of
1Cct,rJiq
ut
out.
7 Adc
0)
ccc&
Ic
f14_of
frcI
.(ft 4
Zey2oM&
2
LY
ortta
Au,
1k
ie-ftre&ce
f
FJ
ereuc
pot 4
C a.e
C(C,O)
tit
P:2o,uMP.
cMp)
tCMP)
jf. 2.
*1532. A point on a thin pate is subjected to states two
successive of stress as shown. Determine the
resulting state of stress with reference to an element
oriented as shown at the right.
sgktc
tie (rc&: Z
c
tLe
pive&,
6%
SM P, 6, 8c/(4I?i
Z/,L
r
p
y
4 (&t)
fevetiie
74
IC
C(r. o)
7k
.
t
(oM4.
-fr
Ca)
L4
0
/,4
?s&1t, & c-ti fe
cf Ifrsc
J4s of t1p ot%i.
1
at C.
1ie
.c
4
j
=
coMP
of
(64 c.o
7le
ii
ak.e
)
7
(r 0.
M/
it{e
-t,te
C)
cL f
ii
.
J 4.
61et
(c).
j
oyj
4ci6o)
7 rd4c
&sc
oi
lkcs
<f
fre
p
(C
tQ)
CCo,o
tIe
Ca)
cW
fDd
The
r[
(6;,) C
Pof P
fIe od z;
(Le
I
9.,
c
ol
o
1
j
it .
/,
\
(d-?q
I3Q .
( S;f1= i.
irf/p,)
cp
(MLe the
(()
Z
q
1r
fcdc)h
cY,>,z (; (d
)
7
$5jL(./
33; 0
T)
:
:1. 9
)
(
7
r
/37 44
15-39. The thin-walled pipe has an inne
r diameter of
0.5 in. and a thickness of 0.025 in. If it
is subjected to an
internal pressure of 500 psi and the
axial tension and
torsional loadings shown, determine the princ
ipal stresses
at a point on the surface of the pipe.
1
4
7.flcj
-.
2001b
200 lb
20 lbft
20 Ibft
P.e e
77fo.7--
S(.2S7:
J skU?
/Jg!1 5i .c;:
cY.
.
-
I
=
2
r).
7 frtI
-:
(Q.Gf)
S
.1L
frJ7tThc 7
-
Ot
.
-
)(o.27S)
h
/
6Z3rk,
:ufr
dd 4 A
A(7.31, -23.I&
7
I
-/r)&1(a
cr
(&.
2-.
7k
s;
6
o
7te rr
-/.
/
2
./1L
fr
,V
/
dC
ccJ7,
LF?/1
t/.e
___7__
23.I
3 o6 ;
Prc Srers
j7f+
dL
17S
2
zo65
23.2
o
)f (;