Chapter 1, Problem 7
Pin-connected members
ADB
and
CD
carry a load
W
applied by a cable-pulley
arrangement, as shown in Figure P1.7. Determine
(
a
) The components of the reactions at
A
and
C
.
(
b
) The axial force, shear force, and moment acting on the cross-section at point
G
.
Given: The pulley at
B
has a radius of 150 mm. Load
W
= 1
.
6 kN.
Figure P1.7
Chapter 1, Solution 7
( a )
C
E
D
D
x
D
y
0.25
0 15
R
Cy
R
Cx
1.6
B
y
1.6
B
x
150
1.6
B
Free body pulley B
F
B
kN
x
x
=
=
→
∑
0
16
:
.
N
↑
F
B
k
y
y
=
=
∑
0
16
:
.
Free body CED
M
R
R
kN
D
Cx
Cx
=
−
=
=
←
∑
0
0 4
16 015
0
0 6
:
( . )
. ( .
)
,
.
N
←
D
y
F
D
D
k
x
x
x
=
−
−
+
=
=
∑
0
0 6
16
0
1
:
.
.
,
F
R
y
Cy
=
=
∑
0:

This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*
Free body ADB
M
D
B
D
kN
R
kN
A
y
y
y
Cy
=
−
=
=
=
↑
∑
0
05
15
0
48
48
:
( . )
( . )
,
.
,
.
kN
↓
32
.
N
→
0 6
.
kN
F
R
D
B
R
x
Ay
y
y
Ay
=
−
+
−
=
=
∑
0
0
:
,
F
R
D
B
R
k
x
Ax
x
x
Ax
=
+
−
=
=
∑
0
0
:
,
( b )
M
N
m
V
G
G
=
=
⋅
=
16 0 6
960
16
. ( . )
,
.
F
k
G
N
=
16
.
M
G
F
G
B
G
V
G
0 6
1.
1 6
Chapter 1, Solution 11
Free body-entire frame
∑
M
R
R
kips
A
y
y
=
−
−
=
=
0
30
3 18
4 12
0
34
:
(
)
(
)
(
)
,
.
Free body-member BC
∑
M
R
R
C
x
y
=
−
=
0
9
12
0
:
( )
(
)
and
R
k
x
=
=
4
3
34
4533
( . )
.
ips
Thus
F
R
kip
BC
=
=
+
=
( .
)
( . )
.
4533
34
5666
2
2
s
C
B
A
4
3
R
x
R
y
R
9
3f
4 kips
3
12
18