PROBLEM 4.124
PROBLEM 4.123 The rigid L-shaped
member ABC is supported by a ball-and-
socket joint at A and by three cables. If a 1.8-
kN load is applied at F, determine the
tension in each cable.
192 132.413 576 0
CD BD
TT
(1)
252 1.8 0
CD
Ta
(3)
CD
T
3.00
CD
T 3.00 kN
CD
T
BE
BE
PROBLEM 4.125
The rigid L-shaped member ABF is supported by
a ball-and-socket joint at A and by three cables.
For the loading shown, determine the tension in
each cable and the reaction at A.
PROBLEM 4.125 (Continued)
From Eq. (1): 12.8 268 0
DH
T
60 lb
DH
T
z
z
(100.0 lb) (48.0 lb)
Aik
Note: The value 0
y
A can be confirmed by considering 0.
BF
M
PROBLEM 4.126
PROBLEM 4.125 The rigid L-shaped
member ABF is supported by a ball-and-
socket joint at A and by three cables. For the
loading shown, determine the tension in each
cable and the reaction at A.
:k 9.6 9.6 288 0
DH FJ
TT
(2)
PROBLEM 4.126 (Continued)
DH
DH
:j 7.2 (16)(0.6)(15) (32)(0.6)(15) 0
BG
T
7.2 432 0
BG
T
60.0 lb
BG
T
z
A
z
PROBLEM 4.127
Three rods are welded together to form a “corner” that is
supported by three eyebolts. Neglecting friction, determine the
reactions at A, B, and C when
240P
lb, 12 in., 8 in.,ab and
10 in.c
zy
or 1.25
zy
BC (1)
yx
or 1.5
xy
BA (3)
0: 0 FABCP
yy
PROBLEM 4.127 (Continued)
x
1.2
zz
BA (7)
1.5 or
1.5
y
yyy
A
CCA
and substituting into Equation (5),
1.5(120 lb) 180.0 lb
x
B
From Equation (4): 180.0 lb
x
C
PROBLEM 4.128
PROBLEM 4.127 Three rods are welded together to form a
“corner” that is supported by three eyebolts. Neglecting friction,
determine the reactions at A, B, and C when
240P
lb,
12 in., 8 in.,ab and c10 in.
zy
or 0.8
yz
CB (1)
yx
or 1.5
xy
BA (3)
0: 0 FABC
zz
PROBLEM 4.128 (Continued)
Substituting
x
C from Equation (4) into Equation (2),
50 1.2
x
z
B
A
(7)
y
A
20.0 lb
y
A
From Equation (5): 20.0 lb
y
C
Equation (1): 25.0 lb
z
B
PROBLEM 4.129
Frame ABCD is supported by a ball-and-
socket joint at A and by three cables. For
150 mm,a
determine the tension in
each cable and the reaction at A.
0.50
DG
DG
T
T
(0.48) (0.2) m
0.48 0.2
0.52
(12 5)
13
BE
BE
T
T
ik
jk
From F.B.D. of frame ABCD:
CF
PROBLEM 4.129 (Continued)
0: ( ) ( ) 0
xxCFBExDGx
FATTT
175.0 N
y
A
0: ( ) 0
zzBEz
FAT
PROBLEM 4.130
Frame ABCD is supported by a ball-and-
socket joint at A and by three cables.
Knowing that the 350-N load is applied at
D (300 mm),a determine the tension in
each cable and the reaction at A.
0.50
DG
DG
T
T
(0.48) (0.2) m
0.48 0.2
0.52
(12 5)
13
BE
BE
T
T
ik
ik
From f.b.d. of frame ABCD
CF
PROBLEM 4.130 (Continued)
0: ( ) ( ) 0
xxCFBExDGx
FATTT
PROBLEM 4.131
The assembly shown consists of an 80-
mm rod AF that is welded to a cross
consisting of four 200-mm arms. The
assembly is supported by a ball-and-
socket joint at F and by three short links,
each of which forms an angle of 45 with
the vertical. For the loading shown,
determine (a) the tension in each link,
(b) the reaction at F.
BC
PROBLEM 4.131 (Continued)
Eqs. (6) (5): 160( 0.3 ) 280 200 2 0
CC
TT P
BCD
( 0.36574 ) ( 0.8534 )
:0
PP
F
i
( 0.36574 ) (1.2191 ) ( 0.8534 )
: 200 0
F
j
yy
(1.2191 )
:0
P
Fk
zz
PROBLEM 4.132
The uniform 10-kg rod AB is supported by a ball-and-socket
joint at A and by the cord CG that is attached to the midpoint G
of the rod. Knowing that the rod leans against a frictionless
vertical wall at B, determine (a) the tension in the cord, (b) the
reactions at A and B.
98.1 N
W
300 200 225 425 mm
GC GC
ijk
PROBLEM 4.132 (Continued)
(b)
73.58 NB
(73.6 N)Bi
0: 0W FABTj
PROBLEM 4.133
The frame ACD is supported by ball-and-socket joints at A
and D and by a cable that passes through a ring at B and is
attached to hooks at G and H. Knowing that the frame
supports at Point C a load of magnitude P 268 N,
determine the tension in the cable.
1.25 m
0.8 0.6
0.375 0.75 0.75
AD
BG
AD
T
BH
ik
ijk
ijk
PROBLEM 4.133 (Continued)
0.8 0 0.6 0.8 0 0.6 0.8 0 0.6
(0.27750 0.22500) 180.900T
360 NT
PROBLEM 4.134
PROBLEM 4.133 The frame ACD is supported by ball-
and-socket joints at A and D and by a cable that passes
through a ring at B and is attached to hooks at G and H.
Knowing that the frame supports at Point C a load of
magnitude P 268 N, determine the tension in the cable.
1.25 m
0.8 0.6
1.125
AD
BG
BH
AD
T
BH
T
ik