... publisher.
Engineering Mechanics - Statics Chapter 6
Given:
F
1
30 kN=
F
2
20 kN=
F
3
20 kN=
F
4
40 kN=
a 4m=
b 4m=
Solution:
F
2
− aF
3
2a()− F
4
3a()− G
y
4a()+ 0=
G
y
F
2
2F
3
+ 3F
4
+
4
=
G
y
45kN=
Guesses ... writing from the publisher.
Engineering Mechanics - Statics Chapter 6
compression.
Units Used:
kN 10
3
N=
Given:
F
1
2kN= F
4
5kN= a 5m=
F
2
4kN= F
5
3k...
... publisher.
Engineering Mechanics - Statics Chapter 2
Problem 2-9 3
The plate is suspended using the three
cables which exert the forces shown.
Express each force as a Cartesian vector.
Given:
F
BA
35 0 ... writing from the publisher.
Engineering Mechanics - Statics Chapter 2
b 8m=
c 3m=
d 4m=
Solution:
r
c−
d− b−
a
⎛
⎜
⎜
⎝
⎞
⎟
⎟
⎠
= r
3
12−
4
⎛
⎜
⎜
⎝
⎞
⎟
⎟
⎠
m=...
... the publisher.
Engineering Mechanics - Statics Chapter 4
Given:
F
1
450 N= a 2m=
F
2
30 0 N= b 4m=
F
3
700 N= c 3m=
θ
60 deg= M 1500 N m⋅=
φ
30 deg=
Solution:
F
Rx
F
1
cos
θ
()
F
3
sin
φ
()
−= F
Rx
125− ... publisher.
Engineering Mechanics - Statics Chapter 4
Given:
F
1
30 lb=
F
2
40 lb=
F
3
60 lb=
a 1ft=
b 3ft=
c 2ft=
d 3=
e 4=
Solution:
F
R
F
1
0
1−
0
⎛
⎜
⎜
⎝...
... Engineering Mechanics - Statics Chapter 8
μ
s
0 .3=
M 5Nm⋅=
a 50 mm=
b 200 mm=
c 400 mm=
r 150 mm=
P
1
30 N=
P
2
70 N=
Solution: To hold lever:
Σ
M
O
= 0;
F
B
rM− 0=
F
B
M
r
= F
B
33 .33 3 N=
Require
N
B
F
B
μ
s
= ... the publisher.
Engineering Mechanics - Statics Chapter 8
a 3ft=
Solution:
The brace is a two-force member.
μ
s
N
N
L
2
a
2
−
a
=
μ
s
aL
2
a
2
−=
La1
μ
s...
... publisher.
Engineering Mechanics - Statics Chapter 7
0 5 10 15 20
60
40
20
0
20
Distance (ft)
Moment (kip-ft)
M
1p
x
1
()
M
2p
x
2
()
M
3p
x
3
()
x
1
ft
x
2
ft
,
x
3
ft
,
Problem 7-8 8
Draw the ... from the publisher.
Engineering Mechanics - Statics Chapter 7
Problem 7-8 6
Draw the shear and moment diagrams
for the beam.
Units Used:
kN 10
3
N=
Given:
w 2
kN
m
= a...
... writing from the publisher.
Engineering Mechanics - Statics Chapter 7
01 234 5678
5
0
5
10
15
Distance (m)
Moment (kN-m)
M
1
x
1
()
M
2
x
2
()
M
3
x
3
()
x
1
x
2
, x
3
,
Problem 7-6 9
Draw the shear and ... from the publisher.
Engineering Mechanics - Statics Chapter 7
Problem 7-8 3
Draw the shear and moment
diagrams for the beam.
Units Used:
kN 10
3
N=
Given:...
...
L
3
x≤
2L
3
≤
+
↑
Σ
F
y
= 0;
V
2
0
=
Σ
M
x
= 0;
M
2
M
0
=
For
2L
3
x≤ L≤
+
↑
Σ
F
y
= 0;
V
3
0
=
Σ
M
x
= 0;
M
3
0
=
b()
x
1
0 0.01
L,
L
3
= x
2
L
3
L
3
1.01,
2L
3
= x
3
2
L
3
2L
3
1.01, L ... from the publisher.
Engineering Mechanics - Statics Chapter 7
01 234 56789
1
0.5
0
0.5
1
Distance in m
Shear force in N
V
1
x
1
()
V
2
x
2
()
V
3
x
3
()
x
1
x
2...
... Engineering Mechanics - Statics Chapter 6
F
AB
F
AG
F
BC
F
BG
F
CD
F
CE
F
CG
F
DE
F
EG
⎛
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎝
⎞
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎠
33 3
471−
33 3
0
667
667
471
9 43
667−
⎛
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎜
⎝
⎞
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎟
⎠
lb=
Positive ... publisher.
Engineering Mechanics - Statics Chapter 7
N
C
F
3
cos
θ
()
=
N
C
21.7
kN=
Σ
F
y
= 0;
V
C
F
2
− F
3
si...
... 0=
D
y
W
1
− W
3
− C
y
+ 0=
W
3
xW
1
e+ D
y
cd+ e+()− 0=
B
y
C
y
D
y
x
⎛
⎜
⎜
⎜
⎜
⎜
⎝
⎞
⎟
⎟
⎟
⎟
⎟
⎠
Find B
y
C
y
, D
y
, x,
()
=
A
y
B
y
C
y
⎛
⎜
⎜
⎜
⎝
⎞
⎟
⎟
⎟
⎠
5.5 10
3
×
6 .33 3 10
3
×
3. 167 10
3
×
⎛
⎜
⎜
⎜
⎜
⎝
⎞
⎟
⎟
⎟
⎟
⎠
lb= ... without permission in writing from the publisher.
Engineering Mechanics - Statics Chapter 6
Given:
w
1
500
N
m
=
w
2
400
N
m
=
w
3
600
N
m
=...