4.28 B7.
A cylinder is suspended by two cables, as shown below. Its weight is 2P and radius
is r. The distance between the points where the cables contact the cylinder is b. Calculate the
tension in each cable.
O
α
b
r
O1
5.6 The box is loaded by forces FA =2i-3j+7z,acting at A(1,-1.5,3.5), FB =-2i+3j-7z ,acting at B(4,6,-14)and FC =7j+3z, ,acting at C(-3,-2,5). Reduce these forces to a force-couple system. Is it
possible to reduce them to one force only?
(M2.19) The ball is suspended by the cable AC. Assuming that the weight of the ball is P,
determine the tension in the cable and the force exerted by the ball on the wall.
A
α
C
O
Fig. P4.26
B
B112. The triangle shaped bolt is loaded by moment M. Determine the forces exerted at A, B and C,
when AB = a, BC = b. Neglect the friction and assume that the gap between the socket and the bolt
is small.
A
M
B
C
Ja12.13. Determine the centroid of the area shown , assuming that they are constructed from the
homogenous plate. All dimensions are in cm.
y
4
x
4
O
2 2
φ16
B, 124. For the load and supports shown, determine the reactions. Neglect the weight of the beam.
y
q
B
A
x
α
a
l
8.6 Using method of joints, calculate the force in each member of the truss shown.
F = 40 N and a = 30 cm. (Ja 1.19 – 1.20)
a
D
E
C
a
F
A
B
a
F
a
G
a
H
a
Figure P8.6
8.49 Determine forces in the members EF and EG.
F1 = 20 N, F2 = 30 N, F3 = 40 N, F4 = 10 N, F5 = 60 N, a = 20 cm.
F3
F4
G
a
F
H
E
I
D
F5
J
F1
a
F2
a
C
B
A
a
a
(241 -249) Determine forces in all members of the truss when a = 50 cm and P1=P2=25 kN, P3=30
kN P4=40 kN, and P5=20 kN.
a
P1
P3
a
60°
a
a
A
a
P2
a
a
a
B
8.? – 8.? Determine forces in each truss member , when P = 3 kN, Q = 2 kN, a = 20 cm, b =40cm
and c = 50 cm. Force P is always acting along the line AB and force Q along the line DE.
P
d
6
A
2
1
D
B
5
3
E
b
a
4
c
Q
9.24 Derive equations for the internal forces and bending
moments for the straight beam AB shown in the Figure P9.6.
The weight of the board is 400N. Neglect the weight of the
beam itself. Draw the appropriate diagrams.
Figure P9.6 Basketball stand
B34. The truss ABC is loaded by the force P and supported by the links BE and CD. Calculate
axial forces in the each bar and link. Use AB = BC = AC.
E
B
A
C
P
D
Comment [a1]: ROBI
Add points A,B.C and show
distances: 0.4m 1.6m
206. Bar CD is loaded by the moment M = 400 Nm. Coefficient of friction µ = 0.5; OA = OB = 30
cm; AC = AD = 10 cm; R = 15 cm. Bar AD makes angle 300 with horizontal axes. Links CF
and DE are perpendicular to the bar CD. Determine the maximum value of moment MT to
keep the system in static equilibrium. (Fig. ___).
B
MT
O
C
FA
MD
E
MT and M are not italic?
Ja4.10
A
q
M1
P2
E
C
B
45°
P1
2.5
2.5
30°
F
D
2.0
1.5
2.0
2.5
3.0
90°
B
A
2
2
1.5
1.5
Ja5.2
4
4.3 Determine the magnitude and direction of the resultant of the forces shown. The force 200 lb
makes an angle of 45 degrees with the vertical and the force 300 lb makes an angle of 60 degrees.
300 lb
200 lb
Figure P4.3
M6.4(213) The weight P = 300 N is supported by the rods AB, AC and the cable AD. Plane ABC
is horizontal, the angle CBA = the angle BCA = 600, the angle EAD = 300. Determine the forces
in each rod and in the cable.
D
C
E
A
B
P
5.20 (M3.12) Horizontal beam BC (weight 500 N) is built into the wall as shown. Determine the
reactions at A and B if it is loaded by the crate P = 4 kN.
3.5m
P
Fig. P5.20
0.5m