5.59
Tutorial #5
1
6.9 Locate the center of gravity of the volume. The
material is homogeneous.
Tutorial #5
2
6.26
Tutorial #5
3
6.41
Tutorial #5
4
6.84
Tutorial #5
5

CV2101 Mechanics of Materials
Tutorial 6
7.33 Draw the shear and moment diagrams for the
cantilevered beam.
1200Nm
M
x
V
100N
100N
800Nm
M
1200Nm
V
x
7.41 Draw the shear and bendingmoment diagrams for each
of the two segments of the compound beam.
Support

*15-12 The state of stress at a point is shown on the element.
Determine (a) the principal stresses and (b) the maximum
in-plane shear stress and average normal stress at the
point. Specify the orientation of the element in each case.
*15-32 A point on a

CV1011 Mechanics of Materials
Tutorial 5
228.6N
Cx
FBD
5
7
7
5
2.5m
FBE
657.1N
6.9 Locate the center of gravity of the volume.
The material is homogeneous.
Volume and moment arm: the volume of the thin disk
differential element is dV = y 2 dz = ( 2 z ) dz

CV2101 Mechanics of Materials
Tutorial 1
F=500 N
A
B
60o
45o
C
FAB
F=500 N
A
105
60
45
o
45
B
60
75
o
45
C
500 N
500 N
o
o
o
o
75
o
o
300 N
300 N
(a)
(b)
FAB
+
FRx Fx 8 F cos 450 14 cos 300
+
4.1244 F cos 450
FRy Fy F sin 450 14 sin 300
7 F sin 450
FR F

CV1011 Mechanics of Materials
Tutorial 7
Allowable Normal Stress: Design of bolt size
or
(Use 16mm)
Allowable Shear Stress: Design of support
thickness
or
MA 0
Fy 0
Member BC:
FBC (4 sin 600 ) 7000(1) 7000(3) 0
FBC 8083 N
Ay 14000 8083sin 600 7000 N
Ax F

CV2101 Mechanics of Materials
Tutorial 4
y
FCB
30o
C
x
FCD
4kN
y
FBA
B
FCB=8.00kN
30
o
30o
FDB=4.00kN
x
O
FIC
FIG
1.5m
Ay=4.5kN
O
FHG
1.5m
O
C
5 4 4 5
3
3
5.625kN
FCG
G
FCJ
2kN
4kN
5m
A
4kN
5kN
B5m C5m D5m
F
H
Ay
3kN
Ex
E
3m
Ey
2m
G
5m
5m
5kN
C
2.5m
3kN
O

CV1101 Mechanics of Materials
Tutorial 3
3.92 Replace the three forces acting on the beam
by a single resultant force. Specify where the force
acts, measured from B.
+
+
F
125 1296 1302 N
2
2
1296
tan
84.5
125
1
x 1.36m to the right
Ans
Ans
Ans
3

12-10 The beam is made from three boards nailed together as
shown. If the moment acting
g on the cross section is M=1
kN m, determine the maximum bending stress in the
beam. Sketch a three-dimensional view of the stress
distribution acting over the cross

EN2002 Tutorial 1
1. There are three mechanisms for the phosphorylation of ADP to produce ATP. Write the
name of the mechanism that describes each of the reactions in the following table.
2. The chemical formula of a bacterium Magnetospirillum gyphiswalde

CV1101 Mechanics of Materials
Tutorial 11
14-1 A spherical gas tank has an inner radius of r =1.5 m. If it is
subjected to an internal pressure of p=300 kPa, determine
its required thickness if the maximum normal stress is not to
exceed 12 MPa.
14-7 A pre

CV1101 Mechanics of Materials
Tutorial 10
13-7 Determine the shear stress at point B on the web of the
cantilevered strut at section a-a.
13-13 Plot the intensity of the shear stress distributed over
the cross section of the strut if it is subjected to a

5.9
Tutorial #4
1
5.26
Tutorial #4
2
5.29
Tutorial #4
3
5.40
Tutorial #4
4
5.42 Determine the greatest force P that can be applied to the
frame if the largest force resultant acting at A can have a
magnitude of 2 kN.
Tutorial #4
5

3.92
Answer:
F=1302 N
=84.5
X=1.36 m to the right
3.96
Answer:
FR=cfw_400i+300j-650k N
MRA=cfw_-3100i+4800j Nm
4.4
Answer:
FCD=975 N
Ax=487.4 N
Ay=155.8 N
4.9
Answer:
T=74.6 N
Ax=33.4 N
Ay=61.3 N
4.31. The smooth pipe rests against the wall at the
points

3.36
Answer:
MA=cfw_-16.0i-32.1k Nm
Tutorial #2
1
Determine the smallest force F that must be applied along the
rope in order to cause the curved rod, which has a radius of 0.5 m,
to fail at the support C. this requires a moment of M= 80 Nm to be
develope

CV1101 Mechanics of Materials
Tutorial 6
7.33 Draw the shear and moment diagrams for the
cantilevered beam.
7.41 Draw the shear and bendingmoment diagrams for each
of the two segments of the compound beam.
7.57 Draw the shear and moment diagram for the be

CV1101 Mechanics of Materials
Tutorial 8
10-13 The load is supported by the four 304 stainless steel
wires that are connected to the rigid members AB and DC.
Determine the angle of tilt of each member after the 2500 N
load is applied. The members were ori

CV1101 Mechanics of Materials
Tutorial 7
8-61 Two bars are used to support a load P. When unloaded,
AB is 125 mm long, AC is 200 mm long, and the ring at A has
coordinate (0, 0). If a load is applied to the ring at A, so that it
moves it to the coordinate

CV1101 Mechanics of Materials
Tutorial 12
*15-12 The state of stress at a point is shown on the element.
Determine (a) the principal stresses and (b) the maximum
in-plane shear stress and average normal stress at the
point. Specify the orientation of the

CV1101 Mechanics of Materials
Tutorial 9
12-10 The beam is made from three boards nailed together as
shown. If the moment acting on the cross section is M=1
kN m, determine the maximum bending stress in the
beam. Sketch a three-dimensional view of the str

13-7 Determine the shear stress at point B on the web of the
cantilevered strut at section a-a.
13-13 Plot the intensity of the shear stress distributed over
the cross section of the strut if it is subjected
j
to a
shear force of V=15 kN.
*13-16 The T-bea