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Prof. Dasmaya Sidhu delivered this lecture at National Institute of Industrial Engineering for Basic Mechanical Engineering course. It includes: Simple, Truss, Joints, Wooden, Strut, Forces, Compression, Tension, Planar, Rigid
Typology: Slides
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A Truss is a structure composed of slender members (two-force members) joinedtogether at their end points. Members are either under tension or compression. Joints are usually formed by bolting or welding the members to a common plate,called a gusset plate, or simply passing a large bolt through each member.
2
3
C
D
5
A
B
C
E
When welded or riveted connections are used to join the truss members It is usually assume that the connection is a pin joint if the centerlines of the membersare concurrent at the joint as in Fig
6
For large trusses, a roller, rocker, or somekind
of
slip
joint
is
used
at
one
of
the
supports
to
provide
for
expansion
and
contraction due to temperature changes andfor deformation from applied loads
8
x
y
and find support reactions
Draw FBD of selected joint
9
Draw FBD of selected joint
B
C
F
1
In this structure there are 5 joints each having afree body diagram as follows
11
A
B
C
D
E
F
2
F
3
A
y
D
y
D
x
∑∑∑∑ ∑∑∑∑ ∑∑∑∑
====
==== ====
0
M
0
F
0
F
y x
For example, in this structure There are 5 jointseach having a free body diagram as follows
Joint A
0
F
0
F
==== ====
∑∑∑∑ ∑∑∑∑
12
F
1
F
BE
F
BC
F
BA
F
AE
F
AB
A
A
Joint A
Joint B
0
F
====
∑∑∑∑
500 N
14
A
y
A
x
C
y
∑∑∑∑ ∑∑∑∑ ∑∑∑∑
====
====
0
M
0
F
0
F
x y
sin
o
BC
x
∑∑∑∑
500 N
F
BC
F
BA
15
sin
BC
BC
cos
BA
o
BC
BA
y
∑∑∑∑
A
y
A
x
C
y
F
BC
A
X
A
y
F
BA
F
CA
17
x
CA
x
x
∑∑∑∑
y
BA
y
y
∑∑∑∑
A truss used to support a balcony is subjected to the loading as shown in figure. Approximate each joint as a pin and find out the force in each member of the truss State whether the members are in tension or in compression. P
1
= 600N
P
2
= 400N
18
A
P
1
F
AB
sin
o
y
∑∑∑∑
Joint A
20
F
AD
45
o
F
AD
Tension
cos
AB
0
AD
AB
x
∑∑∑∑
force
e
compressiv
sin
AD
o
AD
1
B
P
2
F
AB
F
BC
BC
AB
x
∑∑∑∑
Joint B
F
BD
=
-400 N
F
AD
= - 848.9 N
21
F
BD
BC
BC
AB
n
Compressio
BD
BD
2
y
∑∑∑∑
