ANALYSIS OF TRUSS
ACKNOWLEDGEMENT
I extend my heartfelt gratitude to Professor Mr. Sanjay Gupta for his invaluable guidance, unwavering
support, and mentorship throughout this endeavor. His expertise and encouragement have been
instrumental in shaping this presentation.
I am immensely thankful to my dedicated team members whose collaborative efforts and commitment
have significantly contributed to the success of this project. Each member's unique perspective and
hard work have enriched this presentation in numerous ways.
I would also like to express my sincere appreciation to my friends for their constant motivation,
understanding, and encouragement. Their support has been a source of strength and positivity.
Lastly, I am indebted to everyone who has contributed directly or indirectly to this work. Your insights,
feedback, and assistance have been truly invaluable.
Thank you all for being an indispensable part of this journey.
TEAM MEMBERS
ADITYA GARG -
2023UIC3560
ASHU ANAND -
2023UIC3555
DEVVRAT SINGH CHUNDAWAT - 2023UIC3575
GARGI SINGH ANTRIKSH ARYA -
2023UIC3586
2023UIC3527
DEFINITION OF
TRUSS
A truss is a structure that consists of a
collection of structural elements connected at
pin joints or nodes. In theory, the pin joints
provide no rotational resistance and behave
as hinges. In practice, this is not always the
case.
ORIGIN OF TRUSSES
The origin of the term “Truss” is from the Old French word
trousse, from around 1200, which means "collection of
things bound together". The term truss has often been used
to describe any assembly of members such as a cruck
frame or a couple of rafters. One engineering definition is:
"A truss is a single plane framework of individual structural
members connected at their ends that forms a series of
triangles to span a large distance".
APPLICATION OF TRUSSES
ROOFTOP
S
STADIUM
S
BRIDGES
TYPES OF TRUSSES
1.Simple truss:
The simplest truss is two-dimensional and includes three axial members
arranged in a triangle.
2. Compound Truss:
A compound truss is a structure composed of two or more simple trusses
connected to form a single rigid body (with a common joint and/or additional
members).
3. Complex Truss:
A truss that cannot be categorized as a simple truss or a compound truss is
considered a complex truss. They often have overlapping/crossing members
that do not connect at a joint and require a more sophisticated approach to
analysis and design than is required for most simple and compound trusses.
1. Pratt Truss: The Pratt truss (first proposed by Thomas Pratt in 1844) is one of the
most common forms of truss and is made up of vertical and diagonal members that form
an ’N’ shape or pattern. The diagonal members are arranged so that they only develop
tensile forces. The vertical members in a Pratt truss develop compression forces.
2. Howe Truss: It is essentially the reverse of the Pratt truss (upside down Pratt truss).
As a result, in response to vertical or gravity loading, the vertical members typically go into
tension with the diagonal members going into compression.
3. Warren Truss: The Warren truss dispenses with internal vertical members entirely
and is formed from a series of equilateral triangles. By eliminating the vertical members,
the Warren truss is relatively economical in terms of material use.
4. Vierendeel Truss: This type of truss is fundamentally different in how it transmits
forces. One common feature of all pin jointed trusses is that they are composed of
triangular shapes. This is dictated by their pin joints that provide no resistance to rotation.
TYPES OF MEMBERS
● Chords: The top and bottom horizontal members of the truss
that provide the main strength and support.
● Diagonals: The slanting members that run between the chords,
connecting them and providing additional strength and stability.
● Verticals: The vertical members that run between the chords and
provide additional stability.
● Web members: The smaller members that connect the nodes
and reinforce the stability of the truss.
STATICAL DETERMINACY
The statistical determinacy of a truss refers to the number of
unknown forces in the truss that can be determined through the
application of equilibrium equations. A statically determinate truss is
one in which all the forces in the truss can be determined using only
the equations of statics, without the need for any additional
information such as deformation or material properties.
In general, a truss with n members and j joints will be statically
determinate if:
n = 2j - 3
NUMERICAL 1
Solution: A free body diagram of each joint, assuming tension in each member is illustrated.
NUMERICAL 2
NUMERICAL 3
NUMERICAL 4