Project Name : An Architectural Bliss for Tackling Concrete
Theme Name : Mathematics Modelling
Truss: An Architectural Bliss for Tackling Concrete Behemoths Buildings are the building blocks of an urban settlement, hence the buzzword for a better tomorrow. To minimize the significant environment impact, a prudent mathematical approach could be a solution.
Out of all the polygons, triangular shape best suits our purpose as-
1. Triangle is the only polygon whose central angles are uniquely defined by the of its side
2. The simplest geometric figure that will not change its shape when the length of the sides are fixed.
A triangle under any loading condition always prevents shift and sag whereas a square, however strong the joints are, may get deformed to a parallelogram.
3. The only shape that can be combined to give any polygon in 2D or 3D, which we desire. hence, “Triangles provide natural stability to shape and design”
Truss: A network of Interconnected triangles
A structure comprising one or more triangular units constructed with straight members whose ends are connected at joints. The forces in the members are either tensile or compressive only.
For example this structure is entirely composed of the triangles only.
Stability and determinacy:
In order for a truss with pin connected members to be stable, it must be entirely composed of triangles.
The necessary condition for stability is
m>=2j-r
where,
m= total number of truss members
j=total number of joints
r=number of reaction(r=3 in 2D structure)
Truss under extreme conditions:
1. Guy wires:
The tension cables designed to add to stability in a beam structure is totally eliminated in the truss structures, consequently reducing the
1. Electrical issues responsible for distortion of radiation pattern.
2. The charges developing the static electricity in the cables.
2. Seismic waves:
Truss design feature ensures the seismic forces getting redistributed along the truss member reducing the impact of force.
The structures can also be developed with base isolators giving additional damping.
3. Wind load:
The speed of the wind, acts as pressure when it meets any structure where
(P) Pressure=Force/Area=F/A
=> Wind load (F)=P x A x Cd
Where,
Cd =>Drag coefficient
Stability and determinacy:
In order for a truss with pin connected members to be stable, it must be entirely composed of
triangles.
The necessary condition for stability is
m>=2j-r
where,
m= total number of truss members
j=total number of joints
r=number of reaction(r=3 in 2D structure)
Truss under extreme conditions:
1. Guy wires:
The tension cables designed to add to stability in a beam structure is totally eliminated in the truss structures, consequently reducing the
1. Electrical issues responsible for distortion of radiation pattern.
2. The charges developing the static electricity in the cables.
2. Seismic waves:
Truss design feature ensures the seismic forces getting redistributed along the truss member
reducing the impact of force.
The structures can also be developed with base isolators giving additional damping.
3. Wind load:
The speed of the wind, acts as pressure when it meets any structure where
(P) Pressure=Force/Area=F/A
=> Wind load (F)=P x A x Cd
Where,
Cd =>Drag coefficient
Name of the School: Maharishi Patanjali Vidya Mandir, Teliarganj, Allahabad
