Analysis of TRUSSES
What is a Truss?
In engineering, a truss is a structure that "consists of two-force members only, where the members are organized so that the assemblage as a whole behaves as a single object".
A "two-force member" is a structural component where force is applied to only two points. Although this rigorous definition allows the members to have any shape connected in any stable configuration, trusses typically comprise five or more triangular units constructed with straight members whose ends are connected at joints referred to as nodes.
planar truss is one where all members and nodes lie
within a two-dimensional plane, while a space truss has members and nodes that extend into three dimensions. The top beams in a truss are called top chords and are typically in compression, the bottom beams are called bottom chords, and are typically in tension. The interior beams are called webs, and the areas inside the webs are called panels.
within a two-dimensional plane, while a space truss has members and nodes that extend into three dimensions. The top beams in a truss are called top chords and are typically in compression, the bottom beams are called bottom chords, and are typically in tension. The interior beams are called webs, and the areas inside the webs are called panels.
Truss types
For more truss types, see truss types used in bridges. A large timber Howe truss in a commercial building
There are two basic types of truss:
(i) pitched truss, or common truss
(ii) The parallel chord truss
The pitched truss, or common truss, is characterized by its triangular shape. It is most often used for roof construction. Some common trusses are named according to their web configuration. The chord size and web configuration are determined by span, load and spacing.
The parallel chord truss, or flat truss, gets its name from its parallel top and bottom chords. It is often used for floor construction.
A combination of the two is a truncated truss, used in hip roof construction. A metal-plate-connected wood truss is a roof or floor truss whose wood members are connected with metal connector plates.
Warren Truss
Pratt Truss
The Pratt truss was patented in 1844 by two Boston railway engineers, Caleb Pratt and his son Thomas Willis Pratt. The design uses vertical members for compression and diagonal members to respond to tension. The Pratt truss design remained popular as bridge designers switched from wood to iron, and from iron to steel. This continued popularity of the Pratt truss is probably due to the fact that the configuration of the members means that longer diagonal members are only in tension for gravity load effects. This allows these members to be used more efficiently, as slenderness effects related to buckling under compression loads (which are compounded by the length of the member) will typically not control the design. Therefore, for given planar truss with a fixed depth, the Pratt configuration is usually the most efficient under static, vertical loading.
Bowstring truss
A bowstring truss is used on the oldest metal bridge in Virginia |
Named for their shape, bowstring trusses were first used for arched truss bridges, often confused with tied-arch bridges.
Thousands of bowstring trusses were used during World War II for holding up the curved roofs of aircraft hangars and other military buildings. Many variations exist in the arrangements of the members connecting the nodes of the upper arc with those of the lower, straight sequence of members, from nearly isosceles triangles to a variant of the Pratt truss.
Kingpost Truss
One of the simplest truss styles to implement, the king post consists of two angled supports leaning into a common vertical support.
The queen post truss, sometimes queen-post or qqueens post is similar to a king post truss in that the outer supports are angled towards the centre of the structure. The primary difference is the horizontal extension at the centre which relies on beam action to provide mechanical stability. This truss style is only suitable for relatively short spans.
Lenticular truss
The Waterville Bridge in Swatara State Park in Pennsylvania is a lenticular truss. Lenticular trusses, patented in 1878 by William Douglas (although the Gaunless Bridge of 1823 was the first of the type), have the top and bottom chords of the truss arched, forming a lens shape. A lenticular pony truss bridge is a bridge design that involves a lenticular truss extending above and below the roadbed.
Town's lattice truss
American architect, Ithiel Town designed Town's Lattice Truss as an alternative to heavy-timber bridges. His design, patented in 1820 and 1835, uses easy-to-handle planks arranged diagonally with short spaces in between them.
Vierendeel truss
A Vierendeel bridge, which lacks diagonal elements in the primary structure. The Vierendeel truss is a structure where the members are not triangulated but form rectangular openings, and is a frame with fixed joints that are capable of transferring and resisting bending moments. As such, it does not fit the strict definition of a truss (since it contains non-two-force members); regular trusses comprise members that are commonly assumed to have pinned joints, with the implication that no moments exist at the jointed ends. This style of structure was named after the Belgian engineer Arthur Vierendeel, who developed the design in 1896. Its use for bridges is rare due to higher costs compared to a triangulated truss.
Members under tension are called “tie”, Members under compression are called “strut”. The structure formed by the members (tie/ strut) is called “truss”.Extensively used in roof, bridge, sheds etc.
where, ‘n’ is the number of members, and
‘j’ no of joints
It is efficient and optimized structure.
Imperfect Truss:
Structure is made of members more or lesser than the minimum numbers necessary to keep it in equilibrium, when loaded
Analysis of frames:
A frame is a structure made of several bars/ rods welded / riveted together. The bars are angle irons/ channels of “i” or “t” sections. These are called members on application of load on to the structure, the members remain loaded with tensile/compressive load.Members under tension are called “tie”, Members under compression are called “strut”. The structure formed by the members (tie/ strut) is called “truss”.Extensively used in roof, bridge, sheds etc.
Perfect Truss:
Structure is made of members just sufficient to keep it in equilibrium, when loaded without any change of shapeN = 2j – 3
where, ‘n’ is the number of members, and
‘j’ no of joints
It is efficient and optimized structure.
Imperfect Truss:
Structure is made of members more or lesser than the minimum numbers necessary to keep it in equilibrium, when loaded
N ≠ 2j – 3
if N > 2j – 3 ----------------------- it is redundant Imperfect Truss
if N < 2j – 3 ---------------------it is Deficient imperfect Truss