Theory of Structure - I Lecture Outlines Introduction History of Structural Engineering Forms of Structures Materials Loads 2 Introduction STRUCTURAL ENGINEERING 1ST YEAR 2ND YEAR 3RD YEAR 4TH YEAR ENGG. MECHANICS THEORY OF STRUCTURES I THEORY OF STRUCTURES II STRUC. ENGG. 3 History of Structural Engineering Why history is important? One reason why history is important it that the past has value to our society. History is the narrative of mankind. History when presented properly lends itself to critical analysis. 4 History of Structural Engineering Greek and Egyptian Temples Made of stone Employed beams and columns Many columns having little useful space between them 5 Greek temple built 2500 years ago 6 Greek temples of Poseidonia (now called Paestum) dating from the sixth century BC. 7 The Temple of Debod built in early 2nd century BC 8 Egypt: Temples of Karnak built 2000 years ago 9 History of Structural Engineering Arch structures were discovered prior to Roman era. Roman Empire used arches extensively in construction. Stone arches had span of 100 ft and more 10 The Colosseum is one of Rome's most distinctive landmarks. Construction of this famous amphitheatre began in 72 AD. 11 Arches Aqueducts Aqueduct at Segovia in eastern Spain 12 The arch of Costantino built in 312 AD 13 History of Structural Engineering From A.D. 500 to A.D.1500, structures that were built continued to employ the stone arch as the major structural forms. Gothic Cathedrals Roof was supported by flying buttresses 14 Flying Buttress Cathedral from North East Chichester 15 Flying Buttress Cathedral from South East Chichester 16 History of Structural Engineering Fifteenth and Sixteenth centuries are known as Renaissance. Galileo (1564-1642) Concept of force and moments Robert Hooke (1635-1703) Law of linear behavior of materials Sir Isaac Newton (1642-1727) Laws of motion Leonhard Euler (1707-1783) Buckling of columns Palladio introduced the use of truss 17 GALILEO ISSAC NEWTON ROBERT HOOKE LEONHARD EULER PALLADIO 18 History of Structural Engineering Modern Era Introduction of Iron Industrial Revolution First major structure built or iron was Severn River Bridge Coalbrookdale. Suspension bridges Thomas Telford’s Bridge over Menai Straits in Wales, Brunel’s Clifton Bridge in Bristol, Finley’s Bridge over Merrimack River in Newburyport, Massachusetts. 19 Iron bridge, a cast-iron arch bridge built in 1779 across the River Severn near Coalbrookdale, Shropshire, England 20 Thomas Telford built the suspension bridge in the middle in 1826. They had to destroy some of the castle to anchor it to the rock. 21 Isambard Kingdom Brunel designs the Clifton Suspension Bridge at Bristol. Two hundred feet above the River Avon, the bridge is 700 feet long. 22 History of Structural Engineering Rank Building - City - Country Year Stories Height 1. Burj Dubai, Dubai, UAE 2008 189* 850m* 2. Taipei 101, Taipei, Taiwan 2004 101 509m 3. Petronas Tower 1, Kuala Lumpur, Malaysia 1998 88 452m 4. Petronas Tower 2, Kuala Lumpur, Malaysia 1998 88 452m 5. Sears Tower, Chicago, USA 1974 110 442m 6. Jin Mao Building, Shanghai, China 1999 88 421m 23 24 Forms of Structures Structural Forms Cables Arches Trusses Beams Surfaces Membranes Plates Shells 25 Cables Cables stretch well and are light, so they are useful in large structures. They only take tension stresses. Cables can be crisscrossed and combined with surface materials to achieve light and large structures. Examples of this technique are Suncoast Dome and Georgia Dome in the United States 26 27 28 Hanger Tower Cable Cable Anchorage Road Way Golden Gate Bridge, San Francisco 29 Cables Grace Memorial Bridge over the Cooper River Between Charleston, South Carolina (USA) and Mount Pleasant, South Carolina, stands the Grace Memorial Bridge. Completed in 1929, the cantilever steel structure has a main span of 1050 ft., or 320 m. and a total length of 3.6 miles or 5.79 Kilometers. A parallel bridge, with a similar design but a shorter main span, was built in 1966. This allowed the old bridge to be converted to one-way traffic. 30 Grace Memorial Bridge over the Cooper River 31 Arches An arch is a curved structure capable of spanning a space while supporting significant weight (e.g. a doorway in a stone wall). The arch is significant because, in theory at least, it provides a structure which eliminates tensile stresses in spanning an open space. All the forces are resolved into compressive stresses. 32 Chinese Moon Bridge 33 Made by Zhao1974 in Hebei Province, China. Built by the architect Li Chun from 595 to 605 AD. World's oldest fully-stone, open-spandrel, segmental arch bridge. 34 Triangular Arch Rampant Round Arch Round Arch Lancet Arch Segmental Arch Shoulder Flat Arch Equilateral Pointed Arch Three-Foiled Cusped Arch 35 Horseshoe Arch Inflexed Arch Three-centered Arch Ogee Arch Elliptical Arch Reverse Ogee Arch Parabolic Arch Tudor Arch 36 Truss In architecture and structural engineering, a truss is a structure comprising one or more triangular units constructed with straight slender members whose ends are connected at joints. A plane truss is one where all the members and joints lie within a 2-dimensional plane, while a space truss has members and joints extending into 3 dimensions. 37 Truss All members are assumed in axial compression or tension. Members are joined with the help of frictionless pins. Loads are applied at joints only. 38 Types of Trusses Common Truss Flat Truss Truncated Truss It is characterized by its triangular shape. It gets its name from its parallel top and bottom chords. A combination of the two is a truncated truss. It is most often used for roof construction. It is often used for floor construction. It is used in hip roof construction. 39 Support structure under the Auckland Harbour Bridge. 40 A Vierendeel bridge; note the lack of diagonal elements in the primary structure and the way bending loads are carried between elements 41 Beams A beam is a structural element that carries load primarily in bending (flexure). Beams generally carry vertical gravitational forces but can also be used to carry horizontal loads (i.e. loads due to an earthquake or wind). The loads carried by a beam are transferred to columns, walls, or girders, which then transfer the force to adjacent structural compression members. 42 Beams It requires only vertical supports at ends generally. It is a compact structure. It’s disadvantage is that it sometimes uses materials less economically than other structural systems. 43 44 45 Surfaces Surfaces Membranes Plates Shells 46 Membranes Thin sheets of material Resist applied loads by tension. Examples are tents, sails, balloons etc 47 Plates Plates are flat surfaces that transfer loads by bending in a manner similar to beams. 48 Shells Shell is rigid surface that transfers loads in two directions. The primary difference between a plate and a shell is that the shell has curvature whereas the plate does not. TWA Flight Center, John F. Kennedy International Airport, New York. 49 Materials Properties of Material Deformation Characteristics Strength Comp. Tension Resist. Strengt h to weight ratio Stiff Elastic Ductile 50 Materials Aggregates Steel Concrete Wood Aluminum Fiber Glass Composite Materials etc. 51 Loads Loads Static Loads Loads Dynamic Loads Dead Live 52 Loads Building Live Loads Bridge Live Loads Live Loads Earthquake Loads Snow Loads Wind Loads 53 54