Download - Shear Diagrams
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Previous ConclusionsPrevious Conclusions
! Concrete will continue to be a dominant construction material
! Reinforced concrete must crack in order for reinforcing to work " lower durability because steel can corrode
! Prestressed concrete prevents cracking ! Two powerful design methods: moment
diagrams or strut and tie models! Environmental impact can be reduced through
design: minimize material and recycle waste
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Steel StructuresSteel Structures
! Technical concepts:– Structural failure– Ductility– Buckling– Shear diagrams
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Steel StructuresSteel Structures
! Recent structures in steel! Material properties – definitions ! Structural failure! Environmental issues! Conclusions
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Stuttgart Airport, 1991, GermanyStuttgart Airport, 1991, Germany
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Structural Design in SteelStructural Design in Steel
! Can resist tension and compression! Slender elements in compression
may buckle! Very lightweight structures, so
vibrations are a problem! Follow moment diagram to minimize
material use
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Why is steel a good structural material?Why is steel a good structural material?
•High strength
•Ductile material
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Ductility of SteelDuctility of Steel
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Importance of DuctilityImportance of Ductility
•Large displacements before collapse (as opposed to a brittle material, which fails suddenly)
•Energy dissipation as the steel yields (important for resisting earthquakes and other overloading)
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Yield Stress of SteelYield Stress of Steel
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Yield Stress of SteelYield Stress of Steel
Up to 100 ksi80 ksiHigh Strength
~67 ksi50 ksiA50
~50 ksi36 ksi(kips/in2)
A36
Ultimate Stress
Yield StressSteel Type
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How far down can a steel cable hang under its own weight?
Specific weight of steel: 490 lbs/ft3
Stress = Force/area
Ultimate Stress Length of cable before breaking
50 ksi ~15,000 feet (4.5 km)67 ksi ~20,000 feet (6 km)100 ksi ~35,000 feet (11 km)
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Steel Section TerminologySteel Section Terminology
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Shear DiagramsShear Diagrams
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Shear DiagramsShear Diagrams
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Shear DiagramsShear Diagrams
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Shear DiagramsShear Diagrams
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Shear DiagramsShear Diagrams
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How to draw a shear diagramHow to draw a shear diagram
1) Determine external reactions on beam
2) “Walk” along beam with your pen
3) Pen goes up and down with the loads
4) Must “close” diagram at the ends of the beam
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Shear DiagramsShear Diagrams
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Shear DiagramsShear Diagrams
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Shear DiagramsShear Diagrams
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Structural FailureStructural Failure
! STRENGTH– Material failure– Buckling (due to instability of section)
! SERVICEABILITY– Excessive deflections or vibrations– Cracking (usually in concrete)
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Stiffness of SteelStiffness of Steel
! STRENGTH– Higher yield stress allows smaller
sections
…but…
! SERVICEABILITY– Stiffness of steel is constant (modulus
of elasticity, E)– Deflections, vibrations, and buckling
become more common
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Shear Diagram for Uniform LoadShear Diagram for Uniform Load
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Shear DiagramsShear Diagrams
Area = (qL/2)(L/2)/2
=qL2/8 " max moment value
Shear diagram equals the slope of moment diagram
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Is steel a green material?Is steel a green material?
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COCO22 Emissions for SteelEmissions for Steel
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Recycled content for steelRecycled content for steel
30%Light gauge steel
90%Structural steel
Percent recycledType of steel
Each ton of recycled steel saves 1200 pounds of coal
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Environmental Advantages of SteelEnvironmental Advantages of Steel
! Lower weight reduces foundation requirements
! Highly recycled and can continue to be recycled indefinitely
! Durable, if protected from corrosion
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Environmental Disadvantages of SteelEnvironmental Disadvantages of Steel
! Very high energy use, predominantly from burning coal " produces pollution
! Lightweight, so lower thermal mass compared to concrete " requires more insulation
! Is susceptible to corrosion
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Corrosion of SteelCorrosion of Steel
Corrosion costs around 4% of GDP
Every 90 seconds, across the world, one ton of steel turns to rust; of every two tons of steel made, one is to replace rust.
Source: Galvanizer’s Association
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How to avoid corrosion?How to avoid corrosion?
! Careful detailing to protect from water
! Use stainless steel
! Protect steel with galvanizing (zinc coating) or other protective coating
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Stainless Steel DisadvantagesStainless Steel Disadvantages
• High initial cost
• Difficulty in fabricating can often result in costly waste
• Difficulty in welding
• High cost of final polishing and finishing
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ConclusionsConclusions
! Steel offers many advantages, primarily high strength and ductility
! Shear diagrams can be used to determine locations of high stresses (and are helpful in drawing moment diagrams)
! Lightweight structures are susceptible to vibrations and excessive deflections
! Environmental impact can be reduced through design
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Ecological FootprintsEcological Footprints
Ecological Footprints for Selected Countries[Data Source: Wackernagel, Mathis, Larry Onisto, et. al. Ecological Footprints of Nations: Rio+5 Forum Study, March 10, 1997.]