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Beam DesignBeam Design
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Review of Lecture 5: TrussesReview of Lecture 5: Trusses
! Rotational Equilibrium– Sum of the moments must equal zero.– Use to calculate reactions at
supports and to find internal forces
! Trusses are an efficient way to carry loads with minimal material
! Look for examples of moment equilibrium around you
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Concrete beamsConcrete beams
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Concrete connectionsConcrete connections
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Reinforcing rod connectionsReinforcing rod connections
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Concrete YConcrete Y--beamsbeams
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Interior ViewInterior View
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Castellated BeamsCastellated Beams
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Timber Cantilever BeamsTimber Cantilever Beams
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Beam TerminologyBeam 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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Shear Diagram for Uniform LoadShear Diagram for Uniform Load
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Lecture 6: BeamsLecture 6: Beams
! Beams carry loads in bending, with compression and tension on opposite sides
! Visualize trusses within the depth of a beam
! Shear and moment diagrams are used to illustrate internal forces in beams
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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