mit design truss analysis
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Truss AnalysisTruss Analysis
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Review: Member DesignReview: Member Design
! Compression elements have lower stresses due
to buckling
Pcr = 2EI/(kL)2
! When using graphic statics for truss analysis,
use clockwise convention to determine if an
element is in tension or compression.
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Truss LectureTruss Lecture
! Moments of forces for finding reactions
! Method of joints for analyzing trusses
! Graphical analysis for analyzing trusses
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Three Equations of EquilibriumThree Equations of Equilibrium
1. Sum of vertical forces must be zero
Fy = 0
2. Sum of horizontal forces must be zero
Fx = 0
3. Sum of moments must be zero
M = 0
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Moment EquilibriumMoment Equilibrium
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Moment of ForceMoment of Force
M = Fa
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Moment EquilibriumMoment Equilibrium
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Crane CounterweightCrane Counterweight
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Equilibrium of Ski Lift TowerEquilibrium of Ski Lift Tower
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Eiffel TowerEiffel Tower
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Cantilevered StreetlightCantilevered Streetlight
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Weight of LampWeight of Lamp
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Reactions at SupportsReactions at Supports
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TrussesTrusses
! 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