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ECIV 320 Structural Analysis I Analysis of Statically Determinate Trusses
Analysis of Determinate Trusses ,[object Object],[object Object],[object Object],[object Object]
Analysis of Determinate Trusses ,[object Object],[object Object],[object Object]
Analysis of Determinate Trusses ,[object Object],[object Object]
Analysis of Determinate Trusses
Analysis of Determinate Trusses
Analysis of Determinate Trusses
Roof Trusses - Terminology Supports Wood/Steel/RC Columns Masonry Walls Bent: Roof Truss and Supporting Columns
Roof Trusses - Selection Short Spans (<60 ft) Requiring Overhead Clearance
Roof Trusses - Selection Moderate Spans (60-100 ft) May be modified for flat roofs
Roof Trusses - Selection Larger Spans (>100 ft) May have cambered bottom chord
Roof Trusses - Selection Suitable for flat or nearly flat roofs
Roof Trusses - Selection Location of column not an issue Uniform lighting is important
Roof Trusses - Selection Garages and small airplane hangars
Roof Trusses - Selection High rises and long spans Field houses Gymnasiums etc
Bridge Trusses - Terminology
Bridge Trusses - Selection Spans <200ft
Bridge Trusses - Selection Spans <300ft ,[object Object],[object Object]
Bridge Trusses - Selection Longer Spans Subdivided Trusses K-Truss
OK 99 Pond Creek Bridge, Osage County
Warren Truss Bridge
Assumptions for Design ,[object Object],[object Object],[object Object]
Assumptions for Design ,[object Object],[object Object]
Assumptions for Design ,[object Object],[object Object],[object Object],Tension Compression
Classification of Coplanar Trusses SIMPLE TRUSS - Triangles
Classification of Coplanar Trusses COMPOUND
Classification of Coplanar Trusses
Determinacy No of Bars + No of Reactions = 2(no of Joints) b  +  r  =  2j  -> Determinate
Determinacy
Stability External Stability All reactions parallel or  Concurrent => Unstable
Stability Internal Stability Joints do not exhibit rigid motion Simple truss always stable
Analysis Methods ,[object Object],[object Object]
Method of Joints Truss in Equilibrium => Each Joint in Equilibrium
Procedure ,[object Object],[object Object],[object Object],[object Object]
Procedure ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Zero-Force Members
Zero-Force Members
Zero-Force Members
Method of Sections Truss in Equilibrium => Each  PART  in Equilibrium
Method of Sections Truss in Equilibrium => Each  PART  in Equilibrium Efficient when forces of only a few members are to be found
Method of Sections - Procedure Free Body Diagram ,[object Object],[object Object],[object Object]
Method of Sections – Procedure (cont’d) Free Body Diagram ,[object Object],[object Object]
Method of Sections – Procedure (cont’d) Free Body Diagram ,[object Object],[object Object],[object Object],[object Object]
Method of Sections – Procedure (cont’d) Equations of Equilibrium Take moments about a point that lies on the intersection of the lines of action of two unknown forces

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