logging in or signing up plane and space trusses touqanar2000 Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 2135 Category: Science & Tech.. License: All Rights Reserved Like it (0) Dislike it (1) Added: December 26, 2008 This Presentation is Public Favorites: 2 Presentation Description analysis of plane and space trusses Comments Posting comment... Premium member Presentation Transcript Theory of plane and space trusses : Theory of plane and space trusses Dr. Abdul Razaq Touqan Department of Civil Engineering Local versus global coordinates : Local versus global coordinates Element axes are not all the same. So there is a need for a coordinate transformation Coordinate transformations from local to global : Coordinate transformations from local to global Coordinate transformations from local to global : Coordinate transformations from local to global Coordinate transformations from local to global : Coordinate transformations from local to global Transformation matrix from global to local T is: Notice for an orthogonal matrix, the inverse transformation from local to global is quite easy because: Coordinate transformations from local to global : Coordinate transformations from local to global -The element stiffness matrix in local coordinates is: -since truss member connects two nodes, the transformation: Coordinate transformations from local to global : Coordinate transformations from local to global -element equation in local coordinate: -transform to global -multiply both sides by T-1 Global stiffness matrix : Global stiffness matrix Plane truss example : Plane truss example Analyze the truss shown, given: Slide 10: Plane truss example (continues) Member connects nodes 1?j Plane truss example (continues) : Plane truss example (continues) Plane truss example (continues) : Plane truss example (continues) Stress equation for PT : Stress equation for PT Space truss : Space truss 3D trusses Space truss : Space truss Space truss global stiffness : Space truss global stiffness Example : Example Analyze the truss shown, given ST example (solution) Member connects nodes 1?j : ST example (solution) Member connects nodes 1?j member(1):1 to 2 ST example (solution) : ST example (solution) member(2): 1 to 3 ST example (solution) : ST example (solution) -member (3): 1 to 4 ST example (solution) : ST example (solution) -combining equations ST example (solution) : -equation of stress becomes ST example (solution) ST example (solution) : ST example (solution) Slide 24: End of PT and ST analysis Let Learning Continue You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.
plane and space trusses touqanar2000 Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 2135 Category: Science & Tech.. License: All Rights Reserved Like it (0) Dislike it (1) Added: December 26, 2008 This Presentation is Public Favorites: 2 Presentation Description analysis of plane and space trusses Comments Posting comment... Premium member Presentation Transcript Theory of plane and space trusses : Theory of plane and space trusses Dr. Abdul Razaq Touqan Department of Civil Engineering Local versus global coordinates : Local versus global coordinates Element axes are not all the same. So there is a need for a coordinate transformation Coordinate transformations from local to global : Coordinate transformations from local to global Coordinate transformations from local to global : Coordinate transformations from local to global Coordinate transformations from local to global : Coordinate transformations from local to global Transformation matrix from global to local T is: Notice for an orthogonal matrix, the inverse transformation from local to global is quite easy because: Coordinate transformations from local to global : Coordinate transformations from local to global -The element stiffness matrix in local coordinates is: -since truss member connects two nodes, the transformation: Coordinate transformations from local to global : Coordinate transformations from local to global -element equation in local coordinate: -transform to global -multiply both sides by T-1 Global stiffness matrix : Global stiffness matrix Plane truss example : Plane truss example Analyze the truss shown, given: Slide 10: Plane truss example (continues) Member connects nodes 1?j Plane truss example (continues) : Plane truss example (continues) Plane truss example (continues) : Plane truss example (continues) Stress equation for PT : Stress equation for PT Space truss : Space truss 3D trusses Space truss : Space truss Space truss global stiffness : Space truss global stiffness Example : Example Analyze the truss shown, given ST example (solution) Member connects nodes 1?j : ST example (solution) Member connects nodes 1?j member(1):1 to 2 ST example (solution) : ST example (solution) member(2): 1 to 3 ST example (solution) : ST example (solution) -member (3): 1 to 4 ST example (solution) : ST example (solution) -combining equations ST example (solution) : -equation of stress becomes ST example (solution) ST example (solution) : ST example (solution) Slide 24: End of PT and ST analysis Let Learning Continue