Lecture%207%20Trusses%20Drift%20Linear%20Systems copy - EG 10111\/10112 Introduction to Engineering Tower Builder Module Lecture 7 Trusses and Linear

Lecture%207%20Trusses%20Drift%20Linear%20Systems copy - EG...

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11/7/2011 1 EG 10111 Introduction to Engineering Copyright © 2010 University of Notre Dame 1 EG 10111/10112 Introduction to Engineering Copyright © 2010 University of Notre Dame Tower Builder Module Lecture 7 Trusses and Linear Equations EG 10111 Introduction to Engineering Copyright © 2010 University of Notre Dame Announcements HW 4 Assigned this week Last Homework of the semester! Quiz/Preparation Project Document ONLY on the quiz due by midnight before LC this week Read/Print LC 4, but the quiz will NOT cover this MATLAB code in HW Make sure you copy/paste the script AND the outcome File>>Publish also outputs all information in a useful format 3 EG 10111 Introduction to Engineering Copyright © 2010 University of Notre Dame Outline Tower Builder Project Interstory Drift Project Metrics Static Analysis of a Truss Truss Analysis Example Matrix 2D Arrays Operations on Matrices Specifying Subarrays Matrix Functions Solving System of Linear Equations 4 EG 10111 Introduction to Engineering Copyright © 2010 University of Notre Dame Where we are in the tower design process 5 Gather Data Develop Model Verify Model MODEL DEVELOPMENT Investigate Designs using Model Optimize Design Predict Behavior DESIGN STAGE Construct Design Experimentally Verify Behavior CONSTRUCTION & VERIFICATION 1 2-3 3 4 5 6 EG 10111 Introduction to Engineering Copyright © 2010 University of Notre Dame Tower Behavior Under Specified Loading Does the tower represent the Axial or Shear Action Behavior? How can we use this information? 6
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11/7/2011 2 EG 10111 Introduction to Engineering Copyright © 2010 University of Notre Dame How Does Bracing Affect Drift? Displacement is different at different floors Drift = deflection Interstory: deflections at each story due to shearing Cumulative: total deflections at each floor 7 EG 10111 Introduction to Engineering Copyright © 2010 University of Notre Dame Bracing Location 8 Unbraced Braced @ Top Floor Braced @ 3rd Floor EG 10111 Introduction to Engineering Copyright © 2010 University of Notre Dame What about Location of Bracing and Drift? Unbraced Top Floor Brace 3 rd Story Brace 5 th Floor 101.1 mm (19.2 mm) 77.3 mm (1.1 mm) 67.1 mm (18.5 mm) 4 th Floor 81.9 mm (21.2 mm) 76.2 mm (16.3 mm) 48.6 mm (15.4 mm) 3 rd Floor 60.7 mm (21.5 mm) 59.9 mm (20.8 mm) 33.2 mm (0.3 mm) 2 nd Floor 39.2 mm (21.1 mm) 39.1 mm (21.0 mm) 32.9 mm (15.5 mm) 1 st Floor 18.1 mm (18.1 mm) 18.1 mm (18.1 mm) 17.4 mm (17.4 mm) Ground 0 mm 0 mm 0 mm 9 Trends seen here will differ depending on bracing used. EG 10111 Introduction to Engineering Copyright © 2010 University of Notre Dame Project Metrics Project Objective Meet limit states Maximum Displacement Meet functional constraints Bracing schemes due to usage Maximize Efficiency Bracing Ratio (entire tower) Stiffness Ratio Efficiency 10 mm 3000 braces total L B unbraced braced k k S B S E EG 10111 Introduction to Engineering Copyright © 2010 University of Notre Dame Trusses: Key Points Free Body Diagrams !!
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