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Plate Bending of Steel Column Caps Daniel MargolinMEng Structural Engineering Abdul Al-MishwatMEng Structural Engineering MAE 5700 Final Project.

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Presentation on theme: "Plate Bending of Steel Column Caps Daniel MargolinMEng Structural Engineering Abdul Al-MishwatMEng Structural Engineering MAE 5700 Final Project."— Presentation transcript:

1 Plate Bending of Steel Column Caps Daniel MargolinMEng Structural Engineering Abdul Al-MishwatMEng Structural Engineering MAE 5700 Final Project

2 What is a Column Cap?

3 Our Problem 10 ” 1 ”

4 Simplification 8 ”

5 Plate Theory Kirchhoff Thin Plates Reissner-Mindlin Thick Plates

6 Bi-Harmonic Equation of Plate Flexure: Thin Plate Approximation:

7 W INT W EXT

8 Linear Case Standard Displacement

9 Parameters PLATE PROPERTIES: -DIMENSIONS: 8”- 8”- 0.1” -MODULUS OF ELASTICITY (E): 29,000 KSI -Poisson’s Ratio (ν): 0.3 -Applied load: 1 psi -SUPPORT CONDITIONS: SIMPLY SUPPORTED

10 ANSYS Deflection: 6.337x10 -3 in. Stress: 1854 psi

11 Element Performance

12 MATLAB Maximum Deflection at Mid-Span:1.56x10 -4 m 6.14x10 -3 in

13 Closed Form Solution Rectangular Kirchhoff Plate Subjected to uniform loading

14 Closed Form Solution

15 Final Results %

16 Thank you !

17 References -M. Suneel Kumar “ULTIMATE STRENGTH OF SQUARE PLATE RECTANGULAR OPENING UNDER AXIAL XCOMPRESSION” Journal of Naval Architecture and Marine Engineering, June Alexander G. Losilevich “AN ANALYSIS OF FINITE ELEMENTS FOR PLATE BENDING PROBLEMS” Massachusetts Institute of Technology, A.J.M Ferreira “MATLAB CODES FOR FINITE ELEMENT ANALYSIS” Universidade do Porto, Portugal, Niels Ottosen & Hans Peterson “INTRODUCTION TO THE FINITE ELEMENT METHOD” University of Lund, Sweden, Thomas J.R.Hughes “THE FINITE ELEMENT METHOD-LINEAR STATIC AND DYNAMIC FINITE ELEMENT ANALYSIS” Stanford University, 1987


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