Tiered Seatings

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Tiered Seatings

• Finite Element Project

Robert Kong Wong Ngie Ing
2
Introduction

• Low Cost Solution
• Simple Assembly
• Strong and Safe
• Modular and Portable
• Easily Transportable
• Indoors/Outdoors

3
Objectives

• To determine the deformation shape under
  different condition cases
• To analyze maximum stress
• To analyze maximum deflection

4
Model Layout

• Model
• 870 Nodes
• 654 Beams
• 576 Plates
• 6.0(W) x 3.1 (H) x 4.5(L) in metres
• Boundary Conditions
• Constrained in X, Y, and Z at all fixed supports

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Material Breakdown

• Structural Steel for the body frame (beam
  element)
• Timber (12 m.c.) Gum, rose for seating area
  (plate element)

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Material Properties

• Side Frames
• Square Hollow Section 75 x 75 x 2.0 SHS
• Railings
• Circular Hollow Section 76.1 x 5.9 CHS
• Seating Side Square Support
• Square Hollow Section 25 x 25 x 2.5 SHS
• Seating mid-beam Support
• Square Hollow Section 25 x 25 x 2.0 SHS

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Assumption

• There are 6 rows
• Each row accommodates an average 9 people, 3
  people in each section
• An average 90kg per person
• Density of a live load is 3.5kPa for each section
• People leaning on the back of the rail, hanging
  on it, and possible leg stepping onto the 2nd
  level rail
• Wind Loads on front, back and side (out door
  conditions)
• Factor of safety for the self-weight is 1.1 while
  live load is 1.3

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Load Cases

• Self-weight of the structure
• Live load
• Leaning, hanging, legs on rail
• Wind load North direction (Front)
• Wind load West direction (Side)
• Wind load South direction (Back)
• Combination Case 1 1 2
• Combination Case 2 1 2 3
• Combination Case 3 1 2 4
• Combination Case 4 1 2 5
• Combination Case 5 1 2 6

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Results Convergence Study
Peak
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Deflection Deformation Combination Case 1
Deformation
Max. Beam Element Displacement 0.4907mm Max.
Plate Element Displacement 8.34mm
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Deflection Deformation Combination Case 2
Deformation
Max. Beam Element Displacement 0.1027mm Max.
Plate Element Displacement 8.416mm
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Deflection Deformation Combination Case 3
Deformation
Max. Beam Element Displacement 0.0102mm Max.
Plate Element Displacement 8.33mm
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Deflection Deformation Combination Case 4
Deformation
Max. Beam Element Displacement 0.1275mm Max.
Plate Element Displacement 9.006mm
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Deflection Deformation Combination Case 5
Deformation
Max. Beam Element Displacement 0.8855mm Max.
Plate Element Displacement 9.0063mm
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Max. Beam and Plate Stress Combination 1
Max. Fibre Stress 263.81 MPa Max. Plate Stress
14.61 MPa
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Max. Beam and Plate Stress Combination 2
Max. Fibre Stress 266.75 MPa Max. Plate Stress
14.64 MPa
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Max. Beam and Plate Stress Combination 3
Max. Fibre Stress 266.13 MPa Max. Plate Stress
14.57 MPa
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Max. Beam and Plate Stress Combination 4
Max. Fibre Stress 278.85 MPa Max. Plate Stress
15.78 MPa
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Max. Beam and Plate Stress Combination 5
Max. Fibre Stress 262.77 MPa Max. Plate Stress
14.59 MPa
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Conclusions

• Max. Plate Displacement 9.0063mm (Case 5)
• Max. Beam Displacement 0.8855mm (Case 5)
• Max. Beam Stress 278.85MPa (Case 4)
• Max. Plate Stress 15.78MPa (Case 4)
• Strand7, another quality program for engineers to
  analyze any possible objects modeled
• A very fun learning experience

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Thank you for listening!

• Any questions?