1. MD. SHOFIKUR RAHMAN ID# 071055046

2. MD. SHAMIM HOSSAIN ID# 071054046

3. ALI AHSAN HABIB ID# 071053046

4. M. AMINUL ISLAM HOWLADER ID# 071097046

Finite Element Modeling of Reinforced Concrete Beam Column Joint.

Presented By

Outline of The Presentation

Introduction Objectives Literature Review Finite Element Modeling Results Conclusion

Beam-Column joint should be proportioned to resists forces at critical sections.

Introduction

Objective

Exterior RCC Column and Beam Joint Modeling by Finite Element.

Effect of beam depth on moment of the beam-column joint.

Study of Moment-Rotation (M-Φ) Relation.

Literature Review

Bond-slip of reinforcement in joints- Russo, Zingone and Romano (1990)

Effect of inelastic cycle loading on high-strength RC connections –Alameddine and Ehsani (1991)

RC frames subjected to lateral loads-Qi and Pantazopopulou (1991)

FE Modeling

Solid Geometry

a) Beam length from column 10 ft.

b) Column length from beam bottom 10 ft.

c) Column length from beam top 10 ft.

d) Beam depth 10,12 and 14 inch.

Modeling of concrete

a) Use element Plane 42 2-D.

b) Four nodded.

c) Two degrees of freedoms

at each node (Ux & Uy).

Modeling of concrete area.

area

a) Use element Link-1 2D spar.

b) two degrees of freedom at each

node (Ux & Uy).

Modeling of Reinforcements

Modeling of Reinforcement.

Modeling of Bond Slip

a) Use Combined 14 to model bonding between concrete and reinforcement.

Modeling of Mesh

a) Mesh Beam Column. b) 12” Mesh.

Materials Properties 

MaterialsElement

typesModulus of Elasticity

Poisson’s Ratio

Concrete Plane 423000X10³ psi

0.17

ReinforcementLink1,

30000X10³psi 0.30

Load and Boundary Condition

Columns end condition considered fixed.Ux=0 and

Uy=o for both ends of column

Load and Boundary Condition

Use Coupling between reinforcement and concrete nodes of beams top and bottom by one dof Fy.

Apply 5000 lb upwards from beams free end.

Result

Deformed shape of FE Model.

Beam depth(in)

Load (lb)

Horizontal reaction at end (lb)

10 5000 7843.3012 5000 7843.9014 5000 7855.00

Beam Depth VS Reaction

Table:Finite element analysis results

Table: RESULTS FROM FE ANALYSIS

Rotation Deg.

(Φ)

Beam 10

Reaction (lb)

length (in)

Moment (k-in)

2 16944 120 2033

4 33928 120 4071

6 50993 120 6119

8 68180 120 8182

10 85569 120 10268

Table: RESULTS FROM FE ANALYSIS

Rotation Deg.

(Φ)

Beam 12

Reaction (lb)

length (in)

Moment (k-in)

2 25809 120 3097

4 51680 120 6202

6 77674 120 9321

8 103850 120 12462

10 130340 120 15641

Table: RESULTS FROM FE ANALYSIS

Rotation Deg.

(Φ)

Beam 14

Reaction (lb)

length (in)

Moment (k-in)

2 35376 120 4245

4 70836 120 8500

6 106470 120 12776

8 142350 120 17082

10 178650 120 21438

Conclusion

With The Increase of Beam Depth The Moment of The Joint Increases.

Questions ?