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G-04 (Axial-Flexural Design of Concrete Slender Columns)

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Objective

To verify the axial-flexural design of the rectangular concrete column (braced)

 

Problem Description

 

The following concrete braced column [Ref 1] is to be designed according to ACI 318-02 code.  The clear concrete cover to stirrup is 1.5 inches.  Use fc = 4 ksi, fy = 60 ksi

 

Size (in)

18 x 18

Total length (ft)

13

Unbraced length (ft)

13

Effective length factor

0.87

Dead Pu (kips)

230 (compression)

Dead Mu-top (ft-kips)

2

Dead Mu-bottom (ft-kips)

-2

Live Pu (kips)

173 (compression)

Live Mu-top (ft-kips)

108

Live Mu-bottom (ft-kips)

100

 

Finite Element Model

1 beam elements with appropriate material and design criteria assigned

Model type: 2D Frame

 

Results

 

The following table shows some intermediate and final results during the design.  The program gives comparable results with the reference [Ref 1].

 

 

ENERCALC 3D

[Ref 1]

Cm

0.960

0.96

βd.

0.499

0.50

Moment magnification factor

1.145

1.15

Pu (kips)

552.8

553

Mu (ft-kips)

200.6

201

Bars

8 # 9

4 # 10 + 4 # 9

 

Comments

Since this is a braced column, we do not need to perform the 2nd order analysis for the design.

 

Reference

[1]. Arthur H. Nilson, David Darwin, Charles W. Dolan, “Design of Concrete Structures”, 13th Edition, pp. 304, McGraw-Hill Higher Education, 2004