reinforced concrete design column interaction diagram
DESCRIPTION
ref for structural engineerTRANSCRIPT
-
6/17/2015
1
CE514D2-REINFORCED CONCRETE DESIGN
TO DISCUSS HOW THE COLUMN INTERACTION DIAGRAM WAS MADE.
TO DISCUSS THE IMPORTANT POINTS OF THE DIAGRAM.
TO DISCUSS HOW IT IS BEING USED.
COLUMN INTERACTION DIAGRAM
-
6/17/2015
2
The COLUMNCOLUMNCOLUMNCOLUMN STRENGTHSTRENGTHSTRENGTHSTRENGTH INTERACTIONINTERACTIONINTERACTIONINTERACTION
DIAGRAMDIAGRAMDIAGRAMDIAGRAM is a curve plot of points; where
each point has two ordinates. The first
ordinate is bending moment strength and
the second is the corresponding axial force.
Both ordinates are linked with eccentricity.
The shape of the curve, or the strength
interaction diagram, can be defined by
finding the ordinates of major seven points.
COLUMN INTERACTION DIAGRAM
COLUMN INTERACTION DIAGRAM
-
6/17/2015
3
Point 1: axial compression at zero moment.
Point 2: maximum axial compression load permitted by code at zero eccentricity.
Point 3: maximum moment strength at the maximum axial compression load permitted by
code.
Point 4: compression and moment strength at zero strain in the tension side reinforcement.
Pont 5: compression and moment strength at 50% strain in the tension side reinforcement.
Point 6: compression and moment strength at balanced conditions.
Point 7: moment strength at zero axial force.
COLUMN INTERACTION DIAGRAM
COLUMN INTERACTION DIAGRAM
-
6/17/2015
4
COLUMN INTERACTION DIAGRAM
Concrete crushes before steel yields
Steel yields before concrete crushes
Note: Any combination of P and M outside the envelope will cause failure.
COLUMN INTERACTION DIAGRAM
COLUMN INTERACTION DIAGRAM
-
6/17/2015
5
COLUMN INTERACTION DIAGRAM
COLUMN INTERACTION DIAGRAM
-
6/17/2015
6
COLUMN INTERACTION DIAGRAM
COLUMN INTERACTION DIAGRAM
-
6/17/2015
7
COLUMN INTERACTION DIAGRAM
Point 1 Axial Compression at Zero Moment
Point 2 Maximum Permissible Axial Compression at Zero
Eccentricity
TIED SPIRAL
COLUMN INTERACTION DIAGRAM
-
6/17/2015
8
Point 3 Maximum Moment Strength at Maximum Permissible Compression
COLUMN INTERACTION DIAGRAM
Fv = 0
M = 0
COLUMN INTERACTION DIAGRAM
-
6/17/2015
9
Point 4 Axial Compression and Zero Moment at
Zero Strain
COLUMN INTERACTION DIAGRAM
Point 5 Axial Compression and Moment Strength at
50% Strain
COLUMN INTERACTION DIAGRAM
-
6/17/2015
10
COLUMN INTERACTION DIAGRAM
Point 6 Axial Compression and Moment Strength at
Balanced Conditions
COLUMN INTERACTION DIAGRAM
-
6/17/2015
11
COLUMN INTERACTION DIAGRAM
Point 7 Moment Strength at Zero Axial Force
COLUMN INTERACTION DIAGRAM
-
6/17/2015
12
COLUMN INTERACTION DIAGRAM
DESIGN USING NONDESIGN USING NONDESIGN USING NONDESIGN USING NON----DIMENSIONAL DIMENSIONAL DIMENSIONAL DIMENSIONAL
INTERACTION DIAGRAMSINTERACTION DIAGRAMSINTERACTION DIAGRAMSINTERACTION DIAGRAMS
1. Calculate factored loads (Pu , Mu ) and e for relevant load combinations2. Select potentially governing case(s)3. Use estimate h to calculate h, e/h for governing case(s)4. Use appropriate chart (App. A) target g
(for each governing case)5. Select
n
c g
Pf A
u cg
n
c g
P fAP
f A
=
Read Calculate required
COLUMN INTERACTION DIAGRAM
-
6/17/2015
13
6. If dimensions are significantly different from estimated (step 3), recalculate ( e / h ) and redo steps 4 & 5. Revise Ag if necessary.
7. Select steel gst AA =
8. Using actual dimensions & bar sizes to check all load combinations ( use charts or exact: interaction diagram).9. Design lateral reinforcement.
COLUMN INTERACTION DIAGRAM
COLUMN INTERACTION DIAGRAM
-
6/17/2015
14
StrunetReinforced Concrete, Mechanics and Design ( Fourth Edition )
( James MacGregor, James K. Wight)Fundamentals of Reinforced Concrete ( Gillesania )books.google.com.ph/www.tcd.ie/civileng/Staff/Biswajit.Basu/3A2/3A2LEC16.pdfwww.philjol.info/index.php/JRSCE/article/viewPDFInterstitial/.../580www.tpub.com/content/NAVFAC/.../dm2_080107.htm
COLUMN INTERACTION DIAGRAM
-
6/17/2015
15
COLUMN INTERACTION DIAGRAM