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CE514D2CE514D2--REINFORCED CONCRETE DESIGNREINFORCED CONCRETE DESIGN
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TO DISCUSS HOW THE COLUMN INTERACTION DIAGRAM WAS MADE.TO DISCUSS HOW THE COLUMN INTERACTION DIAGRAM WAS MADE.
TO DISCUSS THE IMPORTANT POINTS OF THE DIAGRAM.TO DISCUSS THE IMPORTANT POINTS OF THE DIAGRAM.
TO DISCUSS HOW IT IS BEING USED.TO DISCUSS HOW IT IS BEING USED.
COLUMN INTERACTION DIAGRAMCOLUMN INTERACTION DIAGRAM
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TheThe COLUMNCOLUMN STRENGTHSTRENGTH INTERACTIONINTERACTION
DIAGRAMDIAGRAM isis aa curvecurve plotplot ofof pointspoints;; wherewhere
eacheach pointpoint hashas twotwo ordinatesordinates.. TheThe firstfirst
ordinateordinate isis bendingbending momentmoment strengthstrength andand
thethe secondsecond isis thethe correspondingcorresponding axialaxial forceforce..BothBoth ordinatesordinates areare linkedlinked withwith eccentricityeccentricity..
TheThe shapeshape ofof thethe curve,curve, oror thethe strengthstrength
interactioninteraction diagram,diagram, cancan bebe defineddefined byby
findingfinding thethe ordinatesordinates ofof majormajor sevenseven pointspoints..
COLUMN INTERACTION DIAGRAMCOLUMN INTERACTION DIAGRAM
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COLUMN INTERACTION DIAGRAMCOLUMN INTERACTION DIAGRAM
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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 bycode.
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.
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Point 1Point 1 Axial Compression at Zero MomentAxial Compression at Zero Moment
Point 2Point 2 Maximum Permissible Axial Compression at ZeroMaximum Permissible Axial Compression at Zero
EccentricityEccentricity
TIED SPIRAL
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Point 3Point 3 Maximum Moment Strength at Maximum Permissible CompressionMaximum Moment Strength at Maximum Permissible Compression
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Fv = 0
M = 0
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Point 4Point 4 Axial Compression and Zero Moment atAxial Compression and Zero Moment at
Zero StrainZero Strain
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Point 5Point 5 Axial Compression and Moment Strength atAxial Compression and Moment Strength at
50% Strain50% Strain
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Point 6Point 6 Axial Compression and Moment Strength atAxial Compression and Moment Strength at
Balanced ConditionsBalanced Conditions
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Point 7Point 7 Moment Strength at Zero Axial ForceMoment Strength at Zero Axial Force
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DESIGN USING NONDESIGN USING NON--DIMENSIONALDIMENSIONAL
INTERACTION DIAGRAMSINTERACTION DIAGRAMS
1. Calculate factored loads (Pu , Mu ) and e for relevant load combinations
2. Select potentially governing case(s)
3. Use estimate h to calculate Kh, e/h for governing case(s)
4. Use appropriate chart (App. A) target Vg
(for each governing case)
5. Select
n
c g
P
f A
u c
g
n
c g
P fA
P
f A
J!
Read Calculate
required
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6. If dimensions are significantly different from estimated (step 3),
recalculate ( e / h ) and redo steps 4 & 5.
Revise Ag if necessary.
7. Select steelgst AA V!
8. Using actual dimensions & bar sizes to check all load combinations
( use charts or exact: interaction diagram).
9. Design lateral reinforcement.
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Strunet
Reinforced 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.pdf
www.philjol.info/index.php/JRSCE/article/viewPDFInterstitial/.../580
www.tpub.com/content/NAVFAC/.../dm2_080107.htm
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COLUMN INTERACTION DIAGRAMCOLUMN INTERACTION DIAGRAM