COLUMN
BEAM JOINT CHECKS |
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Definitions Of Terms: |
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All forces in units 'kN' and 'mm' |
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All reinforcement details like
area, spacing in 'mm' |
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Neutral axis angle for resultant
design moment is with respect to local major axis. |
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1 |
Aj |
= |
Effective cross-sectional area
within a joint in a plane parallel to plane of reinforcement generating shear
in the joint in 'sqmm' |
2 |
Ast Req |
= |
Area of reinforcement required in
Beam at section Considered in 'sqmm' |
3 |
Ast Pro |
= |
Area of reinforcement Provided in
Beam at section Considered in 'sqmm' |
4 |
B |
= |
Width of column / wall in 'mm' |
5 |
B' |
= |
Effective width of beam along B /
column width in 'mm' |
6 |
D |
= |
Depth / diameter of column in 'mm' |
7 |
D' |
= |
Effective width of beam along D /
column width in 'mm' |
8 |
fck |
= |
Specified strength of concrete in
'N/sqmm' |
9 |
fy |
= |
Specified yield strength of
reinforcement in 'N/sqmm' |
10 |
Mu |
= |
Moment in Beam at Section
Considered in 'kNm |
11 |
Mu Cap |
= |
Moment Capacity of Beam at Section
Considered in 'kNm' |
12 |
Mt |
= |
Equivalent Bending moment due to
torsion at Section Considered in 'kNm' |
13 |
Mnb |
= |
Flexure Capacity for Beam in 'kNm' |
14 |
Mnc |
= |
Flexure Capacity for Column in
'kNm' |
15 |
Mncd |
= |
Flexure Capacity of Columns along
D in 'kNm' |
16 |
Mncb |
= |
Flexure Capacity of Columns along
B in 'kNm' |
17 |
Pu |
= |
Axial force in Column
corresponding to Flexural capacity of Column along D or along B in 'kN' |
18 |
V-Reinf |
= |
Design shear demand from beam
reinforcment in 'kN' |
19 |
Vuy |
= |
Shear induced due to beam capacity
along D of column in 'kN' |
20 |
Vux |
= |
Shear induced due to beam capacity
along B of column in 'kN' |
21 |
Vj |
= |
Shear Force acting at the joint in
'kN' |
22 |
Vn' |
= |
Nominal shear strength in 'kN' |
Code References: |
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ACI 318M-2014 |
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Sr.No |
Element |
Clause / table |
|
1 |
Minimum Flexural Strength of
Columns |
: |
18.7.3.2 |
2 |
Shear Check at Column Joint |
: |
18.8.4 |
3 |
Shear Strength of Column |
: |
18.4 & 18.6.5 |
General Data: |
Column No. |
: |
C22 |
|
Joint at Level |
: |
4.2 m |
|
Check At Beam-Column Joints: |
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1. Flexure Strength Of Joint: |
Moment Capacity Calculations for
Beam |
Concrete Grade,fck |
= |
C25 |
N/sqmm |
Steel Grade,fy |
= |
Fy420 |
N/sqmm |
Beam Size |
Beam angle w.r.t. column Ly |
Torsion moment |
Moment Capacity for Top Reinforcement |
Moment Capacity for Bottom Reinforcement |
Resultant Moment |
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|
Mu |
Ast Req |
Ast Pro |
Mu Cap |
Mu |
Ast Req |
Ast Pro |
Mu Cap |
Top @ D |
Top @ B |
Bot @ D |
Bot @ B |
450 x 800 |
0 |
0 |
264.81 |
1117.5 |
1140.12 |
310.28 |
123.7 |
957.86 |
1013.44 |
277.05 |
310.28 |
0 |
277.05 |
0 |
500 x 800 |
90 |
0.05 |
216.68 |
1064.29 |
1140.12 |
311.36 |
75.74 |
1064.29 |
1140.12 |
311.56 |
0 |
311.36 |
0 |
311.56 |
300 x 900 |
180 |
0.17 |
153.03 |
724.29 |
760.08 |
235.58 |
79.26 |
724.29 |
760.08 |
235.74 |
235.58 |
0 |
235.74 |
0 |
400 x 600 |
270 |
0.21 |
98.69 |
651.64 |
886.76 |
175.34 |
20.23 |
622.86 |
633.4 |
126.82 |
0 |
175.34 |
0 |
126.82 |
Effective Moment for Beam |
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Check for Column Flexural Capacity |
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2. Shear Strength of Joint: |
Beams Along D |
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Shear Checks |
Conditions |
AST-Total
(sqmm) |
V-Reinf
(kN) |
Vuy(kN) |
Vj
(Shear Demand) (kN) |
B'
(mm) |
D'
(mm) |
Aj
(sqmm) |
Vn'
(kN) |
Vj
< Vn' |
Right
Top + Left Bottom |
1900.2 |
997.6 |
546.01 |
451.59 |
600 |
900 |
540000 |
4590 |
OK |
Left
Top + Right Bottom |
1773.52 |
931.1 |
546.01 |
385.08 |
600 |
900 |
540000 |
4590 |
OK |
Beams Along B |
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|
Shear Checks |
Conditions |
AST-Total
(sqmm) |
V-Reinf
(kN) |
Vux(kN) |
Vj
(Shear Demand) (kN) |
B'
(mm) |
D'
(mm) |
Aj
(sqmm) |
Vn'
(kN) |
Vj
< Vn' |
Right
Top + Left Bottom |
1773.52 |
931.1 |
486.9 |
444.2 |
900 |
600 |
540000 |
4590 |
OK |
Left
Top + Right Bottom |
2026.88 |
1064.11 |
486.9 |
577.21 |
900 |
600 |
540000 |
4590 |
OK |
General Data: |
Column No. |
: |
C22 |
|
Joint at Level |
: |
7.858 m |
|
Check At Beam-Column Joints: |
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1. Flexure Strength Of Joint: |
Moment Capacity Calculations for
Beam |
Concrete Grade,fck |
= |
C25 |
N/sqmm |
Steel Grade,fy |
= |
Fy420 |
N/sqmm |
Beam Size |
Beam angle w.r.t. column Ly |
Torsion moment |
Moment Capacity for Top Reinforcement |
Moment Capacity for Bottom Reinforcement |
Resultant Moment |
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|
Mu |
Ast Req |
Ast Pro |
Mu Cap |
Mu |
Ast Req |
Ast Pro |
Mu Cap |
Top @ D |
Top @ B |
Bot @ D |
Bot @ B |
450 x 800 |
0 |
0 |
563.83 |
2136.73 |
2292.16 |
601.88 |
0 |
1068.37 |
1140.12 |
310.51 |
601.88 |
0 |
310.51 |
0 |
500 x 800 |
90 |
0.61 |
647.81 |
2461.06 |
2578.68 |
676.5 |
0 |
1230.53 |
1266.8 |
345.01 |
0 |
676.5 |
0 |
345.01 |
300 x 900 |
180 |
0.27 |
483.03 |
1613.77 |
1719.12 |
512.3 |
0 |
806.89 |
886.76 |
273.66 |
512.3 |
0 |
273.66 |
0 |
400 x 600 |
270 |
0.28 |
567.85 |
3229.13 |
3546.97 |
613.22 |
0 |
1614.56 |
1626.2 |
310.84 |
0 |
613.22 |
0 |
310.84 |
Effective Moment for Beam |
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|
Check for Column Flexural Capacity |
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2. Shear Strength of Joint: |
Beams Along D |
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|
Shear Checks |
Conditions |
AST-Total
(sqmm) |
V-Reinf
(kN) |
Vuy(kN) |
Vj
(Shear Demand) (kN) |
B'
(mm) |
D'
(mm) |
Aj
(sqmm) |
Vn'
(kN) |
Vj
< Vn' |
Right
Top + Left Bottom |
3178.92 |
1668.93 |
875.54 |
793.4 |
600 |
900 |
540000 |
4590 |
OK |
Left
Top + Right Bottom |
2859.24 |
1501.1 |
875.54 |
625.56 |
600 |
900 |
540000 |
4590 |
OK |
Beams Along B |
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|
Shear Checks |
Conditions |
AST-Total
(sqmm) |
V-Reinf
(kN) |
Vux(kN) |
Vj
(Shear Demand) (kN) |
B'
(mm) |
D'
(mm) |
Aj
(sqmm) |
Vn'
(kN) |
Vj
< Vn' |
Right
Top + Left Bottom |
4204.88 |
2207.56 |
987.34 |
1220.22 |
900 |
600 |
540000 |
4590 |
OK |
Left
Top + Right Bottom |
4813.77 |
2527.23 |
987.34 |
1539.89 |
900 |
600 |
540000 |
4590 |
OK |
General Data: |
Column No. |
: |
C22 |
|
Joint at Level |
: |
12.058 m |
|
Check At Beam-Column Joints: |
|||
1. Flexure Strength Of Joint: |
Moment Capacity Calculations for
Beam |
Concrete Grade,fck |
= |
C25 |
N/sqmm |
Steel Grade,fy |
= |
Fy420 |
N/sqmm |
Beam Size |
Beam angle w.r.t. column Ly |
Torsion moment |
Moment Capacity for Top Reinforcement |
Moment Capacity for Bottom Reinforcement |
Resultant Moment |
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|
|
|
Mu |
Ast Req |
Ast Pro |
Mu Cap |
Mu |
Ast Req |
Ast Pro |
Mu Cap |
Top @ D |
Top @ B |
Bot @ D |
Bot @ B |
450 x 800 |
0 |
0 |
526.57 |
1986.13 |
2005.64 |
531.42 |
0 |
993.07 |
1013.44 |
277.05 |
531.42 |
0 |
277.05 |
0 |
500 x 800 |
90 |
0.69 |
622.63 |
2358.55 |
2382.72 |
628.58 |
0 |
1179.28 |
1266.8 |
345.01 |
0 |
628.58 |
0 |
345.01 |
300 x 900 |
180 |
0.48 |
464.11 |
1546.22 |
1588.48 |
475.96 |
0 |
773.11 |
886.76 |
273.66 |
475.96 |
0 |
273.66 |
0 |
400 x 600 |
270 |
0.46 |
562.24 |
3190.69 |
3546.97 |
613.22 |
0 |
1595.34 |
1626.2 |
310.84 |
0 |
613.22 |
0 |
310.84 |
Effective Moment for Beam |
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|
Check for Column Flexural Capacity |
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2. Shear Strength of Joint: |
Beams Along D |
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|
Shear Checks |
Conditions |
AST-Total
(sqmm) |
V-Reinf
(kN) |
Vuy(kN) |
Vj
(Shear Demand) (kN) |
B'
(mm) |
D'
(mm) |
Aj
(sqmm) |
Vn'
(kN) |
Vj
< Vn' |
Right
Top + Left Bottom |
2892.4 |
1518.51 |
805.07 |
713.44 |
600 |
900 |
540000 |
4590 |
OK |
Left
Top + Right Bottom |
2601.92 |
1366.01 |
805.07 |
560.94 |
600 |
900 |
540000 |
4590 |
OK |
Beams Along B |
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|
Shear Checks |
Conditions |
AST-Total
(sqmm) |
V-Reinf
(kN) |
Vux(kN) |
Vj
(Shear Demand) (kN) |
B'
(mm) |
D'
(mm) |
Aj
(sqmm) |
Vn'
(kN) |
Vj
< Vn' |
Right
Top + Left Bottom |
4008.92 |
2104.68 |
958.23 |
1146.46 |
900 |
600 |
540000 |
4590 |
OK |
Left
Top + Right Bottom |
4813.77 |
2527.23 |
958.23 |
1569 |
900 |
600 |
540000 |
4590 |
OK |
General Data: |
Column No. |
: |
C22 |
|
Joint at Level |
: |
16.258 m |
|
Check At Beam-Column Joints: |
|||
1. Flexure Strength Of Joint: |
Moment Capacity Calculations for
Beam |
Concrete Grade,fck |
= |
C25 |
N/sqmm |
Steel Grade,fy |
= |
Fy420 |
N/sqmm |
Beam Size |
Beam angle w.r.t. column Ly |
Torsion moment |
Moment Capacity for Top Reinforcement |
Moment Capacity for Bottom Reinforcement |
Resultant Moment |
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|
|
|
Mu |
Ast Req |
Ast Pro |
Mu Cap |
Mu |
Ast Req |
Ast Pro |
Mu Cap |
Top @ D |
Top @ B |
Bot @ D |
Bot @ B |
450 x 800 |
0 |
0 |
390.1 |
1446.98 |
1499.52 |
403.61 |
0 |
957.86 |
1013.44 |
277.05 |
403.61 |
0 |
277.05 |
0 |
500 x 800 |
90 |
1.09 |
469.66 |
1748.92 |
1824.76 |
488.99 |
0 |
1064.29 |
1140.12 |
311.56 |
0 |
488.99 |
0 |
311.56 |
300 x 900 |
180 |
0.67 |
368.19 |
1209.77 |
1300.96 |
394.47 |
0 |
724.29 |
760.08 |
235.74 |
394.47 |
0 |
235.74 |
0 |
400 x 600 |
270 |
0.37 |
429.38 |
2330.48 |
2406.88 |
441.74 |
0 |
1165.24 |
1266.8 |
246.3 |
0 |
441.74 |
0 |
246.3 |
Effective Moment for Beam |
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|
Check for Column Flexural Capacity |
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|
2. Shear Strength of Joint: |
Beams Along D |
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|
Shear Checks |
Conditions |
AST-Total
(sqmm) |
V-Reinf
(kN) |
Vuy(kN) |
Vj
(Shear Demand) (kN) |
B'
(mm) |
D'
(mm) |
Aj
(sqmm) |
Vn'
(kN) |
Vj
< Vn' |
Right
Top + Left Bottom |
2259.6 |
1186.29 |
671.51 |
514.78 |
600 |
900 |
540000 |
4590 |
OK |
Left
Top + Right Bottom |
2314.4 |
1215.06 |
671.51 |
543.55 |
600 |
900 |
540000 |
4590 |
OK |
Beams Along B |
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|
Shear Checks |
Conditions |
AST-Total
(sqmm) |
V-Reinf
(kN) |
Vux(kN) |
Vj
(Shear Demand) (kN) |
B'
(mm) |
D'
(mm) |
Aj
(sqmm) |
Vn'
(kN) |
Vj
< Vn' |
Right
Top + Left Bottom |
3091.56 |
1623.07 |
753.3 |
869.76 |
900 |
600 |
540000 |
4590 |
OK |
Left
Top + Right Bottom |
3547 |
1862.18 |
753.3 |
1108.87 |
900 |
600 |
540000 |
4590 |
OK |