TCC13 Slab Punching

Project Spreadsheets to EC2 The Concrete Centre Client Advisory Group Made by Date Page

Location ECBP Typical Floor Column B3 rmw 19-Apr-2023 197

PUNCHING SHEAR to BS EN 1992-1: 2004 INTERNAL Checked Revision Job No

v4.0 on CD © 2003-23 TCC COLUMN chg - FB625

MATERIALS 30 STATUS LEGEND

500 VALID DESIGN

Steel class C .

DIMENSIONS A mm 600 E mm 0B mm 600 F mm 0

G mm 0 H mm 0

LOADING kN 2005.5 Mty = kNm 400.0

ult UDL 19.76 Mtz = kNm 300.0

ß = 1.286 to expression (6.43)

SLAB dx mm 365 Asx 3140 in B + 6d ρx = 0.860h mm 400 dy mm 345 Asy 3140 in A + 6d ρy = 0.910

d mm 355 100ρL % = 0.885

RESULTS 2578.7 kN 0.6267 Equation (6.47)

At col. face, vEd = 3.016 1.0550 0.84174Uout required = 11592 (≈ 1,569 from col face) Equation (6.54)

SOLUTION Fig 6.22 (A)

12 link spurs of 5C16 @ 265 84 links

plus 12 spurs of 2C16 @ 265St = 278.25 mm Sr = 265 mm

Asw/Sr req = 7.899 (6.52) & (9.11)

Asw/Sr prov = 9.105 mmFirst link perimeter 175 mm from column face

Outer links at 1235 mm from column face

Uout = 13262 mm > 11,592 mm SPUR

See GEOMETRY page for link locations. PLANSome links shown may need to be re-located to avoid holes.

Originated from TCC13.xls

fck N/mm2

fyk N/mm2

VEd

kN/m2

mm2/m

mm2/m

βVEd = vRd,c = N/mm2

N/mm2 At 2d perimeter, vEd,red = N/mm2

Project Spreadsheets to EC2 The Concrete Centre

Client Advisory Group Made by Date Page

Location Column B2 rmw 19-Apr-2023 198

PUNCHING SHEAR to BS EN 1992-1: 2004 EDGE Checked Revision Job No

Originated from TCC13.xls v4.0 on CD © 2003-23 TCC COLUMN chg - FB625

MATERIALS fck 30 STATUS LEGEND

fyk 500 VALID DESIGN

Steel class C .

DIMENSIONS A mm 400 E mm -75

B mm 250 F mm -275

G mm 150

D mm 50 H mm 150

LOADING kN 405 Mtz = kNm 32.3ult UDL 19.76 Mty = kNm 8.5

ß = 1.144 to expression (6.44)

SLAB dx mm 365 Asx 2010 in B + 3d+ ρx = 0.551

h mm 400 dy mm 345 Asy 1340 in A + 6d ρy = 0.388

d mm 355 100ρL % = 0.462


At col. face, vEd = 1.732 0.5746 0.569153

Uout required = 2586 (≈ See Fig 6.22B) Equation (6.54)

SOLUTION Fig 6.22 (B)


.St (average) = 200 mm Sr = 265 mm

Asw/Sr req = 0.872 (6.52) & (9.11)

Asw/Sr prov = 1.707 mm

First link perimeter 175 mm from column faceOuter links at 705 mm from column face

Uout = 4372.9 mm > 2,586 mm SPUR


N/mm2

N/mm2

VEd

kN/m2

mm2/m

mm2/m




Location Columns A1, D1, A5 & D5 rmw 19-Apr-2023 199

PUNCHING SHEAR to BS EN 1992-1: 2004 CORNER Checked Revision Job No




Steel class C .

DIMENSIONS A mm 400 E mm 50

B mm 250 F mm -275C mm 0 G mm 150

D mm 0 H mm 150

LOADING kN 186.0 ß = 1.226ult UDL 19.76 to expression (6.46)

SLAB dx mm 365 Asx 2010 in B + 3d+ ρx = 0.551h mm 400 dy mm 345 Asy 2010 in A + 3d+Cρy = 0.583

d mm 355 100ρL % = 0.566


At col. face, vEd = 1.344 0.6364 0.589139Uout required = 1189 (≈ 396 from col face) Equation (6.54)

SOLUTION Fig 6.22 (B)


.

St (average) = 177.5 mm Sr = 265 mmAsw/Sr req = 0.454 (6.52) & (9.11)

Asw/Sr prov = 1.138 mmFirst link perimeter 175 mm from column face


Uout = 2336.4 mm > 1,189 mm SPUR


N/mm2

N/mm2

VEd

kN/m2

mm2/m

mm2/m




Location An example rmw 19-Apr-2023 200

PUNCHING SHEAR to BS EN 1992-1: 2004 RE-ENTRANT Revision Job No




Steel class C .

DIMENSIONS A mm 400 E mm 200

B mm 350 F mm -50C mm -100 G mm 100

D mm -100 H mm 100

LOADING kN 662.0 Mty = kNm 28.6ult UDL 19.76 Mtz = kNm 14.8

ß = 1.064 to expressions (6.39) & (6.44)

SLAB dx mm 365 Asx 1340 in B + 6d ρx = 0.367h mm 400 dy mm 345 Asy 1340 in A + 6d ρy = 0.388

d mm 355 100ρL % = 0.378


At col. face, vEd = 1.646 0.4713 0.499437Uout required = 3953 (≈ See Fig 6.22B) Equation (6.54)

No links required Fig 6.22 (B)


.St (average) = 205 mm Sr = 265 mm

Asw/Sr req = 0.968 (6.52) & (9.11)Asw/Sr prov = 2.276 mm

First link perimeter 175 mm from column face


Uout = 6359.3 mm > 3,953 mm SPUR


N/mm2

N/mm2

VEd

kN/m2

mm2/m

mm2/m



LINK CONFIGURATIONS

8 SPURS 12 SPURS

St=

( A2+B2)4+a ( A+B )+2a2

(A+2a )St=

12 {− (A+B+4 a )−√ ( A+B+4a )2−4 [ A2+B24

+a (A+B )+2a2 ]}

Charting Data 1.41421

INTERNAL 0.57735Spur 1060 First at 175 0.86603

Column 0 0 600 600 00 600 600 0 0

E-W -1235.0 -175.0 775.0 1835.0 -1235.0 -175.0 775.0 1835.0 1300.0 300.0 300.0 300.0 300.0 300.0 300.0 300.0 1

N-S 300.0 300.0 300.0 300.0 300.0 300.0 300.0 300.0-175.0 -1235.0 775.0 1835.0 -175.0 -1235.0 775.0 1835.0

NW+NE -175.0 -924.5 775.0 1524.5 0.0 0.0 0.0 0.0775.0 1524.5 775.0 1524.5 0.0 0.0 0.0 0.0

SW+SE -175.0 -924.5 775.0 1524.5 0.0 0.0 0.0 0.0-175.0 -924.5 -175.0 -924.5 0.0 0.0 0.0 0.0

NNW+NNE 25.8 -586.2 574.2 1186.2 25.8 -586.2 574.2 1186.2775.0 1693.0 775.0 1693.0 775.0 1693.0 775.0 1693.0

WNW+ENE -175.0 -1093.0 775.0 1693.0 -175.0 -1093.0 775.0 1693.0574.2 1186.2 574.2 1186.2 574.2 1186.2 574.2 1186.2

SSW+SSE 25.8 -586.2 574.2 1186.2 25.8 -586.2 574.2 1186.2-175.0 -1093.0 -175.0 -1093.0 -175.0 -1093.0 -175.0 -1093.0

WSW+ESE -175.0 -1093.0 775.0 1693.0 -175.0 -1093.0 775.0 1693.025.8 -586.2 25.8 -586.2 25.8 -586.2 25.8 -586.2

EW B1 -1235.0 -175.0 775.0 1835.0 0.0 0.0 0.0 0.0 370-70.0 -70.0 -70.0 -70.0 0.0 0.0 0.0 0.0 3

EW B2 670.0 670.0 670.0 670.0 0.0 0.0 0.0 0.0EW B3 300.0 300.0 300.0 300.0 0.0 0.0 0.0 0.0 Square itEW B4 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1235.0 1835.0 3070

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1235.0 1835.0 3070EW B5 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1835

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1835EW B6 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0NS B1 -70.0 -70.0 -70.0 -70.0 0.0 0.0 0.0 0.0 370NS B2 670.0 670.0 670.0 670.0 0.0 0.0 0.0 0.0 3NS B3 300.0 300.0 300.0 300.0 0.0 0.0 0.0 0.0

-175.0 -1235.0 775.0 1835.0 0.0 0.0 0.0 0.0NS B4 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0NS B5 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0NS B6 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0Hole 300 300 300 300 300 300 300 300 300

300 300 300 300 300 300 300 300 300Extra 162.9 -143.1 437.1 743.1 437.1 743.1 162.9 -143.1 0.6

-175.0 -1164.0 775.0 1764.0 -175.0 -1164.0 775.0 1764.0-20.7 -143.1 620.7 743.1 620.7 743.1 -20.7 -143.1

-768.4 -1164.0 1368.4 1764.0 -768.4 -1164.0 1368.4 1764.0-1164.0 -175.0 775.0 1764.0 -1164.0 -175.0 775.0 1764.0743.1 437.1 437.1 743.1 -143.1 162.9 162.9 -143.1

-1164.0 -768.4 1368.4 1764.0 -1164.0 -768.4 1368.4 1764.0743.1 620.7 620.7 743.1 -143.1 -20.7 -20.7 -143.1-74.6 -839.6 674.6 1439.6 -74.6 -839.6 674.6 1439.6674.6 1439.6 674.6 1439.6 -74.6 -839.6 -74.6 -839.6-533.6 -839.6 1133.6 1439.6 -533.6 -839.6 1133.6 1439.61133.6 1439.6 1133.6 1439.6 -533.6 -839.6 -533.6 -839.6

EDGESpur 530 First at 175

Column 0 0 400 400 00 250 250 0 0

E-W1 -705.0 -175.0 575.0 1105.0 0.0 0.0 0.0 0.0 1125.0 125.0 125.0 125.0 0.0 0.0 0.0 0.0 1

E-W2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

N-S 200.0 200.0 0.0 0.0-175.0 -705.0 0.0 0.0

SW+SE -100.0 -474.8 500.0 874.8 0.0 0.0 0.0 0.0-175.0 -549.8 -175.0 -549.8 0.0 0.0 0.0 0.0

WSW+ESE -175.0 -634.0 575.0 1034.0 0.0 0.0 0.0 0.0-91.5 -356.5 -91.5 -356.5 0.0 0.0 0.0 0.0

SSW+SSE 26.8 -238.2 373.2 638.2 0.0 0.0 0.0 0.0-175.0 -634.0 -175.0 -634.0 0.0 0.0 0.0 0.0

EW B1 -705.0 -175.0 575.0 1105.0 -705.0 -175.0 575.0 1105.0 165-70.0 -70.0 -70.0 -70.0 -70.0 -70.0 -70.0 -70.0 3

EW B2 210.0 210.0 210.0 210.0 210.0 210.0 210.0 210.0EW B3 95.0 95.0 95.0 95.0 95.0 95.0 95.0 95.0 Square itEW B4 0.0 0.0 0.0 0 0.0 0.0 0.0 0.0 -882.5 1282.5 2165

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -705.0 300.0 1005EW B5 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1282.5

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1460EW B6 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0NS B1 & B2 -70.0 -70.0 470.0 470.0 -70.0 -70.0 470.0 470.0 270

-175.0 -705.0 -175.0 -705.0 -175.0 -705.0 -175.0 -705.0 3NS B4 & B5 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0NS B6 & B3 0.0 0.0 200.0 200.0 0.0 0.0 200.0 200.0

0.0 0.0 -175.0 -705.0 0.0 0.0 -175.0 -705.0Edge D -882.5 1282.5

300 300Hole 125 125 275 275 125 125 275 125 275

-150 0 0 -150 -150 -150 0 0 -150Extra -669.5 -175.0 575.0 1069.5 113.4 -19.1 286.6 419.1 0

-115.8 16.7 16.7 -115.8 -175.0 -669.5 -175.0 -669.50.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

-74.1 -436.1 474.1 836.1-133.3 -495.2 -133.3 -495.2

0.0 0.0 0.0 0.00.0 0.0 0.0 0.0

CORNERSpur 530 First at 175

Column 0 0 400 400 00 250 250 0 0

E-W 1105.0 575.0 0.0 0.0 0.0 0.0 0.0 0.0 1125.0 125.0 0.0 0.0 0.0 0.0 0.0 0.0 1

N-S 200.0 200.0 0.0 0.0 0.0 0.0 0.0 0.0 Square it-175.0 -705.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1282.5 1282.5

SE 507.5 882.3 0.0 0.0 -882.5 250.0 1132.5-175.0 -549.8 0.0 0.0 1282.5

ESE+SSE 575.0 1034.0 400.7 665.7 0.0 0.0 0.0 0.0 400-75.7 -340.7 -175.0 -634.0 0.0 0.0 0.0 0.0

EW B1 & 2 1105.0 575.0 1105.0 575.0 1105.0 575.0 1105.0 575.0 140-70.0 -70.0 210.0 210.0 -70.0 -70.0 210.0 210.0 3

EW B4 & B5 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

EW B6 & B3 0.0 0.0 1105.0 575.0 0.0 0.0 1105.0 575.00.0 0.0 70.0 70.0 0.0 0.0 70.0 70.0

NS B1 & B2 40.0 40.0 470.0 470.0 40.0 40.0 470.0 470.0 215-175.0 -705.0 -175.0 -705.0 -175.0 -705.0 -175.0 -705.0 3

NS B4 & B5 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

NS B6 & B3 0.0 0.0 255.0 255.0 0.0 0.0 255.0 255.00.0 0.0 -175.0 -705.0 0.0 0.0 -175.0 -705.0

Edge 0 0 0 1282.5-882.5 250 250 250

Hole 250 250 400 400 250 250 400 250 400-150 0 0 -150 -150 -150 0 0 -150

Extra 1069.5 575.0 300.3 432.8 487.8 849.8 0-107.8 24.7 -175.0 -669.5 -125.3 -487.3

0.0 0.0 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 0.0 0.0

REENTRANTSpur 530 First at 175

Column 0 0 400 400 00 350 350 0 0

E-W1 1105.0 575.0 -705.0 -175.0 0.0 0.0 0.0 0.0 1175.0 175.0 175.0 175.0 0.0 0.0 0.0 0.0 1 Square it

N-S2&E-W2 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -882.5 1105.0 1987.50.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -705.0 1232.5 1937.5

N-S 200.0 200.0 200.0 200.0 0.0 0.0 200.0 200.0 1105-175.0 -705.0 525.0 1055.0 0.0 0.0 0.0 0.0 1282.5

NE 550.8 925.6 0.0 0.0 0.0 0.0525.0 899.8 0.0 0.0 0.0 0.0

SW+SE 550.8 925.6 -150.8 -525.6 0.0 0.0 0.0 0.0-175.0 -549.8 -175.0 -549.8 0.0 0.0 0.0 0.0

NNE+ENE 412.7 677.7 575.0 1034.0 0.0 0.0 0.0 0.0525.0 984.0 387.7 652.7 0.0 0.0 0.0 0.0

SSW+SSE -12.7 -277.7 412.7 677.7 0.0 0.0 0.0 0.0-175.0 -634.0 -175.0 -634.0 0.0 0.0 0.0 0.0

WSW+ESE -175.0 -634.0 575.0 1034.0 0.0 0.0 0.0 0.0-37.7 -302.7 -37.7 -302.7 0.0 0.0 0.0 0.0

EW B1 1105.0 575.0 -705.0 -175.0 1105.0 575.0 -705.0 -175.0 165 270 245 140-70.0 -70.0 -70.0 -70.0 -70.0 -70.0 -70.0 -70.0 3 3 3 3

EW B2 420.0 420.0 210.0 210.0 420.0 420.0 210.0 210.0 N S E WEW B3 175.0 175.0 70.0 70.0 175.0 175.0 70.0 70.0EW B4 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0EW B5 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0EW B6 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0NS B1 470.0 470.0 470.0 470.0 470.0 470.0 470.0 470.0 165NS B2 -70.0 -70.0 140.0 140.0 -70.0 -70.0 140.0 140.0 3NS B3 200.0 200.0 305.0 305.0 200.0 200.0 305.0 305.0

-175.0 -705.0 525.0 1055.0 -175.0 -705.0 525.0 1055.0NS B4 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0NS B5 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0NS B6 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0Edge 100 100 -882.5 0

350 1232.5 250 250Hole 400 400 500 500 400 400 500 400 500

125 225 225 125 125 125 225 225 125Extra 306.3 438.8 493.8 855.8 575.0 1069.5 1069.5 575.0 0

525.0 1019.5 456.3 818.3 281.3 413.8 -63.8 68.70.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

493.8 855.8 306.3 438.8 93.7 -38.8 -93.8 -455.8-106.3 -468.3 -175.0 -669.5 -175.0 -669.5 -106.3 -468.3

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0

-175.0 -669.568.7 -63.80.0 0.00.0 0.0

PUNCHING SHEAR to BS EN 1992-1: 2004

National Annex valuesOriginated from TCC13.xls v4.0 on CD © 2003-23 TCC

EC2 Ref Function Value CODE UK

Table 2.2 1.5 concrete 1.5 1.5

Table 2.2 1.15 steel 1.15 1.15

3.1.6 (1)P 1.00 strength factor (shear) 1 1

6.4.4(1) 0.18 punching shear basic stress 0.18 0.18

- = - 0.035 0.035 0.035

3.1.2(2) 50 √ 90 50 *

6.4.5 (3) 2.0 maximum punching stress

γc

γs

αcc

CRd,c

vmin x k3/2fck1/2

Cmax shear Limit to fck for shear strength * May be greater on the basis of tests

VEd/VRdc

May be greater on the basis of tests

Disclaimer

Status of spreadsheet

Public release version

Date Version Action8-Mar-10 TCC13 v4.0 Calculation of beta factors added. Updated to revised NA. 1400

4-Mar-10 TCC13 v3.10 VEd,max corrected to 0.5νfcd 1376

19-Sep-09 TCC13 v3.9 New routine for hole reductions at column faces. 1372

4-Sep-09 TCC13 v3.8 Correction to edge column face shear when hole on North face of column. 1349

10-Jun-09 TCC13 v3.7 Removal of possible innapropriate spacing failure when additional intermediate spurs added. 1350

29-Apr-09 TCC13 v3.6 1348

17-Dec-08 TCC13 v3.5 Correction to spurs being shown outside concrete area on grapic for REENTRANT columns. 1347

11-Jul-08 TCC13 v3.4 Option button to overide link diameter added. Button to supress solution to Fig 6.22(B) added. 1328

18-Oct-07 TCC13 v3.3 1307

15-Jun-07 TCC13 v3.2 Tangential spacing check improved for links within basic control perimeter. 1261

8-Feb-07 TCC13 v3.1 Data added for outer links. Β factor added to Uout required. 1265

28-Jun-06 TCC13 v3.0 v3 release. Page nos, User Guide and registration details amended. 1230

17-Mar-06 TCC13 v1.1 1283

4-May-05 TCC13 v1.0 1298

30-Oct-04 RCCen13 β7 Secondary spurs added when transverse spacing > 2d. 645

25-Feb-03 RCCen13 β6 607

19-Feb-03 RCCen13 β5 National Annex sheet added and referenced. Updated to final code. 601

22-Apr-02 RCCen13 β4 Rigorous hole reduction algorithms added. 610

31-Jan-02 RCCen13 β3 Re-written to final draft of EN. 560

5-Sep-01 RCCen13 β2 Notes added re re-spacing of links 434

22-Aug-01 RCCen13 β1 First issue for in-house comment 425

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Revision history TCC13 Slab Punching

Size (kB)

Minor correction to U0 for edge and corner columns.

Solution 6.22(B) adjusted for full compliance with clause 9.4.3. Solution 6.22(B) geometry sketch added.

Differentiation between flexure and shear for αcc.

UK NA maximum fck for shear added. RE-BADGED

Redundant link dia input removed. Enhancement terminology corrected. "Increase As" warnings added.

Documents

TCC13 Slab Punching