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document.xls  

SLAB-COLUMN MOMENT SHEAR TRANSFER Christy

TANK SUPPORT 10:46

04/08/23Column Moment Transfer to DeckAt column 39 to 139 Seismic

ENGINEERING with the SPREADSHEETCopyright 2006 American Society of Civil Engineers

A B C D E F G H I J K L M N

SHEAR14 ft14 ft

dia 24.0 in circular column

Slab12.0 ft Beam

d 36.0 in60.0 in

188 in shear cone perimeter ACI 11.12.1.2perimeter needs not to approachthe periphery of the loaded areacloser than d/2

Mu req 1174 k-ft_ult460 k_ult

1459 k as defined in ACI 11.12.2.1 per 11.12.6.2row 30

Ф 0.85 unitless strength reduction factor0.183 ksi members without shear reinforcement

ACI 11.12.6.2 (11-40)0.85 * 1,459 /(188 * 36.0)

Figure 50-1 FRAMING LAYOUT PLAN 0.0 k additional shear capacity due to stirrups and bent-up bars

0.183 ksi0.85 * (1,459.0 + 0.0) /(188.5 * 36.0)

row 400.183 ksi_ult maximum shear stress allowed Lateral force

1296000 36.0 * (24.0 + 36.0)^3 /6466560 (24.0 + 36.0) * 36.0^3 /6

3888000 36.0 * (24.0 + 36.0) * (24.0 + 36.0)^2 /2

5650560 polar moment of inertia Figure 50-2 -- The column-slab joint applied force

and reaction.

6786 punching shear area

188.5 * 36.0 row 50

0.60 ratio % of moment transfered by flexure ACI 13.5.3.2 (13-1)

1 /(1 + 2/3 * √ 1.0 /1.0 V - Shear

0.40 ratio % of moment transfered by shear ACI 11.12.6.1 (11-41)

1 - 0.60

0.073 ksi moment transfered by shear

Moment

460.0 /6,786 + 0.40 * 1,174.0 * 60.0 /5,650,560 Figure 50-3 -- Shear stress at the critical section.

157.2 k_ult 0.073 * 36.0 * 60.0

0.068 ksi_ult 460.0 /6,786 required

0.141 ksi_ult

0.068 + 0.073OK 0.141 required < 0.183 allowed

303.6 k_ult0.141 * 60.0 * 36.0

L 1 L 2

L 2 L n

b 1

bo L 2

c 2 Vu reqVc

Note: Get Vc from punching shear calculations.

Ф vn c 1 L n L 1 L 1

Vs

Ф vn Ф vn = vu

vu max

Jc

Jc in4

Ac in2

γf

γv

vu transfer

Vu / Ac + γv Mu b 1 / Jc

Vu Note: This is similar to: P/A + Mc/I

vu punching

vu sum vu transfer + vu punching required

vu b 1 d punching shear at critical face

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Page 50 - 2  

document.xls  

SLAB-COLUMN MOMENT SHEAR TRANSFER Christy

TANK SUPPORT 10:46

04/08/23Column Moment Transfer to DeckAt column 39 to 139 Seismic

ENGINEERING with the SPREADSHEETCopyright 2006 American Society of Civil Engineers

A B C D E F G H I J K L M N

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row 70