Column-Slab-Moment-Shear-Transfer (www.theengineeringcommunity.org).xls

	A	B	C	D	E	F	G	H	I	J	K	L	M	N	O
1	SLAB-COLUMN MOMENT
2	SHEAR TRANSFER													Christy
3	TANK SUPPORT													14:05	50
4														04/25/26
5					Column Moment Transfer to Deck
6					At column 39 to 139 Seismic
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8
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10	A	B	C	D	E	F	G	H	I	J	K	L	M	N
11	SHEAR
12	L 1	14	ft
13	L 2	14	ft
14	dia	24,0	in	circular column
15
16							Slab							L 2
17	L n	12,0	ft				Beam
18
19	d	36,0	in
20	b 1	60,0	in
21
22	bo	188	in	shear cone perimeter ACI 11.12.1.2
23				perimeter needs not to approach										L 2
24				the periphery of the loaded area
25				closer than d/2
26
27	Mu req	1174	k-ft_ult				c 2
28	Vu req	460	k_ult
29	Vc	1459	k	as defined in ACI 11.12.2.1 per 11.12.6.2
30		Note: Get Vc from punching shear calculations.												row 30
31	Ф	0,85	unitless	strength reduction factor
32	Ф vn	0,183	ksi	members without shear reinforcement				c 1	L n
33				ACI 11.12.6.2 (11-40)					L 1		L 1
34				0,85 * 1 459 /(188 * 36,0)
35									Figure 50-1 FRAMING LAYOUT PLAN
36	Vs	0,0	k	additional shear capacity due to stirrups and bent-up bars
37
38	Ф vn	0,183	ksi	Ф vn = vu
39				0,85 * (1 459,0 + 0,0) /(188,5 * 36,0)
40														row 40
41	vu max	0,183	ksi_ult	maximum shear stress allowed							Lateral force
42
43
44	Jc	1296000		36,0 * (24,0 + 36,0)^3 /6
45		466560		(24,0 + 36,0) * 36,0^3 /6
46		3888000		36,0 * (24,0 + 36,0) * (24,0 + 36,0)^2 /2
47	Jc	5650560	in4	polar moment of inertia					Figure 50-2 -- The column-slab joint applied force
48									and reaction.
49	Ac	6786	in2	punching shear area
50				188,5 * 36,0										row 50
51
52	γf	0,60	ratio	% of moment transfered by flexure ACI 13.5.3.2 (13-1)
53				1 /(1 + 2/3 * √ 1,0 /1,0						V - Shear
54
55	γv	0,40	ratio	% of moment transfered by shear ACI 11.12.6.1 (11-41)
56				1 - 0,60
57
58	vu transfer	0,073	ksi	moment transfered by shear
59				Vu / Ac + γv Mu b 1 / Jc						Moment
60				460,0 /6 786 + 0,40 * 1 174,0 * 60,0 /5 650 560					Figure 50-3 -- Shear stress at the critical section.
61	Vu	157,2	k_ult	0,073 * 36,0 * 60,0
62								Note: This is similar to: P/A + Mc/I
63	vu punching	0,068	ksi_ult	460,0 /6 786 required
64
65	vu sum	0,141	ksi_ult	vu transfer + vu punching required
66				0,068 + 0,073
67			OK 0,141 required < 0,183 allowed
68		303,6	k_ult	vu b 1 d punching shear at critical face
69				0,141 * 60,0 * 36,0
70														row 70
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