RCC72 Stairs & Landings - Multiple.xls

	B	C	D	E	F	G	H	I	J	K	L	M	N	O	P	Q	R	S	T	U	V	W	X	Y
1														OPERATING INSTRUCTIONS
2	Project	Spreadsheets to BS 8110								REINFORCED CONCRETE COUNCIL				ENTER DATA IN BLUE CELLS ONLY.	Min As =	0.13%	=	PROVIDE
3	Client	Advisory Group								Made by		Date	Page	RED MESSAGES INDICATE ENTRY ERRORS.	K' =	0.155775	T	+
4	Location	North Staircase								RMW		1-Feb-26	109	ADJUST SLAD DEPTH FOR EACH FLIGHT/LANDING	3
5		REINFORCED CONCRETE STAIRCASES to BS 8110:1997								Checked		Revision	Job No	NOTE: Does not check FLIGHTS FOR BUILDING REGS
6		Originated from RCC72.xls on CD © 1999 BCA for RCC								chg		-	R68	COMPLIANCE
7
8	MATERIALS										Plans
9	fcu	35	N/mm²		gm	1.5	concrete
10	fy	460	N/mm²		gm	1.05	steel							�
11	h agg	20	mm		Density	23.6	kN/m³							�	Width	2.65
12	Cover	20	mm		(Normal weight concrete)									�	Top storey length	4.90
13														4.90 by 2.65 m wide internally (excluding B)	Typ storey length	4.90
14	DIMENSIONS			No of Flights =	6									�	Top storey length	4.90
15	A =	1200	mm	B =	150	mm bearing
16	C =	250	mm	Going =	250	mm
17
18	L1 =	1200	mm	F1 =	2500	mm	10 treads							�
19	L2 =	1200	mm	F2 =	2500	mm	10 treads							�
20	L3 =	1200	mm	F3 =	2500	mm	10 treads							�
21	L4 =	1200	mm	F4 =	2500	mm	10 treads							�
22	L5 =	1200	mm	F5 =	2500	mm	10 treads							�
23	L6 =	750	mm	F6 =	2500	mm	10 treads							�
24														4.90 by 2.65 m wide internally (excluding B)
25	STOREY	HEIGHT		RISERS	RISE		RAKE							�
26	Lower	3500	mm	22 treads	159.1	mm	32.5 º								Rake =	0.5667292175	rads
27	Typical	3500	mm	22 treads	159.1	mm	32.5 º								Rake =	0.5667292175	rads
28	Upper	3500	mm	22 treads	159.1	mm	32.5 º								Rake =	0.5667292175	rads
29
30	LOADING		Imposed	4.00	kN/m²
31			Flight finishes	0.50	kN/m²
32			Landing finishes	1.30	kN/m²									4.90 by 2.65 m wide internally (excluding B)
33
34	FLIGHT 1
35	Waist =	150	mm	a =	2.350	m									M	15.60	fs	281		333.4931047
36				b =	0.600	m									Ø	10	Base ratio	20
37	Waist	4.20		L =	2.950	m									d	125	Tens mod	1.410633416
38	Steps	1.88													K	0.0285	L/d	23.600
39	Finishes	0.50													z	118.75	Allowed	28.213
40		6.57	kN/m²												As/m	300	<
41	n1 =	1.4x6.57+1.6x4.00			14.60	kN/m		22.06	kN/m						= %	0.2399	As increased by	1.000
42	=	15.60	kN/m²												n	5
43	M =	22.06 x 1.414 / 2 = 15.60 kNm/m						d =	125 mm		K =	0.0285			As prov	393	S	270
44	As =	360 mm²				PROVIDE 5 T10 @ 270 B	= 393 mm²		L/d =	23.600 < 28.213 allowed			OK
45							0
46	FLIGHT 2														zero V	1.850
47	Waist =	150	mm	a =	2.500	m	b =	0.600	m	c =	0.600	m			M	23.89	fs	189
48				L =	3.700	m									Ø	12	Base ratio	20
49	Waist	4.20													d	124	Tens mod	1.529097685
50	Steps	1.88													K	0.0444	L/d	29.839
51	Finishes	0.50													z	117.55	Allowed	30.582
52		6.57	kN/m²	n2 =	15.60	kN/m²		19.50	kN/m		19.50	kN/m			As/m	464	<
53															= %	0.3741	As increased by	1.536
54	M =	19.50 x ( 1.850 - 0.625 ) = 23.89 kNm/m						d =	124 mm		K =	0.0444			n	8
55	As =	557 mm²				PROVIDE 8 T12 @ 150 B	= 905 mm²		L/d =	29.839 < 30.582 allowed			OK		As prov	905	S	150
56							As increased by 53.6 % for deflection
57
58	Project	Spreadsheets to BS 8110								REINFORCED CONCRETE COUNCIL
59	Client	Advisory Group								Made by		Date	Page
60	Location	North Staircase								RMW		1-Feb-26	110
61		REINFORCED CONCRETE STAIRCASES to BS 8110:1997								Checked		Revision	Job No
62		Originated from RCC72.xls on CD © 1999 BCA for RCC								chg		-	R68			0.2411	0.7589
63
64	LANDING 1	+1.750 m													M	24.48	fs	258		SHEAR	X BAR	Vfl	Vla	M
65	h =	150	mm	L =	2.800	m									Ø	12	Base ratio	20	rhs n	35.780	1.291	19.761	17.008	24.472
66															d	124	Tens mod	1.281954863	lhs n	0.466	1.310	19.503	17.265	24.477
67	Self wt	3.54		n1 =	14.60/1.20 =		12.17	kN/m²							K	0.0455	L/d	22.581		CHOOSE	1.310	19.503	17.265	24.477
68	Finishes	1.30		n2 =	19.50/1.20 =		16.25	kN/m²							z	117.38	Allowed	25.639		11.312	12.392
69		4.84	kN/m²			na = 1.4x4.84+1.6x4.0 =	13.18	kN/m²	34.23	kN/m		36.77	kN/m		As/m	476	<
70															= %	0.3839	As increased by	1.009
71	M =	36.77 x 1.310 - 11.31 - 12.39 = 24.48 kNm/m						d =	124 mm		K =	0.0455			n	6
72	As =	571 mm²				PROVIDE 6 T12 @ 220 B	= 679 mm²		L/d =	22.581 < 25.639 allowed			OK		As prov	679	S	220
73							As increased by 0.9 % for deflection
74	FLIGHT 3														zero V	1.850
75	Waist =	150	mm	a =	2.500	m	b =	0.600	m	c =	0.600	m			M	23.89	fs	189
76				L =	3.700	m									Ø	12	Base ratio	20
77	Waist	4.20													d	124	Tens mod	1.529097685
78	Steps	1.88													K	0.0444	L/d	29.839
79	Finishes	0.50													z	117.55	Allowed	30.582
80		6.57	kN/m²	n3 =	15.60	kN/m²		19.50			19.50				As/m	464	<
81															= %	0.3741	As increased by	1.536
82	M =	19.50 x ( 1.850 - 0.625 ) = 23.89 kNm/m						d =	124 mm		K =	0.0444			n	8
83	As =	557 mm²				PROVIDE 8 T12 @ 150 B	= 905 mm²		L/d =	29.839 < 30.582 allowed			OK		As prov	905	S	150
84							As increased by 53.6 % for deflection
85	LANDING 2	+3.500 m													M	26.08	fs	276		SHEAR	X BAR	Vfl	Vla	M
86	h =	150	mm	L =	2.800	m									Ø	12	Base ratio	20	rhs n	36.961	1.331	20.413	17.537	26.020
87															d	124	Tens mod	1.194947085	lhs n	1.647	1.400	19.503	18.446	26.077
88	Self wt	3.54		n3 =	16.25	kN/m²									K	0.0485	L/d	22.581		CHOOSE	1.400	19.503	18.446	26.077
89	Finishes	1.30		n2 =	16.25	kN/m²									z	116.92	Allowed	23.899		12.912	14.140
90		4.84	kN/m²	nb =	13.18	kN/m²		37.95			37.95				As/m	509	<
91															= %	0.4106	As increased by	1.034
92	M =	37.95 x 1.400 - 12.91 - 14.14 = 26.08 kNm/m						d =	124 mm		K =	0.0485			n	6
93	As =	611 mm²				PROVIDE 6 T12 @ 220 B	= 679 mm²		L/d =	22.581 < 23.899 allowed			OK		As prov	679	S	220
94							As increased by 3.4 % for deflection
95	FLIGHT 4														zero V	1.850
96	Waist =	150	mm	a =	2.500	m	b =	0.600	m	c =	0.600	m			M	23.89	fs	189
97				L =	3.700	m									Ø	12	Base ratio	20
98	Waist	4.20													d	124	Tens mod	1.529097685
99	Steps	1.88													K	0.0444	L/d	29.839
100	Finishes	0.50													z	117.55	Allowed	30.582