circular beam.xls

	A	B	C	D	E	J	K	L	M	N	O
1
2	Circular Beam
3						No of supports	2Ѳ	Co-efficients
4	Dimensions of Ring Beam					No of supports	degrees	C1	C2	C3	Φm
5	Radius	r =	6.30 mts			4	90	0.137	0.07	0.021	19 1/4
6	No of supports	n =	8 nos			5	72	0.108	0.054	0.014	15 1/4
7						6	60	0.089	0.045	0.009	12 3/4
8						7	51 3/7	0.077	0.037	0.007	10 3/4
9						8	45	0.066	0.03	0.005	9 1/2
10	Constants	Ѳ =	23 deg	0.3927 radians		9	40	0.06	0.027	0.04	8 1/2
11		Φm =	9 1/2	0.1658 radians		10	36	0.054	0.023	0.003	7 1/4
12						12	30	0.045	0.017	0.002	6 1/4
13		C1 =	0.066
14		C2 =	0.03
15		C3 =	0.005
16
17	Loading
18		Wu =	10 KN/m
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20
21		Φ	FΦ	MΦ	Mmt
22		Φ	Shear Force	Bending Moment	Torsional Moment
23		deg	KN	KN-m	KN-m
24		0	24.74	-20.62	0.00
25		9 1/2	14.29	-0.05	1.57
26		22 1/2	0.00	10.39	0.00
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28
29	Beam Data
30		width	300 mm
31		depth	600 mm
32
33	Equivalent Shear
34		Ve = V+1.6(T/b) =	33 KN		T=MΦ
35
36
37	Equivalent Moment
38		Mt = T((1+D/b)/1.7) =	1 KN-m	Mt = BM due to torsion
39		Me1 = M+Mt =	22 KN-m	Me1 = Equivalent BM on tension side
40		Me2 = M-Mt =	20 KN-m	Me2 = Equivalent BM on compression side
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