Planilha de Cálculo de Sistema de Bombeamento

Esta é uma pré-visualização de arquivo. Entre para ver o arquivo original

Autor
	A presente planilha tem como objetivo apoiar àqueles que necessitarem efetuar cálculos de instalações simples de bombeamento. as células
	seja profissionalmente, seja academicamente. No entanto, não é garantida de nenhuma forma a utilização de seus resultados, muito embora
	tenhamos usado o que de mais rigoroso oferece a literatura aberta.
	Os cálculos se iniciam pelo preenchimento das variáveis de projeto, que devem ser fornecidas pelo usuário através do preenchimento das
	células amarelas, que são as únicas acessíveis. O diâmetro é escolhido em uma norma para tubulações de aço, muito embora sejam fornecidas as
	opções de oito materiais diferentes. O usuário deve estar atento a esse detalhe!
	
	O autor agradece comentários e sugestões que podem ser enviados para mouralf@power.ufscar.br
	
									99
				Grato,
	
				Luiz Fernando de Moura
				Professor do Departamento de Engenharia Química da
				Universidade Federal de São Carlos
	
	O espírito associativo é um dos pilares de um país civilizado: filie-se à ABEQ!
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
											123
Fundamentos
	
E3
lw34
E4
7
E1
E2
lw12
Curva do Sistema
Como
e
então a Curva do Sistema é uma curva do tipo: H = a + b.Q2
Cavitação
Critério para não cavitar:
ATENÇÃO: Para o cálculo de E1 se deve usar o valor absoluto de P1
NPSHd > NPSHr + 1
Esquema de cálculo
	
												Acessórios	LS
	
				vRS								(Ski)S		P1	v1	z1
	
				DRS								(Leq)S
	
				DS		ReS				fS		lwS
															E2
				vS
	
				T
														H
						r, m		Material		e
	
				Fluido
	
				vD		ReD				fD		lwD
															E3
				DD
	
				DRD								(Leq)S
	
				vRD								(Ski)S		P4	v43	z4
	
												Acessórios	LD
Q
E3
E2
Exemplo de cálculo
	
		A figura representa um sistema de recalque de água com uma vazão de 28 m3/h.
	
		1o passo - Variáveis de projeto:
			Na planilha "Variáveis de Projeto" colocar o valor da vazão, da temperatura,
			digamos 25oC e selecionar o material da tubulação, digamos "Aço Comercial".
		2o passo - Dimensionar a Tubulação:
			Na planilha "Seleção de Diâmetro" colocar os valores das velocidades de sucção e descarga,
			digamos 1 m/s e 2 m/s, respectivamente.
			Como o tubo selecionado para a descarga não é SN40 e preferimos trabalhar com essa bitola,
			vamos diminuindo o valor da velocidade de descarga até acharmos um SN40 no banco de dados.
			Com 1,8 m/s encontramos o 3" S.N.40, cujo diâmetro interno é de 77,9 mm.
		3o passo - Demais variáveis de projeto:
			Nosso sistema tem as seguintes características:
			1. A linha de sucção tem comprimento total de 2 + 8 + 2 = 12 m.
			2. Coloquemos esse valor na célula LS (m) da planilha "Variáveis de Projeto".
			3. A linha de descarga tem comprimento total de 17 m.
			4. Coloquemos esse valor na célula LD (m) da planilha "Variáveis de Projeto".
			5. A linha de sucção apresenta 1 cotovelo padrão (Leq/D = 30 ) e 1 saída te tanque (Leq/D = 25).
			Como o diâmetro de sucção é 0,1023 m resulta SLeqS = 0,1023 * 55 = 5,6 m
			6. Coloquemos esse valor na célula SLeqS (m) da planilha "Variáveis de Projeto".
			7. A linha de descarga apresenta 1 saída de tulação (Leq/D = 45 ).
			Como o diâmetro de sucção é 0,0779 m resulta SLeqD = 0,0779 * 45 = 3,5 m
			8. Coloquemos esse valor na célula SLeqD (m) da planilha "Variáveis de Projeto".
			9. Os tanques estão abertos para a atmosfera. Podemos admitir que os valores das pressões
			de ambos sejam iguais a 1 bar.
			10. Coloquemos esse valor nas células P1 e P4.
			11. O nível do tanque de alimentação está 5,5 m abaixo do nível da bomba, enquanto que
			o de descarga está 22 m acima.
			12. Na planilha "Variáveis de Projeto" coloquemos os respectivos valores das cotas: z1 = - 5,5 m
			e z4 = 22 m.
			Após essas etapas todos os cálculos já foram efetuados e os resultados estão apresentados
			na planilha A.M.T. (Altura Manométrica Total). Neste exemplo H = 28,43 m e NPSHd = 4,29 m.
			Teoricamente, até 3500 rpm nenhuma bomba cavitaria, embora o fator de Thoma tenda a subestimar
			os valores de NPSHr. O ideal seria a consulta ao fabricante da bomba.
			O usuário pode fazer as análises que interessem, variando valores das células amarelas. Por exemplo,
			neste caso, se alterarmos a temperatura para 70oC o programa indica que haverá cavitação para
			rotações acima de 2000 rpm.
-5,5 m
2 m
2 m
0 m
8 m
22 m
17 m
Seleção de Diâmetro
	
	
	
	
	
	
	
		SUCÇÃO
		vRS(m/s)		DRS(m)	DS(m)	DN(pol)	SN	SS (m2)	e/Ds
		1	O.K.!	0.0995	0.1023	4	STD 40/40S	0.008	0.000440
		DESCARGA
		vRD(m/s)		DRD(m)	DD(m)	DN(pol)	SN	SD (m2)	e/DD
		1.8	O.K.!	0.0742	0.0779	3	STD/40/40S	0.005	0.000578
	
	
			* FORA DA FAIXA				0
	
	
	
	
	
	
	
	
	
	
	
	
	
	NPS	S.N.	O.D.	W.T.	I.D.	W.
	(pol.)	ANSI/ASME	mm	mm	mm	kg/m
	36	10	914.4	7.92	898.56	176.98
	36	STD/40S	914.4	9.53	895.34	212.34
	36	XS/80S	914.4	12.70	889.00	282.13
	30	10	762.0	7.92	746.16	147.23
	30	STD/40S	762.0	9.53	742.94	176.58
	30	XS/20/80S	762.0	12.70	736.60	234.44
	30	30	762.0	15.88	730.24	291.82
	24	10/10S	609.6	6.35	596.90	94.37
	24	STD/20/40S	609.6	9.53	590.54	140.82
	24	XS/80S	609.6	12.70	584.20	186.76
	24	30	609.6	14.27	581.06	209.37
	24	40	609.6	17.48	574.64	254.92
	24	60	609.6	24.61	560.38	354.72
	24	80	609.6	30.96	547.68	441.39
	24	100	609.6	38.89	531.82	546.77
	24	120	609.6	46.02	517.56	639.04
	24	140	609.6	52.37	504.86	718.97
	20	10S	508.0	5.54	496.92	68.55
	20	10	508.0	6.35	495.30	78.48
	24	160	609.6	59.54	490.52	806.83
	20	STD/20/40S	508.0	9.53	488.94	116.98
	20	XS/30/80S	508.0	12.70	482.60	154.97
	20	40	508.0	15.09	477.82	183.22
	20	60	508.0	20.62	466.76	247.65
	20	80	508.0	26.19	455.62	310.85
	18	10S	457.2	4.78	447.64	53.22
	18	10	457.2	6.35	444.50	70.53
	20	100	508.0	32.54	442.92	381.14
	18	20	457.2	7.92	441.36	87.72
	18	STD/40S	457.2	9.53	438.14	105.06
	18	30	457.2	11.13	434.94	122.26
	18	XS/80S	457.2	12.70	431.80	139.08
	20	120	508.0	38.10	431.80	441.07
	18	40	457.2	14.27	428.66	155.78
	18	60	457.2	19.05	419.10	205.63
	20	140	508.0	44.45	419.10	507.63
	18	80	457.2	23.83	409.54	254.37
	20	160	508.0	50.01	407.98	564.30
	18	100	457.2	29.36	398.48	309.50
	16	10S	406.4	4.78	396.84	47.25
	16	10	406.4	6.35	393.70	62.58
	16	20	406.4	7.92	390.56	77.79
	16	STD/30/40S	406.4	9.53	387.34	93.13
	18	120	457.2	34.93	387.34	363.34
	16	XS/40/80S	406.4	12.70	381.00	123.18
	18	140	457.2	39.67	377.86	408.11
	16	60	406.4	16.66	373.08	159.99
	18	160	457.2	45.24	366.72	459.13
	16	80	406.4	21.44	363.52	203.31
	16	100	406.4	26.20	354.00	245.29
	14	10S	355.6	4.78	346.04	41.27
	16	120	406.4	30.96	344.48	286.38
	14	10	355.6	6.35	342.90	54.63
	14	20	355.6	7.92	339.76	67.88
	14	STD/30/40S	355.6	9.53	336.54	81.21
	14	40	355.6	11.13	333.34	94.41
	16	140	406.4	36.53	333.34	332.83
	14	XS/80S	355.6	12.70	330.20	107.29
	14	60	355.6	15.09	325.42	126.58
	16	160	406.4	40.49	325.42	364.99
	14	80	355.6	19.05	317.50	157.95
	12	5S	323.9	3.96	315.98	31.22
	12	10S	323.9	4.57	314.76	36.02
	12	20	323.9	6.35	311.20	49.68
	14	100	355.6	23.83	307.94	194.74
	12	30	323.9	8.38	307.14	65.14
	12	STD/40S	323.9	9.53	304.84	73.76
	12	40	323.9	10.31	303.28	79.65
	14	120	355.6	27.79	300.02	224.58
	12	XS/80S	323.9	12.70	298.50	97.36
	12	60	323.9	14.27	295.36	108.87
	14	140	355.6	31.75	292.10	253.32
	12	80	323.9	17.48	288.94	131.90
	14	160	355.6	35.71	284.18	281.43
	12	100	323.9	21.44	281.02	159.72
	12	120/XX	323.9	25.40	273.10	186.76
	12	140	323.9	28.58	266.74	207.86
	10	5S	273.1	3.40	266.30	22.61
	10	10S	273.1	4.19	264.72	27.83
	10	20	273.1	6.35	260.40	41.73
	10	30	273.1	7.80	257.50	50.96
	12	160	323.9	33.32	257.26	238.52
	10	STD/40/40S	273.1	9.27	254.56	60.24
	10	XS/60/80S	273.1	12.70	247.70	81.47
	10	80	273.1	15.09	242.92	95.89
	10	100	273.1	18.26	236.58	114.64
	10	120	273.1	21.44	230.22	132.89
	10	140/XX	273.1	25.40	222.30	154.97
	10	160	273.1	28.58	215.94
172.10
	8	5S	219.1	2.77	213.56	14.75
	8	10/10S	219.1	3.76	211.58	20.29
	8	20	219.1	6.35	206.40	33.28
	8	30	219.1	7.04	205.02	36.76
	8	STD/40/40S	219.1	8.18	202.74	42.49
	8	60	219.1	10.31	198.48	53.04
	8	XS/80/80S	219.1	12.70	193.70	64.58
	8	100	219.1	15.09	188.92	75.83
	8	120	219.1	18.26	182.58	90.35
	8	140	219.1	20.62	177.86	100.84
	8	XX	219.1	22.23	174.64	107.78
	8	160	219.1	23.01	173.08	111.16
	6	5/5S	168.3	2.77	162.76	11.29
	6	10/10S	168.3	3.40	161.50	13.82
	6	STD 40/40S	168.3	7.11	154.08	28.23
	6	XS 80/80S	168.3	10.97	146.36	42.52
	6	120	168.3	14.27	139.76	54.16
	5	5/5S	141.3	2.77	135.76	9.45
	5	10/10S	141.3	3.40	134.50	11.56
	6	160	168.3	18.26	131.78	67.49
	5	STD 40/40S	141.3	6.55	128.20	21.76
	6	XX	168.3	21.95	124.40	79.12
	5	XS 80/80S	141.3	9.53	122.24	30.93
	5	120	141.3	12.70	115.90	40.24
	4	5/5S	114.3	2.11	110.08	5.83
	5	160	141.3	15.88	109.54	49.05
	4	10/10S	114.3	3.05	108.20	8.35
	5	XX	141.3	19.05	103.20	57.37
	4	STD 40/40S	114.3	6.02	102.26	16.06
	3 1/2	5/5S	101.6	2.11	97.38	5.17
	4	XS 80/80S	114.3	8.56	97.18	22.29
	3 1/2	10/10S	101.6	3.05	95.50	7.40
	4	120	114.3	11.13	92.04	28.28
	3 1/2	STD 40/40S	101.6	5.74	90.12	13.56
	4	160	114.3	13.49	87.32	33.50
	3 1/2	XS 80/80S	101.6	8.08	85.44	18.60
	3	5/5S	88.9	2.11	84.68	4.51
	3	10/10S	88.9	3.05	82.80	6.45
	4	XX	114.3	17.12	80.06	40.99
	3	STD/40/40S	88.9	5.49	77.92	11.27
	3	XS/80/80S	88.9	7.62	73.66	15.25
	3 1/2	XX	101.6	16.15	69.30	34.01
	2 1/2	5/5S	73.0	2.11	68.78	3.68
	2 1/2	10/10S	73.0	3.05	66.90	5.26
	3	160	88.9	11.13	66.64	21.31
	2 1/2	STD/40/40S	73.0	5.16	62.68	8.62
	2 1/2	XS/80/80S	73.0	7.01	58.98	11.40
	3	XX	88.9	15.24	58.42	27.65
	2	5/5S	60.3	1.65	57.00	2.39
	2	10/10S	60.3	2.77	54.76	3.93
	2 1/2	160	73.0	9.53	53.94	14.90
	2	STD/40/40S	60.3	3.91	52.48	5.44
	2	XS/80/80S	60.3	5.54	49.22	7.47
	1 1/2	5/5S	48.3	1.65	45.00	1.90
	2 1/2	XX	73.0	14.02	44.96	20.37
	2	160	60.3	8.74	42.82	11.11
	1 1/2	10/10S	48.3	2.77	42.76	3.10
	1 1/2	STD/40/40S	48.3	3.68	40.94	4.05
	1 1/4	5/5S	42.2	1.65	38.90	1.65
	2	XX	60.3	11.07	38.16	13.44
	1 1/2	XS/80/80S	48.3	5.08	38.14	5.40
	1 1/4	10/10S	42.2	2.77	36.66	2.69
	1 1/4	STD/40/40S	42.2	3.56	35.08	3.38
	1 1/2	160	48.3	7.14	34.02	7.23
	1 1/4	XS/80/80S	42.2	4.85	32.50	4.46
	1	5/5S	33.4	1.65	30.10	1.29
	1 1/4	160	42.2	6.35	29.50	5.60
	1 1/2	XX	48.3	10.16	27.98	9.54
	1	10/10S	33.4	2.77	27.86	2.09
	1	STD/40/40S	33.4	3.38	26.64	2.50
	1	XS/80/80S	33.4	4.55	24.30	3.23
	3/4	5/5S	26.7	1.65	23.40	1.02
	1 1/4	XX	42.2	9.70	22.80	7.76
	3/4	10/10S	26.7	2.11	22.48	1.28
	3/4	STD/40/40S	26.7	2.87	20.96	1.68
	1	160	33.4	6.35	20.70	4.23
	3/4	XS/80/80S	26.7	3.91	18.88	2.19
	1/2	5/5S	21.3	1.65	18.00	0.80
	1/2	10/10S	21.3	2.11	17.08	1.00
	1/2	STD 40/40S	21.3	2.77	15.76	1.27
	3/4	160	26.7	5.56	15.58	2.89
	1	XX	33.4	9.09	15.22	5.45
	1/2	XS 80/80S	21.3	3.73	13.84	1.62
	3/8	10/10S	17.1	1.65	13.80	0.63
	3/8	STD 40/40S	17.1	2.31	12.48	0.84
	1/2	160	21.3	4.78	11.74	1.95
	3/4	XX	26.7	7.82	11.06	3.63
	3/8	XS 80/80S	17.1	3.20	10.70	1.10
	1/4	10/10S	13.7	1.65	10.40	0.49
	1/4	STD/40/40S	13.7	2.24	9.22	0.63
	1/8	10/10S	10.3	1.24	7.82	0.28
	1/4	XS/80/80S	13.7	3.02	7.66	0.80
	1/8	STD/40/40S	10.3	1.73	6.84	0.36
	1/2	XX	21.3	7.47	6.36	2.55
	1/8	XS/80/80S	10.3	2.41	5.48	0.47
Variáveis de Projeto
	
	
	
		Variáveis de Projeto								Propriedades
	
	
					Sucção		Descarga			T(K)	343.15
		Q(m3/h)	28		LS(m)	12	LD(m)	17		Tr (K)	647.3
		T(ºC)	70		SLeqS(m)	5.6	SLeqD(m)	3.5		XR	0.470
		Material	Aço Comercial		P1(bar)	1	P4(bar)	1		r(kg/m3)	977.8
		e (m)	0.000045		v1(m/s)	0	v4(m/s)	???		m(Pa.s)	0.0004
					z1(m)	-5.5	z4(m)	22		Pv(Pa)	3.12E+04
										g(m/s2)	9.81
										g(N/m3)	9591.9
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	rH2O=(999,83952+16,9451*TC-0,0079870401*TC2-0,000046170461*TC3+0,00000010556302*TC4-2,8054253E-10*TC5)/(1+0,01687985*TC)
	
	mH2O=-10,4349-507,881/(149,39-TK)
	
	PvH2O=221,2*exp((-7,76451*XR+1,45838*RAIZ(XR^3-2,7758*XR^3-1,23303*XR^6))/1E5
	XR=1-TK/647,3
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
								MATERIAL	Rugosidade
									Absoluta (m)
								Ferro Fundido	2.50E-04
								Ferro Galvanizado	1.50E-04
								Aço Comercial	4.50E-05
								Ferro Forjado	1.50E-06
								Latão	1.50E-06
								Chumbo	1.50E-06
								Vidro	1.50E-06
								PVC	2.00E-07
								HDPE	7.00E-06
Luiz Fernando de Moura:
Veja Dados + Validação
Se o líquido não for água
preencha as células!
A.M.T.
		Sucção									Descarga
	Q(m3/h)	vS(m/s)	ReS	Regime	fa	fS	lwS(m)	E1(m)	E2(m)	NPSHd (m)	vD(m/s)	ReD	Regime	fa	fD	lwD (m)	E4 (m)	E3(m)	H (m)
	
	0	0.00	0.0E+00	laminar	0	0.000	0.00	4.93	4.93	1.67	0.00	0.0E+00	laminar	0.0E+00	0.000	0.00	32.43	32.43	27.50
	7	0.24	5.9E+04	turbulento	0.022	0.022	0.01	4.93	4.92	1.67	0.41	7.7E+04	turbulento	0.021	0.021	0.05	32.43	32.48	27.56
	14	0.47	1.2E+05	turbulento	0.020	0.020	0.04	4.94	4.90	1.65	0.82	1.5E+05	turbulento	0.019	0.019	0.17	32.46	32.63	27.73
	28	0.95	2.3E+05	turbulento	0.018	0.018	0.14	4.97	4.83	1.58	1.63	3.1E+05	turbulento	0.018	0.018	0.64	32.56	33.20	28.37
	56	1.89	4.7E+05	turbulento	0.018	0.017	0.55	5.11	4.56	1.31	3.26	6.1E+05	turbulento	0.018	0.017	2.44	32.97	35.41	30.84
	84	2.84	7.0E+05	turbulento	0.017	0.017	1.20	5.34	4.13	0.88	4.89	9.2E+05	turbulento	0.017	0.017	5.40	33.65	39.05	34.91
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	
	28	0	0
	28	28.37	1.58
	
	NPSHr (m) [Equação de Thoma]
	RPM
	1000				1500				2000				2500				3000				3500
	nq (rpm)	nS (rpm)	j	NPSHr (m)	nq (rpm)	nS (rpm)	j	NPSHr (m)	nq (rpm)	nS (rpm)	j	NPSHr (m)	nq (rpm)	nS (rpm)	j	NPSHr (m)	nq (rpm)	nS (rpm)	j	NPSHr (m)	nq (rpm)	nS (rpm)	j	NPSHr (m)
	0	0	0.00110	0.0	0	0	0.00110	0.0	0	0	0.00110	0.0	0	0	0.00110	0.0	0	0	0.00110	0.0	0	0	0.00110	0.0
	4	13	0.00110	0.2	5	20	0.00110	0.3	7	27	0.00110	0.4	9	33	0.00110	0.6	11	40	0.00110	0.7	13	47	0.00110	0.9
	5	19	0.00110	0.3	8	28	0.00110	0.5	10	38	0.00110	0.7	13	47	0.00110	0.9	15	57	0.00110	1.2	18	66	0.00110	1.4
	7	26	0.00110	0.4	11	39	0.00110	0.7	14	52	0.00110	1.1	18	65	0.00110	1.5	22	79	0.00110	1.9	25	92	0.00110	2.3
	10	35	0.00110	0.7	14	52	0.00110	1.2	19	70	0.00110	1.7	24	87	0.00110	2.3	29	104	0.00110	3.0	33	122	0.00110	3.6
	11	39	0.00110	0.9	16	58	0.00110	1.5	21	78	0.00110	2.3	27	97	0.00110	3.0	32	116	0.00110	3.9	37	136	0.00110	4.8
A.M.T.
	
NPSHd
NPSH operacional
1000 rpm
1500 rpm
2000 rpm
2500 rpm
3000 rpm
3500 rpm
1000 rpm
2000 rpm
1500 rpm
2500 rpm
3000 rpm
3500 rpm
Q (m3/h)
NPSHd (m)
NPSHd x NPSHr
Norma
	
A.M.T.
Ponto de Operação
Q(m3/h)
H (m)
H x Q
	NPS	S.N.	O.D.	W.T.	I.D.	W.	NPS	S.N.	O.D.	W.T.	I.D.	W.
	(pol.)	ANSI/ASME	mm	mm	mm	kg/m	(pol.)	ANSI/ASME	mm	mm	mm	kg/m
	0 1/8	10/10S	10.3	1.24	7.82	0.28	3 1/9	5/5S	88.9	2.11	84.68	4.51
	0 1/8	STD/40/40S	10.3	1.73	6.84	0.36	3 1/9	10/10S	88.9	3.05	82.80	6.45
	0 1/8	XS/80/80S	10.3	2.41	5.48	0.47	3 1/9	STD/40/40S	88.9	5.49	77.92	11.27
	0 1/4	10/10S	13.7	1.65	10.40	0.49	3 1/9	XS/80/80S	88.9	7.62	73.66	15.25
	0 1/4	STD/40/40S	13.7	2.24	9.22	0.63	3 1/9	160	88.9	11.13	66.64	21.31
	0 1/4	XS/80/80S	13.7	3.02	7.66	0.80	3 1/9	XX	88.9	15.24	58.42	27.65
	0 3/8	10/10S	17.1	1.65	13.80	0.63	3 1/2	5/5S	101.6	2.11	97.38	5.17
	0 3/8	STD 40/40S	17.1	2.31	12.48	0.84	3 1/2	10/10S	101.6	3.05	95.50	7.40
	0 3/8	XS 80/80S	17.1	3.20	10.70	1.10	3 1/2	STD 40/40S	101.6	5.74	90.12	13.56
	0 1/2	5/5S	21.3	1.65	18.00	0.80	3 1/2	XS 80/80S	101.6	8.08	85.44	18.60
	0 1/2	10/10S	21.3	2.11	17.08	1.00	3 1/2	XX	101.6	16.15	69.30	34.01
	0 1/2	STD 40/40S	21.3	2.77	15.76	1.27	4 1/9	5/5S	114.3	2.11	110.08	5.83
	0 1/2	XS 80/80S	21.3	3.73	13.84	1.62	4 1/9	10/10S	114.3	3.05	108.20	8.35
	0 1/2	160	21.3	4.78	11.74	1.95	4 1/9	STD 40/40S	114.3	6.02	102.26	16.06
	0 1/2	XX	21.3	7.47	6.36	2.55	4 1/9	XS 80/80S	114.3	8.56	97.18	22.29
	0 3/4	5/5S	26.7	1.65	23.40	1.02	4 1/9	120	114.3	11.13	92.04	28.28
	0 3/4	10/10S	26.7	2.11	22.48	1.28	4
1/9	160	114.3	13.49	87.32	33.50
	0 3/4	STD/40/40S	26.7	2.87	20.96	1.68	4 1/9	XX	114.3	17.12	80.06	40.99
	0 3/4	XS/80/80S	26.7	3.91	18.88	2.19	5 1/9	5/5S	141.3	2.77	135.76	9.45
	0 3/4	160	26.7	5.56	15.58	2.89	5 1/9	10/10S	141.3	3.40	134.50	11.56
	0 3/4	XX	26.7	7.82	11.06	3.63	5 1/9	STD 40/40S	141.3	6.55	128.20	21.76
	1	5/5S	33.4	1.65	30.10	1.29	5 1/9	XS 80/80S	141.3	9.53	122.24	30.93
	1	10/10S	33.4	2.77	27.86	2.09	5 1/9	120	141.3	12.70	115.90	40.24
	1	STD/40/40S	33.4	3.38	26.64	2.50	5 1/9	160	141.3	15.88	109.54	49.05
	1	XS/80/80S	33.4	4.55	24.30	3.23	5 1/9	XX	141.3	19.05	103.20	57.37
	1	160	33.4	6.35	20.70	4.23	6 1/9	5/5S	168.3	2.77	162.76	11.29
	1	XX	33.4	9.09	15.22	5.45	6 1/9	10/10S	168.3	3.40	161.50	13.82
	1 1/4	5/5S	42.2	1.65	38.90	1.65	6 1/9	STD 40/40S	168.3	7.11	154.08	28.23
	1 1/4	10/10S	42.2	2.77	36.66	2.69	6 1/9	XS 80/80S	168.3	10.97	146.36	42.52
	1 1/4	STD/40/40S	42.2	3.56	35.08	3.38	6 1/9	120	168.3	14.27	139.76	54.16
	1 1/4	XS/80/80S	42.2	4.85	32.50	4.46	6 1/9	160	168.3	18.26	131.78	67.49
	1 1/4	160	42.2	6.35	29.50	5.60	6 1/9	XX	168.3	21.95	124.40	79.12
	1 1/4	XX	42.2	9.70	22.80	7.76	8 1/9	5S	219.1	2.77	213.56	14.75
	1 1/2	5/5S	48.3	1.65	45.00	1.90	8 1/9	10/10S	219.1	3.76	211.58	20.29
	1 1/2	10/10S	48.3	2.77	42.76	3.10	8 1/9	20	219.1	6.35	206.40	33.28
	1 1/2	STD/40/40S	48.3	3.68	40.94	4.05	8 1/9	30	219.1	7.04	205.02	36.76
	1 1/2	XS/80/80S	48.3	5.08	38.14	5.40	8 1/9	STD/40/40S	219.1	8.18	202.74	42.49
	1 1/2	160	48.3	7.14	34.02	7.23	8 1/9	60	219.1	10.31	198.48	53.04
	1 1/2	XX	48.3	10.16	27.98	9.54	8 1/9	XS/80/80S	219.1	12.70	193.70	64.58
	2 1/9	5/5S	60.3	1.65	57.00	2.39	8 1/9	100	219.1	15.09	188.92	75.83
	2 1/9	10/10S	60.3	2.77	54.76	3.93	8 1/9	120	219.1	18.26	182.58	90.35
	2 1/9	STD/40/40S	60.3	3.91	52.48	5.44	8 1/9	140	219.1	20.62	177.86	100.84
	2 1/9	XS/80/80S	60.3	5.54	49.22	7.47	8 1/9	XX	219.1	22.23	174.64	107.78
	2 1/9	160	60.3	8.74	42.82	11.11	8 1/9	160	219.1	23.01	173.08	111.16
	2 1/9	XX	60.3	11.07	38.16	13.44
	2 1/2	5/5S	73.0	2.11	68.78	3.68
	2 1/2	10/10S	73.0	3.05	66.90	5.26
	2 1/2	STD/40/40S	73.0	5.16	62.68	8.62
	2 1/2	XS/80/80S	73.0	7.01	58.98	11.40
	2 1/2	160	73.0	9.53	53.94	14.90
	2 1/2	XX	73.0	14.02	44.96	20.37
	
	NPS	S.N.	O.D.	W.T.	I.D.	W.	NPS	S.N.	O.D.	W.T.	I.D.	W.
	(pol.)	ANSI/ASME	mm	mm	mm	kg/m	(pol.)	ANSI/ASME	mm	mm	mm	kg/m
	10 1/9	5S	273.1	3.40	266.30	22.61	18 1/9	10S	457.2	4.78	447.64	53.22
	10 1/9	10S	273.1	4.19	264.72	27.83	18 1/9	10	457.2	6.35	444.50	70.53
	10 1/9	20	273.1	6.35	260.40	41.73	18 1/9	20	457.2	7.92	441.36	87.72
	10 1/9	30	273.1	7.80	257.50	50.96	18 1/9	STD/40S	457.2	9.53	438.14	105.06
	10 1/9	STD/40/40S	273.1	9.27	254.56	60.24	18 1/9	30	457.2	11.13	434.94	122.26
	10 1/9	XS/60/80S	273.1	12.70	247.70	81.47	18 1/9	XS/80S	457.2	12.70	431.80	139.08
	10 1/9	80	273.1	15.09	242.92	95.89	18 1/9	40	457.2	14.27	428.66	155.78
	10 1/9	100	273.1	18.26	236.58	114.64	18 1/9	60	457.2	19.05	419.10	205.63
	10 1/9	120	273.1	21.44	230.22	132.89	18 1/9	80	457.2	23.83	409.54	254.37
	10 1/9	140/XX	273.1	25.40	222.30	154.97	18 1/9	100	457.2	29.36	398.48	309.50
	10 1/9	160	273.1	28.58	215.94	172.10	18 1/9	120	457.2	34.93	387.34	363.34
	12 1/9	5S	323.9	3.96	315.98	31.22	18 1/9	140	457.2	39.67	377.86	408.11
	12 1/9	10S	323.9	4.57	314.76	36.02	18 1/9	160	457.2	45.24	366.72	459.13
	12 1/9	20	323.9	6.35	311.20	49.68	20 1/9	10S	508.0	5.54	496.92	68.55
	12 1/9	30	323.9	8.38	307.14	65.14	20 1/9	10	508.0	6.35	495.30	78.48
	12 1/9	STD/40S	323.9	9.53	304.84	73.76	20 1/9	STD/20/40S	508.0	9.53	488.94	116.98
	12 1/9	40	323.9	10.31	303.28	79.65	20 1/9	XS/30/80S	508.0	12.70	482.60	154.97
	12 1/9	XS/80S	323.9	12.70	298.50	97.36	20 1/9	40	508.0	15.09	477.82	183.22
	12 1/9	60	323.9	14.27	295.36	108.87	20 1/9	60	508.0	20.62	466.76	247.65
	12 1/9	80	323.9	17.48	288.94	131.90	20 1/9	80	508.0	26.19	455.62	310.85
	12 1/9	100	323.9	21.44	281.02	159.72	20 1/9	100	508.0	32.54	442.92	381.14
	12 1/9	120/XX	323.9	25.40	273.10	186.76	20 1/9	120	508.0	38.10	431.80	441.07
	12 1/9	140	323.9	28.58	266.74	207.86	20 1/9	140	508.0	44.45	419.10	507.63
	12 1/9	160	323.9	33.32	257.26	238.52	20 1/9	160	508.0	50.01	407.98	564.30
	14 1/9	10S	355.6	4.78	346.04	41.27	24 1/9	10/10S	609.6	6.35	596.90	94.37
	14 1/9	10	355.6	6.35	342.90	54.63	24 1/9	STD/20/40S	609.6	9.53	590.54	140.82
	14 1/9	20	355.6	7.92	339.76	67.88	24 1/9	XS/80S	609.6	12.70	584.20	186.76
	14 1/9	STD/30/40S	355.6	9.53	336.54	81.21	24 1/9	30	609.6	14.27	581.06	209.37
	14 1/9	40	355.6	11.13	333.34	94.41	24 1/9	40	609.6	17.48	574.64	254.92
	14 1/9	XS/80S	355.6	12.70	330.20	107.29	24 1/9	60	609.6	24.61	560.38	354.72
	14 1/9	60	355.6	15.09	325.42	126.58	24 1/9	80	609.6	30.96	547.68	441.39
	14 1/9	80	355.6	19.05	317.50	157.95	24 1/9	100	609.6	38.89	531.82	546.77
	14 1/9	100	355.6	23.83	307.94	194.74	24 1/9	120	609.6	46.02	517.56	639.04
	14 1/9	120	355.6	27.79	300.02	224.58	24 1/9	140	609.6	52.37	504.86	718.97
	14 1/9	140	355.6	31.75	292.10	253.32	24 1/9	160	609.6	59.54	490.52	806.83
	14 1/9	160	355.6	35.71	284.18	281.43	30 1/9	10	762.0	7.92	746.16	147.23
	16 1/9	10S	406.4	4.78	396.84	47.25	30 1/9	STD/40S	762.0	9.53	742.94	176.58
	16 1/9	10	406.4	6.35	393.70	62.58	30 1/9	XS/20/80S	762.0	12.70	736.60	234.44
	16 1/9	20	406.4	7.92	390.56	77.79	30 1/9	30	762.0	15.88	730.24	291.82
	16 1/9	STD/30/40S	406.4	9.53	387.34	93.13	36 1/9	10	914.4	7.92	898.56	176.98
	16 1/9	XS/40/80S	406.4	12.70	381.00	123.18	36 1/9	STD/40S	914.4	9.53	895.34	212.34
	16 1/9	60	406.4	16.66	373.08	159.99	36 1/9	XS/80S	914.4	12.70	889.00	282.13
	16 1/9	80	406.4	21.44	363.52	203.31
	16 1/9	100	406.4	26.20	354.00	245.29
	16 1/9	120	406.4	30.96	344.48	286.38
	16 1/9	140	406.4	36.53	333.34	332.83
	16 1/9	160	406.4	40.49	325.42	364.99
MBD0001C7EE.unknown
MBD0002FFAD.unknown
MBD00021D97.unknown
MBD00017E86.unknown
MBD0001A12F.unknown
MBD00016A54.unknown