尾部吊耳的强度计算



			尾部吊耳的强度计算					项目号 ITEM NO.
			Strength Calculation of Tailing Lug					文件号 DOC. NO.
												说明:
												1.  本计算程序适用于通过垫板与容器壳体相连接的尾部吊耳以及吊耳与垫板、垫板与壳体连接焊缝的强度校核。
												2.  黄色单元格内的数据是需要输入的。
												3.  尾部吊耳与垫板的连接焊缝应如图1所示。
												4.  设计者应根据尾部吊耳作用在垫板和壳体上的力和力矩（即表1中的Fr、Fl、M1和M2）,采用SW6或PV Elite中的局部应力计算程序（即WRC 107的方法）对垫板和壳体中的局部应力进行校核。表1中Fr为径向力，Fl为轴向力，M1为吊耳作用在垫板上的弯矩，M2为垫板作用在壳体上的弯矩。
												应注意: 设备起吊时吊耳在垫板和壳体中引起的局部应力属于一次应力, 因此校核时局部薄膜应力和最大表面应力均不应超过1.5倍的材料许用应力。
												NOTES:
												1. This calculation template is applicable to the strength check of the tailing lug that is attached to a vessel shell via a pad, and the strength check of welds attaching tailing lug to pad and pad to shell.
1.  输入数据 Input Data											2. The data in yellow cells shall be inputted.
设备的起吊质量 Lifting weight of equipment								W=	26015	kg	3. The weld attaching tailing lug to pad shall be as shown in Fig. 1.
综合影响系数 Dynamic factor								k=	1.65			4. Designer shall check the local stresses in shell and pad using a local stress calculation program of SW6 or PV Elite (that is the method of WRC107) and the data of force and moment (Fr,Fl,M1 and M2) shown in the Table 1, where Fr is the radial force, Fl the longitudinal force, M1 the bending moment acting on the pad, and M2 the bending moment acting on the shell.
吊耳至设备质心的轴向距离 Axial distance from lifting lug to C.G of equipment								L1=	4738	mm
尾部吊耳孔中心至设备质心的轴向距								L2=	4392	mm
Axial distance from pin hole center of tailing lug to C.G of equipment
尾部吊耳孔中心至设备轴线的距离								L3=	1726	mm
Distance from pin hole center of tailing lug to the axis of equipment
吊耳底部的宽度 Width of lug base								B=	250	mm		It should be noticed that the local stresses in pad and shell caused by lifting lug during lifting the equipment are primary stresses, therefore the calculated local membrane stress and the maximum surface stress shall not exceed 1.5 times the allowable stress of related material.
吊耳端部R的尺寸 Length of R								R=	100	mm
吊耳的有效厚度 Effective thickness of tailing lug								S=	25.2	mm
尾部吊耳孔中心至垫板表面的距离                                                                   Distance from pin hole center of tailing lug to the outside surface of pad								L=	100	mm
吊耳起吊孔直径 Pin hole diameter of lug								D=	75	mm
吊耳材料 material of tailing lug								Q235-B
垫板的长度 Length of pad								Lp=	320	mm
垫板的宽度 Width of pad								Wp=	100	mm
垫板的名义厚度 Nominal thickness of pad								Sp=	16	mm
垫板的材料 Material of pad								Q345R
容器壳体的材料 Material of vessel shell								Q345R
吊耳材料的屈服强度 Yield strength of lug material								Sy=	235	Mpa
垫板材料的屈服强度 Yield strength of pad material								Syp=	345	Mpa
壳体材料的屈服强度 Yield strength of shell material								Sys=	345	Mpa
垫板与筒体间连接焊缝的焊脚高度 Leg size of welds attaching pad to shell								a=	10	mm
角焊缝系数 Fillet weld coefficient								Φ=	0.7
2. 计算 Calculation
(1) 载荷与许用应力 Load and allowable stresses													图 1  Fig. 1
尾部吊耳的垂直起吊载荷                                Vertical lifting load of tailing lug				F=k*9.81W*L1cosθ/((L1+L2)cosθ+L3sinθ)					见表1                              See Table 1
起吊载荷F的径向分量                                  Radial component of lifting load F				Fr=Fcosθ					见表1                              See Table 1
起吊载荷F的径向分量 Longitudinal component of lifting load F				Fl=Fsinθ					见表1                              See Table 1
作用在吊耳底部的弯矩  Bending moment acting on lug base				M1=Fl*L					见表1                              See Table 1
作用在垫板与壳体连接焊缝的弯矩 Bending moment acting on welds of pad to shell				M2=Fl*(L+Sp)					见表1                              See Table 1
吊耳的许用拉伸应力                                     Allowable tensile stress of lug				［σ］=Sy/1.5					156.67	Mpa
吊耳的许用剪切应力                                   Allowable shear stress of lug				［τ］=0.6［σ］					94.00	Mpa
吊耳的许用挤压应力                                    Allowable bearing stress of lug				［σp］=0.9Sy					211.50	Mpa
吊耳与垫板连接焊缝的许用应力                                    Allowable stress of welds attaching lug to pad				［σw］=Φ*MIN(Sy/1.5,Syp/1.5)					109.67	Mpa
垫板与壳体连接焊缝的许用剪切应力                                    Allowable shear stress of welds attaching pad to shell				［τw］=Φ*MIN(0.6*Syp/1.5,0.6*Sys/1.5)					96.60	Mpa
(2) 尾部吊耳的应力 Stresses in tailing lug
吊耳底部的抗弯断面模数                                            Section modulus of lug base				Z=S*B2/6					262500	mm3
吊耳底部的拉伸应力                                          Tensile stress at lug base				σt=Fr/(B*S)					见表1                              See Table 1
吊耳底部的弯曲应力                                      Bending stress at lug base				σb=M1/Z					见表1                              See Table 1
吊耳底部的剪切应力                                          Shear stress at lug base				τ1=Fl/(B*S)					见表1                              See Table 1
吊耳底部的组合应力                                          Conbined stress at lug base									见表1                              See Table 1
吊耳孔截面的拉伸应力 Tensile stress at pin hole cross section				σ2=F/((2R-D)*S)					见表1                              See Table 1
吊耳孔截面的剪切应力                                            Shear stress at pin hole cross section				τ2=σ2					见表1                              See Table 1
吊耳孔处的挤压应力                                    Bearing stress at pin hole				σp=F/(D*S)					见表1                              See Table 1
(3) 吊耳与垫板连接焊缝的应力 Stress in welds attaching lug to pad
				σw=σ					见表1                              See Table 1
(3) 垫板与壳体连接焊缝的应力 Stresses in welds attaching pad to shell
焊缝截面积 Sectional area of welds				Aw=2*(Lp+Wp)*0.707*a					5938.8	mm2
单位宽度焊缝的抗弯断面模数 Section modulus of weld lines				Sw=Wp*Lp+Lp2/3					66133.3	mm2
Fr引起的剪应力 Shear stress due to Fr				τw1=Fr/Aw					见表1                              See Table 1
Fl引起的剪应力 Shear stress due to Fl				τw2=Fl/Aw					见表1                              See Table 1
M2引起的剪应力 Shear stress due M2				τw3=M2/Sw/(0.707*a)					见表1                              See Table 1
焊缝的组合剪应力                                  Combined shear stress in welds									见表1                              See Table 1
表1  计算结果
Table 1  Calculation Results
θ	0	10	20	30	40	50	60	70	80	85
F(N)	218525	211476	204457	197021	188606	178344	164621	143823	105459	69135.6
Fr(N)	218525	208263	192127	170625	144481	114638	82310.7	49190.3	18312.7	6025.56
Fl(N)	0	36722.4	69928.3	98510.4	121234	136620	142566	135149	103856	68872.5
M1(N.mm)	0	3672236	6992834	9851043	1.2E+07	1.4E+07	1.4E+07	1.4E+07	1E+07	6887249
M2(N.mm)	0	4259793	8111688	1.1E+07	1.4E+07	1.6E+07	1.7E+07	1.6E+07	1.2E+07	7989209
σt(Mpa)	34.69	33.06	30.50	27.08	22.93	18.20	13.07	7.81	2.91	0.96
σb(Mpa)	0.00	13.99	26.64	37.53	46.18	52.05	54.31	51.49	39.56	26.24
τ1(Mpa)	0.00	5.83	11.10	15.64	19.24	21.69	22.63	21.45	16.49	10.93
σ1(Mpa)	34.69	48.47	61.30	71.78	79.11	82.55	81.17	73.19	53.77	34.89
σ2(Mpa)	69.37	67.14	64.91	62.55	59.88	56.62	52.26	45.66	33.48	21.95
［σ］(Mpa)					156.667
	σ1<［σ］,  合格,  Acceptable.
	σ2<［σ］,  合格，  Acceptable.
τ2(Mpa)	69.37	67.14	64.91	62.55	59.88	56.62	52.26	45.66	33.48	21.95
［τ］(Mpa)					94.00
	τ2<［τ］,  合格，  Acceptable.
σp(Mpa)	115.62	111.89	108.18	104.24	99.79	94.36	87.10	76.10	55.80	36.58
［σp］(Mpa)					211.50
	σp<［σp］,  合格，  Acceptable.
σw(Mpa)	34.69	48.47	61.30	71.78	79.11	82.55	81.17	73.19	53.77	34.89
［σw］(Mpa)					109.67
	σw<［σw］,  合格，  Acceptable.
τw1(Mpa)	36.80	35.07	32.35	28.73	24.33	19.30	13.86	8.28	3.08	1.01
τw2(Mpa)	0.00	6.18	11.77	16.59	20.41	23.00	24.01	22.76	17.49	11.60
τw3(Mpa)	0.00	9.11	17.35	24.44	30.08	33.89	35.37	33.53	25.77	17.09
τw(Mpa)	36.80	44.61	51.08	55.70	58.11	57.96	54.77	47.60	33.74	21.50
［τw］(Mpa)					96.60
	τw<［τw］,  合格，  Acceptable.
表中 Where
θ—	设备轴线与水平面的夹角 Included angle between equipment axis and horizontal plane
σ1—	吊耳底部的组合应力  Combined stress at base of tailing lug
σ2—	吊耳起吊孔截面的拉伸应力 Tensile stress at pin hole cross section
［σ］—	尾部吊耳的许用拉伸应力 Allowable tensile stress of tailing lug
τ2—	吊耳起吊孔截面的剪应力 Shear stress at pin hole cross section
［τ］—	尾部吊耳的许用剪切应力 Allowable shear stress of tailing lug
σp—	吊耳起吊孔孔处的挤压应力 Bearing stress at pin hole
［σp］—	尾部吊耳的许用挤压应力 Allowable bearing stress of tailing lug
σw—	吊耳与垫板连接焊缝的应力 Stress in welds attaching lug to pad
［σw］—	吊耳与垫板连接焊缝的许用应力 Allowable stress of welds attaching lug to pad
τw—	垫板与壳体连接焊缝的剪应力 Shear stress of welds attaching pad to shell
［τw］—	垫板与壳体连接焊缝的许用剪切应力 Allowable shear stress of welds attaching pad to shell