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尾部吊耳和裙座底板的强度校核

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Selected 底板, 裙座, 尾部吊耳.
  • 底板
  • 裙座
  • 尾部吊耳
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  • 裙座
  • 尾部吊耳
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尾部吊耳和裙座底板的强度校核
项目号 ITEM NO.
Strength Check of Tailing Lug and Base Plate
文件号 DOC. NO.
1
11 1 1 说明:
1. 本计算程序适用于与裙座筒体、底板和盖板圈相连接的尾部吊耳以及底板、盖板圈和相互间连接焊缝的强度校核。
2. 黄色色单元格内的数据是需要输入的。
3. 尾部吊耳与裙座筒体间的连接焊缝为全焊透焊缝加角焊缝,与底板及盖板圈之间采用角焊缝连接,所有角焊缝的焊脚高度为"a".
NOTES:
1. This calculation template is applicable to the strength check of tailing lug that is attached to skirt shell, base plate and top ring, and the strength check of the base plate, top ring and the welds attaching the tailing lug to the skirt shell, base plate and top ring. 
2. The data in light blue cells shall be inputted.
3. The tailing lug is attached to the skirt shell by a penetration weld plus fillet welds, and attached to the base plate and top ring by fillet welds. The leg dimension of all the fillet welds is "a".  
说明: 尾部吊耳与裙座筒体间的连接焊缝为全焊透焊缝加角焊缝,与底板及盖板圈之间采用角焊缝连接,所有
角焊缝的焊脚高度为"a".
Note: The tailing lug is attached to skirt shell by a penetration weld plus fillet welds, and  载荷变化如下图:
attached to base plate and top ring by fillet welds. The leg dimension of all the fillet 1
welds is "a".
1.  输入数据 Input Data
设备质量 Weight of equipment W= 62000 kg
综合影响系数 Dynamic factor k= 1.65
吊耳至设备质心的轴向距离             L1= 11000 mm
Axial distance from lifting lug to C.G of equipment
尾部吊耳孔中心至设备质心的轴向距离    L2= 12000 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= 1400 mm
 Distance from pin hole center of tailing lug to the axis of equipment
裙座底板的内径 Inside diameter of skirt base plate Di= 2280 mm
裙座底板的外径 Outside diameter of skirt base plate  Do= 2900 mm
底板的有效厚度 Effective thickness of base plate Tb= 29.7 mm
盖板圈的外径 Outside diamter of top ring Dr= 2980 mm
盖板圈的有效厚度 Effective thickness of top ring Tr= 29.7 mm 角度 0 10 20 30 40 50 60 70 80 85
裙座筒体的外径 Outside diameter of skirt shell Dsk= 2700 mm 系列1 σ 48.9  72.8  93.9  111.7  125.2  134.0  136.9  132.3  113.6  88.6 
裙座筒体的有效厚度 Effective thickness of skirt shell Tsk= 11.7 mm 系列2 τ 63.03  62.36  61.67  60.89  59.97  58.77  57.02  54.00  46.86  37.17 
吊耳的宽度 Width of tailing lug A= 250 mm 系列3 σp 74.58  73.79  72.97  72.05  70.96  69.54  67.47  63.90  55.44  43.98 
吊耳的有效厚度 Effective thickness of tailing lug Tt= 39.7 mm 系列4 τw 18.26  32.51  46.92  59.92  70.79  78.89  83.53  83.36  73.86  58.54 
尾部吊耳孔中心至裙座筒体外表面的距离  Lt= 225 mm 系列5 σ1 39.96  50.99  60.21  67.32  72.03  74.05  73.03  68.18  56.51  43.26 
Distance from pin hole center of tailing lug to skirt outside surface 系列6 σ2 -87.11 -101 -111.5 -118.2 -120.9 -119.3 -113 -101.1 -79.9787 -59.6332
吊耳孔直径 Pin hole diameter of lug D1= 110 mm 系列7 σ3 56.362 11.53 -32.68 -74.82 -113.4 -146.6 -172.3 -186.8 -177.598 -145.456
吊耳孔衬板的直径 Diameter of pin hole pad Dp= 220 mm
吊耳孔衬板的有效厚度 Effective thickness of pin hole pad Tp= 9.7 mm
吊耳材料 material of tailing lug Q345R
裙座底板和盖板的材料 Material of base plate and top ring  Q345R
吊耳孔衬板材料 material of pin hole pad Q345R
吊耳材料的屈服强度 Yield strength of lug material Syt= 305 Mpa
底板材料的屈服强度 Yield strength of base plate  Syb= 325 Mpa
盖板圈材料的屈服强度 Yield strength of top ring Syr= 325 Mpa
吊耳与裙座间连接焊缝的焊脚高度 a= 24 mm
 Leg size of welds attaching tailing lug to  skirt support
承载点数(见下图,输入1或2)Number of load point (input 1 or 2 ) 2
如果承载点数为2,请输入以下数据: Input following data if number of load is 2:
支撑管的外径 Outside diameter of stay pipe   Dso= 168 mm
支撑管的有效厚度 Effective thickness of stay pipe Ts= 9 mm
支撑管材料 Material of stay pipe 20
支撑管材料的屈服强度 Yield strength of stay pipe material Sys= 245 Mpa
1 1
             一点承载(无拉撑件)  两点承载(即设置了拉撑件)
2. 计算 Calculation
(1) 载荷与许用应力 Load and allowable stresses
垂直起吊总载荷 Total vertical lifting load WL=f*W*9.81 1013793 N
L=L1+L2 23000 mm
尾部吊耳的垂直起吊载荷                                Vertical lifting load of tailing lug T=WL*cosθ*L1/(cosθ*L+sinθ*L3) 见表1                               See table 1
起吊载荷T的径向分量                                  Radial component of lifting load T fr=Tcosθ 见表1                               See table 1
起吊载荷T的径向分量                                  Longitudinal component of lifting load T fl=Tsinθ 见表1                               See table 1
吊耳的许用拉伸应力                                     Allowable tensile stress of lug [σ]t=Syt/1.5 203.333 Mpa
吊耳的许用剪切应力                                   Allowable shear stress of lug [τ]=0.6[σ]t 122 Mpa
吊耳的许用挤压应力                                    Allowable bearing stress of lug [σp]=0.9Syt 274.5 Mpa
焊缝的许用剪切应力                                    Allowable shear stress of welds [τw]=0.7*[τ] 85.4 Mpa
底板材料的许用应力                                    Allowable stress of base plate  [σ]b=Syb/1.5 216.667 Mpa
盖板圈材料的许用应力                                    Allowable stress top ring [σ]r=Syr/1.5 216.667 Mpa
(2) 尾部吊耳的强度校核 Strength check of tailing lug 
吊耳的横截面积                                          Cross sectional area of tailing lug Al=A*Tt 9925 mm2
吊耳的拉伸应力                                          Tensile stress of tailing lug σt=fr/Al 见表1                               See table 1
尺寸E Dimension E E=MAX(Lt-(Do-Dsk)/2,Lt-(Dc-Dsk)/2) 125 mm
作用在吊耳上的弯矩                                       Bending moment on tailing lug M=fl*E 见表1                               See table 1
吊耳的抗弯断面模数                                            Section modulus of tailing lug Z=Tt*A2/6 413542 mm3
吊耳的弯曲应力                                      Bending stress of tailing lug σb=M/Z 见表1                               See table 1
σ=σt+σb 见表2                               See table 2
吊耳孔处的横截面积 Cross sectional area at pin hole of lug At=(A-D1)*Tt+2(Dp-D1)*Tp 7692 mm2
吊耳孔处的剪切应力                                            Shear stress at pin hole τ=T/At 见表2                               See table 2
吊耳孔处抗挤压的有效面积                           Avaiable area at pin hole for bearing Ap=D1*(Tt+2Tp) 6501 mm2
吊耳孔处的挤压应力                                    Bearing stress at pin hole σp=T/Ap 见表2                               See table 2
(2) 尾吊与裙座连接焊缝的强度校核 Strength check of  welds attaching tailing lug to skirt
Wb=(Do-Dsk)/2 100 mm
盖板圈的宽度 Width of cover ring  Wr=(Dr-Dsk)/2 140 mm
连接焊缝的面积                                                 Area of welds attaching lug to skirt Aw=2*(A+Wb+Wr)*0.707*a+A*Tt 26553.6 mm2
B=MIN(Wb,Wr) 100 mm
Nt=B2/(A+2B) 22.2222 mm
Mw=fl*(Lt-Nt) 见表1                               See table 1
单位宽度焊缝的极惯性矩                                     Polor moment of inertia Jw=(A+2B)3/12-B2(A+B)2/(A+2B) 4871528 mm3
fl引起的横向剪应力                         Transverse shear stress due to fl                                                  f1=fl/Aw 见表1                               See table 1
Mw引起的横向剪应力                                        Transverse shear stress due to Mw f2=Mw*(B-Nt)/(Jw*2*0.707*a) 见表1                               See table 1
fr引起的径向剪应力                                          Radial shear stress due to fr f3=fr/Aw 见表1                               See table 1
Mw引起的径向剪应力                                           Radial shear stress due to Mw f4=0.5*Mw*A/(Jw*2*0.707*a) 见表1                               See table 1
尾部吊耳与裙座连接焊缝的剪应力                Shear stress of welds attaching tailing lug to skirt 1 见表2                               See table 2
(3) 裙座底板和盖板圈的强度校核 Strength Check of Base Plate and top ring 
① 起吊载荷的径向分量所产生的应力 Stress caused by radial component of lifting load
系数 Coefficient Kr= 0.0795
系数 Coefficient Kt= -0.2387
底板宽度 Width of base plate Wb=(Do-Di)/2 310 mm
底板的横截面积                                          Cross sectional area of base plate A1=Wb*Tb 9207 mm2
面积A1的形心至底板外表面的距离                   Distance from centroid of area A1 to outside surface of base plate Y1=Wb/2 155 mm
底板的惯性矩                                               Moment of inertia of base plate I1=Tb*Wb3/12 7.4E+07 mm4
裙座筒体的平均半径                                     Mean radius of skirt shell  Rms=(Dsk-Tsk)/2 1344.15 mm
裙座筒体的有效长度                                    Effective length of skirt shell Le=W+Tr+0.5*SQR(Rms*Tsk) 342.403 mm
裙座筒体有效段的横截面积 Cross sectional area of effective skirt shell A2=Tsk*Le 4006.11 mm2
面积A2的形心至底板外表面的距离                 Distance from centroid of area A2 to outside surface of base plate y2=(Do-Dsk)/2+tsk/2 105.85 mm
裙座筒体有效段的惯性矩                                     Moment of inertia of skirt shell I2=Le*Tsk3/12 45699.7 mm4
盖板圈的横截面积                                        Cross sectional of top ring A3=Tr*Wr 4158 mm2
面积A3的形心至底板外表面的距离                 Distance from centroid of area A3 to outside surface of base plate Y3=Do/2-(Dr/2-Wr/2) 30 mm
盖板圈的惯性矩                                    Moment of inertia of top ring I3=Tr*Wr3/12 6791400 mm4
                                                     
ΣAY=A1*Y1+A2*Y2+A3*Y3 1975872 mm3
ΣAY2=A1*Y12+A2*Y22+A3*Y32 2.7E+08 mm4
ΣA=A1+A2+A3 17371.1 mm2
ΣI=I1+I2+I3 8.1E+07 mm4
面积ΣA的形心至底板外表面的距离                 Distance from centroid of ΣA to outside surface of base plate  C1=ΣAY/ΣA 113.745 mm
面积ΣA的形心至底板内表面的距离                   Distance from centroid of ΣA to inside surface of base plate C2=Wb-C1 196.255 mm
面积ΣA的形心至盖板圈外表面的距离                   Distance from centroid of ΣA to outside surface of top ring C3=C1+(Dr/2-Do/2) 153.745 mm
组合惯性矩 Moment of inertia of ΣA  I=ΣAY2+ΣI-C1*ΣAY 1.3E+08 mm4
R=Do/2-C1 1336.26 mm
内力矩 Internal moment Mb1=Kr*fr*R 见表1                               See table 1
周向内力 Internal circumferential force F1=Kt*fr 见表1                               See table 1
底板外表面的应力 Stress at outside surface of base plate σ11=Mb1*C1/I+F1/ΣA 见表1                               See table 1
底板内表面的应力                                       Stress at inside surface of base plate σ21=-Mb1*C2/I+F1/ΣA 见表1                               See table 1
盖板圈外表面的应力 Stress at outside surface of top ring σ31=Mb1*C3/I+F1/ΣA 见表1                               See table 1
②起吊载荷的轴向分量所引起的应力 Stress caused by longitudinal component of lifting load
fl 产生的弯矩                                                  Bending moment caused by fl Ml=fl*Lt 见表1                               See table 1
                             h=A+(Tb+Tr)/2 279.7 mm
由Ml所引起的径向力                                       Radial force caused by Ml f=Ml/h 见表1                               See table 1
a) 底板中的应力 Stress in base plate
底板的横截面积                                                    Cross sectional area of base plate A1= 9207 mm2
面积A1的形心至底板外表面的距离                   Distance from centroid of area A1 to outside surface of base plate Y1= 155 mm
底板的惯性矩                                               Moment of inertia of base plate I1= 7.4E+07 mm4
裙座筒体的有效长度                                    Effective length of skirt shell 1 97.8163 mm
裙座筒体有效段的横截面积                            Cross sectional area of effective skirt shell adjacent to base plate A21=Le1*Tsk 1144.45 mm2
面积A21的形心至底板外表面的距离                 Distance from centroid of area A21 to outside surface of base plate Y21= 105.85 mm
裙座筒体有效段的惯性矩                                     Moment of inertia of skirt shell I21=Le1*Tsk3/12 13055.3 mm4
ΣA=A1+A21 10351.5 mm2
ΣAY=A1*Y1+A21*Y21 1548225 mm3
ΣAY2=A1*Y12+A21*Y212 2.3E+08 mm4
ΣI=I1+I21 7.4E+07 mm4
面积ΣA的形心至底板外表面的距离                 Distance from centroid of ΣA to outside surface of base plate  C1=ΣAY/ΣA 149.566 mm
面积ΣA的形心至底板内表面的距离                   Distance from centroid of ΣA to inside surface of base plate C2=Wb-C1 160.434 mm
组合惯性矩 Moment of inertia of ΣA  I=ΣAY2+ΣI-C1*ΣAY 7.6E+07 mm4
R=Do/2-C1 1300.43 mm
内力矩 Internal moment Mb2=Kr*f*R 见表1                               See table 1
周向内力 Internal circumferential force F2=Kt*f 见表1                               See table 1
底板外表面的应力 Stress at outside surface of base plate σ12=Mb2*C1/I+F2/ΣA 见表1                               See table 1
底板内表面的应力                                       Stress at inside surface of base plate σ22=-Mb2*C2/I+F2/ΣA 见表1                               See table 1
底板外表面的组合应力 Combined stress at outside surface of base plate σ1=σ11+σ12 见表2                               See table 2
底板内表面的组合应力 Combined stress at inside surface of base plate σ2=σ21+σ22 见表2                               See table 2
b) 盖板圈的应力 Stress in top ring
盖板圈的横截面积                                        Cross sectional of top ring A3= 4158 mm2
面积A3的形心至底盖板圈外表面的距离                 Distance from centroid of area A3 to outside surface of top ring Y32=Wr/2 70 mm
盖板圈的惯性矩                                    Moment of inertia of top ring I3= 6791400 mm3
裙座筒体的有效长度                                    Effective length of skirt shell Le2=2*Le1+Tr 225.333 mm
裙座筒体有效段的横截面积                            Cross sectional area of effective skirt shell adjacent to base plate A22=Le2*Tsk 2636.39 mm2
面积A22的形心至盖板圈外表面的距离                 Distance from centroid of area A22 to outside surface of top ring Y22=Wr+Tsk/2 145.85 mm
裙座筒体有效段的惯性矩                                     Moment of inertia of skirt shell I22=Le2*Tsk3/12 30074.6 mm4
ΣA=A3+A22 6794.39 mm2
ΣAY=A3*Y32+A22*Y22 675578 mm3
ΣAY2=A3*Y322+A22*Y222 7.6E+07 mm4
ΣI=I3+I22 6821475 mm4
面积ΣA的形心至盖板圈外表面的距离                 Distance from centroid of ΣA to outside surface of top ring C12=ΣAY/ΣA 99.4317 mm
面积ΣA的形心至裙座筒体内表面的距离                   Distance from centroid of ΣA to inside surface of skirt shell C22=Wr+Tsk-C2 52.2683 mm
组合惯性矩 Moment of inertia of ΣA  I=ΣAY2+ΣI-C12*ΣAY 1.6E+07 mm4
R=Dr/2-C12 1390.57 mm
内力矩 Internal moment Mb3=-Kr*f*R 见表1                               See table 1
周向内力 Internal circumferential force F3=-Kt*f 见表1                               See table 1
盖板圈外表面的应力 Stress at outside surface of top ring σ32=Mb3*C12/I+F3/ΣA 见表1                               See table 1
盖板圈外表面的组合应力 Combined stress at outside surface of top ring σ3=σ31+σ32 见表2                               See table 2
(4) 支撑管强度校核 Strength check of stay pipe (注: 只有在采用拉撑管时,才进行此项计算。Note: this part of cauculation shall be done only where a stay pipe is used.)
尾部吊耳的最大垂直起吊载荷 Maximum vertical lifting load of tailing lug T'=WL*L1/L 484858 N
支撑管的拉伸载荷                                              Tensile load acting on stay pipe Fs=0.5*T' 242429 N
支撑管的横截面积                                              Cross sectional area of stay pipe As=π*(Ds02-(Dso-2Ts)2)/4 4495.62 mm2
支撑管的拉伸应力                                          Tensile stress in stay pipe σs=Fs/As 53.9256 Mpa
支撑管材料的许用应力                                         Allowable stress of stay pipe material [σ]s=Sys/1.6 153.125 Mpa
表1 Table 1
θ(deg) 0 10 20 30 40 50 60 70 80 85
T(N) 484857.5 479708.8 474348.5 468396.6 461296.5 452064.1 438614.7 415388.8 360433 285926.4
fr(N) 484857.5 472421 445741.8 405643.4 353373.6 290581.2 219307.4 142071.3 62588.53 24920.13
fl(N) 0 83300.56 162236.7 234198.3 296515.7 346301.2 379851.5 390337.8 354957.2 284838.4
M(N.mm) 0 10412571 20279591 29274789 37064460 43287649 47481437 48792227 44369652 35604797
σt(Mpa) 48.85  47.60  44.91  40.87  35.60  29.28  22.10  14.31  6.31  2.51 
σb(Mpa) 0.00  25.18  49.04  70.79  89.63  104.68  114.82  117.99  107.29  86.10 
Mw               (N.mm) 0 16891503 32898004 47490214 60126791 70222187 77025443 79151835 71977435 57758894
f1(Mpa) 0 3.137068 6.109774 8.81982 11.16667 13.04157 14.30506 14.69997 13.36755 10.72691
f2(Mpa) 0 7.946905 15.47744 22.34261 28.28771 33.03726 36.23797 37.23837 33.86305 27.17369
f3(Mpa) 18.25955 17.79119 16.78647 15.27638 13.30792 10.94318 8.259032 5.350353 2.35706 0.938483
f4(Mpa) 0 12.77181 24.87446 35.90776 45.46238 53.0956 58.2396 59.84738 54.42276 43.672
Mb1                    (N.mm) 51507528 50186365 47352170 43092428 37539692 30869109 23297525 15092565 6648924 2647323
F1(N) -115735 -112767 -106399 -96827.1 -84350.3 -69361.7 -52348.7 -33912.4 -14939.9 -5948.43
σ11(Mpa) 39.96446 38.93937 36.74033 33.43522 29.12688 23.9512 18.07644 11.71025 5.158869 2.054045
σ21(Mpa) -87.1128 -84.8784 -80.085 -72.8806 -63.4895 -52.2078 -39.4023 -25.5255 -11.2451 -4.47732
σ31(Mpa) 56.36152 54.91585 51.81457 47.15339 41.07738 33.77817 25.49305 16.51487 7.275508 2.896802
Ml(N.mm) 0 18742627 36503265 52694621 66716029 77917769 85466587 87826008 79865373 64088635
f(N) 0 67009.75 130508.6 188396.9 238527.1 278576.2 305565.2 314000.7 285539.4 229133.5
Mb2                    (N.mm) 0 6927770 13492570 19477323 24660005 28800464 31590707 32462811 29520350 23688851
f2(N) 0 -15995.2 -31152.4 -44970.3 -56936.4 -66496.1 -72938.4 -74952 -68158.3 -54694.2
σ12(Mpa) 0 12.05181 23.47219 33.8835 42.89949 50.10239 54.9564 56.47355 51.35473 41.21003
σ22(Mpa) 0 -16.1303 -31.4154 -45.35 -57.4171 -67.0575 -73.5541 -75.5847 -68.7336 -55.1559
Mb3                    (N.mm) 0 -7407940 -1.4E+07 -2.1E+07 -2.6E+07 -3.1E+07 -3.4E+07 -3.5E+07 -3.2E+07 -2.5E+07
F3(N) 0 15995.23 31152.41 44970.35 56936.42 66496.14 72938.41 74951.98 68158.26 54694.16
σ32(Mpa) 0 -43.3857 -84.4982 -121.978 -154.435 -180.365 -197.839 -203.301 -184.873 -148.353
表2 应力计算结果
Table 2 Stress Calculation Results
θ(deg) 0 10 20 30 40 50 60 70 80 85
σ(Mpa) 48.85  72.78  93.95  111.66  125.23  133.95  136.91  132.30  113.60  88.61 
[σ]t(Mpa) 203.33 
σ<[σ]t,  合格,  Acceptable.
τ(Mpa) 63.03  62.36  61.67  60.89  59.97  58.77  57.02  54.00  46.86  37.17 
[τ](Mpa) 122.00 
τ<[τ],  合格,  Acceptable.
σp(Mpa) 74.58  73.79  72.97  72.05  70.96  69.54  67.47  63.90  55.44  43.98 
[σp] 274.50 
σp<[σp],  合格,  Acceptable.
τw 18.26  32.51  46.92  59.92  70.79  78.89  83.53  83.36  73.86  58.54 
[τw] 85.40 
τw<[τw],  合格,  Acceptable.
σ1(Mpa) 39.96  50.99  60.21  67.32  72.03  74.05  73.03  68.18  56.51  43.26 
σ2(Mpa) -87.113 -101.01 -111.5 -118.23 -120.91 -119.27 -112.96 -101.11 -79.979 -59.633
[σ]b 216.67 
σ1<[σ]b,  合格,  Acceptable.
|σ2|<[σ]b,  合格,  Acceptable.
σ3(Mpa) 56.3615 11.5302 -32.684 -74.825 -113.36 -146.59 -172.35 -186.79 -177.6 -145.46
[σ]r 216.67 
|σ3|<[σ]r,  合格,  Acceptable.
σs 53.93  σs<[σ]s,  合格,  Acceptable.
[σ]s 153.13 
    表中 Where
θ— 设备轴线与水平面的夹角 Included angle between equipment axis and horizontal plane
σ— 尾部吊耳拉伸应力与弯曲应力之和  Sum of tensile stress and bending stress of tailing lug 
[σ]t—
尾部吊耳的许用拉伸应力 Allowable tensile stress of tailing lug
τ— 吊耳孔截面处的剪应力 Shear stress at cross section of pin hole
[τ]—
尾部吊耳的许用剪切应力 Allowable shear stress of tailing lug
σp—
吊耳孔处的挤压应力 Bearing stress at pin hole
[σp]—
尾部吊耳的许用挤压应力 Allowable bearing stress of tailing lug
τw—
尾部吊耳与裙座连接焊缝的剪应力 Shear stress of welds attaching tailing lug to skirt
[τw]—
焊缝的许用剪切应力 Allowable shear stress of welds
σ1— 底板外圆表面的应力 Stress at outside surface of base plate
σ2— 底板内圆表面的应力 Stress at inside surface of base plate
[σ]b—
底板的许用应力 Allowable stress of base plate
σ3— 盖板圈外圆表面的应力 Stress at outside surface of top ring
[σ]r—
盖板圈的许用应力 Allowable stress of top ring
σs—
拉撑管的拉伸应力 Tensile stress in stay pipe
[σ]s—
拉撑管材料的许用应力 Allowable stress of stay pipe material
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