齿啮式卡箍连接件强度计算

齿啮式卡箍连接件应力计算,,,依据HG/T20582-2011,,,,,,,,,

,,,蓝色字体需要输入,,,,,,,,,

卡箍和卡箍齿部应力计算,,,,案1,案0,,,,,,,

序号,项目,符号,公式或数据来源,数值,数值,单位,,,,,,

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,总轴向力,,,38220000,38220000,N,,,,,,

,法兰齿外径,A,设计图纸,4886.5,4886.5,mm,,,,,,

,法兰齿顶处圆弧半径,rL,设计图纸,20,20,mm,,,,,,

,法兰齿和卡箍齿相接触时的有效外径,C1,A-2rL,4846.5,4846.5,mm,,,,,,

,卡箍齿长度,CL,设计图纸,100,100,mm,,,,,,

,卡箍齿顶处圆弧半径,r1,设计图纸,20,20,mm,,,,,,

,卡箍齿有效长度,Cm,CL-r1,80,80,mm,,,,,,

,卡箍体厚度,Ct,设计图纸,110,110,mm,,,,,,

,卡箍齿内径,C3,设计图纸,4706.5,4706.5,mm,,,,,,

,法兰齿和卡箍齿相接触时的有效内径,C2,C3+2r1,4746.5,4746.5,mm,,,,,,

,钢材的泊松比,υ,标准给定,0.3,0.3,,,,,,,

,卡箍高度,Cw,设计图纸,1183,1243,mm,,,,,,

,卡箍开口间隙,Cg,设计图纸,783,783,mm,,,,,,

,和卡箍结构尺寸有关的参数,β1,1.818/(Ct(C2+2Cm+Ct))^0.5,0.002447356,0.002447356,mm-1,,,,,,

,系数,K1,H(Cm+Ct/2)/(pi*(C2+2Cm+Ct)),327396.2962,327396.2962,,,,,,,

,系数,K2,((1-υ2)/(β1(C2+2Cm+Ct)),0.074121372,0.074121372,,,,,,,

,系数,K3,（Cw-Cg）/2Ct)3,6.010518407,9.141247183,,,,,,,

,系数,K4,(C2+2(Cm+Ct))/(C2+2Cm),1.04483848,1.04483848,,,,,,,

,系数,K5,1+0.25β1(Cw-Cg),1.244735589,1.281445927,,,,,,,

,卡箍体和卡箍环连接处的边缘力矩,M1,K1/(K2K3LNK4-K5),267219.836,261555.7754,N﹒mm,,,,,,

,卡箍体的轴向弯曲应力,SBC,6M1/Ct2,132.5057038,129.6970787,MPa,,,,,,

,卡箍体的轴向拉伸应力,STC,H/(pi(C2+2Cm+Ct)Ct),22.04688863,22.04688863,MPa,,,,,,

6,卡箍体的轴向总应力,S6,SBC+STC,154.5525924,151.7439673,MPa,,,,,,

,计及安装偏差引入的载荷修正系数,f1,标准给定,1.2,1.2,,,,,,,

,齿数,n,设计图纸,26,26,,,,,,,

,卡箍齿在根部的弧长,L,设计图纸,286,286,mm,,,,,,

7,卡箍齿根轴向剪切应力,S7,3Hf1/(nL(Cw-Cg)),46.25874126,40.2249924,MPa,,,,,,

8,卡箍齿根的弯曲应力,S8,24HCmf1/(nL(Cw-Cg)2),74.01398601,55.96520682,MPa,,,,,,

,封头齿在根部的弧长,Lc,设计图纸,314,314,mm,,,,,,

9,卡箍齿和法兰齿接触面上的挤压应力,S9,2Hf1/(n(C1-C2)Lc),112.3566879,112.3566879,MPa,,,,,,

,卡箍齿根转角处的过渡半径,rc,设计图纸,20,20,mm,,,,,,

,卡箍齿根转角处的弯曲应力集中系数,KBC,1+（((Ct+2CL)/Ct-1)/(2(5.37(Ct+2C1)/Ct-4.8))*Ct/rc）^0.85,1.539522182,1.539522182,,,,,,,

,卡箍齿根转角处的拉伸应力集中系数,KTC,1+（((Ct+2CL)/Ct-1)/(4(1.4(Ct+2CL)/Ct-1))*Ct/rc）^0.65,1.898901271,1.898901271,,,,,,,

,卡箍齿在根部的节距,LP,设计图纸,616.6,616.6,mm,,,,,,

,卡箍齿的应力修正系数,f2,LP/L,2.155944056,2.155944056,,,,,,,

10,卡箍齿根处的高峰应力,S10,(KBCSBC+KTCSTC)f1f2,636.0733537,624.8867447,MPa,,,,,,

a,材料在设计温度下的许用应力幅,Sa,JB4732-1995图C-1确认(p166),350,350,MPa,,,,,,

应力校核,,,,,,,,,,,,

序号,项目,符号,公式或数据来源,数值,数值,单位,,,,,,

,卡箍材料,,ZG-270-500,,,,,,,,,

,卡箍材料许用应力,[σ]t,,112.5,112.5,MPa,,数值比较,案1,案0,,

,,S6,≤1.5[σ]t,强度计算通过,强度计算通过,,,S6,154.5525924,151.7439673,1.5[σ]t,168.75

,,S7,≤0.8[σ]t,强度计算通过,强度计算通过,,,S7,46.25874126,40.2249924,0.8[σ]t,90

,,S8,≤1.0[σ]t,强度计算通过,强度计算通过,,,S8,74.01398601,55.96520682,1.0[σ]t,112.5

,,S9,≤1.6[σ]t,强度计算通过,强度计算通过,,,S9,112.3566879,112.3566879,1.6[σ]t,180

,,S10,≤2Sa,强度计算通过,强度计算通过,,,S10,636.0733537,624.8867447,2Sa,700

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法兰颈部和法兰齿部应力计算,,,,,,,,,,,,

序号,项目,符号,公式或数据来源,数值,数值,单位,,,,,,

,圆筒内径,B,设计图纸,4446,4446,mm,,,,,,

,总轴向力,,,38220000,38220000,N,,,,,,

,法兰颈部大端厚度,g1,设计图纸,120,120,mm,,,,,,

,法兰颈部小端厚度,g0,设计图纸,100,100,mm,,,,,,

,法兰颈部的轴向拉伸应力,STF,HD/(PI*g1*(B+g1)),22.20361339,22.20361339,MPa,,,,,,

,由法兰环形心至总轴向力H作用中心圆之间的径向距离,hD,0.5（0.5（C1+C2）-(B+g1)）,115.25,115.25,mm,,,,,,

,由轴向力HD所引起的力矩,MD,HDhD,4404855000,4404855000,N﹒mm,,,,,,

,由轴向力HT所引起的力矩,MT,HThT,0,0,N﹒mm,,,,,,

,由轴向力HD所引起的偏置力矩,MF,HD(g1-g0)/2,382200000,382200000,N﹒mm,,,,,,

,垫片有效密封宽度,b,按GB150法兰部分确定,,,mm,,,,,,

,垫片系数,m,按GB150垫片性能参数表选取,,,,,,,,,

,操作状态的垫片压紧力,HG,0（自紧式）或2pibGmpc（强制式）,,,N,,,,,,

,由垫片压紧力HG所引起的力矩,MG,0（自紧式）或HGhG（强制式）,,,N﹒mm,,,,,,

,作用在法兰环上的总力矩,M0,MD+MF,4787055000,4787055000,N﹒mm,,,,,,

,法兰环高度,T,设计图纸,150,230,mm,,,,,,

,法兰环端面至法兰环形心的轴向距离,h_,0.5T,75,115,mm,,,,,,

,法兰环沿平行于法兰环表面中性轴的惯性矩,IA,g1T^3/12,33750000,121670000,mm4,,,,,,

,由圆筒内壁至法兰环形心的径向距离,g_,g1/2,60,60,mm,,,,,,

,法兰环和法兰径连接处的边缘力矩,MH,M0/((1+1.818/(Bg1)^0.5)((T-h_)+3.305IA/(g1^2(0.5B+g_)))),60913259.07,37531291.68,N﹒mm,,,,,,

,法兰颈部的轴向弯曲应力,SBF,6MH/(PIg1^2(B+g1)),1.769354337,1.090175681,MPa,,,,,,

,法兰颈部应力校正系数,f,,1,1,,,,,,,

1,法兰颈部的轴向总应力,S1,(STF+SBF)f,23.97296773,23.29378907,MPa,,,,,,

,法兰齿在根部处的厚度,h2,设计图纸,150,230,mm,,,,,,

2,法兰齿根的轴向剪切应力,S2,1.5Hf1/(nLCh2),56.17834395,36.6380504,MPa,,,,,,

,法兰径处外径,D0,设计图纸,4686.5,4686.5,mm,,,,,,

3,法兰齿根的弯曲应力,S3,3H((C1+C2)/2-D0)/(nLCh2^2),68.66242038,29.20424307,MPa,,,,,,

,法兰环和法兰径连接处的边缘剪力,QH,1.818MH/(Bg1)^0.5,151610.8781,93414.01485,N,,,,,,

4,法兰环的径向剪切应力,S4,1.5QH/(PI(B+g1)g1),0.132115751,0.081402224,MPa,,,,,,

,封头齿在根部的节距,LPC,设计图纸,548,548,mm,,,,,,

,法兰齿长,g2,设计图纸,100,100,mm,,,,,,

,法兰转角处的过渡半径,rh,设计图纸,20,20,,,,,,,

,法兰齿根转角处的弯曲应力集中系数,KBF,1+（((g1+2g2)/g1-1)g1/(2(5.37(g1+2g2)/g1-4.8))）^0.85,1.578473006,1.578473006,,,,,,,

,,KTF,1+（((g1+2g2)/g1-1)/(4(1.4(g1+2g2)/g1-1))*g1/rh）^0.65,1.943649724,1.943649724,,,,,,,

,法兰齿的应力修正系数,f3,LPC/LC,1.74522293,1.74522293,,,,,,,

5,法兰齿根处的高峰应力,S5,(KBFSBF+KTFSTF)f1f3,96.22934122,93.98414995,MPa,,,,,,

应力校核,,,,,,,,,,,,

序号,项目,符号,公式或数据来源,数值,数值,单位,,,,,,

,卡箍材料,,ZG-270-500,,,,,,,,,

,卡箍材料许用应力,[σ]t,,112.5,112.5,MPa,,数值比较,案1,案0,,

,,S1,≤1.5[σ]t,强度计算通过,强度计算通过,,,S1,23.97296773,23.29378907,1.5[σ]t,168.75

,,S2,≤0.8[σ]t,强度计算通过,强度计算通过,,,S2,56.17834395,36.6380504,0.8[σ]t,90

,,S3,≤1.0[σ]t,强度计算通过,强度计算通过,,,S3,68.66242038,29.20424307,1.0[σ]t,112.5

,,S4,≤0.8[σ]t,强度计算通过,强度计算通过,,,S4,0.132115751,0.081402224,0.8[σ]t,90

,,S5,≤2Sa,强度计算通过,强度计算通过,,,S5,96.22934122,93.98414995,2Sa,700

封头齿部应力计算,,,,,,,,,,,,

序号,项目,符号,公式或数据来源,数值,数值,单位,,,,,,

,封头齿在根部处的厚度,h3,设计图纸,150,230,mm,,,,,,

1,封头齿根的轴向剪切应力,S13,1.5Hf1/(nLCh3),56.17834395,36.6380504,MPa,,,,,,

2,封头齿根的弯曲应力,S14,3H(0.5*(C1+C2)-D0)f1/(nLCh32),82.39490446,35.04509169,MPa,,,,,,

,封头齿根转角处的过渡半径,rh,设计图纸,25,25,mm,,,,,,

,封头齿根转角处的应力集中系数,KC,,2.357576557,2.982508507,,,,,,,

3,封头齿根的轴向剪切应力,S15,KCS14,194.2522952,104.5222841,MPa,,,,,,

应力校核,,,,,,,,,,,,

序号,项目,符号,公式或数据来源,数值,数值,单位