橫梁強(qiáng)度計(jì)算

受靜載荷梁的強(qiáng)度計(jì)算,,,,,,,,

一、簡(jiǎn)支梁,,,,,,,,

1、簡(jiǎn)支梁原始條件,,,,,,,,

序號(hào),名稱(chēng),符號(hào),數(shù)值,單位,備注,,,

1,簡(jiǎn)圖,,P,,,槽鋼,工字鋼,角鋼

2,型鋼種類(lèi),,[10,,,B28,F28,J28

3,慣性矩,Ix,198,cm4,,D28,H28,L28

4,截面模數(shù),Wx,39.7,cm3,σm>[σ],C28,G28,K28

5,受力,P,7000,N,σm<[σ],,,

6,梁的長(zhǎng)度,l,220,cm,f>[f],,,

7,a值,a,0,cm,f<[f],,,

8,A3彈性模量,E,2.0E+07,N/cm2,不合適,,,

9,A3許用應(yīng)力,[σ],140,MPa,合適,,,

,,,,,,,,,

,,,,,,,,,

2、強(qiáng)度計(jì)算,,,,,,,,

序號(hào),計(jì)算內(nèi)容,符號(hào),運(yùn)算公式,數(shù)值,單位,,,

1,彎矩,Mmax,Mmax=P·l/4,3850,Nm,,,

2,應(yīng)力,σm,σm=Mmax/Wx,97.0,MPa,,,

,結(jié)果,,σm<[σ],合適,,,,

,,,,,,,,,

3、撓度,,,,,,,,

序號(hào),計(jì)算內(nèi)容,符號(hào),運(yùn)算公式,數(shù)值,單位,,,

1,撓度,f,f=Pl3/48EIx,0.39,cm,,,

2,許用撓度,[f],[f]=l/500,0.44,cm,,,

,結(jié)果,,f<[f],合適,,,,

,,,,,,,,,

,,,,,,,,,

1、原始條件,,,,,,,,

序號(hào),名稱(chēng),符號(hào),數(shù)值,單位,備注,,,

1,簡(jiǎn)圖,,PP,,[16a,,,

2,型鋼尺寸,,[10,mm,,,,

3,慣性矩,Ix,198,cm4,,,,

4,截面模數(shù),Wx,39.7,cm3,,,,

5,受力,P,20000,N,,,,

6,梁的長(zhǎng)度,l,170,cm,,,,

7,a值,a,45,cm,,,,

8,A3彈性模量,E,2.0E+07,N/cm2,,,,

9,A3許用應(yīng)力,[σ],140,MPa,,,,

,,,,,,,,,

,,,,,,,,,

2、強(qiáng)度計(jì)算,,,,,,,,

序號(hào),計(jì)算內(nèi)容,符號(hào),運(yùn)算公式,數(shù)值,單位,,,

1,彎矩,Mmax,Mmax=P·a,9000,Nm,,,

2,應(yīng)力,σm,σm=Mmax/Wx,226.7,MPa,,,

,結(jié)果,,σm>[σ],不合適,,,,

,,,,,,,,,

3、撓度,,,,,,,,

序號(hào),計(jì)算內(nèi)容,符號(hào),運(yùn)算公式,數(shù)值,單位,,,

1,撓度,f,f=Pal2/24EIx*(3-4(a/l)2),0.74,cm,,,

2,許用撓度,[f],[f]=l/500,0.34,cm,,,

,結(jié)果,,f>[f],不合適,,,,

,,,,,,,,,

,,,,,,,,,

1、均布載荷原始條件,,,,,,,,

序號(hào),名稱(chēng),符號(hào),數(shù)值,單位,備注,,,

1,簡(jiǎn)圖,,,,,平臺(tái)負(fù)荷（kN/㎡),,2.5

2,型鋼尺寸,,[10,mm,,,,3.5

3,慣性矩,Ix,198,cm4,,槽鋼,工字鋼,角鋼

4,截面模數(shù),Wx,39.7,cm3,,B28,F28,J28

5,均布載荷,q,2800,N/m,,D28,H28,L28

6,梁的長(zhǎng)度,L,300,cm,,C28,G28,K28

7,A3鋼彈性模量,E,2.0E+07,N/cm2,,,,

8,A3鋼許用應(yīng)力,[σ],140,MPa,,,,

,,,,,,,,,

,,,,,,,,,

2、強(qiáng)度計(jì)算,,,,,,,,

序號(hào),計(jì)算內(nèi)容,符號(hào),運(yùn)算公式,數(shù)值,單位,,,

1,彎矩,Mmax,Mmax=q·L2/8,3150,Nm,,,

2,應(yīng)力,σm,σm=Mmax/Wx,79.3,MPa,,,

,結(jié)果,,σm<[σ],合適,,,,

,,,,,,,,,

3、撓度,,,,,,,,

序號(hào),計(jì)算內(nèi)容,符號(hào),運(yùn)算公式,數(shù)值,單位,,,

1,撓度,f,f=5qL4/384EIx,0.75,cm,,,

2,許用撓度,[f],[f]=l/400,0.75,cm,,,

,結(jié)果,,f<[f],合適,,,,

,,,,,,,,,

二、懸臂梁,,,,,,,,

1、懸臂梁原始條件,,,,,,,,

序號(hào),名稱(chēng),符號(hào),數(shù)值,單位,備注,,,

1,簡(jiǎn)圖,,,,,,,

2,角鋼尺寸,,I10,mm,,,,

3,慣性矩,Ix,245,cm4,,,,

4,截面模數(shù),Wx,49,cm3,,,,

5,受力,P,5000,N,,,,

6,梁的長(zhǎng)度,L,110,cm,,,,

7,A3鋼彈性模量,E,2.0E+07,N/cm2,,,,

8,A3鋼許用應(yīng)力,[σ],140,MPa,,,,

,,,,,,,,,

2、強(qiáng)度計(jì)算,,,,,,,,

序號(hào),計(jì)算內(nèi)容,符號(hào),運(yùn)算公式,數(shù)值,單位,,,

1,彎矩,Mmax,Mmax=-PL,5500,Nm,,,

2,應(yīng)力,σm,σm=Mmax/Wx,112.2,MPa,,,

,結(jié)果,,σm<[σ],合適,,,,

,,,,,,,,,

3、撓度,,,,,,,,

序號(hào),計(jì)算內(nèi)容,符號(hào),運(yùn)算公式,數(shù)值,單位,,,

1,撓度,fA,fmax=-PL3/3EIx,0.45,cm,,,

2,許用撓度,[f],[f]=l/400,0.28,cm,,,

,結(jié)果,,f>[f],不合適,,,,

,,,,,,,,,

,,,,,,,,,

1、懸臂梁,,,,,,,,

序號(hào),名稱(chēng),符號(hào),數(shù)值,單位,備注,,,

1,簡(jiǎn)圖,,,,均布載荷,,,

2,角鋼尺寸,,L30x3,mm,,槽鋼,工字鋼,角鋼

3,慣性矩,Ix,1.46,cm4,,B24,F24,J24

4,截面模數(shù),Wx,0.68,cm3,,D24,H24,L24

5,均布載荷,q,500,N/m,,C24,G24,K24

6,梁的長(zhǎng)度,L,100,cm,,,,

7,A3鋼彈性模量,E,2.0E+07,N/cm2,,,,

8,A3鋼許用應(yīng)力,[σ],140,MPa,,,,

,,,,,,,,,

2、強(qiáng)度計(jì)算,,,,,,,,

序號(hào),計(jì)算內(nèi)容,符號(hào),運(yùn)算公式,數(shù)值,單位,,,

1,彎矩,Mmax,Mmax=-qL2/2,250,Nm,,,

2,應(yīng)力,σm,σm=Mmax/Wx,367.6,MPa,,,

,結(jié)果,,σm>[σ],不合適,,,,

,,,,,,,,,

3、撓度,,,,,,,,

序號(hào),計(jì)算內(nèi)容,符號(hào),運(yùn)算公式,數(shù)值,單位,,,

1,撓度,fA,fmax=-qL4/8EIx,2.14,cm,,,

2,許用撓度,[f],[f]=l/300,0.33,cm,,,

,結(jié)果,,f>[f],不合適,,,,

,,,,,,,,,

,,,,,,,,,

三、兩端固定梁,,,,,,,,

1、兩端固定梁原始條件,,,,,,,,

序號(hào),名稱(chēng),符號(hào),數(shù)值,單位,備注,,,

1,簡(jiǎn)圖,,P,,,,,

2,型鋼尺寸,,][100x50x3.0,mm,,槽鋼,工字鋼,角鋼

3,慣性矩,Ix,346,cm4,,B24,F24,J24

4,截面模數(shù),Wx,57.7,cm3,σm>[σ],D24,H24,L24

5,受力,P,10000,N,σm<[σ],C24,G24,K24

6,梁的長(zhǎng)度,l,360,cm,f>[f],,,

7,a值,a,0,cm,f<[f],,,

8,A3彈性模量,E,2.0E+07,N/cm2,不合適,,,

9,A3許用應(yīng)力,[σ],140,MPa,合適,,,

,,,,,,,,,

,,,,,,,,,

2、強(qiáng)度計(jì)算,,,,,,,,

序號(hào),計(jì)算內(nèi)容,符號(hào),運(yùn)算公式,數(shù)值,單位,,,

1,彎矩,Mmax,Mmax=P·l/8,4500,Nm,,,

2,應(yīng)力,σm,σm=Mmax/Wx,78.0,MPa,,,

,結(jié)果,,σm<[σ],合適,,,,

,,,,,,,,,

3、撓度,,,,,,,,

序號(hào),計(jì)算內(nèi)容,符號(hào),運(yùn)算公式,數(shù)值,單位,,,

1,撓度,f,f=Pl3/192EIx,0.35,cm,,,

2,許用撓度,[f],[f]=l/400,0.90,cm,,,

,結(jié)果,,f<[f],合適,,,,

,,,,,,,,,

1、原始條件,,,,,,,,

序號(hào),名稱(chēng),符號(hào),數(shù)值,單位,備注,,,

1,簡(jiǎn)圖,,PP,,,,,

2,型鋼尺寸,,I10,mm,,槽鋼,工字鋼,角鋼

3,慣性矩,Ix,245,cm4,,B24,F24,J24

4,截面模數(shù),Wx,49,cm3,,D24,H24,L24

5,受力,P,45000,N,,C24,G24,K24

6,梁的長(zhǎng)度,l,390,cm,,,,

7,a值,a,235,cm,,,,

8,b值,b,130,cm,,,,

9,c值,c,25,cm,,,,

10,A3彈性模量,E,2.0E+07,N/cm2,,,,

11,A3許用應(yīng)力,[σ],140,MPa,,,,

,,,,,,,,,

,,,,,,,,,

2、強(qiáng)度計(jì)算,,,,,,,,

序號(hào),計(jì)算內(nèi)容,符號(hào),運(yùn)算公式,數(shù)值,單位,,,

1,彎矩,Mmax,Mmax=Pa(2c+b)/l,48808,Nm,,,

2,應(yīng)力,σm,σm=Mmax/Wx,996.1,MPa,,,

,結(jié)果,,f>[f],不合適,,,,

,,,,,,,,,

3、撓度,,,,,,,,

序號(hào),計(jì)算內(nèi)容,符號(hào),運(yùn)算公式,數(shù)值,單位,,,

1,撓度,fc,fc=Pa/6EIxl*[(2a+c)l2-4a2l+2a3-a2c-c3],12.63,cm,,,

,撓度,fd,fd=Pc/6EIxl*[(2c+a)l2-4c2l+2c3-ac2-a3],2.87,cm,,,

2,許用撓度,[f],[f]=l/400,0.98,cm,,,

,結(jié)果,,f>[f],不合適,,,,

,,,,,,,,,

,,,,,,,,,

1、簡(jiǎn)支梁原始條件,,,,,,,,

序號(hào),名稱(chēng),符號(hào),數(shù)值,單位,備注,,,

1,簡(jiǎn)圖,,P,,,,,

2,型鋼尺寸,,I10,mm,,槽鋼,工字鋼,角鋼

3,慣性矩,Ix,34.86,cm4,,B24,F24,J24

4,截面模數(shù),Wx,6.83,cm3,σm>[σ],D24,H24,L24

5,受力,P,3000,N,σm<[σ],C24,G24,K24

6,梁的長(zhǎng)度,l,100,cm,f>[f],,,

7,a值,a,50,cm,f<[f],,,

8,b值,b,50,cm,f<[f],,,

9,A3彈性模量,E,2.0E+07,N/cm2,不合適,,,

10,A3許用應(yīng)力,[σ],140,MPa,合適,,,

,,,,,,,,,

,,,,,,,,,

2、強(qiáng)度計(jì)算,,,,,,,,

序號(hào),計(jì)算內(nèi)容,符號(hào),運(yùn)算公式,數(shù)值,單位,,,

1,彎矩,Mmax,Mmax=Pab/l,750,Nm,,,

2,應(yīng)力,σm,σm=Mmax/Wx,109.8,MP