电子版实用五金手册(2)

D -Ö Ð » ä ¶ Ï Â æ Ö ±½ ¶ d -µ ³Ö ±½ ¶ l -Í °· ß

椭球体

a,b,c-半轴

v=

4 abcp 3

S = 2 2 · b · a 2 + b2

交叉圆柱体

r -Ô ² Ö õ ° ë ½ ¶ l1, l - Ô ² Ö õ ³ ¤

V = pr 2 (l + l1 -

2r ) 3

梯形体

a, b - Ï Á µ ³± ß ³ ¤ a1, b1 - È Ï µ ³± ß ³ ¤ h-È Ï ¡ ¢ Ï Á µ ³± ß ½ ´ ¿ ë £ ¨· ß £ ©

V = =

h [(2a + a1 )b + (2a1 + a)b1 ] 6

h [ab + (a + a1 )(b + b1 ) + a1b1 ] 6

R-Ô²ÆòÌåż½õ°ë½¶

D-Ô²º²Ìåż½õ°ë½¶d-Ô²º²Ìå¼×ÂæÖ±½¶

r-

V=2pr2R·r2=122pDd4

S=4pr2Rr=p2Dd=39.478Rr

hÎÔÓ¶Úp³ÄïÏß2ÐÎÍ°2å2ÌV=(3R1+3r2+h)bpl3V=(2D2+Dd+d2)S=2pRh115422Ô=¶Ú2ÔÓ²Î+аÍå(r1+r2)SpRhpÌ

plV=(2D2+d2)12

v=4abcp3

S=22·b·a2+b2

V=pr2(l+l1-2r)3

V==h[(2a+a1)b+(2a1+a)b1]6h[ab+(a+a1)(b+b1)+a1b1]6

电子版实用五金手册

的体积和表面积重心(G)å º Ì ý (V )µ ³Â æ º ý (F ) í  ± æ º ý ( S )² ´ ± í Â æ º ý ( S1 ) V = a3

S = 6a 2 S1 = 4 a 2

在对角线交点上

V = a·b·h S = 2( a · b + a · h + b · h ) S1 = 2h(a + b) d = a 2 + b2 + h2

G0=h/2

Go=h/2

V = F ·h S = (a + b + c) · h + 2 F S1 = (a + b + c) · h

Go=h/4

V =

1 F ·h 3 S = n· f + F S1 = n · f

ý ºº ý

Ô ² Ö õ £ ¹ 1 V = h ( F1 + F2 + F1F2 ) V = p3 R2 · h S = an + F + F2 2 S = 2pR · 1 h + 2pR S1 = an S1 = 2pR · h Õ Ð ¾ Ã Ö ±Ô ² Ö õ £ ¹ V = ph( R 2 - r 2 ) = 2pRpth S = 2p ( R + r )h + 2p ( R 2 - r 2 ) S1 = 2ph( R + r )

h F1 + 2 F1 F2 + 3 F2 · Go= /2 4 F1 + F1 F2 + F2 G 0 h=

h +h V =p r2 · 1 2 1 2 V = pr h 2 3

G0 =

h1 + h2 r 2tg 2a + 4 4(h1 + h2 )

ýººý2h1+h2V=pr1·V=pr2h23h1+h2r2tg2aG0=+44(h1+h2)

电子版实用五金手册

V = h ( F1 + F2 + F1F2 ) V = p3 R2 · h S = an + F + F2 2 S = 2pR · 1 h + 2pR S1 = an S1 = 2pR · h

G0 =

h F1 + 2 F1 F2 + 3 F2 · 4 F1 + F1 F2 + F2

Õ Ð ¾ Ã Ö ±Ô ² Ö õ £ ¹ V = ph( R 2 - r 2 ) = 2pRpth S = 2p ( R + r )h + 2p ( R 2 - r 2 ) S1 = 2ph( R + r )

h +h V =p r2 · 1 2 1 2 V = pr h 2 3 1 S = pr (h1 + h ) + pr 2 · (1 + ) 2 2 2 cos a S1 = pr r + h = prl S1 = pr2(h1 +2h2 ) l = r +hS = S1 + pr 2

G0 =

h1 + h2 r 2tg 2a + 4 4(h1 + h2 ) 2 r2 · tga h1 + h2

h Go= / 1 GK4= ·

V =

ph · ( R 2 + r 2 + Rr ) 3 S1 = pl ( R + r )

l = ( R - r )2 + h2 S = S1 + p ( R 2 + r 2 )

在球心上

4 pd 3 V = pr 3 = = 0.5236d 3 3 6 S = 4pr 2 = pd 2

G0=

h R 2 + 2Rr + 3r 2 · 4 R 2 + Rr + r 2

Go=3/4(r-h/2)

° ë ½ ¶ Î µ Ð ³Ô ² Ö ±½ ¶

Î · Ð ß

22 2 h 2 V = = php r V ( rh -= 2 ) .0944r h 3 3 pr 2 S= ( 4h + d ) d = 1.57 r ( 4h + d ) Sö = + h2 ) 22prh = p ( Æ 4 S = ph(4r - h)

Go=3(2r-h) /4(3r-h)

2

d 2 = 4h( 2r - h)

0.899363

2.65958

在环中心上

9.688471 V = 2pr 2 R · r 2 = p 2 Dd 2 4 S = 4pr 2 Rr = p 2 Dd = 39.478Rr

V=2pr2R·r2=12

4pDd2

S=4pr2Rr=p2Dd=39.478Rr0.8993639.688472.65958ë½°¶ÎµÐ³Ô²Ö±½¶

电子版实用五金手册

V = 2pr 2 R · r 2 =

1 2 2 p Dd 4

S = 4pr 2 Rr = p 2 Dd = 39.478Rr

Go=h1+h/2

à O1µ Ð Ã ½ ´ ¿ ë

hÎ Ô Ó ¶ Úp ³ Ä ï Ï ß2 Ð Î Í °2 å 2 Ì V = (3R1 + 3r2 +h ) b pl 3 2 V = (2 D + Dd + d 2 ) S 2pRh 1 = 15 4 Ô= ¶ Ó Ú 2Ô ² Î+ Ð ° Í å( r12 + r22 ) S pRh pÌ pl V = (2 D 2 + d 2 ) 12

在轴交点上

在轴交点上

v=

4 abcp 3

S = 2 2 · b · a 2 + b2

在二轴交点上

V = pr 2 (l + l1 -

2r ) 3

V = =

h [(2a + a1 )b + (2a1 + a)b1 ] 6

ß £ · ©

h [ab + (a + a1 )(b + b1 ) + a1b1 ] 6

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电子版实用五金手册

电子版实用五金手册

3.558943

3.558943