Architecture
°ÇÃà Architecture


¿©¼ö·Î(spillway) »ó·ùºÎ(upstream) °î¼± ±×¸®±â, Ogee type

ÀÛ¼ºÀÚ Uploader : ¿ì°øÀÌ»ê ÀÛ¼ºÀÏ Upload Date: 2023-01-24º¯°æÀÏ Update Date: 2023-01-25Á¶È¸¼ö View : 152

Type1 Type2
Ogee type ¿©¼ö·ÎÀÇ »ó·ùºÎ °î¼± ±×¸®±â

xc, yc, R1, R2 ¸¦ ±¸ÇÏ°í ³­ ÈÄ, ±×¸²¿¡¼­ °î¼± ab ¿Í cd °¡ ¸¸³ª´Â Á¡ xc2, yc2 ¸¦ ±¸ÇÏ°í R2 ¿Í R2 ÀÇ °æ°è°¡ µÇ´Â xes °ªÀ» ±¸ÇÑ´Ù.

Áß½ÉÀÌ (0, -R1) ÀÌ°í ¹ÝÁö¸§ÀÌ R1 ÀÎ ¿ø°ú Áß½ÉÀÌ (xc, yc) ÀÌ°í ¹ÝÁö¸§À» R2 ÀÎ ¿øÀÇ ±³Á¡ÀÌ R2 ¿øÀÇ Á᫐ (xc2, yc2) °¡ µÇ¹Ç·Î, R3 = R1-R2 ¶ó ÇÏ°í µÎ ¿øÀÇ ¹æÁ¤½ÄÀ» ¿¬¸³ÇÏ¿© Ǭ´Ù.



No Image
x^2 + (y+R1)^2 - R3^2 = 0

(x-xc)^2 + (y-yc)^2 - R2^2 = 0

x^2 + y^2 + 2R1y + R1^2 - R3^2 = x^2 - 2xcx + xc^2 + y^2 - 2ycy + yc^2 - R2^2

2xcx = -2R1y - R1^2 + R3^2 + xc^2 - 2ycy + yc^2 - R2^2
      = -2(R1+yc)y - R1^2 + R3^2 + xc^2 + yc^2 - R2^2

R3^2 = (R1-R2)^2 = R1^2 - 2R1R2 + R2^2 À̹ǷÎ,

2xcx = -2(R1+yc)y + xc^2 + yc^2 - 2R1R2

x = (-(R1+yc)/xc)y + (xc^2 + yc^2 - 2R1R2)/(2xc)

°¡ µÇ°í, A = -(R1+yc)/xc, B = (xc^2 + yc^2 - 2R1R2)/(2xc) ¶ó Çϸé

x = Ay + B °¡ µÇ°í, À̸¦ óÀ½ ½Ä¿¡ ´ëÀÔÇÏ¿© Ç®¸é,

x^2 = (Ay)^2 + 2ABy + B^2

(Ay)^2 + 2ABy + B^2 + y^2 + 2R1y + R1^2 - R3^2 = 0

(A^2+1)y^2 + 2(AB+R1)y + B^2 + R1^2 - R3^2 = 0

(A^2+1)y^2 + 2(AB+R1)y + B^2 + 2R1R2 - R2^2 = 0

ÀÌÂ÷¹æÁ¤½ÄÀ̹ǷÎ, ay^2 + by + c = 0 ÇüÅ·Π³õÀ¸¸é,

a = (A^2+1), b = 2(AB+R1), c = B^2 + 2R1R2 - R2^2 °¡ µÇ°í, ±ÙÀÇ °ø½ÄÀ¸·Î Ç®¾î Å« °ªÀ» ¼±ÅÃÇϸé,

yc2 = (-b+sqr(b^2-4ac))/(2a)

xc2 = -sqr((R1-R2)^2-(yc2+R1)^2)

ÀÌ µÈ´Ù.


¢º input data
















R1 ÀÇ Áß½ÉÁ¡À» (0,0) À¸·Î À̵¿Çϸé, (xc2, yc2) ´Â (xc2, yc2+R1) ÀÌ µÇ¹Ç·Î, ±â¿ï±â s = (yc2+R1)/xc2 ÀÌ°í ¿øÁ¡À» Áö³ª´Â Á÷¼±°ú R1 ÀÇ ±³Á¡ÀÇ x ÁÂÇ¥¸¦ xes ¶ó°í Çϸé,

x^2 + y^2 = R1^2 ¿¡¼­ x^2 + s^2x^2 = R1^2 ÀÌ µÇ¹Ç·Î,

(1+s^2)x^2 = R1^2

x = ¡¾sqr(R^2/(1+s^2)) ÀÌ µÈ´Ù.

ÀÌ ¶§, Á¤Á¡ (0,0) ÀÇ ÁÂÃø¿¡ ÀÖÀ¸¹Ç·Î, À½¼ö¸¦ ¼±ÅÃÇÑ´Ù.




µû¶ó¼­, Ogee type ¿þ¾îÀÇ »ó·ùºÎ °î¼±Àº,

xc ~ xes ±¸°£Àº Áß½ÉÀÌ (xc2, yc2) ÀÌ°í ¹ÝÁö¸§ÀÌ R2 ÀÎ °î¼±ÀÌ µÇ°í,
xes ~ 0 ±¸°£Àº Áß½ÉÀÌ (0, -R1) ÀÌ°í ¹ÝÁö¸§ÀÌ R1 ÀÎ °î¼±ÀÌ µÈ´Ù.
¡Ø ÀÌ »çÀÌÆ®´Â ±¤°í¼öÀÍÀ¸·Î ¿î¿µµË´Ï´Ù.

¡Ø »¡°£»ö ¹ØÁٺκп¡ ÀڷḦ ÀÔ·ÂÇϼ¼¿ä.
¡Ø Input data on
red underlines.

Design of Small Dam, 1987, USBR



¡Ú ·Î±×ÀÎ ÈÄ Áñ°Üã±â¿¡ Ãß°¡ÇÒ ¼ö ÀÖ½À´Ï´Ù.
¡Ú To make new formula or to add this formula in your bookmark, log on please.




ÄÚ¸àÆ®

´ñ±Û ÀÔ·Â