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حساب المساحات Area Computation

حساب المساحات Area Computation. حساب مساحات المقاطع العرضية Cross – Section. - The cross-section is perpendicular on longitudinal - We can find the cross – section by leveling cross – section at following :- * Compute the point behind center line

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حساب المساحات Area Computation

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  1. حساب المساحات Area Computation حساب مساحات المقاطع العرضيةCross – Section - The cross-section is perpendicular on longitudinal - We can find the cross – section by leveling cross – section at following :- * Compute the point behind center line * Draw the cross – section to every station at ( 100 m)

  2. حساب المساحات Area Computation حساب مساحات المقاطع العرضيةCross – Section Type of cross - section Cut -Section A C Side - Hill-Section C C Ground line Ground line 1:s 1:s 1:s Grad line Grad line B Fill-Section 1:s C Grad line 1:s 1:s Ground line

  3. حساب المساحات Area Computation حساب مساحات المقاطع العرضيةCross – Section Side Slope ( 1:S ) ( ) 1 الانحدار الجانبي S C ΔX ΔX B C 6 D 6 31.5 Δ1 Δ2 1 1 ΔY ΔY G 4 29.2 4 26.4 Dis. = 20m Dis. = ? F A Elev. F = ?

  4. At Δ1 At Δ2 = = = = Elev. Of f = elev. Of C - Dis. = 20.4 +6 = 26.4 m = 31.5 -3.5 = 28 m

  5. حساب المساحات Area Computation حساب مساحات المقاطع العرضيةCross – Section area 1- By Arithmetic Means الطريقة الحسابية Fora Level - section A نلاحظ أن الشكل هو شبه منحرف b حساب مساحة مقطع مستو ( منسوب واحد لسطح الأرض) b + ( b + 2 s . d ) × d A = 1 1 2 d s s 2b + 2 s . d ) × d A = 2 Δx b Δx s.d A= d ( b + s.d ) d = ground elev. - grad elev. = = s.d

  6. حساب المساحات Area Computation حساب مساحات المقاطع العرضيةCross – Section area مساحة المثلثين في الأعلى B Fora Three -Level section (b/2 × dL)/2 + (b/2 × dR)/2 حساب مساحة مقطع ذي ثلاث مستويات ( ثلاثة مناسيب لسطح الأرض) b/2 (dL× dR)/2 C b/2 b/2 مساحة المثلثين في الأسفل dR (d × XL)/2 + (d × XR)/2 dL d d (XL× XR)/2 A=[b/2 (dL×dR)/2]+ [d (XL×XR)/2] XR 1 XL A= [b/2 (dL×dR)]+ [d (XL×XR)] 2

  7. حساب المساحات Area Computation حساب مساحات المقاطع العرضيةCross – Section area B Fora Multi-Level section يستخدم قانون الإحداثيات الذي سبق ذكره لحساب مساحة المقطع العرضي المتعدد المستويات C =Y-axis X1 P7(X7,Y7) P1(X1,Y1) P3(X3,Y3) P5(X5,Y5) X5 P4(X4,Y4) Y1 P6(X6,Y6) Y5 P2(X2,Y2) X-axis مستوى سطح البحر

  8. حساب المساحات Area Computation حساب مساحات المقاطع العرضيةCross – Section area Known Ground Surface One -Slop A C 1:n Ground line 1 s h 1 s b/2 b/2 Grad line s= الميل الجانبي b= عرض خط الإنشاء h= الارتفاع n= ميل الأرض

  9. حساب المساحات Area Computation حساب مساحات المقاطع العرضيةCross – Section area Known Ground Surface w2 Tow -Slop B w1 C 1:n1 1:n2 Ground line 1 h2 s h 1 h1 s b/2 b/2 Grad line

  10. EX1 :- Compute the area of the Fora Level - section if you know the following data :- 1- Elevation of grade line = 32 m 2- Elevation of ground line = 30 m 3- Side slop = 1: 3 4- Road width = 10 m d = 30 -32 = -2 b=10 C إذن المقطع هو مقطع ردم وعمق الردم 2m = 32 A = d ( b + S.d ) 1 d 3 A = 2( 10 + 3×2 ) = 32 m² 30

  11. EX2 :- Compute the area of the Fora three Level - section if you know the following data :- 1- Center Depth ( d ) = 4 m 2- Right Depth ( dR ) = 6 m 3- Left Depth ( dL ) = 10 m 4- Road width = 12 m 5- Right Dis. ( XR ) = -18 m 6- Left Dis. ( XL ) = 26 m A = 0.5 [b/2 ( dR + dL ) + d(XR + XL ) ] A = 0.5 [12/2 ( 6 + 10 ) + 4 ( 18 + 26 )] = 136 m²

  12. حساب المساحات Area Computation Home Work C =Y-axis From the data in fig. below Compute the area of the Fora Multi Level - section if you know all dimension in meters . P7 5 5 p1 24 p5 2 p3 6 22 21 19 P4 20 21 17 33 p6 p2 X-axis مستوى سطح البحر

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