Engineering Surveying 3rd Stage · Engineering Surveying 3rd Stage Area of Cross ــ Section . C.L...
Transcript of Engineering Surveying 3rd Stage · Engineering Surveying 3rd Stage Area of Cross ــ Section . C.L...
![Page 1: Engineering Surveying 3rd Stage · Engineering Surveying 3rd Stage Area of Cross ــ Section . C.L Ground Line Grade Line 1 S 1 S . ةيضرعلا عطاقملا ... • Elevation](https://reader035.fdocuments.us/reader035/viewer/2022070220/6130a1051ecc5158694437fb/html5/thumbnails/1.jpg)
Luma Khalid
E-mail : [email protected] .edu.iq
Engineering Surveying 3rd Stage
Area of Cross ــ Section
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C.L
Ground Line
Grade Line
1
S
1
S
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اشكال المقاطع العرضية
• Cut Section
• Fill Section
• Side ـــ Hill Section
C.L
C.L
C.L
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Computation of Elevation & Distance
• Compute missing Elevation & Distance of cross section
C.L
1
4
1
4
b/2=6 b/2
20 m ???
31.5
29.2
26.4 ???
ΔX2 ΔX1
ΔY1 ΔY2
A
B C D
F
G
![Page 5: Engineering Surveying 3rd Stage · Engineering Surveying 3rd Stage Area of Cross ــ Section . C.L Ground Line Grade Line 1 S 1 S . ةيضرعلا عطاقملا ... • Elevation](https://reader035.fdocuments.us/reader035/viewer/2022070220/6130a1051ecc5158694437fb/html5/thumbnails/5.jpg)
Computation of Elevation & Distance
• ΔX2= 20-6 = 14 m
•1
4 = ΔY
ΔX
•1
4 = ΔY2
14
• ΔY2= 3.5 m
• Elevation point F= 31.5 – 3.5 = 28.00 m
• ΔY1= 31.5- Elevation point A =31.5-26.4=5.10 m
•1
4 =
ΔY1
ΔX1 =
5.10
ΔX1
• ΔX1= 20.4m
• Distance from A to G= ΔX1+b/2=20.4+6=26.4 m
![Page 6: Engineering Surveying 3rd Stage · Engineering Surveying 3rd Stage Area of Cross ــ Section . C.L Ground Line Grade Line 1 S 1 S . ةيضرعلا عطاقملا ... • Elevation](https://reader035.fdocuments.us/reader035/viewer/2022070220/6130a1051ecc5158694437fb/html5/thumbnails/6.jpg)
Draw of cross- section 𝑓?
12 ,
𝑓3
3.5 ,
𝑓0.8
0.00 ,
0.00
2.0 ,
𝑐2
4.0 ,
𝑐4
?
C..L
0.8
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Draw of cross- section
•𝑓?
12 ,
𝑓3
3.5 ,
𝑓0.8
0.00 ,
0.00
2.0 ,
𝑐2
4.0 ,
𝑐4
?
C..L
0.8
2.0
![Page 8: Engineering Surveying 3rd Stage · Engineering Surveying 3rd Stage Area of Cross ــ Section . C.L Ground Line Grade Line 1 S 1 S . ةيضرعلا عطاقملا ... • Elevation](https://reader035.fdocuments.us/reader035/viewer/2022070220/6130a1051ecc5158694437fb/html5/thumbnails/8.jpg)
Draw of cross- section 𝑓?
12 ,
𝑓3
3.5 ,
𝑓0.8
0.00 ,
0.00
2.0 ,
𝑐2
4.0 ,
𝑐4
?
C..L
0.8
2.0
4.0
2
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•𝑓?
12 ,
𝑓3
3.5 ,
𝑓0.8
0.00 ,
0.00
2.0 ,
𝑐2
4.0 ,
𝑐4
?
Draw of cross- section
C..L
0.8
2.0
4.0
2
b/2=3
???
4
![Page 10: Engineering Surveying 3rd Stage · Engineering Surveying 3rd Stage Area of Cross ــ Section . C.L Ground Line Grade Line 1 S 1 S . ةيضرعلا عطاقملا ... • Elevation](https://reader035.fdocuments.us/reader035/viewer/2022070220/6130a1051ecc5158694437fb/html5/thumbnails/10.jpg)
C..L
0.8
2.0
4.0
2
b/2=3
???
4
Draw of cross- section 𝑓?
12 ,
𝑓3
3.5 ,
𝑓0.8
0.00 ,
0.00
2.0 ,
𝑐2
4.0 ,
𝑐4
?
![Page 11: Engineering Surveying 3rd Stage · Engineering Surveying 3rd Stage Area of Cross ــ Section . C.L Ground Line Grade Line 1 S 1 S . ةيضرعلا عطاقملا ... • Elevation](https://reader035.fdocuments.us/reader035/viewer/2022070220/6130a1051ecc5158694437fb/html5/thumbnails/11.jpg)
Draw of cross- section
•𝑓?
12 ,
𝑓3
3.5 ,
𝑓0.8
0.00 ,
0.00
2.0 ,
𝑐2
4.0 ,
𝑐4
?
3
3.5
C..L
0.8
2.0
4.0
2
b/2=3
???
4
???
12
![Page 12: Engineering Surveying 3rd Stage · Engineering Surveying 3rd Stage Area of Cross ــ Section . C.L Ground Line Grade Line 1 S 1 S . ةيضرعلا عطاقملا ... • Elevation](https://reader035.fdocuments.us/reader035/viewer/2022070220/6130a1051ecc5158694437fb/html5/thumbnails/12.jpg)
Draw of cross- section
•𝑓?
12 ,
𝑓3
3.5 ,
𝑓0.8
0.00 ,
0.00
2.0 ,
𝑐2
4.0 ,
𝑐4
?
C..L
0.8
2.0
4.0
2
b/2=3
???
4
???
12
3
3.5
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Draw of cross- section C..L
0.8
2.0
4.0
2
???
4
???
12
3.5
3
![Page 14: Engineering Surveying 3rd Stage · Engineering Surveying 3rd Stage Area of Cross ــ Section . C.L Ground Line Grade Line 1 S 1 S . ةيضرعلا عطاقملا ... • Elevation](https://reader035.fdocuments.us/reader035/viewer/2022070220/6130a1051ecc5158694437fb/html5/thumbnails/14.jpg)
Arithmetic Means
Shape of ground
Fora level section
fora three level section
fora Multi level section
One slope Two slope One slope Side ـــ Hill
C.L
C.L C.L
C.L
C.L
C.L
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Fora level section
•1
𝑠 = ΔY
ΔX
•1
𝑠 = d
ΔX
• ΔX=s*d
• A= d(b+s.d)
C.L
S 1 d 1
S
b
ΔX =S.d S.d b
ΔY = d
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fora three level section
• A= ½[b/2(dR+dL)+d(xR+xL)]
d
C.L
dR dL
xR xL
b/2 b/2
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fora Multi level section
• Compute Area by coordinate
D
C
B
A
E
F
G
C.L
X - axis
Y - axis Y - axis
(0,0) (0,0)
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One slope
• A= (h+𝑏
2𝑠)2(
𝑛2. 𝑠
𝑛2−𝑠2) - 𝑏2
4𝑠
h
n
1 1:n
b/2 b/2 C.L
1
S
1
S h
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Two slope
• A=𝑊
2ℎ +
𝑏
2𝑠−
𝑏2
4𝑠
• W=w1+w2
• W1=𝑛1.𝑠
𝑛1+𝑠(ℎ +
𝑏
2𝑠)
• W2=𝑛2.𝑠
𝑛2−𝑠(ℎ +
𝑏
2𝑠)
1:n1
n2 1
1:n2
b/2 b/2 C.L
1
S
1
S h
1 1:n1
h1
h2
w1 w2
+
-
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Two slope
• h1=𝑛1ℎ−
𝑏
2
𝑛1+𝑠
• h2=𝑛2ℎ+
𝑏
2
𝑛2−𝑠
• A=1
2ℎ +
𝑏
2𝑠
2(
𝑛1𝑠
𝑛1+𝑠+
𝑛2𝑠
𝑛2−𝑠) −
𝑏2
4𝑠
![Page 21: Engineering Surveying 3rd Stage · Engineering Surveying 3rd Stage Area of Cross ــ Section . C.L Ground Line Grade Line 1 S 1 S . ةيضرعلا عطاقملا ... • Elevation](https://reader035.fdocuments.us/reader035/viewer/2022070220/6130a1051ecc5158694437fb/html5/thumbnails/21.jpg)
One slope Side ـــ Hill
• Ac=ℎ𝑐
2(
𝑏
2− 𝑑)
• Af=ℎ𝑓
2
𝑏
2+ 𝑑
• hc=𝑏
2−𝑛.ℎ
𝑛−𝑠𝑐
• hf=𝑏
2+𝑛.ℎ
𝑛−𝑠𝑓
h,wالاشارة موجبة والجزء الثاني سالب في حساب ال hاين يقع ال •
1:n b/2
b/2 C.L 1
Sc
1
Sf
h
hc
hf wc
wf
d