Calculo de pilotes

1. EJERCICIO II.
FIGURA 1.

2. Columna
Q
Columna
Q
Columna
Q
Columna
Q
1
125
9
225
17
200
25
200
2
150
10
175
18
200
26
175
3
200
11
200
19
175
27
175
4
200
12
200
20
200
28
150
5
175
13
200
21
175
29
175
6
150
14
225
22
175
30
200
7
175
15
225
23
175
31
200
8
200
16
225
24
200
32
175
푄푝푖= 푄푇 푁 ± 푀푥 Σ푦̅푖 2푖=푁 푖=1 푦̅푖± 푀푦 Σ푥̅푖 2푖=푁 푖=1 푥̅푖 푄푝푖=퐶푎푟푔푎 푒푠푡푟푢푐푡푢푟푎푙 푎푥푖푎푙 표 푒푥푐é푛푡푟푖푐푎 푝푟표푒 푐푎푑푎 푝푖푙표푡푒 푑푒푙 푔푟푢푝표. 푄푇=퐶푎푟푔푎 푡표푡푎푙 푝푟표푑푢푐푖푑푎 푝표푟 푢푛푎 푐표푚푏푖푛푎푐푖ó푛 푑푒 푎푐푐푖표푛푒푠 푝푒푟푚푎푛푒푛푡푒푠 푦 푣푎푟푖푎푏푙푒푠 푎푙 푛푖푣푒푙 푑푒 푙푎 푐푎푏푒푧푎 푑푒 푙표푠 푝푖푙표푡푒푠 푑푒푙 푔푟푢푝표. 푁=푁ú푚푒푟표 푑푒 푝푖푙표푡푒푠 푞푢푒 푖푛푡푒푔푟푎푛 푒푙 푐표푛푗푢푛푡표 푑푒 푝푖푙표푡푒푠. 푀푥,푀푦=푀표푚푒푛푡표 푝푟표푑푢푐푖푑표 푝표푟 푎 푐푎푟푔푎 푡표푡푎푙 푎 푛푖푣푒푙 푑푒 푙푎 푐푎푏푒푧푎 푑푒 푙표푠 푝푖푙표푡푒푠 푝표푟 푙푎 푒푥푐푒푛푡푟푖푐푐푖푑푎푑 푝푟표푑푢푐푖푑푎 푝표푟 푙푎 푑푖푓푒푟푒푛푐푖푎 푒푛푡푟푒 푒푙 푐푒푛푡푟표푖푑푒 푑푒 푙푒 푙표푠푎 푦 푒푙 푐푒푛푡푟표 푑푒 푐푎푟푔푎푠 푑푒 푙푎 푒푠푡푟푢푐푡푢푟푎 푎푙 푟푒푑푒푑표푟 푑푒푙 푒푗푒 푋 표 푌. 푋푖̅,푌푖̅=퐷푖푓푒푟푒푛푐푖푎 푒푛푡푟푒 푒푙 푐푒푛푡푟표푖푑푒 푑푒 푐푎푑푎 푝푙표푡푒 푐표푛 푒푙 푐푒푛푡푟표푖푑푒 푑푒 푙푎 푙표푠푎.

3. 푄푝푖,푄푇=푇표푛푒푙푎푑푎푠 (푇표푛) 푀푥,푀푦=푇표푛푒푙푎푑푎푠 푝표푟 푚푒푡푟표 (푇표푛 푚) 푋푖̅,푌푖̅=푀푒푡푟표푠 (푚)
Figura
B
H
A
X'
Y'
AX'
AY'
I
17
5
85
8.5
2.5
722.5
212.5
II
7
10
70
8.5
10
595
700
III
17
5
85
8.5
17.5
722.5
1487.5
SUMA
240
SUMA
2040
2400
푋̅ = Σ퐴푋′ Σ퐴 푌̅ = Σ퐴푌′ Σ퐴
Figura 2.
푋̅ =
8.500
푌̅ =
10.000

4. Columna
Q
X
Y
QX
QY
1
125
0.5
0.5
62.5
62.5
2
150
4.5
0.5
675
75
3
200
8.5
0.5
1700
100
4
200
12.5
0.5
2500
100
5
175
16.5
0.5
2887.5
87.5
6
150
0.5
4.5
75
675
7
175
4.5
4.5
787.5
787.5
8
200
8.5
4.5
1700
900
9
225
12.5
4.5
2812.5
1012.5
10
175
16.5
4.5
2887.5
787.5
11
200
5.5
5.5
1100
1100
12
200
9
5.5
1800
1100
13
200
11.5
5.5
2300
1100
14
225
5.5
8.5
1237.5
1912.5
15
225
9
8.5
2025
1912.5
16
225
11.5
8.5
2587.5
1912.5
17
200
5.5
11.5
1100
2300
18
200
9
11.5
1800
2300
19
175
11.5
11.5
2012.5
2012.5
20
200
5.5
14.5
1100
2900
21
175
9
14.5
1575
2537.5
22
175
11.5
14.5
2012.5
2537.5
23
175
0.5
15.5
87.5
2712.5
24
200
4.5
15.5
900
3100
25
200
8.5
15.5
1700
3100
26
175
12.5
15.5
2187.5
2712.5
27
175
16.5
15.5
2887.5
2712.5
28
150
0.5
19.5
75
2925
29
175
4.5
19.5
787.5
3412.5
30
200
8.5
19.5
1700
3900
31
200
12.5
19.5
2500
3900
32
175
16.5
19.5
2887.5
3412.5
Qt
6000
SUMA
52450
60100

5. 푋푐= Σ퐴푋′ Σ퐴 푌푐= Σ퐴푌′ Σ퐴 푋푐−푋̅
0.24
Figura 3
푋푐=
8.74
푌푐=
10.02 푌푐−푌̅
0.02

6. Figura 4
Figura 5

7. 푄푝푖= 푄푇 푁 ± 푀푥 Σ푦̅푖 2푖=푁 푖=1 푦̅푖± 푀푦 Σ푥̅푖 2푖=푁 푖=1 푥̅푖
Pilote
X
Y
X2
Y2
Qpi
1
-7.9
-9.4
62.41
88.36
379.898
2
-3.95
-9.4
15.6025
88.36
370.871
3
0
-9.4
0
88.36
367.862
4
3.95
-9.4
15.6025
88.36
370.871
5
7.9
-9.4
62.41
88.36
379.898
6
-7.9
-5.6
62.41
31.36
276.061
7
-3.95
-5.6
15.6025
31.36
267.034
8
0
-5.6
0
31.36
264.025
9
3.95
-5.6
15.6025
31.36
267.034
10
7.9
-5.6
62.41
31.36
276.061
11
-2.9
-2.6
8.41
6.76
220.833
12
0
-2.6
0
6.76
219.211
13
2.9
-2.6
8.41
6.76
220.833
14
-2.9
0
8.41
0
208.518
Qt
6000
ex
0.24
Mx
1450
Qt
6000
ex
0.02
My
100

8. Pilote
X
Y
X2
Y2
Qpi
15
0
0
0
0
206.897
16
2.9
0
8.41
0
208.518
17
-2.9
2.6
8.41
6.76
220.833
18
0
2.6
0
6.76
219.211
19
2.9
2.6
8.41
6.76
220.833
20
-7.9
5.6
62.41
31.36
276.061
21
-3.95
5.6
15.6025
31.36
267.034
22
0
5.6
0
31.36
264.025
23
3.95
5.6
15.6025
31.36
267.034
24
7.9
5.6
62.41
31.36
276.061
25
-7.9
9.4
62.41
88.36
379.898
26
-3.95
9.4
15.6025
88.36
370.871
27
0
9.4
0
88.36
367.862
28
3.95
9.4
15.6025
88.36
370.871
29
7.9
9.4
62.41
88.36
379.898
SUMA
518.535
795.96