12.13 through 12.15 A retaining wall is shown in Figure 12.44. For each problem, determine the Rankine active force, Pa, per unit length of the wall and the location of the resultant. Surcharge = q ↓ H H₁ Frictionless wall Sand 71 Problem H 12.13 10 ft 12.14 20 ft 12.15 6 m cí Sand 72 (saturated unit weight) c₂=0 Groundwater table H₁ 5 ft 6 ft 3 m Y₁ 105 lb/ft³ 110 lb/ft³ 15.5 kN/m³ Y2 122 lb/ft³ 126 lb/ft³ Figure 12.44 19.0 kN/m³ (deg) (deg) 30 30 34 34 30 36 q 0 300 lb/ft³ 15 kN/m³

Structural Analysis
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Please only solve 12.15 PLEASE EXPLAIN TO ME HOW TO FIND THE LOCATION OF THE RESULTANT, I don't know how to take the moment about the buttom for each area, please explain, thank you

12.13 through 12.15 A retaining wall is shown in Figure 12.44. For each problem,
determine the Rankine active force, Pa, per unit length of the wall and the
location of the resultant.
H
H₁
Surcharge = q
Frictionless wall
Problem H
12.13
10 ft
12.14
20 ft
12.15
6 m
Sand
71
Sand
Y₂ (saturated unit weight)
$2
c₂=0
↓ ↓ ↓
H₁
5 ft
6 ft
3 m
Groundwater table
Y1
105 lb/ft³
110 lb/ft³
15.5 kN/m³
Figure 12.44
Y2
122 lb/ft³
126 lb/ft³
19.0 kN/m³
$₁ $2
(deg) (deg)
30 30
34
34
30
36
q
0
300 lb/ft³
15 kN/m³
Transcribed Image Text:12.13 through 12.15 A retaining wall is shown in Figure 12.44. For each problem, determine the Rankine active force, Pa, per unit length of the wall and the location of the resultant. H H₁ Surcharge = q Frictionless wall Problem H 12.13 10 ft 12.14 20 ft 12.15 6 m Sand 71 Sand Y₂ (saturated unit weight) $2 c₂=0 ↓ ↓ ↓ H₁ 5 ft 6 ft 3 m Groundwater table Y1 105 lb/ft³ 110 lb/ft³ 15.5 kN/m³ Figure 12.44 Y2 122 lb/ft³ 126 lb/ft³ 19.0 kN/m³ $₁ $2 (deg) (deg) 30 30 34 34 30 36 q 0 300 lb/ft³ 15 kN/m³
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