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Examples of Earth Pressure on Retaining Wall, Soil Mechanics | Soil Mechanics Notes- Agricultural Engineering PDF Download

Problem

Determine the active earth pressure distribution on the retaining as shown in Figure 27.3. Also determine the total active force and point of application  of the force.

Solution:

KA1 for layer I = \[{K_A}={{1-\sin\phi}\over{1+\sin\phi}}\] = \[{{1-\sin 28^\circ}\over{1+\sin 28^\circ}}\] = 0.36

KA2 for layer II = \[{K_A}={{1-\sin\phi}\over{1+\sin\phi}}\] = \[{{1-\sin 32^\circ}\over{1+\sin 32^\circ}}\ = 0.31

Active Pressure distribution for layer I

At Z = 0m, PA = 0 kN/m2

At Z = 1.5m, P= 0.36 x 18 x 1.5 = 9.72 kN/m2

At Z = 6 m, PA (due to soil) = 9.72 + 0.36 x (20 – 10) x 4.5 = 9.72 + 16.2 =25.92 kN/m2 (take unit weight of the water is 10 kN/m3).

At Z = 6 m, PA (due to water) = 4.5 x 10 = 45 kN/m2

Active Pressure distribution for layer II.

At Z = 6 m, PA (due to surcharge of the layer I) = 0.31 (1.5 x 18 + 4.5 x 10) = 22.32 kN/m2

At Z = 6 m, PA (due to the water Pressure above this level) = 45 kN/m2

At Z = 11 m, PA (due to soil) = 67.32 + 0.31 x (20 – 10) x 5 = 67.32 + 15.5 =82.82 kN/m2

At Z = 6 m, PA (due to water) = 5 x 10 = 50 kN/m2

Examples of Earth Pressure on Retaining Wall, Soil Mechanics | Soil Mechanics Notes- Agricultural Engineering

Fig. 27.3. Active earth Pressure distribution of problem 1.

The active force of the various levels is calculated as:

PA1 = 0.5 x 9.72 x 1.5 = 7.29 kN/m acts at a height of 10 (=1.5/3+4.5+5) m from the base

PA2 = 9.72 x 4.5 = 43.74 kN/m acts at a height of 7.25 (=4.5/2+5) m from the base

PA3 = 0.5 x (16.2 + 45) x 4.5 = 137.7 kN/m acts at a height of 6.5 (=4.5/3+5) m from the base

PA4 = 67.32 x 5 = 336.6 kN/m acts at a height of 2.5 (=5/2) m from the base

PA5 = 0.5 x (15.5 + 50) x 5 = 163.75 kN/m acts at a height of 1.67 (=5/3) m from the base

PA = PA1+ PA2 + PA3+ PA4+ PA5 = 7.29 + 43.74 + 137.7 + 336.6 + 163.75 = 689.08 kN/m

Point of aPPlication of the resultant force PA is

Examples of Earth Pressure on Retaining Wall, Soil Mechanics | Soil Mechanics Notes- Agricultural Engineering

The document Examples of Earth Pressure on Retaining Wall, Soil Mechanics | Soil Mechanics Notes- Agricultural Engineering is a part of the Agricultural Engineering Course Soil Mechanics Notes- Agricultural Engineering.
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