Rowe (1952) demonstrated that the Free Earth method overestimates the maximum bending moment in anchored walls with horizontal tie rods. The sheet piles are relatively flexible and these deflect considerably. Their flexibility causes a redistribution of the lateral earth pressure. The net effect is that the maximum bending moment is considerably reduced below the value obtained for the free earth supports. It is used to take into consideration the flexibility of the pile and its effect on relieving the actual bending moment the wall experiences. The reduced bending moment for design ( ) is given by
=  
where
= maximum bending moment predicted by the Free Earth method,
= reduction factor depending on wall geometry, wall flexibility, and foundation soil characteristics.
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