This modulus is widely used in structural design of mats and slabs. The subgrade modulus also known as the modulus of subgrade reaction is a stiffness parameter typically used in defining the support conditions of footings and mat foundations such as that shown on figure 1 the parameter is expressed in units of force length 3 physically however it is defined as the contact bearing pressure of the foundation against the soil that will produce a unit. We know for a uniformly loaded mat subgrade reaction increases from the center towards the edge and as a result the foundation displacement profile takes the shape of a bowl.
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