GATE CE 2023 CE Q41: Foundation Engineering

Consider that a force P is acting on the surface of a half-space (Bousinesq’s problem). The expression for the vertical stress (

) at a point (r, z), within the half-space is given as,

where r is the radial distance and z is the depth with downward direction taken as positive. At any given r, there is a variation of

along z and at a specific z, the value of

will be maximum. What is the locus of the maximum

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