A hollow circular post ABC (see figure) supports a load P1 = 1700 lb acting at the top. A second load P2 is uniformly distributed around the cap plate at B. The diameters and thicknesses of the upper and lower parts of the post are dAB =1.25 in., tAB=0.5 in., dBC 2.25 in., and tBC 0.375 in., respectively. 1. Calculate the normal stress AB in the upper part of the post. 2. If it is desired that the lower part of the post have the same compressive stress as the upper part, what should be the magnitude of the load P2? 3. If P1 remains at 1700 lb and P2 is now set at 2260 lb, what new thickness of BC will result in the same compressive stress in both parts?

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Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.