The state of stress at a point in a structural member may be represented by a two-dimensional stress system in which o, = 100 N/mm², 6, = -80 N/mm² and r,y = 45 N/mm?. Determine the direct stress on a plane inclined at 60° to the positive direction of a, and also the principal stresses. Calculate also the inclination of the principal planes to the plane on which o, acts. Verify your answers by a graphical method. Ans. 6, = 16 N/mm², o1 = 110.6 N/mm², on=-90.6 N/mm², 0 = – 13.3° and –103.3°.

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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.