2.11 The stress function = Ax + Bxy + Cy provides the direct and shear stresses in a thin rectangularplate. One corner, which lies at the origin, is position- and direction-fixed. Show that the displacementsfor the diagonally opposite corner (a, b) are: u = 2a(C - v A)/E, v = 2b(A v C)/E.

The given stress function is,ϕ=Ax2+Bxy+Cy2A,b are,u=2aC-vAEv=2BA-vCE

2.11 The stress function = Ax + Bxy + Cy provides the direct and shear stresses in a thin rectangular plate. One cormer, which lies at the origin, is position- and direction-fixed. Show that the displacements for the diagonally opposite corner (a, b) are: u = 2a(C - v A)/E, v = 2b(A - v C)/E.

2.11 The stress function = Ax + Bxy + Cy provides the direct and shear stresses in a thin rectangular plate. One cormer, which lies at the origin, is position- and direction-fixed. Show that the displacements for the diagonally opposite corner (a, b) are: u = 2a(C - v A)/E, v = 2b(A - v C)/E.

Principles of Foundation Engineering (MindTap Course List)

8th Edition

ISBN:9781305081550

Author:Braja M. Das

Publisher:Braja M. Das

Chapter6: Vertical Stress Increase In Soil

Section: Chapter Questions

Problem 6.4P: Refer to Figure P6.4. A strip load of q = 900 lb/ft2 is applied over a width B = 36 ft. Determine...

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Concept explainers

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.

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2.11 The stress function = Ax + Bxy + Cy provides the direct and shear stresses in a thin rectangular
plate. One corner, which lies at the origin, is position- and direction-fixed. Show that the displacements
for the diagonally opposite corner (a, b) are: u = 2a(C - v A)/E, v = 2b(A v C)/E.

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