A rectangular concrete slab, 3 m X 4.5 m, rests on the surface of a soil mass. The load on the slab is 2025 kN. Determine the vertical stress increase at a depth of 3 m (a) under the center of the slab, point A (see Figure); (b) under point B (see Figure); and (c) at a distance of 1.5 m from a corner, point C (see Figure ). Compare your results with the Approximate Method and comment on the results. 4.5 m 3 m -1.5 m- Plan Soil

A rectangular concrete slab, 3 m X 4.5 m, rests on the surface of a soil mass. The load on the slab is 2025 kN. Determine the vertical stress increase at a depth of 3 m (a) under the center of the slab, point A (see Figure); (b) under point B (see Figure); and (c) at a distance of 1.5 m from a corner, point C (see Figure ). Compare your results with the Approximate Method and comment on the results. 4.5 m 3 m -1.5 m- Plan Soil

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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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.

Question

A rectangular concrete slab, 3 m X 4.5 m, rests on the surface of a soil mass. The load on the
slab is 2025 kN. Determine the vertical stress increase at a depth of 3 m (a) under the center of
the slab, point A (see Figure); (b) under point B (see Figure); and (c) at a distance of 1.5 m from
a corner, point C (see Figure). Compare your results with the Approximate Method and
comment on the results.
4.5 m
B
3
-1.5 m-
Plan

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Step 1: BASIC DATA PROVIDED:

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Step 2: VERTICAL STRESSES ACTING AT CENTRE OF THE SLAB ( POINT "A" )

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Step 3: VERTICAL STRESSES ACTING AT POINT "B" :

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Step 4: VERTICAL STRESS ACTING POINT "C" AT A DISTANCE 1.5 METER FROM THE CORNER OF THE SLAB :

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Step 5: TABULATION OF RESULTS:

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