A vertical load of 320 kips is applied to a 5ft by 5ft area at the ground surface that is level in the figure on the right. a. Compute the induced vertical stress, A₂, at a point 3 ft below the corner of this square loaded area using B's equation. b. Compute the induced vertical stress, Az, at a point 3 ft below the center of this square loaded area using the chart. c. Compute the average induced vertical stress, Aoz, at a depth of 3 ft below this square loaded area using the 1:2 method. Solution: Preliminary Coloulations:

A vertical load of 320 kips is applied to a 5ft by 5ft area at the ground surface that is level in the figure on the right. a. Compute the induced vertical stress, A₂, at a point 3 ft below the corner of this square loaded area using B's equation. b. Compute the induced vertical stress, Az, at a point 3 ft below the center of this square loaded area using the chart. c. Compute the average induced vertical stress, Aoz, at a depth of 3 ft below this square loaded area using the 1:2 method. Solution: Preliminary Coloulations:

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 vertical load of 320 kips is applied to a 5ft by 5ft area at the ground surface that is level in the figure on the right.
a. Compute the induced vertical stress, Az, at a point 3 ft below the corner of this square loaded area using B's equation.
b. Compute the induced vertical stress, Aoz, at a point 3 ft below the center of this square loaded area using the chart.
c. Compute the average induced vertical stress, Aoz, at a depth of 3 ft below this square loaded area using the 1:2 method.
Solution:
• Preliminary Calculations:
1). Area of the footing: A =
●
2). Bearing pressure at the bottom of the footing: q =
Calculation of induced stress:
a). Below the corner using the B's equation:
1). m =
2). n =
3). Io =
2).
4). Az,corner
psf;
b). Below the center using the chart (or the square footing equation):
Zf
1). //
B
B
||
3). Io =
=
=
4). Az, center
c). Averaged induced streess below the footing:
1). Io:
=
ft²;
2). Az, average
||
psf;
psf;
psf;
Silty Sand:
(SM)
Clayey Silt
(ML) ▼
A
12 ft.
10 ft
11 ft

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