A structural engineer has hired you to design square concrete unembedded footings for a building, based only on capacity. Each footing will hold an axial load of 340 kN. Your technicians have conducted lab tests on specimens sampled from the site, and they report the following profile: a 0.8m thick clay layer over a 7m thick clayey silt layer (the clayey silt layer lies over rock). The lab report reveals that the clay has a friction angle of 34 degrees and an undrained strength of 35 kPa, and that the clayey silt has a friction angle of 37 degrees and an undrained strength of 45 kPa. Determine the size of one of the footings, in meters, such that the critical actor of safety against a capacity failure is as close to 3 as possible, but still larger than 3 and smaller than 3.2. The other (non-critical) factor of safety must be greater than 3. Express your answer with a resolution of 0.1 meters. That is, values of B of 1.2, 2.3, 3.4m, etc., for example, are acceptable, whereas B values of 1.21, 2.32, 3.43m, etc., for example, are not.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A structural engineer has hired you to design square concrete unembedded footings for a building, based only
on capacity. Each footing will hold an axial load of 340 kN. Your technicians have conducted lab tests on
specimens sampled from the site, and they report the following profile: a 0.8m thick clay layer over a 7m thick
clayey silt layer (the clayey silt layer lies over rock). The lab report reveals that the clay has a friction angle of
34 degrees and an undrained strength of 35 kPa, and that the clayey silt has a friction angle of 37 degrees
and an undrained strength of 45 kPa.
Determine the size of one of the footings, in meters, such that the critical actor of safety against a capacity
failure is as close to 3 as possible, but still larger than 3 and smaller than 3.2. The other (non-critical) factor of
safety must be greater than 3. Express your answer with a resolution of 0.1 meters. That is, values of B of
1.2, 2.3, 3.4m, etc., for example, are acceptable, whereas B values of 1.21, 2.32, 3.43m, etc., for example,
are not.
Transcribed Image Text:A structural engineer has hired you to design square concrete unembedded footings for a building, based only on capacity. Each footing will hold an axial load of 340 kN. Your technicians have conducted lab tests on specimens sampled from the site, and they report the following profile: a 0.8m thick clay layer over a 7m thick clayey silt layer (the clayey silt layer lies over rock). The lab report reveals that the clay has a friction angle of 34 degrees and an undrained strength of 35 kPa, and that the clayey silt has a friction angle of 37 degrees and an undrained strength of 45 kPa. Determine the size of one of the footings, in meters, such that the critical actor of safety against a capacity failure is as close to 3 as possible, but still larger than 3 and smaller than 3.2. The other (non-critical) factor of safety must be greater than 3. Express your answer with a resolution of 0.1 meters. That is, values of B of 1.2, 2.3, 3.4m, etc., for example, are acceptable, whereas B values of 1.21, 2.32, 3.43m, etc., for example, are not.
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