Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Load and resistance factor design
Load and resistance factors design (LRFD), also known as Limit state design (LSD), refers to the design method used in building engineering. A boundary condition is a condition of a structure where it can no longer meet the relevant design requirements. …
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initial void ratio, e0 = 1.2375

undrained shear strength, Cu = 450 pcf

A circular footing with a radius of r = 4.0 ft will be embedded D = 2 ft in uniform clay. The top of the foundation is at the surface. The water table is at the ground surface. Estimate the bearing capacity qult of the footing, if undrained loading conditions are the most important to consider for the clay deposit. For simplicity, assume that the initial void ratio and undrained shear strength are uniform with depth. Ovp' = 800psf Void Ratio z/r, depth in radii 1.5 1.4 1.3 1.2 1.1 1.0 0.9 0.8 10 0.1 2 3 7 8 9 Cr = 0.07 100 1000 Effective Stress (psf) 0.2 0.3 0.4 7.0 (10.0 Cc = 0.3 8.0 9.0 5.0 6.0 10000 I, stress in percent of surface contact pressure 0.6 0.8 1.0 2 3 4 5 6 8 10 3.0 2.5 2.0 1.25 1.5 20 30 40 50 60 80 100 1.0 (0.75 0.5 2r Note: Numbers on curvest indicate offset distances in radii, x/r. KANE X 0.25 IX q 100 9 0₂ 10 FIGURE 4.10 Chart for calculating the increase in vertical stress beneath a uniformly loaded circular area. (From NAVFAC DM-7.1, 1982, and Foster and Ahlvin, 1954; reproduced from Holtz and Kovacs, 1981.)
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Transcribed Image Text:A circular footing with a radius of r = 4.0 ft will be embedded D = 2 ft in uniform clay. The top of the foundation is at the surface. The water table is at the ground surface. Estimate the bearing capacity qult of the footing, if undrained loading conditions are the most important to consider for the clay deposit. For simplicity, assume that the initial void ratio and undrained shear strength are uniform with depth. Ovp' = 800psf Void Ratio z/r, depth in radii 1.5 1.4 1.3 1.2 1.1 1.0 0.9 0.8 10 0.1 2 3 7 8 9 Cr = 0.07 100 1000 Effective Stress (psf) 0.2 0.3 0.4 7.0 (10.0 Cc = 0.3 8.0 9.0 5.0 6.0 10000 I, stress in percent of surface contact pressure 0.6 0.8 1.0 2 3 4 5 6 8 10 3.0 2.5 2.0 1.25 1.5 20 30 40 50 60 80 100 1.0 (0.75 0.5 2r Note: Numbers on curvest indicate offset distances in radii, x/r. KANE X 0.25 IX q 100 9 0₂ 10 FIGURE 4.10 Chart for calculating the increase in vertical stress beneath a uniformly loaded circular area. (From NAVFAC DM-7.1, 1982, and Foster and Ahlvin, 1954; reproduced from Holtz and Kovacs, 1981.)
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Given,

Footing radius, r = 4 ft 

Footing depth, D = 2 ft 

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