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The vertical stress o, under the comer of a rectangular area subjected to a uniform load of intensity q is given by the solution of Boussinesq's equation: 9| 2mn/m² +n² +1_m² +n²+2 O = 47 m² +n +1+m²n² m² +n° +1 2mn/m² +n² +1 m² +n² +1+m²n² + sin because this equation is inconvenient to solve manually, it has been reformulated as 0̟ = qf. (m,n) where f.(m,n) is called the influence value and m and n are dimensionless ratios, with m=a/z and n=b/z and a and b are defined in the following figure. 1 The influence value is then tabulated, a portion of which is given in the following table n = 1.4 n = 1.2 0.02926 0.05733 0.08323 n = 1.6 0.03058 0.05994 0.08709 m 0.1 0.2 0.03007 0.05894 0.08561 0.3 0.4 0.10631 0.10941 0.11135 0.5 0.12626 0.13003 0.13241 0.14309 0.15703 0.15027 0.16515 0.17739 0.6 0.14749 0.7 0.16199 0.8 0.16843 0.17389 If a=4.6 and b=14,compute ơ̟ at a depth 10 m below the corner of a rectangular footing that is subject to a total load of 100 t (metric tons). Note that q is equal to the load per area. (CO6)

The vertical stress o, under the comer of a rectangular area subjected to a uniform load of intensity q is given by the solution of Boussinesq's equation: 9| 2mn/m² +n² +1_m² +n²+2 O = 47 m² +n +1+m²n² m² +n° +1 2mn/m² +n² +1 m² +n² +1+m²n² + sin because this equation is inconvenient to solve manually, it has been reformulated as 0̟ = qf. (m,n) where f.(m,n) is called the influence value and m and n are dimensionless ratios, with m=a/z and n=b/z and a and b are defined in the following figure. 1 The influence value is then tabulated, a portion of which is given in the following table n = 1.4 n = 1.2 0.02926 0.05733 0.08323 n = 1.6 0.03058 0.05994 0.08709 m 0.1 0.2 0.03007 0.05894 0.08561 0.3 0.4 0.10631 0.10941 0.11135 0.5 0.12626 0.13003 0.13241 0.14309 0.15703 0.15027 0.16515 0.17739 0.6 0.14749 0.7 0.16199 0.8 0.16843 0.17389 If a=4.6 and b=14,compute ơ̟ at a depth 10 m below the corner of a rectangular footing that is subject to a total load of 100 t (metric tons). Note that q is equal to the load per area. (CO6)

Structural Analysis
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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3. The vertical stress o̟ under the corner of a rectangular area subjected to a uniform load of intensity q is given by the solution of Boussinesq's equation: 2mn /m² +n² +1 m² + n² +2 + sin 47 m² +n² +1+m²n² m² +n² +1 2mn/m² +n² +1 m² +n² +1+m²n² O = because this equation is inconvenient to solve manually, it has been reformulated as 0̟ = qf (m,n) where f.(m,n) is called the influence value and m and n are dimensionless ratios, with m=a/z and n=b/z and a and b are defined in the following figure. 1 The influence value is then tabulated, a portion of which is given in the following table n = 1.2 n = 1.4 0.03007 0.05894 0.08561 n = 1.6 0.1 0.02926 0.03058 0.2 0.05733 0.05994 0.3 0.08323 0.08709 0.4 0.10631 0.10941 0.11135 0.13003 0.14749 0.16199 0.5 0.12626 0.13241 0.15027 0.16515 0.17739 0.6 0.14309 0.7 0.15703 0.8 0.16843 0.17389 If a=4.6 and b=14,compute o̟ at a depth 10 m below the corner of a rectangular footing that is subject to a total load of 100 t (metric tons). Note that q is equal to the load per area. (CO6)
Transcribed Image Text:3. The vertical stress o̟ under the corner of a rectangular area subjected to a uniform load of intensity q is given by the solution of Boussinesq's equation: 2mn /m² +n² +1 m² + n² +2 + sin 47 m² +n² +1+m²n² m² +n² +1 2mn/m² +n² +1 m² +n² +1+m²n² O = because this equation is inconvenient to solve manually, it has been reformulated as 0̟ = qf (m,n) where f.(m,n) is called the influence value and m and n are dimensionless ratios, with m=a/z and n=b/z and a and b are defined in the following figure. 1 The influence value is then tabulated, a portion of which is given in the following table n = 1.2 n = 1.4 0.03007 0.05894 0.08561 n = 1.6 0.1 0.02926 0.03058 0.2 0.05733 0.05994 0.3 0.08323 0.08709 0.4 0.10631 0.10941 0.11135 0.13003 0.14749 0.16199 0.5 0.12626 0.13241 0.15027 0.16515 0.17739 0.6 0.14309 0.7 0.15703 0.8 0.16843 0.17389 If a=4.6 and b=14,compute o̟ at a depth 10 m below the corner of a rectangular footing that is subject to a total load of 100 t (metric tons). Note that q is equal to the load per area. (CO6)
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