{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

app14_settlem

# app14_settlem - Application Example 14(FOSM analysis for...

This preview shows pages 1–2. Sign up to view the full content.

Application Example 14 (FOSM analysis for functions of many variables) PROBABILISTIC ANALYSIS OF FOUNDATION SETTLEMENT Mechanical Model Consider a footing resting on a compressible soil stratum of depth z 0 . Below z 0 , the soil may be considered incompressible (e.g. there is bedrock or the stresses induced by the foundation are small enough that soil deformation may be neglected). An important problem is to evaluate the amount of settlement. The total settlement D may be found by adding the vertical strain of the soil elements along the vertical line through the center of the footing. This gives z o D = ∆σ (z) dz (1) M( z) 0 where ∆σ (z) is the increment in the vertical stress at depth z due to the foundation load and M(z) is the elastic modulus of the soil at that depth (a deformability parameter of the soil). For simplicity, we divide the compressible soil stratum into n layers of equal thickness (z 0 /n) and replace the integral in Eq. 1 with the discrete summation n D = z o ∆σ i (2) n i = 1 M i where ∆σ i = ∆σ (z i ), M i = M(z i ), and z i = (i - 0.5) z 0 /n is the average depth of layer i. If the footing is circular of radius R and the load per unit area transmitted by the footing is 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern