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Analysis According to the Schmertmann Theory

Settlement of spread footing according to Schmertmann theory is based on the formula:

Where:

s

-

settlement of spread footing

C1

-

correction factor for footing depth

C2

-

correction factor for creep settlement

σol

-

stress in the footing bottom

Izi

-

strain influence factor at the center of the ith sublayer

hi

-

thickness of the ith sublayer

Edef,i

-

deformation modulus in the ith sublayer

Correction factor for footing depth C1 is determined as follows:

Where:

σor

-

geostatic stress in the footing bottom

Correction factor for creep settlement C2 is determined as follows:

Where:

tyr

-

time in years after the application of load

Diagram of the strain influence factor Iz depends on the ratio of footing length L and footing width B. The Iz is read on the horizontal axis of the graph, which is automatically generated for the task. The depth below the footing bottom is plotted on the vertical axis.

Determination of Iz factor (Schmertmann, 1978)

The value of Iz at the footing bottom (depth h0) is calculated as follows:

The maximum value of factor Iz(m) is determined as follows:

Where:

σzp

-

geostatic stress in the depth h1

The depth h1, where the factor Iz reaches its maximum value, is determined by the formula:

The maximum depth hmax, up to which settlement is considered, is calculated as:

Literature:

Schmertmann, J.H. (1970). Static cone to compute static settlement over sand. ASCE Journal of SoilMechanics & Foundations Division, 96 (3), 1011-1043

Braja M. Das (2011). Principles of Foundation Engineering (Seventh Edition)

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