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PE-09d-Newmark

# PE-09d-Newmark - *Newmark01 Stress beneath a tank at...

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228 *Newmark–01: Stress beneath a tank at different depths. (Revision: Sept.-08) A construction site has a surface layer of Aeolic sand 2 m thick, underlain by a 10 m thick clay stratum. The project involves placing a wastewater treatment tank, 10 m x 10 m in plan, with a contact pressure p o = 400 kN/m². Find the stress down the centerline of the tank at the top and the bottom of the clay stratum using Newmark’s influence chart shown below. The increase in the vertical stress is found from ° p = p o M (IV) where M is the number of “squares” enclosed in the Newmark chart and (IV) is the influence value. For ° p 1 , AB = 2 m ° ° p 1 = p o M(IV) = (400 kN/m²) (190) (0.005) ° ° p 1 = 380 kN/m² For ° p 2 , AB = 12 m ° ° p 2 = p o M(IV) = (400 kN/m²) (42) (0.005) ° ° p 2 = 84 kN/m² (which represents a 78% reduction in the vertical stress). ° Influence Value (IV) = 1/200 = 0.005 A B B = 10 m for point #1 B = 10 m for point # 2 S S A A N N D D C C L L A A Y Y 2 2 m m 1 1 0 0 m m 1 2 B B = = 1 1 0 0 m m

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229 *Newmark-02: The stress below the center of the edge of a footing. (Revision: Aug-08) Find the stress at the point A shown below, at a depth of 3 m below the edge of the footing. The plan of the square footing has been plotted on top of the Newmark graph to a scale of AB = 3m and placed in such a way that point A falls directly over the center of the chart.
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