Interrelationship between Safe Bearing Capacity and Angle of Internal Friction of Pilani Soil

The present study was conducted to get simplified correlation between safe bearing capacity of
cohesion-less soil and angle of internal friction using the principle of least squares. Safe bearing
capacity of soils is used in foundation design. Shallow foundations in the form of continuous strips are
widely used. Standard equations are available to estimate the safe bearing capacity of soil supporting
strip shallow foundations. It appears from these equations that there is a strong dependence of
bearing capacity on angle of internal friction for cohesion-less soil. This relation has been developed
based on the correlation observed between safe bearing capacity and angle of internal friction of soil
samples collected within 100km from Birla Institute of Technology & Science; Pilani campus.
Correlation has been developed by analyzing 20 different cohesion-less soil samples and verified for
19 other cohesion-less soil samples. Analytical equations in the form of linear as well as quadratic
polynomial have been developed. Correlation coefficient between actual and estimated value of safe
bearing capacity for linear and quadratic polynomial was found to be 0.869319 & 0.942516. It can be
concluded that the technique suggested in present study is of considerable significance. Estimated
value of safe bearing capacity using equations developed in present study are for 2meters wide strip
footing with depth of embedment 2meters. Loading condition is vertical with no eccentricity effect.