Question

Q2: A homogeneous half-space pavement subjected to a circular load with 10-inch diameter. The pressure on the circular area is 50 psi. The pavement has elastic modulus 10,000 psi and Poisson ratio 0.3. Determine the vertical stress, deflection at point A which is located 10 inches below the center of the circular load, and surface deflection.

Answer 1

Vertical stress located to inch below the centre of circular load is Given data: dia of circulars pavement d = 10 inch load pressure on the pavement p = 5opsi Elastic modules E = 10,ooopsi poission ratio u=0.3 6 0.6 given by the expression S. 3P Id=1 in [ where p-load - Thickness of pavement 5 inch d-Radions of relatine Stiffness loinen If5inch a-radious p = px Area Now = 50 x II (1032 pound = 1 5 inch 4 3926.gg 2 Y4 a =d/ Radious of relative stiffness (Eha 12 KC1-243) for the value of K E= 3k(1-24) - 3K (1-2x0.3) 10,000 K=8333.33 psi

YA Relative stiffness (10,000 (513 12 X 5333 33.(1-0:3 1250000 Y4 90999.96 l- re = 1.925in Now from equation 3 x 3926.gg (5) 2 verfical stress s 552 1.925 LG S = 34 39 26.99x1.1826 25 S. 557.287 psi the formula given by deflection at point A is 8= 1.18 pa Es where p- pressure a-radious 8= 1.188 5085 10,000 &= 0.0295 inch