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1.
Stresses in Pavements
Figure shows a homogeneous half-space subjected to two circular loads, each 250 mm in diameter and spaced at 800 mm inner to inner end. The pressure on the circular area is 370 KPa. The halfspace has elastic modulus 90 MPa and Poisson ratio 0.5. Point K is located at the outer edge of the right loading, 400 mm below from the surface. Determine: a. The Vertical, Radial and Tangential Stress at Point K. b. The Vertical, Radial and Tangential Strains at Point K. c. The deflection at point K. d. The shear Stress at point K. (N.B Use the attached Charts no 1 to 5)
E = 90 Mpa
= 0.5
500 mm
800 mm
K
Figure1: Homogeneous half-space subjected to two circular loads
Page. 1
Chart 1. Vertical stresses due to circular loading (Foster and Ahlvin, 1954)
Chart 2. Radial stresses due to circular loading (Foster and Ahlvin, 1954 )
Page. 2
Chart 3. Tangential stresses due to circular loading (Foster and Ahlvin, 1954)
Chart 4. Vertical deflections due to circular loading (Foster and Ahlvin, 1954)
