Assignment-1.pdf

MADANAPALLE INSTITUTE OF TECHNOLOGY & SCIENCE, MADANAPALLE (UGC-AUTONOMOUS) 20CE423 – PAVEMENT DESIGN & ANALYSIS Assignment 1 Note: Follow the sequence for the assignment submission S. No...

MADANAPALLE INSTITUTE OF TECHNOLOGY & SCIENCE, MADANAPALLE (UGC-AUTONOMOUS) 20CE423 – PAVEMENT DESIGN & ANALYSIS Assignment 1 Note: Follow the sequence for the assignment submission S. No Roll No Question No 1 21691A0101 to 21691A0116 1,2,8,9 2 21691A0119 to 21691A0134 3,4,6,7 3 21691A0135 to 21691A0147 5,6,7,8 4 22695A0101 to 22695A0114 3,4,8,9 1) A point load of 50 KN is applied on the surface of a semi-infinite, homogeneous and isotropic pavement. Calculate the vertical stress at a depth of 2 m directly beneath the load. 2) A 75 KN load is applied on a pavement surface. Determine the vertical stress at a point located 2 m below the surface and 1.5 m horizontally away from the point of application. 3) Given a UDL of 100 KN/m2 over a circular area of radius 0.75 m on the pavement surface, calculate the vertical stress at a depth of 1 m beneath the center of the loaded area. 4) A point load of 100 KN is applied at the surface of a homogenous pavement. Assuming a E value of 200 MPa and Poisson’s ratio as 0.30, calculate the settlement at a point directly under the load at the surface. 5) Determine the horizontal stress at a depth of 3 m directly beneath a 50 KN point load applied on the surface of the pavement. 6) A pavement consists of a 10 cm thick asphalt layer overlying a subgrade. The E value of asphalt layer is 3000 MPa and the subgrade has an E value of 100 MPa. A wheel load of 50 KN is applied at the surface over a circular radius of 15 cm. Calculate the vertical stress developed. 7) A flexible pavement consists of a 12 cm thick asphalt concrete layer with a E value of 2500 MPa, a 25 cm GSB layer with E value of 200 MPa. If a load of 80 KN is applied over a circular area of radius 12 cm, calculate the horizontal tensile stress at the bottom of the asphalt layer using Burmister’s two-layer theory 8) A pavement system consists of three layers: a 15 cm thick asphalt concrete layer (E1= 3000 MPa) a 25 cm thick GSB layer (E2= 300 MPa) and a subgrade (E3=100 MPa). A wheel load of 70 KN is applied over a circular area with radius of 20 cm. Calculate the vertical stress at the top of the subgrade using Burmister’s three-layer theory. 9) A pavement is composed of a 12 cm thick asphalt layer with E value of 3200 MPa, a 20 cm thick GSB layer with E value 250 MPa, and a subgrade with E value 120 MPa. A wheel load of 65 KN is applied with “a” value of 18 cm. Calculate the deflection at the interface between the asphalt layer and base layer using Burmister’s three-layer theory.