tire load with an air pressure of 132.6 psi and weighing 15,000 lbs is in contact with a flexible pavement that has the following properties: Modulus of elasticity: 45,000 psi Poisson ratio: 0.58 a. Calculate the stress at a depth of 4 in. and radial distance of 6 in. using Boussinesq equation. b. Calculate the vertical stress, radial stress, and deflection on the pavement surface under the center of the load. c. Calculate the vertical stress, radial stress, and deflection at a depth of 4.8 in and radial distance of 7.2 in.

tire load with an air pressure of 132.6 psi and weighing 15,000 lbs is in contact with a flexible pavement that has the following properties: Modulus of elasticity: 45,000 psi Poisson ratio: 0.58 a. Calculate the stress at a depth of 4 in. and radial distance of 6 in. using Boussinesq equation. b. Calculate the vertical stress, radial stress, and deflection on the pavement surface under the center of the load. c. Calculate the vertical stress, radial stress, and deflection at a depth of 4.8 in and radial distance of 7.2 in.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter20: Design Of Rigid Pavements

Section: Chapter Questions

Problem 12P

See similar textbooks

Similar questions

A tyre with 230 kPa air pressure distributes a load over an area with circular contact radius of 200 mm. The pavement was constructed with a material that has a modulus of elasticity of 450 MPa and a Poisson's ratio of 0.40. 1.1 Calculate the radial-horizontal stress and deflection at a point on the pavement surface under the center of the tyre load. [Function values table: A = 1 B = 0 C = 0 E = 0.5 H = 2 ] Wrong answer will be instantly downvoted, don't attempt if not sure .
A tyre with 230 kPa air pressure distributes a load over an area with circular contact radius of 200 mm. The pavement was constructed with a material that has a modulus of elasticity of 450 MPa and a Poisson's ratio of 0.40 Calculate the radial-horizontal stress and deflection at a point on the pavement surface under the center of the tyre load. [Function values table: A=1.0; B=0; C=0; F=0.5; H=2.0]
Q2: tire with 700 kPa air pressure distributes a load over an area with a circular contact radius, a, of 130mm. The pavement was constructed with a material that has a modules of elasticity of 345000 kPa and a Poisson ratio of 0.45 and thickness of 30cm. Calculate the radial-horizontal stress and deflection at a point the pavement surface under the center of the tire load. Also, calculate the radial-horizontal stress and deflection at a point at a depth of half pavement layer way from the centre of the tire load. (USE: Ahlvin and Ulery equations).
A cement concrete pavement has a thickness of 24 cm and has two lanes of total width 7.2 m, with a longitudinal joint. Design the dimension and spacing of the bars, using the following data: (i) Allowable working stress in steel in tension = 1400 kg/cm² (ii) Unit weight of concrete = 2400 kg/m³ (iii) Coefficient of friction = 1.5 (iv) Allowable bond stress in concrete = 24.6 kg/cm²
Figure (1) shows a pavement structure composed of three layers with their details. If the HMA and the base layers are combined into one layer with the same total thickness (HMA+base layers), what should be the equivalent elastic of the combined layer modulus so the tensile strain at the bottom of the HMA= 0.0006 in. 30000 Ib 150 psi HMA laver E, = 400,000 psi V,=0.4 6 in E, - 20,000 psi Granular base V,=0.4 20 in layer Subgrade layer E, = 10,000 psi V;=0.4 Attach your answers with used charts or tables
8. A rigid pavement concrete slab is shown in the given figure. Determine the stress and also max. deflection due to corner loading h 10 in. k = 100 pci h 10 in, a = 6 in. 9. Repeat problem (8) for interior loading case as shown in the given figure: S k= 100 pci h = 10 in. k = 100 pci a = 6 in. a 6in. 10,000 lb %i 4₁ 10,000 lb 10. Repeat problem (3) for edge loading cases (Circular or semi circular) as shown in the given figure: 110,000 lb %c = ? D. ? e = ? = ? 11. A section of a highway with length of 10 Km was evaluated using the Pavement Condition Rating Methods. The existing distresses along with this section are presented in the given photos. The severity and extent levels of each distress are given with the photo of the specified distress. The PCR form rating is also given.
A cement concrete pavement has a thickness of 20 cm and has 2 lanes of 7,2 m with a longitudinal joint along the centre. Assuming allowable working stress of steel in tension = 1400 kg/cm², Unit weight of concrete = 2400 kg/m³, Co-efficient of friction of = 1,5. Allowable bond stress in deformed bars 24.6 kg/cm², Find the length and spacing of tie bar if diameter of bar is 1 cm. =
On the basis of stress-strain curve for compressive strength of concrete, define the following Initial Modulus Tangent modulus Secant modulus Apparent modulus
2. A uniform concrete slab is to be attached to two rods whose lowers ends are initially at the same level. What is the required area, in mm?, of aluminum rod so that slab will remain level after it is attached to the rods? Wi4 m Aluminum E = 72 GPa Steel A= 8V mm 2 E = 200 GPa WI4 m -Y/40 m- Y/200 m
1. Figure (1) shows a pavement structure composed of three layers with their details. If the HMA and the base layers are combined into one layer with the same total thickness (HMA+base layers), what should be the equivalent elastic of the combined layer modulus so the tensile strain at the bottom of the the HMA= 0.0006 in. 30000 Ib 150 psi E, = ? 6 in HMA layer Ej = 400,000 psi V;=0.4 Granular base E = 20,000 psi V=0.4 20 in layer Subgrade layer E3 = 10,000 psi Vz=0.4 %3D
The following data are recorded from a Bending Beam Rheometer test on asphalt binder:• Test temperature = - 1 8.0°C• Beam width = 12.70 mm• Beam Thickness = 6.35 mm• Distance between beam support = 102 mm. Assuming the load and length of the beam are constants throughout the test:a) Plot the relationship between deflection and time.b) Plot the relationship between stiffness S(t) and time (t) on a logarithmic scale.c) Fit a second degree polynomial regression equation to the Log(S(t)) Vs. Log(t)relationship established in part (b) above.d) Use the regression equation to find the rate at which the creep stiffness changes withloading (m(t)) at the time increments shown in the above table.e) Demonstrate whether this asphalt meets the Superpave requirements for low temperaturecracking or not. Please show all work and explanation
Calculate the stresses at interior, edge and corner regions of a cement concrete pavement using Wastergaard's stress equations using the following data: Wheel load, P = 4100 kg Modulus of elasticity of cement concrete, E = 3.3 × 105 kg/cm² Pavement thickness, h = 18 cm Poisson's ratio of concrete, μ = 0.15 Modulus of subgrade reaction, K = 25 kg/cm³ Radius of contact area, a = 12 cm