Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 20, Problem 10P
To determine
The tensile stress imposed at day by wheel load of concrete pavement.
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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]
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.
=
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 ]
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Chapter 20 Solutions
Traffic and Highway Engineering
Ch. 20 - Portland cement concrete consists of what four...Ch. 20 - List and briefly describe the five main types of...Ch. 20 - What is the main requirement for the water used in...Ch. 20 - Prob. 4PCh. 20 - Prob. 5PCh. 20 - Prob. 6PCh. 20 - Prob. 7PCh. 20 - Prob. 8PCh. 20 - Prob. 9PCh. 20 - Prob. 10P
Ch. 20 - Prob. 11PCh. 20 - Prob. 12PCh. 20 - Repeat Problem 20-12, with the slab containing...Ch. 20 - Prob. 14PCh. 20 - Prob. 15PCh. 20 - Prob. 16PCh. 20 - Prob. 17PCh. 20 - Prob. 18PCh. 20 - An existing rural 4-lane highway is to be replaced...Ch. 20 - Prob. 20PCh. 20 - Prob. 21PCh. 20 - Prob. 22PCh. 20 - Prob. 23PCh. 20 - Prob. 24PCh. 20 - Prob. 25PCh. 20 - Prob. 26PCh. 20 - Prob. 27P
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- What is the area of steel required per meter length of Longitudinal joint in a rigid pavement of thickness 24 cm with two lanes of total width of 7 m? Allowable working stress in steel in tension 1400 kg/cm² Unit weight of concrete = 2400 kg/m³ Coefficient of friction 1,5 =arrow_forwardFigure (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 tablesarrow_forwardA concrete pavement is subject to a temperature change of AT = 70°F; a coefficient of thermal expansion a = 5.5 ×10 in./in./°F; a concrete shrinkage ɛ = 200 x106; and a granular base with C = 0.8. Determine the joint spacing for an undoweled and a doweled joint having an allowable joint opening of 0.06 and 0.02 in., respectively.arrow_forward
- A concrete pavement is constructed at a temperature of 10°C. The peak summer temperature is 30°C. The coefficient of temperature is 10 x 10^- 6/°C. The gap at the expansion joint is 2.5 cm. The spacing of expansion joint is what.arrow_forward8. 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.arrow_forward1. 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 %3Darrow_forward
- 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).arrow_forwardA 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 psiPoisson 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.arrow_forward16 A rigid pavement has a wheel load capacity of 59.52 kN. The allowable tensile stress of concrete is 1.55 MPa. Determine the thickness (cm) of the pavement if dowels are negligible. Express your answer in 1 decimal place.arrow_forward
- 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 marrow_forwardOn the basis of stress-strain curve for compressive strength of concrete, define the following Initial Modulus Tangent modulus Secant modulus Apparent modulusarrow_forwardCalculate the design thickness in mm (rounded to the nearest tens) at the edges of a rigid pavement with dowels if the: Allowable tensile strength of concrete = 3.1 MPa Wheel load = 120 kN 240 250 C 280 300arrow_forward
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