PRINCIPLES OF HIGHWAY ENGINEERING+TRAFF
PRINCIPLES OF HIGHWAY ENGINEERING+TRAFF
7th Edition
ISBN: 9781119688372
Author: Mannering
Publisher: WILEY
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Chapter 2, Problem 39P
To determine

The distance of the car when the driver first sees the child to stop just in time.

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4. Determine the stability of the cantilever shown in the figure below (use Coulomb earth theory for the lateral stress due to the backfill material). 1 m 0.5 m Backfill 7 = 18.5 kN/m³ • = 30° 20 6 = 20° 6 m Y₁ = 24 kN/m³ 1.2 m 1 m 4.5 m Base soil Clay: 7 = 19 kN/m³,0 = 30%, 0,, = 20°, s,, = 94 kPa a. With s₁ = c = 94 kPa (disregard values), determine allowable soil bearing capacity of the base soil if the factor of safety is equal to 3. b. Determine the FS against overturning. C. Determine the FS against sliding if the coefficient of friction between footing concrete base and soil is b. d. Determine the FS for bearing capacity.
Directions: Show your solutions explicitly, i.e., do not just write the final answer. 1. A wall footing is to be constructed on a clay soil 1.4 below the ground. The footing is to support a wall that imposes a load of 130 kN per meter of wall length. Considering general shear failure, determine the following: 130 kN/mm 1.4 m a. Footing width if the factor of safety is 3. b. Ultimate bearing capacity if B = 0.95 m. C. New factor of safety. y = 17.92 kN/m² c = 14.5 kPa $ = 30° 1.5 m and has its hottom 2 m below the ground surface.
2. A square footing shown has a dimension of 1.5 m x 1.5 m and has its bottom 2 m below the ground surface. The groundwater table is located at a depth of 3 m below the ground surface. Assume a general shear failure. Determine the following: 2 m y = 16 kN/m³ c = 14.5 kPa → = 28° 3 m 1,5 m ysat 18.5 kN/m³ a. Ultimate bearing capacity of the soil beneath the footing (in kPa). b. Allowable bearing capacity if it has a factor of safety of 3 (in kPa). C. Allowable load that the footing could carry (in kN). d. Allowable net bearing capacity if factor of safety is 3. Allowable net load if factor of safety is 3.
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