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d) The final total and effective vertical, horizontal and mean stresses (i.e., the sum of overburden stresses, as well as the stresses imposed by the concrete pole) directly beneath the pole, as well as at a point 1 m radially away from the pole.

d) The final total and effective vertical, horizontal and mean stresses (i.e., the sum of overburden stresses, as well as the stresses imposed by the concrete pole) directly beneath the pole, as well as at a point 1 m radially away from the pole.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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3) A concrete electricity transmission pole is bearing at the ground surface, and exerts a load of 200 kN at the tip. The pole base diameter is given as 1.5 m. The groundwater at this site is located at a depth of 3 m below the ground surface. The soils are uniform to a depth of 30 m, with a dry unit weight of 15 kN/m, and a moisture content (w) of 10 percent above the water table and 20 percent below. The relationship between dry and moist (or total) unit weight is given as follows: Ytotat " Yary (1+ w) Divide the upper 30 m into ten equal layers, and calculate the following assuming the pole load can be modeled as a point load: a) The total and effective vertical overburden stresses. b) Horizontal effective overburden stress is defined as follows: Assume that K - 0.5, and calculate the horizontal effective overburden stresses and horizontal total overburden stresses. c) Mean stress is defined as follows: p= (0, + o, + a,) Where a, and a, are the two components of horizontal stress, and a, is the vertical stress. Assume isotropic conditions, and calculate both the effective and total mean overburden stresses. d) The final total and effective vertical, horizontal and mean stresses (i.e., the sum of overburden stresses, as well as the stresses imposed by the concrete pole) directly beneath the pole, as well as at a point 1 m radially away from the pole. e) Now assume that the pole load is a uniformly distributed circular load, and calculate the vertical stress increase below the pole tip. Compare the results to the values obtained under the point load assumption.
Transcribed Image Text:3) A concrete electricity transmission pole is bearing at the ground surface, and exerts a load of 200 kN at the tip. The pole base diameter is given as 1.5 m. The groundwater at this site is located at a depth of 3 m below the ground surface. The soils are uniform to a depth of 30 m, with a dry unit weight of 15 kN/m, and a moisture content (w) of 10 percent above the water table and 20 percent below. The relationship between dry and moist (or total) unit weight is given as follows: Ytotat " Yary (1+ w) Divide the upper 30 m into ten equal layers, and calculate the following assuming the pole load can be modeled as a point load: a) The total and effective vertical overburden stresses. b) Horizontal effective overburden stress is defined as follows: Assume that K - 0.5, and calculate the horizontal effective overburden stresses and horizontal total overburden stresses. c) Mean stress is defined as follows: p= (0, + o, + a,) Where a, and a, are the two components of horizontal stress, and a, is the vertical stress. Assume isotropic conditions, and calculate both the effective and total mean overburden stresses. d) The final total and effective vertical, horizontal and mean stresses (i.e., the sum of overburden stresses, as well as the stresses imposed by the concrete pole) directly beneath the pole, as well as at a point 1 m radially away from the pole. e) Now assume that the pole load is a uniformly distributed circular load, and calculate the vertical stress increase below the pole tip. Compare the results to the values obtained under the point load assumption.
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