Principles of Geotechnical Engineering (MindTap Course List)
Principles of Geotechnical Engineering (MindTap Course List)
9th Edition
ISBN: 9781305970939
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
Question
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Chapter 15, Problem 15.31P

(a)

To determine

Find the location of the center of the critical circle.

(b)

To determine

Find the length of the radius of the critical circle.

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Find slope at D in degrees using double integration method. Consider 250 mm x 400 mm (b x h) section and E = 120 GPa. Use a = 3.2 m, b = 19.1 kN/m, and c = 25.5 kN
The rock slope has been mapped and analysed. The data of slope geometry and rock Q1 parameters tabulated in Table 1. The face slope facing toward south and the upper slope is flatted. The discontinuity sets are as follow (dip direction / dip angle); set 1: 10/46', set 2: 190%40, and set 3: 140 /70°. Parameters Values Face slope dip angle 65° Slope height 50 meter Slope length 150 meter Unit weight of the rock 25 kN/m3 Depth of tension crack 2 m Unit weight of water 9.81 kN/m³ The cohesion of all discontinuities 50 kPa Friction angle for all discontinuities 30° ) Calculate the factor of safety for the planar failure mode when the tension crack is completely filled with water.
Question 2 Calculate the slope at point C in degrees. E- 200 GPa, I= 1240 x 106 mm4 Express your answer in two decimal places. No need to indicate sign convention (just in your solution sheet) 1.5 m 10 kN/m 20 kN/m 10 kN/m 1.5 m C D A 2 m 5 m 4 m
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