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# onsidering the slope shown in below figure (not scaled) and the information given in Table. For the cases (I) wet slope/tension crack is included and (II) dry slope/tension crack is not included. First calculate it manually and verify the solution using rock plane.

Rock mechanics slope stability
Assignment 1
1. Considering the slope shown in below figure (not scaled) and the information given in Table. For the cases (I) wet slope/tension crack is included and (II) dry slope/tension crack is not included. First calculate it manually and verify the solution using rockplane.
a) Calculate the factor of safety using deterministic approaches and average values.
b) Calculate the factor of safety and possibility of failure using two point estimate method. Assume that there is not any correlation between variables.
c) Justify calculated FOS and PoF values referring related tables.
Parameter
Average
COV, %
Scenario 1
Dry conditions
Slope height, H
50 m
Slope angle, 
45°
Dip of fault plane, 
37°
Cohesion of failure plane
See the list, kgf/m2
10
Friction angle, 
See the list, °
10
Unit Weight of rock
2800 kg/m3
Scenario 2
Wet slope with tension crack
Horizontal distance between tension crack and slope crest (T)
12 m
Depth of Water in tension crack (h)
2.5 m
2. A quarry is to be opened in a rock mass which contains four fracture sets with dip directions and dip angles as follows: Set 1: 235/57, Set 2: 130/35, Set 3: 065/65, Set 4: 015/25. The rock mass friction angle is assumed as the same (see student list) for all discontinuities.
Considering range of slope face dip direction from 000 to 360 (with 15° intervals), what are the maximum possible slope angle for avoiding planar and wedge failure. Make recommendations on slope face orientation based on your calculations.
Show your drawings on tracing papers for five cases, 015, 075, 150, 210 and 300.
Slope face dip direction
Max slope face angle
For plane failure
For Wedge failure
000
015
030
045
060
075
090
105
120
135
150
165
180
195
210
225
240
255
270
285
300
315
330
345
360
SUBMISSION OF THE ASSIGNMENT IS BY 26 October (till 18:00 pm).
Hardcopy to assignment box and the scanned copy of the assignment should be sent via LMS or e-mail.
Variables for Q1Variable for Q2Std NoLast NameFirst NameCohesionFriction angleFriction angle21508255AravidisJoshua6806314020963626CrabbeRegan6871322020928449DoyleTimothy6721312721674568GohZhen Horng6949322222361883Guerrero OrellanaFernando6715322821680547HeGuansong7007322222069289KallepalliKiran Kumar6903333620775658LangWilliam7040322620864064LeungPak Long7105323321648117LuoYibin6546303521304179NguSimeon6507323321715017NguyenBrian6591312021892866PeiYing6871313721730075PooleJames6812313121716739PopovAlexander6715333320915993SamuelEric7150302322443151TasaranagoNyasha6903332422147061XuXiyu6533302621657089ZhangHanqing6747303122407361ZhangMaoqian7124312921783434ZhangYifan6871312322278141ZhaoTaixing6975313222116601ZhouShuhui71503238

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