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 Q1 Variable for Q2
Std No Last Name First Name Cohesion Friction angle Friction angle
21508255 Aravidis Joshua 6806 31 40
20963626 Crabbe Regan 6871 32 20
20928449 Doyle Timothy 6721 31 27
21674568 Goh Zhen Horng 6949 32 22
22361883 Guerrero Orellana Fernando 6715 32 28
21680547 He Guansong 7007 32 22
22069289 Kallepalli Kiran Kumar 6903 33 36
20775658 Lang William 7040 32 26
20864064 Leung Pak Long 7105 32 33
21648117 Luo Yibin 6546 30 35
21304179 Ngu Simeon 6507 32 33
21715017 Nguyen Brian 6591 31 20
21892866 Pei Ying 6871 31 37
21730075 Poole James 6812 31 31
21716739 Popov Alexander 6715 33 33
20915993 Samuel Eric 7150 30 23
22443151 Tasaranago Nyasha 6903 33 24
22147061 Xu Xiyu 6533 30 26
21657089 Zhang Hanqing 6747 30 31
22407361 Zhang Maoqian 7124 31 29
21783434 Zhang Yifan 6871 31 23
22278141 Zhao Taixing 6975 31 32
22116601 Zhou Shuhui 7150 32 38
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