method of slices
DESCRIPTION
METHOD OF SLICES. YULVI ZAIKA. LEARNING OUTCOMES. SLOPE STABILITY BASED ON TAYLOR DIAGRAM BASIC THEORY OF SLICE OF SLOPES CALCULATION OF SAFETY FACTOR. TAYLOR DIAGRAM FOR COHESION SOIL( = 0). -. Because than. Nd = stability number. Stability diagram for cohesive soil and >53 o. - PowerPoint PPT PresentationTRANSCRIPT
METHOD OF SLICES YULVI ZAIKA
LEARNING OUTCOMES
• SLOPE STABILITY BASED ON TAYLOR DIAGRAM
• BASIC THEORY OF SLICE OF SLOPES
• CALCULATION OF SAFETY FACTOR
TAYLOR DIAGRAM FOR COHESION SOIL( = 0)
-
Nd = stability number
Because than
STABILITY DIAGRAM FOR COHESIVE SOIL AND >53O
𝐷=h𝐷𝑒𝑝𝑡 𝑜𝑓 h𝑎𝑟𝑑 𝑙𝑎𝑦𝑒𝑟
h h𝑖𝑔 𝑜𝑓 𝑠𝑙𝑜𝑝𝑒𝑠
Hard layer
Z=depth of hard layer
High of slopes
SLOPES STABILITY FOR COHESION LESSSOIL; >0 (TAYLOR, 1948)
THE SLICED METHODYULVI ZAIKA
SLICED METHOD
• THIS METHOD CAN BE USED FOR SOIL IN DIFFERENT SHEARING RESISTANCE ALONG THE FAILURE PLANE
• PROPOSED BY FELLENIUS ,BISHOP, JANBU, ETC
• ASSUMED CIRCULAR FAILURE PLANE
REGULATION OF SLICES
1. SLICED PERFORMED VERTICAL DIRECTION
2. THE WIDTH OF THE SLICE DOES NOT HAVE THE SAME MEASUREMENT
3. ONE SLICE MUST HAVE ONE TYPE OF SOIL IN THE FAILURE SURFACE
4. THE WIDTH OF THE SLICE MUST BE SUCH THAT THE CURVE (FAILURE PLANE) CAN BE CONSIDERED A STRAIGHT LINE
5. THE TOTAL WEIGHT OF SOIL IN A SLICE IS THE SOIL WEDGE ITSELF, INCLUDING WATER AND EXTERNAL LOAD
FELLENIUS (ORDINARY) METHOD OF SLICES
• FIRSTLY IT IS ASSUMED THAT THE SIDE FORCES T AND E MAY BE NEGLECTED
AND SECONDLY, THAT THE NORMAL FORCE N, MAY BE DETERMINED SIMPLY BY
RESOLVING THE WEIGHT W OF THE SLICE IN A DIRECTION NORMAL TO THE
ARC, AT THE MID POINT OF THE SLICE
• WHERE IS THE ANGLE OF INCLINATION OF THE POTENTIAL FAILURE ARC TO
THE HORIZONTAL AT THE MID POINT OF THE SLICE
• THE DRIVING FORCE IS
FORMULATION
• IF SUBMERGED.
• WHERE:
STEP BY STEP PROCEDURE
1. DRAW CROSS-SECTION TO NATURAL SCALE
2. SELECT FAILURE SURFACE
3. DIVIDE THE FAILURE MASS INTO SOME SLICES
4. COMPUTE TOTAL WEIGHT ( WT ) OF EACH SLICE
5. COMPUTE FRICTIONAL RESISTING FORCE FOR EACH SLICE N TANΦ – UL
6. COMPUTE COHESIVE RESISTING FORCE FOR EACH SLICE CL
7. COMPUTE TANGENTIAL DRIVING FORCE (T) FOR EACH SLICE
8. SUM RESISTING AND DRIVING FORCES FOR ALL SLICES AND COMPUTE FS
BISHOP METHOD- Also known as Simplified Bishop method
- Includes interslice normal forces
- Neglects interslice shear forces
- Satisfies only moment equilibrium
3. Simplified Bishop Method
RECOMMENDED STABILITY METHODS
• ORDINARY METHOD OF SLICES (OMS) IGNORES BOTH SHEAR AND NORMAL INTERSLICE FORCES AND ONLY MOMENT EQUILIBRIUM
• BISHOP METHOD- ALSO KNOWN AS SIMPLIFIED BISHOP METHOD- INCLUDES INTERSLICE NORMAL FORCES- NEGLECTS INTERSLICE SHEAR FORCES- SATISFIES ONLY MOMENT EQUILIBRIUM
OTHERS
• SIMPLIFIED JANBU METHOD- INCLUDES INTERSLICE NORMAL FORCES- NEGLECTS INTERSLICE SHEAR FORCES- SATISFIES ONLY HORIZONTAL FORCE EQUILIBRIUM
• SPENCER METHOD- INCLUDES BOTH NORMAL AND SHEAR INTERSLICE FORCES- CONSIDERS MOMENT EQUILIBRIUM- MORE ACCURATE THAN OTHER METHODS
RECOMMENDED STABILITY METHODS
OMS IS CONSERVATIVE AND GIVES UNREALISTICALLY LOWER FS THAN BISHOP OR OTHER REFINED METHODS
FOR PURELY COHESIVE SOILS, OMS AND BISHOP METHOD GIVE IDENTICAL RESULTS
FOR FRICTIONAL SOILS, BISHOP METHOD SHOULD BE USED AS A MINIMUM
RECOMMENDATION: USE BISHOP, SIMPLIFIED JANBU OR SPENCER
REMARKS ON SAFETY FACTOR
USE FS = 1.3 TO 1.5 FOR CRITICAL SLOPES SUCH AS END SLOPES UNDER ABUTMENTS, SLOPES
• CONTAINING FOOTINGS, MAJOR RETAINING STRUCTURES
USE FS = 1.5 FOR CUT SLOPES IN FINE-GRAINED SOILS WHICH CAN LOSE STRENGTH WITH TIME