660 likes | 767 Views
WHY DO HILLSLOPES MOVE AT SOME TIMES AND NOT AT OTHERS?. Forces, Resistances and Thresholds. FORCES . RESISTANCES . IF FORCE GREATER THAN RESISTANCE , HILLSIDE MOVES OR “FAILS”. IF RESISTANCE GREATER THAN FORCE , HILLSIDE IS STABLE. FORCE = MASS X ACCELERATION.
E N D
WHY DO HILLSLOPES MOVE AT SOME TIMES AND NOT AT OTHERS? Forces, Resistances and Thresholds
FORCES RESISTANCES IFFORCEGREATER THAN RESISTANCE, HILLSIDE MOVES OR “FAILS”. IFRESISTANCEGREATER THAN FORCE, HILLSIDE IS STABLE.
FORCE = MASS X ACCELERATION 1. MASS IS THE MASS OF THE HILLSIDE MATERIAL!
FORCE = MASS X ACCELERATION 1. MASS IS THE MASS OF THE HILLSIDE MATERIAL! 2. ACCELERATION? ……….
FORCE = MASS X ACCELERATION 1. MASS IS THE MASS OF THE HILLSIDE MATERIAL! 2. ACCELERATION? ……… DOWNSLOPE MOVEMENT UNDER THE INFLUENCE OF GRAVITY …… ACCELERATION DUE TO GRAVITY.
0° INTRODUCE A HORIZONTAL SLOPE, 0°.
0° W PLACE BLOCK OF EARTH MATERIAL, WEIGHT, W, ON THE SLOPE
0° W ARBITRARILY DEFINE “DOWNSLOPE” AS TO THE LEFT.
0° W NONE OF THE FORCE OF GRAVITY IS ACTING IN THE DOWNSLOPE DIRECTION
0° W W 30° INCLINE THE PLANE TO 30°
0° W W 30° DOWNSLOPE DIRECTION NOW CLOSER TO DIRECTION OF GRAVITY
0° W W W 30° 60° INCLINE THE PLANE TO 60°
0° W W W 30° 60° DOWNSLOPE DIRECTION EVEN CLOSER TO DIRECTION OF GRAVITY
0° W W W 30° 60° 90° W INCLINE PLANE TO THE VERTICAL, 90°
0° W W W 30° 60° 90° W ALL OF GRAVITY NOW ACTING IN THE DOWNSLOPE DIRECTION.
0° W W W 30° 60° 90° W PROPORTION OF ACCELERATION DUE TO GRAVITY ACTING IN THE DOWNSLOPE DIRECTION IS INCREASING.
0 X W.g 0° W W W SIN(0°) = 0 30° 60° 90° W
0 X W.g 0° SIN(0°) = 0 W W W 30° SIN(30°) = 0.5 0.5 X W.g 60° 90° W
0 X W.g 0° SIN(0°) = 0 W W W 30° SIN(30°) = 0.5 0.5 X W.g 60° SIN(60°) = 0.87 0.87 X W.g 90° W
0.0 X W.g 0° SIN(0°) = 0.0 W W W 30° SIN(30°) = 0.5 0.5 X W.g 60° SIN(60°) = 0.87 0.87 X W.g 90° SIN(90°) = 1.0 W 1.0 X W.g
Mean slope-angle frequency distribution and size frequency distribution of landslide masses in Higashikubiki area, Japan.Junko Iwahashi, Shiaki Watanabe and Takahiko Furuya GeomorphologyVolume 50, Issue 4, 1 March 2003, Pages 349-364
WHY WOULD FORCES ON A HILLSIDE FLUCTUATE?
WHY WOULD FORCES ON A HILLSIDE FLUCTUATE? 1. Changes in Weight2. Changes in Slope
WHY WOULD FORCES ON A HILLSIDE FLUCTUATE? Nevado del Ruiz, Colombia. 1. Changes in Weight • Add water to slope – fill pore spaces 62 lbs per cu ft. 8 lbs per gallon Sichuan Province, China. Armero, Colombia.
WHY WOULD FORCES ON A HILLSIDE FLUCTUATE? 1. Changes in Weight • Add water to slope – fill pore spaces • Build on it! Saskatoon, Canada Bournemouth, England
WHY WOULD FORCES ON A HILLSIDE FLUCTUATE? 2. Changes in Slope • Erosion of bottom of slope. Colorado, US Devon, England
WHY WOULD FORCES ON A HILLSIDE FLUCTUATE? 2. Changes in Slope Virginia • Erosion of bottom of slope. • Road/rail cuttings. Thailand Thailand
WHAT ARE THE RESISTANCES TO MOTION ON A HILLSIDE? Normal Stress: “Normal” meaning at right angles to (the slope). Stress implies the component of the acceleration due to gravity, NOT, acting in a downslope direction, but actually holding the hillside in place.
WHAT IS NORMAL STRESS ? Downslope 90° 0° W Normal Stress
W 30° Normal Stress: Moves away from gravity (decreases) as slope increases. Downslope Component: Approaches gravity as slope increases.
W N.S = Cos (Slope) . W. g. 30° Normal Stress: Moves away from gravity (decreases) as slope increases. Downslope Component: Approaches gravity as slope increases.
WHAT ARE THE RESISTANCES TO MOTION ON A HILLSIDE? Normal Stress: Cosine Slope. Friction: Degree to which particles lock together and resist movement.
Angle of internal friction (repose) GENERALLY: Big grains High friction Small grains Low friction
WHAT ARE THE RESISTANCES TO MOTION ON A HILLSIDE? Normal Stress: Cosine Slope. Friction: High for big grains, low for small. Cohesion: The force that holds together molecules or like particles within a soil.
Cohesion GENERALLY: Clays High cohesion Large grains Low cohesion
FORCES RESISTANCES Weight Slope Normal Stress Friction Cohesion
FORCES RESISTANCES Weight Slope Normal Stress Friction Cohesion WATER HAS DIFFERING ROLES IN THE BALANCE DEPENDING UPON THE QUANTITY OF WATER PRESENT.
HYGROSCOPIC WATER
FORCES RESISTANCES Vs. Weight Slope Normal Stress Friction Cohesion HYGROSCOPIC No Role
CAPILLARY WATER
FORCES RESISTANCES Vs. Weight Slope Normal Stress Friction Cohesion CAPILLARY Resistance Negative Pore Water Pressures
FREE or GRAVITATIONAL WATER
FORCES RESISTANCES Vs. Weight Slope Normal Stress Friction Cohesion GRAVITATIONAL Force Positive Pore Water Pressures
Mass Movement Experiment for Floridians Sand Castle – Steep Slopes