Advance Studies in Hydraulic Structures Case Study
Hydro Power and Pump Storage in the Black Forest Presentation 2
Design of Concrete Gravity Gravity Dam Group Number 5 Presenter
M. Adil Javed
Content
1 - Dam Design Parameters 2 - Drawings and Site Plan 3 - Stability Checks 4 - FEM - Analysis
1 - Dam Design Parameters I
Max. Operation Level: 670 m Freebord: 1 m Lowest Point Dam: 625 m
Foundation Level: 619 m Height for Flood (h o): 2m
1 - Dam Design Parameters II
Parameters a = 55 m (Height from given levels) b = 41 m (Width) c = 4 m (Service Road) x = 0.70 (chosen from 0.7 – 0.8) y=1 L = 400 m
1 - Dam Design Parameters III
A = 16 m2 B = 204 m2 C = 943,5 m2
Cross Section
Site Plan I
Site Plan II
Stability Checks I Concrete Properties (A) -Density: 2.25 g/cm3 = 2250 kg/m3 Angle of internal friction (φ ): 43.5 º - Angle
-Compressive strength: 15.8
N/mm2
= 161
kg/cm2
-Tensile strength: 1.9 N/mm2 = 19.37 kg/cm2 -Degree of join: 0.01
Rock Foundation Properties (A) -Density: 2.64 g/cm3 = 2640 kg/m3 -Angle of internal friction (φ ): 52.5 º -Compressive strength: 111.3 N/mm 2 = 1134.5 kg/cm2 -Tensile strength: 10 N/mm 2 = 101.94 kg/cm2 -Degree of join: 0.03
Given Values
Stability Checks II
Stability Checks III
1 - Dead Loads L1, L2, L3
L1 L2 L3
20825 4503 353
kN kN kN
2 - Water Load W1
W1
13778,145 kN
3 - Uplift Load W2
W2
7460,996 kN
Likely Loads for Unit Length
Stability Checks IV
Moments
Force L1 L2 L3 W1 W2 ∑
Horizontal Ve rtica l (kN) (kN) 20825,40375 4502,79 353,16 13778,145 -7460,996
Lever Arm X (m)
Moment about X (kN.m)
Lever Moment Arm Z about Z (m) (kN.m)
16,33333 340148,261 24,67 513693,3 2 9005,58 39 175608,8 2 706,32 39 13773,24 17,67 243413,895 17,67 -243414 13,66667 -101966,94 27,33 -203934
Stability Checks VI
Dimensioning Situations (DIN 19700) Selected = BS I
Overall Safety Factors (DIN 19700)
Stability Checks V Load Case I
Resistance Conditions of Structure = Likely Loadings
Dimensioning Situation = BS I
Stability Checks VI General Ge neral Requirem Re quirements ents for Stability Stability 1 - Safety angainst Floating
ηa = ηa =
(L1+L2+L3) / W2 3,4
Stability Checks VI 2. Safety Against Sliding
ηg = ((L1+L2+L3-W2 * tan φ) + a * (B * 1m ) * c) / W1 ηg =
4,63 > 2 "BS I"
OK
Stability Checks VI 3.Safety Against Overturning
M´R (x)=
491307 kN k Nm
M´R (z)=
255728 kN k Nm
Rv =
18220 kN kNm
lAC ; is the lever arm from the turning point X or Z to the centre point from X lAC=
b/ 2
13,6231199
MR (x) =
117790 kN k Nm
MR (z) =
-117790 kNm
e (x) =
65 m
20,5
from Z 27, 3768801 m
OK
Stability Checks VI 4. Admissible Base Pressure
σh(t)= Rv / (B * 1m) +/- (e * Rv) Rv) / ((B^2 * 1m)/6) 1m)/6) σh(t) (x)=
864,82 ,8264902 kN/m kN/m²²
σh(t) (z)=
864,82 ,8264902 kN/m kN/m²²
<
2000
kN/m²
OK OK
FEM Analysis
Boundary Conditions
Material: Concrete Foundation: Rock
Roller Support
Fixed Support
FEM Analysis
Meshing
FEM Analysis
Hydrostatic Pressure
FEM Analysis
Uplift Pressure
FEM Analysis
Total Deformation
Max. Deformation 3,06 cm
FEM Analysis
Elastic Strain
FEM Analysis
Deform. Animation
Max. Deformation 3,06 cm
Thanks !
