Advance Studies in Hydraulic StructuresCase Study

Hydro Power and Pump Storage in the Black ForestPresentation 2

Design of Concrete Gravity Dam Group Number 5Presenter

M. Adil Javed

Content

1 - Dam Design Parameters

2 - Drawings and Site Plan3 - 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 (ho): 2m

1 - Dam Design Parameters II

Parametersa = 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 IConcrete Properties (A)-Density: 2.25 g/cm3 = 2250 kg/m3 -Angle of internal friction ( ): 43.5

-Compressive strength: 15.8

N/mm2

= 161

kg/cm2

Given Values

-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 ( ): 52.5 -Compressive strength: 111.3 N/mm2 = 1134.5 kg/cm2 -Tensile strength: 10 N/mm2 = 101.94 kg/cm2 -Degree of join: 0.03

Stability Checks II

Stability Checks III1 - 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

MomentsHorizontal Vertical (kN) (kN) Lever Moment Lever Arm X about X Arm Z (m) (kN.m) (m) 20825,40375 16,33333 340148,261 24,67 4502,79 2 9005,58 39 353,16 2 706,32 39 13778,145 17,67 243413,895 17,67 -7460,996 13,66667 -101966,94 27,33 18220,35825 13778,145 491307,118 Moment about Z (kN.m) 513693,3 175608,8 13773,24 -243414 -203934 255727,6

Force L1 L2 L3 W1 W2

Stability Checks VIDimensioning Situations(DIN 19700) Selected = BS I

Overall Safety Factors(DIN 19700)

Stability Checks VLoad Case I Resistance Conditions of Structure = Likely Loadings

Dimensioning Situation = BS I

Stability Checks VIGeneral Requirements for Stability1 - Safety angainst Floating

a = (L1+L2+L3) / W2 a = 3,4

Stability Checks VI2. Safety Against Sliding

g = ((L1+L2+L3-W2 * tan ) + a * (B * 1m ) * c) / W1 g = 4,63 > 2 "BS I" OK

Stability Checks VI3.Safety Against Overturning

MR (x)= MR (z)=

491307 kNm 255728 kNm

Rv =

18220 kNm

lAC ; is the lever arm from the turning point X or Z to the centre point from X b/2 from Z lAC= 13,6231199 20,5 27,3768801 m MR (x) = MR (z) = 117790 kNm -117790 kNm

e (x) = e (z) =

6,5 m -6,5 m