1. Swami Keshvanand Institute of Technology
Management & Gramothan Jaipur
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SUBJECT: WATER RESOURCE ENGINEERING (WRE)
SITARAM SAINI
ASSISTANT PROFESSOR
DEPARTMENT OF CIVIL ENGINEERING
2. Introduction
1. What is the gravity dam.
2. Need of gravity dam.
3. Forces acting on gravity dam.
4. Stability analysis of gravity dam.
5. Numerical problems on gravity dam.
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3. Numerical problems on gravity dam.
Q.1. Determine the maximum and minimum vertical stresses to which the
foundation of the dam will be subjected from the following data:
1. Total overturning moment about toe(ΣMo ) = 1.2× 106 kN-M
2. Total resisting moment about toe(ΣMR ) = 2.5× 106 kN-M
3. Total vertical force above base (Σ V) = 6× 104kN
4. base width of the dam = 55m
No tail water depth at d/s. and d/s slope = 0.8:1
Answer :
_
𝑥
=
𝑀
𝑉
=
𝑀𝑅− 𝑀𝑂
𝑉
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5. Q.2. Check the stability of the gravity dam shown in fig. for the reservoir empty
and reservoir full conditions. Also find the principal stresses and shear stresses at
toe and heel of the dam . Assume µ=0.75.consider
1. weight of dam.
2.water pressure.
3. uplift pressure.
Take the average shear strength (q)=1400kN/m2
Unit weight of concrete = 24kN/M3
Slope of d/s face = 0.8:1 (40/50) and Slope of u/s face = 0.1:1 (3/30)
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6. S.
N
O
ITEM DESCRIPTION AND
DIMENSION
FORCE(KN) LEVER
ARM
FROM
TOE (M)
MOMENT ABOUT
TOE(KN-M)
VERTICAL HORIZONTAL (+)IVE (-)IVE
1 W1 .5X3X30X24 1080 48 51840
2 W2 7X65X24 10920 43.50 475020
3 W3 .5X40X50X24 24000 .67X40 640000
4 PH 9.81X62X62X.5 18854.82 .33X62 -389666.2
5 PV1 3X32X9.81 941.76 48.50 45675.36
6 PV2 .5X3X30X9.81 441.45 49 21631.05
7 U1 .33X62X9.81X8 -1621.9 46 -74608.32
8 U2 .5X.67X62X9.81X8 -1621.9 142X.33 -76770.88
9 U3 .5X.33X62X9.81X42 -4257.5 28 -119211.1
SUM OF FORCES&MOMENTS; 1-3 36000 1166860 0.0
1-6 37383.2 18854.82 1234166 -389666.2
1-9 29881.8 18854.82 1234166 -660256.6
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