Question

A concrete dam with 1.5m wide at the top, 5m wide at bottom and 10m in high, with upstream face vertical. Determine
A) height of the water to be stored in the dam
B) Base width of the dame for no tension at the base of the dam when water is stored up to the top of the dam
Take density of masonry as 2500kg/m square and that of water is 1000kg /mSqure A concrete dam with 1.5m wide at the top, 5m wide at bottom and 10m in high, with upstream face vertical. Determine
A) height of the water to be stored in the dam
B) Base width of the dame for no tension at the base of the dam when water is stored up to the top of the dam
Take density of masonry as 2500kg/m square and that of water is 1000kg /mSqure

Answer 1

Given: A concrete dam with 1.5m wide at the top, 5m wide at bottom and 10m in high, with upstream face vertical

To find:  A) height of the water to be stored in the dam

              B) Base width of the dam for no tension at the base of the dam when water is stored up to the top of the dam .

Solution:

• Now we have given the dimension of dam, that is 1.5m wide at the top, 5m wide at bottom and 10m in high.

• So the height of the water to be stored in the dam  will be 10 m.

• Now we know the formula for pressure:

               P = ρ1g1h1 + ρ2g2h2

• So, the pressure at the bottom of the dam when it is full will be:

               P = ( 2500 × 10 × 10 ) + ( 1000 × 10 × 10)

                   = 350000 Pa

• Now the force at bottom of the dam :is:

                F = ρgAh

                   = 3500 × 10 × 32.5

                  = 1137500 N

Answer:

              So the height of the water to be stored in the dam  will be 10 m, pressure at the bottom of the dam when it is full will be 350000 Pa  and the force at bottom of the dam is  1137500 N.