Question

Consider a 200-ft-high, 1200-ft-wide dam filled to capacity. Determine (a) the hydrostatic force on the dam and (b) the force per unit area of the dam near the top and near the bottom. Note: we will see that the resultant hydrostatic force will be

Answer 1

Answer:

a)  $F_g=1.5*10^9Ibf$

b)  $F_t=12490Ibf/ft^2$

     $F_b=0$

Explanation:

From the question we are told that:

Height $h=200ft$

Width $w=1200ft$

a)

Generally the equation for Dam's Hydro static force is mathematically given by

$F_g=\rho*g*\frac{h}{2}(w*h)$

Where

$\rho=Density\ of\ water$

$\rho=62.4Ibm/ft^3$

Therefore

$F_g=62.4*32.2*\frac{200}{2}(1200*200)$

$F_g=1.5*10^9Ibf$

b)

Generally the equation for Dam's Force per unit area is mathematically given by

$F=\rho*g*h$

For Top

$F_t=\rho*g*h$

$F_t=62.4*32.2*200$

$F_t=12490Ibf/ft^2$

For bottom

$Here \\H=0 zero$

Therefore

$F_b=0$