Question 9

The dimensions of the dam storing a water to a height of 10 m is shown in the Figure. Determine the following:

a) Magnitude of the resultant force due to water pressure Fp, location of the Fp from the base of the dam and the overturning moment caused by the Fp about O.

b) Calculate the stabilising moment caused by the weight of the dam about O. c) Is the dam safe from over-turning? If the dam does not meet the minimum factor of safety of 3.0 then, what are your suggestions to increase the stability of the dam to over 3.0 with reasons?

Assumed concrete density of 2,500 kg/m3 and water density of 1,000 kg/m3.

Question 10

Determine the support reactions of the beam shown in the figure below. Draw the shear and bending moment diagrams for the compound beam. The beam is pin-connected at E and F.