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Solved: The factor of safety for tipping of the concrete
Chapter 9, Problem 9-123(choose chapter or problem)
The factor of safety for tipping of the concrete dam is defined as the ratio of the stabilizing moment due to the dam’s weight divided by the overturning moment about O due to the water pressure. Determine this factor if the concrete has a density of \(\rho_{conc}=2.5 \mathrm{Mg} / \mathrm{m}^{3}\) and for water \(\rho_{w}=1.0 \mathrm{Mg} / \mathrm{m}^{3}\).
Questions & Answers
QUESTION:
The factor of safety for tipping of the concrete dam is defined as the ratio of the stabilizing moment due to the dam’s weight divided by the overturning moment about O due to the water pressure. Determine this factor if the concrete has a density of \(\rho_{conc}=2.5 \mathrm{Mg} / \mathrm{m}^{3}\) and for water \(\rho_{w}=1.0 \mathrm{Mg} / \mathrm{m}^{3}\).
ANSWER:
Step 1 of 6
Find the stability factor (moment about of its weight divided by the moment about of the force exerted by the water) of the dam. The density of water is and the density of concrete is .