A gravity dam made of concrete is shown in Figure 2. Consider hydrostatic uplift and water at normal water level height (meaning, no flood) in the upstream side. Use unit weight of concrete at 2,402 kg/cu. m. and unit weight of water at 1000 kg/cu. m. (1) Solve for the numerical value of the forces in kg and their moment arms with respect to the toe. Refer to Table 1 as well. (2) Solve for the magnitude and location of the reaction forces with respect to the toe of the dam such that the dam is safe against sliding and overturning. (3) Is the dam safe? Solve for the factor of safety against sliding, and factor of safety against overturning. Use u = 0.20. H= 15 m Figure 2. Diagram for Dam in Problem 4. Table 1. Dam Portions with Dimensions for Dam Problem Area Height (m) Base (m) 20
A gravity dam made of concrete is shown in Figure 2. Consider hydrostatic uplift and water at normal water level height (meaning, no flood) in the upstream side. Use unit weight of concrete at 2,402 kg/cu. m. and unit weight of water at 1000 kg/cu. m. (1) Solve for the numerical value of the forces in kg and their moment arms with respect to the toe. Refer to Table 1 as well. (2) Solve for the magnitude and location of the reaction forces with respect to the toe of the dam such that the dam is safe against sliding and overturning. (3) Is the dam safe? Solve for the factor of safety against sliding, and factor of safety against overturning. Use u = 0.20. H= 15 m Figure 2. Diagram for Dam in Problem 4. Table 1. Dam Portions with Dimensions for Dam Problem Area Height (m) Base (m) 20
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A gravity dam made of concrete is shown in Figure 2. Consider hydrostatic uplift and
water at normal water level height (meaning, no flood) in the upstream side. Use unit
weight of concrete at 2,402 kg/cu. m. and unit weight of water at 1000 kg/cu. m.
(1) Solve for the numerical value of the forces in kg and their moment arms with respect
to the toe. Refer to Table 1 as well.
(2) Solve for the magnitude and location of the reaction forces with respect to the toe of
the dam such that the dam is safe against sliding and overturning.
(3) Is the dam safe? Solve for the factor of safety against sliding, and factor of safety
against overturning. Use u = 0.20.
H= 15 m
Figure 2. Diagram for Dam in Problem 4.
Table 1. Dam Portions with Dimensions for Dam Problem
Area
Height (m)
Base (m)
1
7
20
12
3
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