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An artificial reservoir is obtained via a concrete dam. Water backs up behind the concrete dam as shown in Figure 1. Leakage under the foundation gives a pressure distribution under the dam as indicated, with pa= y h and pay hw. If the water depth, h, is too large, the dam will topple over about its toe (point A). Base your analysis on a unit length of the dam (i.e., length in the direction entering the page). The specific weight of the concrete is yc= 25000 + 10 (a + B) N m³, with a and ß defined at the end of this document. 1. Determine the maximum water depth that can be achieved without dam failure in the case shown in Figure la. 2. Determine the maximum water depth that can be achieved without dam failure in the case shown in Figure 1b (the dimensions are the same as in Figure 1a). 3. Which case leads to a larger h? Explain briefly why. The report must contain figures showing schematically the forces (magnitudes roughly in scale, directions and lines of action) used to calculate the maximum water depths achievable in the two cases. Data: hp 12+0.05 a m hr = 1 m 0=650 y=9800 Nm ³ L=2+0.05 Bm R = 1 m Yc=25000 + 10 (a + B) N m³

An artificial reservoir is obtained via a concrete dam. Water backs up behind the concrete dam as shown in Figure 1. Leakage under the foundation gives a pressure distribution under the dam as indicated, with pa= y h and pay hw. If the water depth, h, is too large, the dam will topple over about its toe (point A). Base your analysis on a unit length of the dam (i.e., length in the direction entering the page). The specific weight of the concrete is yc= 25000 + 10 (a + B) N m³, with a and ß defined at the end of this document. 1. Determine the maximum water depth that can be achieved without dam failure in the case shown in Figure la. 2. Determine the maximum water depth that can be achieved without dam failure in the case shown in Figure 1b (the dimensions are the same as in Figure 1a). 3. Which case leads to a larger h? Explain briefly why. The report must contain figures showing schematically the forces (magnitudes roughly in scale, directions and lines of action) used to calculate the maximum water depths achievable in the two cases. Data: hp 12+0.05 a m hr = 1 m 0=650 y=9800 Nm ³ L=2+0.05 Bm R = 1 m Yc=25000 + 10 (a + B) N m³

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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a=6，B=3

An artificial reservoir is obtained via a concrete dam. Water backs up behind the concrete dam as shown in Figure 1. Leakage under the foundation gives a pressure distribution under the dam as indicated, with pe=y h and pay hw . If the water depth, h, is too large, the dam will topple over about its toe (point A). Base your analysis on a unit length of the dam (i.e., length in the direction entering the page). The specific weight of the concrete is yc= 25000 + 10 (a + B) N m²³, with a and ß defined at the end of this document. 1. Determine the maximum water depth that can be achieved without dam failure in the case shown in Figure 1a. 2. Determine the maximum water depth that can be achieved without dam failure in the case shown in Figure 1b (the dimensions are the same as in Figure la). 3. Which case leads to a larger h? Explain briefly why. The report must contain figures showing schematically the forces (magnitudes roughly in scale, directions and lines of action) used to calculate the maximum water depths achievable in the two cases. Data: hp 12+0.05 a m ht= 1 m 0 = 650 y = 9800 Nm ³ L = 2 + 0.05 B m R = 1 m Yc= 25000 + 10 (a + B) N m³
Transcribed Image Text:An artificial reservoir is obtained via a concrete dam. Water backs up behind the concrete dam as shown in Figure 1. Leakage under the foundation gives a pressure distribution under the dam as indicated, with pe=y h and pay hw . If the water depth, h, is too large, the dam will topple over about its toe (point A). Base your analysis on a unit length of the dam (i.e., length in the direction entering the page). The specific weight of the concrete is yc= 25000 + 10 (a + B) N m²³, with a and ß defined at the end of this document. 1. Determine the maximum water depth that can be achieved without dam failure in the case shown in Figure 1a. 2. Determine the maximum water depth that can be achieved without dam failure in the case shown in Figure 1b (the dimensions are the same as in Figure la). 3. Which case leads to a larger h? Explain briefly why. The report must contain figures showing schematically the forces (magnitudes roughly in scale, directions and lines of action) used to calculate the maximum water depths achievable in the two cases. Data: hp 12+0.05 a m ht= 1 m 0 = 650 y = 9800 Nm ³ L = 2 + 0.05 B m R = 1 m Yc= 25000 + 10 (a + B) N m³
ho 3 R [hr hw b) Figure 1. Schematic cross-section of concrete dams. The parameters a and ß are the number of characters in your given name and last name, respectively. For example, for Edoardo Daly, a = 7 and B = 4. 1 Prepare a brief report that includes: - values of the parameters a and - brief explanation of the rationale used to solve the problem, calculations of force magnitudes, locations and directions, and moments (this can be handwritten as long as it is clearly legible) - schematic drawing showing the forces involved in the problem for both questions 1 and 2. The drawing can be done by hand as long as it is clearly legible; direction, magnitude and line of action of the forces should be clear and roughly to scale
Transcribed Image Text:ho 3 R [hr hw b) Figure 1. Schematic cross-section of concrete dams. The parameters a and ß are the number of characters in your given name and last name, respectively. For example, for Edoardo Daly, a = 7 and B = 4. 1 Prepare a brief report that includes: - values of the parameters a and - brief explanation of the rationale used to solve the problem, calculations of force magnitudes, locations and directions, and moments (this can be handwritten as long as it is clearly legible) - schematic drawing showing the forces involved in the problem for both questions 1 and 2. The drawing can be done by hand as long as it is clearly legible; direction, magnitude and line of action of the forces should be clear and roughly to scale
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