8.1). The concrete has a unit weight of 2.4 Mg/m³ (150 lb/ft³). The height of the dam is 67.1 m (220 ft), the crest is 6.1 m (20 ft) wide, and the base is 61 m (200 ft) wide. Note: 1 ft = 0.3048 m. a. What is the average pressure exerted on the rock foundation in MPa (lb/ft2)? What is the maximum pressure? Explain. b. Refer to the different sedimentary rocks listed in Table 8.1. Using average compressive strength and shear strength values for these sedimentary rocks compare them to the average pressure calculated in part (a). Are any so low to be of concern? Explain.

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Chapter2: Loads On Structures
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Questions b and c. The pressure from part a is 0.86832 Mpa
---

**Table 8.1: Engineering Properties of Different Rocks**

This table presents the engineering properties of various rock types, categorized into igneous, metamorphic, and sedimentary groups. The properties include compressive strength, tensile strength, shear strength, modulus of elasticity, Poisson's ratio, unit weight, porosity, and angle of shear resistance. Here's a detailed description:

### Rock Types and Properties:

#### Igneous Rocks:
1. **Granite:**
   - Unweathered: 
     - Compressive Strength: 133-240 MPa
     - Tensile Strength: 13-23 MPa
     - Shear Strength: 41 MPa
     - Modulus of Elasticity: 79 GPa
     - Poisson's Ratio: 0.15-0.24
     - Unit Weight: 25.5-27.5 kN/m³
     - Porosity: 0.5-1.5%
     - Angle of Shear Resistance: 48-56°
   - Slightly Altered:
     - Compressive Strength: 102-204 MPa
     - Tensile Strength: 10-17 MPa
     - Shear Strength: 35 MPa
     - Modulus of Elasticity: 70 GPa
     - Poisson's Ratio: 0.17
     - Unit Weight: 25-26.7 kN/m³
     - Porosity: 1-5%
     - Angle of Shear Resistance: 47-55°

2. **Syenite, Diorite, Dolerite:**
   - Similar properties with slight variations in compressive and tensile strengths, usually ranging from 80 to 350 MPa and 8 to 25 MPa respectively.

3. **Basalt:**
   - Compressive Strength: 78-317 MPa
   - Tensile Strength: 6-22 MPa
   - Modulus of Elasticity and other properties vary significantly.

#### Metamorphic Rocks:
1. **Gneiss:**
   - Compressive Strength: 48-196 MPa
   - Tensile Strength: 4-19 MPa
   - Shear Strength: 31 MPa
   - Varied Modulus of Elasticity and Poisson's Ratio.

2. **Schist, Marble, Slate:**
   - Schist materials
Transcribed Image Text:--- **Table 8.1: Engineering Properties of Different Rocks** This table presents the engineering properties of various rock types, categorized into igneous, metamorphic, and sedimentary groups. The properties include compressive strength, tensile strength, shear strength, modulus of elasticity, Poisson's ratio, unit weight, porosity, and angle of shear resistance. Here's a detailed description: ### Rock Types and Properties: #### Igneous Rocks: 1. **Granite:** - Unweathered: - Compressive Strength: 133-240 MPa - Tensile Strength: 13-23 MPa - Shear Strength: 41 MPa - Modulus of Elasticity: 79 GPa - Poisson's Ratio: 0.15-0.24 - Unit Weight: 25.5-27.5 kN/m³ - Porosity: 0.5-1.5% - Angle of Shear Resistance: 48-56° - Slightly Altered: - Compressive Strength: 102-204 MPa - Tensile Strength: 10-17 MPa - Shear Strength: 35 MPa - Modulus of Elasticity: 70 GPa - Poisson's Ratio: 0.17 - Unit Weight: 25-26.7 kN/m³ - Porosity: 1-5% - Angle of Shear Resistance: 47-55° 2. **Syenite, Diorite, Dolerite:** - Similar properties with slight variations in compressive and tensile strengths, usually ranging from 80 to 350 MPa and 8 to 25 MPa respectively. 3. **Basalt:** - Compressive Strength: 78-317 MPa - Tensile Strength: 6-22 MPa - Modulus of Elasticity and other properties vary significantly. #### Metamorphic Rocks: 1. **Gneiss:** - Compressive Strength: 48-196 MPa - Tensile Strength: 4-19 MPa - Shear Strength: 31 MPa - Varied Modulus of Elasticity and Poisson's Ratio. 2. **Schist, Marble, Slate:** - Schist materials
**Exercise Figure 8.1**

8.1) The concrete has a unit weight of 2.4 Mg/m³ (150 lb/ft³). The height of the dam is 67.1 m (220 ft), the crest is 6.1 m (20 ft) wide, and the base is 61 m (200 ft) wide. *Note: 1 ft = 0.3048 m.*

a. What is the average pressure exerted on the rock foundation in MPa (lb/ft²)? What is the maximum pressure? Explain.

b. Refer to the different sedimentary rocks listed in Table 8.1. Using average compressive strength and shear strength values for these sedimentary rocks, compare them to the average pressure calculated in part (a). Are any so low to be of concern? Explain.

c. Assume that the pressure from the weight of the dam is dissipated within 30.3 m (100 ft) below the rock surface and the full pressure acts over this distance. How much settlement will occur in the center of the dam because of the gravity force for the different sedimentary rocks listed in Table 8.1 (use average values)?

7. Excavation for a gravity dam foundation revealed a unit of poorly cemented sandstone 30.3 m (100 ft) wide (plan view) within a massive dolomite sequence. The dolomite has an *E* value of 5.5 × 10⁴ MPa (8 × 10⁶ psi) and the sandstone has an *E* value of 6.9 × 10³ MPa (1 × 10⁶ psi).

a. What would be the concern if both rocks were...
Transcribed Image Text:**Exercise Figure 8.1** 8.1) The concrete has a unit weight of 2.4 Mg/m³ (150 lb/ft³). The height of the dam is 67.1 m (220 ft), the crest is 6.1 m (20 ft) wide, and the base is 61 m (200 ft) wide. *Note: 1 ft = 0.3048 m.* a. What is the average pressure exerted on the rock foundation in MPa (lb/ft²)? What is the maximum pressure? Explain. b. Refer to the different sedimentary rocks listed in Table 8.1. Using average compressive strength and shear strength values for these sedimentary rocks, compare them to the average pressure calculated in part (a). Are any so low to be of concern? Explain. c. Assume that the pressure from the weight of the dam is dissipated within 30.3 m (100 ft) below the rock surface and the full pressure acts over this distance. How much settlement will occur in the center of the dam because of the gravity force for the different sedimentary rocks listed in Table 8.1 (use average values)? 7. Excavation for a gravity dam foundation revealed a unit of poorly cemented sandstone 30.3 m (100 ft) wide (plan view) within a massive dolomite sequence. The dolomite has an *E* value of 5.5 × 10⁴ MPa (8 × 10⁶ psi) and the sandstone has an *E* value of 6.9 × 10³ MPa (1 × 10⁶ psi). a. What would be the concern if both rocks were...
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