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Chapter 20.5, Problem 2BYG
To determine

Explain the present worth of a uniform series payment.

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Following are the data of gauge and discharge collected at a particular section of the river by stream gauging operation. Gauge reading Discharge Gauge reading Discharge (m) (cms) (m) (cms) 7.65 15 8.48 170 7.70 30 8.98 400 7.77 57 9.30 600 7.80 39 9.50 800 7.90 60 89 10.50 1500 7.91 100 11.10 2000 8.08 150 11.70 2400 1. Develop a rating curve for this stream at this section for use in estimating the discharge for a known gauge reading and fit a linear regression equation for use in estimation of stage for a known value of discharge. Use a value of 7.50 as the gauge reading corresponding to zero discharge. (20 pts) Equation 1 arith 2. What is the coefficient of correlation of the derived relationship? (10 pts) R2² arith Equation 2 log R2 log 3. Determine the stage for a discharge of 3500 cms (5 pts) 4. Determine the discharge for a stage of 15 m (5 pts) NB Do both arithmetic and logarithmic plots
Q2/ A (2m x 4 m) rectangular flexible foundation is placed above the ground surface (G.S) for two layers of clay, each layer 10 m thick. The modulus of Elasticity (E.) of the upper layer is 13 MN/m² and that of the lower layer is 15 MN/m². The Poisson ratio is (u, = 0.6) for the two layers. The pressure (stress) of 100 kN/m²is distributed along the surface of foundation. Determine the rigid immediate settlement at the corner of the foundation using Elastic theory method?
Q1/ Find the maximum allowable load for a square foundation (3 m x 3 m) placed vertically in cohesive soil? (Use Terzaghi equation) Note: Yt=Yeat=18 kN/m³ Depth of foundation = 1.5 m Depth of water table below the ground surface = 0.8 m Factor of safety 3 C=20 Yw = 10 kN/m³ = No vertical or inclined loads
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