Describe the elements of a matrix.

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Chapter 18.5, Problem 1BYG

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Describe the elements of a matrix.

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Directions: Show your solutions explicitly, i.e., do not just write the final answer. 1. A wall footing is to be constructed on a clay soil 1.4 below the ground. The footing is to support a wall that imposes a load of 130 kN per meter of wall length. Considering general shear failure, determine the following: 130 kN/mm 1.4 m a. Footing width if the factor of safety is 3. b. Ultimate bearing capacity if B = 0.95 m. C. New factor of safety. y = 17.92 kN/m² c = 14.5 kPa $ = 30° 1.5 m and has its hottom 2 m below the ground surface.

2. A square footing shown has a dimension of 1.5 m x 1.5 m and has its bottom 2 m below the ground surface. The groundwater table is located at a depth of 3 m below the ground surface. Assume a general shear failure. Determine the following: 2 m y = 16 kN/m³ c = 14.5 kPa → = 28° 3 m 1,5 m ysat 18.5 kN/m³ a. Ultimate bearing capacity of the soil beneath the footing (in kPa). b. Allowable bearing capacity if it has a factor of safety of 3 (in kPa). C. Allowable load that the footing could carry (in kN). d. Allowable net bearing capacity if factor of safety is 3. Allowable net load if factor of safety is 3.

Problem (11): A pipe discharges an unknown fluid into the atmosphere from a tank of depth (h) through a pipe of length (L), and diameter (d). Given the values of L [m], d [cm], and (h) [cm], calculate the discharge rate (Q) [lit/s] that would maintain Laminar flow in the pipe with a Reynolds number of Re-1500. Ignore minor losses. Givens: L = 139.364 m d = 12.614 cm h = 76.609 cm Answers: ( 1 ) 6.911 lit/s (2) 8.179 lit/s ( 3 ) 4.244 lit/s (4) 4.987 lit/s h d