Use Slope-Deflection Method to solve for the following unknowns on the 150 mm x 250 mm steel beam shown in the figure below. Assume E = 200 GPa. a. Compute for the of the bending moment at member BC in kN-m, Mec. b. Compute for the value of the slope of the elastic curve at support A in degree, ӨА.

A beam is subjected to equal bending moments of M₂ = 3300 N-m. The cross-sectional dimensions are b = 190 mm, c = 26 mm, d = 75 mm, and t = 5 mm. Determine: (a) the centroid location, the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M₂ N y| M₂ (typ) Z- b H K d

A simply supported beam is subject to a downwards uniform distributed load, w, as shown below. B A uniform distributed load, w L1 L2 The cross-section of the beam is constant with second moment of area I = 3750 mm², and Young's elastic modulus is E = 200 GPa. The distributed load has magnitude w = 220 N/m. If Point B is distance L₁ (Point C), calculate: the downwards vertical deflection at Point B: C C 435 mm from the left end (Point A) and distance L2 = 385 mm from the right end Round your answer to 3 significant figures. X [Units: mm]

The figure shows a soil profile with a silty sand (y = 17 kN/m²; ysat = 19.2 kN/m3) underlain by high plasticity clay (ysat =18.8 kN/m³) and a peat layer (Ysat =15 kN/m³), followed by dense sand. To expedite consolidation and minimize future settlement, an additional 1.75-m thick fill material, compacted to a unit weight of 20.1 kN/m³, will be placed on top of the silty sand layer. The fill load will be left in place for 18 months, after which construction will begin over the compacted fill. Fill load (kN/m3) 1.5 m Silty sand GWT 1.5 m 3.2 m 4 m Clay V •A NPiezometer 1.8 m Peat Dense sand Undisturbed samples collected from the clay and organic Peat layers had the following properties: Layer C. C. c, (cm³/sec) Clay 0.31 0.048 0.006 1.08 Peat 7.2 0.273 0.029 6.4 Are the layers singly or doubly drained? Explain. Estimate the time for 99% primary consolidation in each layer. Estimate the total consolidation settlement under the action of the fill load. Consider both the clay and peat…