Problem 1. From the given beam and loading in the figure. a. Determine the neutral axis of the beam measured from the bottom of the beam. b. Determine the centroidal moment of inertia. c. Determine the largest value of P if the allowable normal stress in tension is 80 MPa and 140 MPa in compression. 96 mm 12 mm T 12 mm 48 mm 0.25 m 0.5 m 0.15 m

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Below presents a continuous beam with A being fixed and B is pinned and C has a roller. Take: E = 200 GPa 1 = 8 x 106mm Load = 2 kN A 5m B Using the following method: 2 KN + 2m + 2m |- You are tasked to analyze the continuous beam by calculating the: > the displacement on the beam at B and C and > the reaction at the supports Matrix Structural Analysis Use the following steps as a guide to analyze the beam: Matrix Structural Analysis ✓ Produce Notations ✓ Establish the known displacements and known external load ✓ Produce Member Stiffness Matrix ✓ Displacement and Load ✓ Calculating the displacement Calculating the reaction at the support

The cross-sectional dimensions of a beam are shown in the figure. (a) If the bending stress at point K is 35 MPa (C), determine the internal bending moment Mz acting about the z centroidal axis of the beam. (b) Determine the bending stress at point H. The bending stress is positive if in tension and negative if in compression. 85 mm 4 mm TT K 55 mm H 4 mm 45 mm 4 mm Answers: (a) Mz = UN-m (b) OH = JMPA