1. The non-prismatic cantilever beam shown below is supported with a triangular load. Determine the following, when o = 129 x 10*6 mm^4 and E = 200 GPa. Use Double Integration Method a) Shear Diagram. b) Moment Diagram. ) Deflection at point 8 d) Deflection at free end.. e) Rotation at free end. CIVIL EN 15 AN 10 kNim 2 1.

A beam is subjected to equal bending moments of M, = 4300 N-m. The cross-sectional dimensions are b = 140 mm, c = 35 mm, d = 68 mm, and t = 5 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), 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 H d (tур) K Answer: (a) y= i mm Iz = i mm4 S= i mm3 (b) ƠH MPa (c) OK = i MPa (d) Omax i MPa

The simply supported beam consists of a W530 × 66 structural steel wide-flange shape [E = 200 GPa; I = 351 × 106 mm4]. Assume w = 45 kN/m, L1 = 2.6 m, and L2 = 2.6 m. For the loading shown, determine:(a) the beam deflection at point B.(b) the beam deflection at point D. Part 6 Determine the component of the beam deflection at point D produced by the component of the rotation angle of the beam at point C due to only the portion of the uniformly distributed load w between the supports at point A and point C.Answer: vD1 =          mm. Part 7 Determine the component of the beam rotation angle at point C due to the moment produced at point C by the portion of the uniformly distributed load w between point C and point D.Answer: θC2=          rad.   Part 8 Determine the component of the beam deflection at point D due to the moment produced at point C by the portion of the uniformly distributed load w between point C and point D.Answer: vD2 =…