2. For the beam shown, derive the expression for V and M. 120 N/m A B 8m- 6 m
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- A beam is carrying a moment M as indicated. The cross section of the beam is symmetric about the z axis. The dimensions of the cross section and the location of the centroid (point C) are shown. Knowing that Iy = 280,000 mm4, Iz = 150,000 mm4, and M = 400,000 + UV in N.mm, where UV is 21(a) Calculate the components of the bending moment on the y and z axes, Myand Mz.(b) Identify which point at the cross section has the largest tensile stress, and which point at the cross section has the largest compressive stress.(c) Calculate the maximum tensile stress and the maximum compressive stress in the cross sectionFor the beam and loading shown, determine the reac-tion at the roller support.For the beam shown, use the Area Moment Method to determine in terms of W, L, E, and I: The rotations at points A and B Deflection of point C
- For the beam shown, determine the value of the EIy at midspan.A cantilever beam is subjected to a concentrated load of 2000N. The cross sectional dimensions of the double-tee beam are shown. Determine (a) the shear stress at point H, which is 17 mm below the centroid of the double-tee shape, (b) the shear stress at point K, which is 5 mm above the centroid of the double tee shape, and (c) the maximum horisontal shear stress in the double tee shape.For the beam and its shear diagram shown below, the distance x is measured from the left end of the beam. The maximum moment occurs where x is ?
- A vertical loads of 400 N acts at the end of a horizontal rectangular cantilever beam 2 m long and 25 mm wide. If the allowable bending stress is 130 MN/m^2, find the depth of the beam in mmDraw the shear stress diagram and bending moment diagram for a beam with the free body diagram shown below. Identify the location of critical point(s) in the beam. Given AB = 0.5 m, BC = 0.6 mm, and CD = 0.5 m.Determine the most critical point of the beam shown below in terms of bending moment.