For the beam and loading shown in Figure 5, determine the value of w(r) at the point of action of the resuitant force of the distributed load using point B as the origin. Parabola Vertex 2000 N/m 900 N/m 6 m S Figure 5: A parabolic distributed load on a beam AB. Answer: If the loading were analysed using point A as the origin, would the value of w at the location of the resultant change?

A storage rack to hold the paper roll. Find force reactions and draw the shear and moment diagrams for the mandrel that extends half of the roll. Use singularity functions for this problem. Givens stanchion paper roll Density=984 kg/m^-3 OD=1.5 m ID=0.22 m L=3.23 m Density=mass/volume So W=(density*volume)*gravity Volume of hollow cylinder= (pi/4)(OD^2-ID^2)*Length of cylinder Length of mandrel=1/2 of L=>1.615 m mandrel base Assumptions: The storage rack is acting with a fixed support With a distributed load of "w" where w is the weight distrubuted

UNICARD Worksheet 10- Shear Force and Bending Moment Diagrams Question 3: (recommended time-30 minutes) Draw the shear force and bending moment diagrams for the beam given below. Determine the maximum bending moment in segment AB and its location from point A. Neglect the weight of the beam. Answer by following steps a to f, below. Ay 40 kN/m 20 kN B 150 kN·m 8 m 3 m a) Determine the support reactions at points A and B using the FBD of the entire beam. For OAx = 0 EM-0 +(By x8) (20 × 11)-(160 × 5,5)-150-0 By-152915 - (Ay +8) + (160 × 2,66)-150-60 = Ay 27.083 Ay Ax 5,3m 8m 160 20kN 150. b) How many segments are required to draw the shear and bending moment diagrams for the given beam? Name the segments. 2 Segments 5x 27,095 لاينا Segment SF 27,063 160 20 -5,3 Segment 152,915 Bending c) Express the shear force and bending moment as functions of x (the reference coordinate system is placed at point A) for segment AB and determine the shear force and bending moment at the points located…