2. (55 PTS) Given the I-beam and cross-section shown in the figure below (Hint: Think equivalent...

 

Transcribed Image Text:

2. (55 PTS) Given the I-beam and cross-section shown in the figure below (Hint: Think equivalent load): a. Draw the overall free body diagram for beam (figure 1) b. Find the reaction forces at E and the tension in the cable. c. Move the reaction forces at E and the tensile force at H to points D and G and draw the FBD of the beam with the equivalent loads in the diagram below (figure 3). d. Draw the shear and moment diagram for the entire beam. e. In Mechanics of Materials (ENME 220), you will use the internal moment, moment of inertia, and centroid (i.e. neutral axis) to find the bending stress in the beam. If the beams cross-section (figure 2) has the dimensions shown, find the location of the centroid y, and the Moment of Inertia about the centroidal axis (I.e. Ix). For a rectangle = 1 -bh 12 26 in. 6 in. 0.5 in. 30.5 in. B 0.5 in 75 lb 150 lb H 75 lb 3 in. 8 in. F B 10 in. G y 8 in. E 12 in. 12 in.- Figure 1 8 in. Figure 3 y 0.5 in. x Figure 2 2. (55 PTS) Given the I-beam and cross-section shown in the figure below (Hint: Think equivalent load): a. Draw the overall free body diagram for beam (figure 1) b. Find the reaction forces at E and the tension in the cable. c. Move the reaction forces at E and the tensile force at H to points D and G and draw the FBD of the beam with the equivalent loads in the diagram below (figure 3). d. Draw the shear and moment diagram for the entire beam. e. In Mechanics of Materials (ENME 220), you will use the internal moment, moment of inertia, and centroid (i.e. neutral axis) to find the bending stress in the beam. If the beams cross-section (figure 2) has the dimensions shown, find the location of the centroid y, and the Moment of Inertia about the centroidal axis (I.e. Ix). For a rectangle = 1 -bh 12 26 in. 6 in. 0.5 in. 30.5 in. B 0.5 in 75 lb 150 lb H 75 lb 3 in. 8 in. F B 10 in. G y 8 in. E 12 in. 12 in.- Figure 1 8 in. Figure 3 y 0.5 in. x Figure 2