Answer Happy

1. (40 Points) The beam in Figure (b) below is fabricated from 3 rectangular pieces, as shown in the cross-section. The loading on the bean is shown in figure (a). The distances in Figure (a) are all measured in meters. For the loading shown: i) Determine the support reactions RA and RB, ii) Draw the Shear Force and Bending Moment diagrams, and iii) Find the Centroid and the Moment of Inertia of the composite beam. iv) Compute maximum stress due to bending (careful with units). Recall that the *c in your Flexure formula is the largest vertical distance from the centroid to the outer surface of the beam. 40 KN 10 KN 10 KN 10 KN 2.5 m 2.5 m 2.5 m B (a) Beam loading R A RB 35 cm I 5 cm 5 cm 35 cm 5 cm 25 cm b) Beam Cross-section