The W250 x 45 beam shown above has an allowable bending stress of ?????? = 150 MPa and an allowable shear stress of ?????? = 80 MPa. a) Draw the BMD and SFD of the beam and indicate ???? and ????. b) Determine if the W250 x 45 beam is sufficient to support the loads under bending. c) Determine if the W250 x 45 beam is sufficient to support the loads under shear. d) Overall, state if the W250 x 45 beam is appropriate for this particular application. If not, suggest an alternative section that you feel would be more suitable (and justify your choice).

Question 4 A 100mm diameter solid aluminium post is subjected to a bending moment of 2KNm, and a concentrated torque of 4kNm, and an axial tensile concentrated force of 100kN as shown in Figure Q4. (a) Determine the factor of safety if the von Mises (maximum distortion energy) criterion is considered (the yield stress in simple tension is 200MN/m²). (b) Without further calculations, suggest how this problem could be solved using other relevant failure criteria, considering (i) a brittle material and (ii) a ductile material with relevant examples of each. 2kNm b Figure Q4 4kNm 100KN

In the following beam system, the beam is subjected to uniform distributed load W = 25 lb /in. Assume a = 90-inch, b = 130-inch, C = 40 inch and d = 50 inch a)  Determine the resultant force produced at the pin C for the distributed load, W b)  What is the factor of safety that exists for pin C with respect to its fracture strength? assume that the pin at C fractures when the resultant force reaches a value 35000 lb.

For the beam and loading shown, check if the maximum bending stress is less than the allowable bending stress using the ASD approach. The self-weight of the beam is denoted "waw", and the steel beam is a "W10x26". Assume the beam has an allowable stress due to bending of 21 ksi. See the next page for section properties of the steel beam. Assume the steel cross-section is being bent about its "strong axis" - i.e. the "x-axis". PL = 5.0 kip Wsw B 10 ft