2) For the following beam with a rectangular (1" x 2") cross-section, a) find the unknown reactions and draw the shear and bending moment diagrams. Label them properly. b) find the location and magnitudes of maximum normal bending stress and transverse shear stress. c) find the magnitudes of normal bending stress and transverse shear stress due to V at a point of interest located at 0.5" above the neutral axis. (point A) 300 lbf/in 400 lbf 1" 20" 5" 15" N. A. 2"

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Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.