1. A beam of length L is simply supported shown as follows. A concentrated force F is applied at point A. The cross section of the beam is a rectangular with sides a and b. Please determine: 1) The shear force diagram and the bending moment diagram of the beam. 2) Determine the normal stress distribution on cross section B. Specify the locations and magnitudes of the max. tensile/compressive stress on cross section B. 3) Find the location and the magnitude of the max. bending stress ON THE BEAM. For simplicity, transverse shear stress is neglected. 4) Find the location and magnitude of the max. transverse shear stress on cross section B. F B

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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.