A steel cantilever beam, of length L=1 m, has a hollow rectangular cross-section, see Figure Q3. The outside width and height of the rectangular cross-section are b=140 mm and h=299 mm, respectively, and the wall thickness is 8 mm. A point force of P=221 kN is applied at the free end of the cantilever beam. The yield strength of the steel is [σ] = 324 MPa. The coordinates of Point H are x=-75 mm, y=0 mm, z= -66 mm. F L 8 mm 75 mm H X N

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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.