The beam AB in the figure below supports a load which varies from an intensity of 50 lb per ft to 200 lb per ft. Calculate the magnitude and position of the resultant load. Hint #1: To draw the resultant of a varying load, solve for the area of shape. The dimensions are the length of the beam and the load intensities. The unit of solved area is lb. Hint #2: Replace the given loading by a uniformly distributed load (rectangle) of 50 lb per ft plus a triangular load varying from zero at A to 150 lb per ft at B. 50 lb/ft -12- 200 lb/ft

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Q: 0.5 ft B 23 Ibs 2 ft Pin support, 'A 81 lb ft couple moment in arrowed direction

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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.