Replace the force system acting on the pipe assembly by a resultant force FR and couple moment MRO at point O as shown in (Figure 1). Take F₁ = {-25i-15j +20k}lb, F2 = {-10i+20j + 15k}lb. 7 ▼ Part A FRZ. FRy, FR== Part B 2 ft Determine the resultant force FR. Enter the x, y, and z components of the force separated by commas. Express your answer in pounds to three significant figures. 15| ΑΣΦ | 11 | vec MROZ, MRoy MRO, = 0 2 ft vec 2 ft 195| ΑΣΦ | 41 Determine the couple moment Mro. Enter the x, y, and z components of the moment separated by commas. Express your answers in pound-feet to three significant figures. → ? lb J? lb.

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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.