A 5-in.-diameter pipe is supported every 9 ft by a small frame consisting of two members as shown. Knowing that the combined weight of the pipe and its contents is 22.22 lb/ft and neglecting the effect of friction, determine the magnitude and location of the maximum bending moment in member AC.

Q: A simply supported beam with a span of 12m has a concentrated load of 12 kN located 5m from its…

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Q: 10 AN/m 25 kN m E B I m 3 m 2 m- FIG. P4.31

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Q: 150 mm 150 mm C B 400 mm 600 mm

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Q: 30 kN 40 kN 10 kN/m 2 m 2 m FIG. P4.38

A: Solution is attached below:

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A: The given beam can be represented as  -

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A: In this problem, the supports are replaced by reactions as shown in Fig.1

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.