A box is produced by joining the wooden and plywood rectangular elements with screws as shown in the section. The shear force that each screw used in the cross section joint can safely carry is V = 2 kN. If the beam element created in this way is loaded from the middle of the span with a load of P = 100 kN, find the screw gap a and the total number of screws to be used in the beam element. (Cross-section dimensions t = 15mm, b = 150mm, c = 30mm, h = 180mm; beam support span L = 5m)

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A: Explanation: The stepwise procedure to solve this problem is shown in the following attached image:

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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.