A 0.5 m-long metal composite shaft AB consists of a steel rod (radius r=25 mm), the outer surface of which is bonded to the inner surface of an aluminum tube (outer radius ro=37.5 mm). The shaft has the geometry and cross section shown below. One end (B) of the shaft is fixed onto a rigid wall while the other end (A) is subjected to an external torque T₁=350 N-m. Take Gst=78 GPa for the steel rod and GA=28 GPa for the aluminum tube. psiquia od yd (2) alum. A ΦΑ B TA L A (1) steel Cross section Figure 2.1. Composite shaft with external torque Tâ do (a) Find the angle of twist at A (§Â) due to T₁. (b) Find the maximum shear stress in the steel rod. (c) Find the maximum shear stress in the aluminum tube. (d) If the allowable angle of twist is (A)allow=10³ rad, determine the maximum length the shaft can have when subjected to T₁=350 N-m at the free end.

Q: could you pls provide part D and E

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Q: Hi, can you help by explaining Part D above?

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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.