Question: A solid stepped steel (E = 200 GPa and G=80 GPa) shaft is subjected to a torque at B and an axial load at

A solid stepped steel (E = 200 GPa and G=80 GPa) shaft

A solid stepped steel (E = 200 GPa and G=80 GPa) shaft is subjected to a torque at B and an axial load at the free end of the shaft as shown in Figure Q4 (a). Determine the total strain energy stored in the entire shaft. Diameters DAB = 25 mm DBC = 15 mm 400 B Figure Q4 (b) 5 kN.m 300 mm Figure Q4 (a) 3kN A road lighting structure is subjected to a wind load while supporting the weight of the lanp. For analysis, the road lighting structure shown in Figure Q4 (b) is simplified to the one shown in Figure Q4 (c). The elastic main structure ABC is fully fixed at point A and the total weight of the structure can be ignored. By using Castigliano's second theorem determine the vertical and horizontal deflections of point C. Neglect the strain energy due to shear force. 10 N/m 5.5m 1.5 m (3 marks) Figure Q4 (c) (7 marks) C 10 N

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Castiglianos second theorem states that the deflection of a structure at a point where a load is applied is equal to the partial derivative of the strain energy of the structure with respect to that l... View full answer

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