Section ab has an internal diameter of 20 mm

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Unformatted text preview: diameter of 20 mm. Determine the value of the torque QC such that the angle of twist at the end E is zero. (10 marks) External diameter of 40 mm Qc QE = 500 N.m A B 0.4 m C 0.2 m D 0.2 m 0.2 m Figure 2(b) 2 Diameter of 20 mm E ATTENTION: The Singapore Copyright Act applies to the use of this document. Nanyang Technological University Library MA2001/MP2001/AE2008 3. Figure 3 shows a pin-ended structure consisting of a steel bar AC of Young's modulus EAC 200 GPa and an aluminum bar BC of Young's modulus EBC 70 GPa . The bars are connected by pins of 8 mm diameter at the junction C, and the supports A and B along the horizontal ceiling. Both the bars AC and BC have the same length L 3 m and the same square cross section 16 mm 16 mm . A point load P 50 kN is applied vertically at C. Figure 3 (a) Determine the reaction forces at the supports and the maximum normal stress in each structural member. (8 marks) (b) Determine the angle at A after deformation and hence the horizontal displacement of the junction C (hint: Law of cosines is given by a 2 b 2 c 2 2bc cosA ). (12 marks) 4. An overhang beam is simply supported at A...
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