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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 pinended 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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