The value of P is 412
Question 2: Combined Stresses and Mohr's Circle (30 Marks) A short and hollow cylindrical bar, having an outer diameter of 100 mm and an inner diameter of 85 mm, is subjected to two simultaneous loads - an axial compressive force of 300 + P/1000 kN and a torsional moment of 2000 + P/1000 KN . mm. You are required to investigate two stress states on the two points, which are in the outer and inner surfaces of the bar, respectively, and provide the following information: (a) Sketch the bar with clearly indicating these two points of interest in it; (b) Determine the stress states for two points on the outer and inner surfaces of the bar, respectively. (c) Draw two Mohr's circle for both two elements.
APPENDIX 1 Properties of Areas A area 1 = moment of inertia S = section modulus r-radius of gyration – VIVA J - polar moment of inertia 2, - polar section modulus (a) Circle A = D14 I = D+/64 S = D/32 FD/4 J = */32 2 = D/16 (b) Hollow circle (tube) ra 4 D (D+d) A = (D-d%)/4 1 = (D-764 J = T(Dº-dy32 S-(D-dy32D 2,= (D* - *)/16D
The value of P is 412
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