MCEN2000 : Fundamentals of Strength of Materials Determine the x- and y-Coordinate Positions - Engineering Assignment Help

Assignment Task:

Task:

Question 1 With reference to Figure 1,

(a) Determine the x- and y-coordinate positions of the centroid of the shaded cross sectional area. (10 Marks)

(b) Calculate the second moment of area about its centroidal x-axis. (10 Marks) (Total 20 Marks) 20 mm 40 mm 120 mm160 mm 40 mm 80 mm x y Figure 1 Page 3 of 8 Fundamentals of Strength of Materials End of Semester 1 Examinations (MCEN2000) June 2016

Question 2 Figure 2 shows a simply supported beam structure with a load system consisting of three uniformly distributed loads, one clockwise acting couple acting at location B and one anti-clockwise acting couple at location D.

(a) Calculate the reaction forces at the supports A and C. (4 Marks)

(b) Sketch the shear force diagram and calculate the shear force value at locations where the significant changes occur. (8 Marks) (c) Sketch the bending moment diagram and calculate the values for the maximum and minimum bending moments. (8 Marks) (Total 20 Marks) 5 kN/m 35 kN/m 20 kN/m 4 m 1 m 2 m A B C D Figure 2 20 kNm 15 kNm

Question 3 (a) The steel band is 50 mm wide and is secured around the smooth rigid cylinder as shown in Figure

3. Elastic modulus of steel is 203 GPa. If the bolts are tightened so that the tension in them is 1800 N, determine:

i. The normal stress in the band

, ii. The pressure exerted on the cylinder, and iii. The distance half the band stretches

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