Column2 700mm 1 3m Beam2 4 3. 700mm+ Column1- 3 3 1 +350+ . 4 350 15. 2 2 2 Beam3 5m Beam1 1 11 4m 1050mm- 1050mm Column3 2025mm 450 2025mm 2025mm 450 2025mm 350 DO Sec 1-1 350 Sec 3-3 3016mm 2025mm 010mm 3016mm 2025mm 3016mm 2025mm 10mi 450 450 2025mm 350- 3016r Sec 2-2 350 - 010 3016mm Sec 4-4

While cutting a piece of paper, a person exerts the two indicated forces on a paper cutter. Reduce the two forces to an equivalent force-couple system at corner O and then specify the coordinates of the point P in the x-y plane through which the resultant of the two forces passes. The cutting surface is 28" x 28". 30 lb 13" A 4" 5 lb 1"

a) For the solid section shown in Figure Q1, determine dimensions a, b and c. b) Determine the centroid position (x, y) for the solid section shown in Figure Q1 relative to the origin O on the x-y axes. Clearly show the breakdown of the section into areas used in your calculations. y 85 mm 53 mm b 25 mm 157° 25 mm 65 mm Figure Q1 (Not to scale) X

8-7. A steel plate with holes cut in it is shown below. The plate has a thickness of t=6.35mm and density of 8000 g. Determine its centroid location using the bottom left corner as the origin. m Do M 7.46 cm 10.00 cm Figure 8-31 1.28 cm 4.91 cm 8.72 cm 5.83 cm [2.81 cm