You are asked to find the centroid of a steel plate with the dimensions shown. In other words, x and y for shaded area using the given x-y axis as your point of reference. 2m y 2.5m u 89'0 = 2 '40=x: part: A 3 r = 2m 4m או Xi Vi Axi Ayi
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- Figure (a) shows the cross section of a column that uses a structural shape known as W867 (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7in.2,Ix=272in.4, and Iy=88.6in.4. Determine the dimensions of the rectangle in Fig. (b) that has the same Ix and Iy as a W867 section.The equation of the catenary shown is y = 100 cosh (x/100) where x and y are measured in feet (the catenary is the shape of a cable suspended between two points). Locate the y-coordinate 0f the centroid of the catenary by numerical integration using x=25ft.Given that P=120lb and Q=130lb, find the rectangular representation of P+Q.
- 3: Draw three projection of two bodies shown. and write dimensions 30 30 90 60 R30 20 15 R15 20 60 60 120 80 HW-9A line RS of 55 mm in length is inclined to HP by 30o and parallel to VP. One of its end points is above HP by 20 mm and in front of VP by 30 mm. The line is in single quadrant. Find the projections of the line RS and find out its horizontal trace.Q1. (20’) Consider the shaded square region on the s-plane, as shown in Fig. Q1. Let p = -Ço, + j@, J1-5², S'- plane 4j find (a). the p location with largest @, . (b). the p location with smallest @, . (c). the p location with largest 5 (d). the p location with smallest 5. -3 Fig. Q1
- i need the isometric of this projectionFor the area below, evaluate 1. The (x,y) coordinates of the centroid (please mark your origin or reference point on the diagram) 2. The 2nd moments and product of area in centroidal-based xy (horizontal-vertical) coordinates 3. The principal 2nd moments of area, and the direction of the first principal axis relative to the horizontal (x) axis (anticlockwise positive) 50 75 30 150 60 50 15 Figure 1: Cross section (all dimensions in mm) Quantity Xc (please mark your origin on the diagram) Yc (please mark your origin on the diagram) Ix ly Ixv I₁ I₂ a1 (please show the direction) Value 30 Units50 mm 150 mm 150 mm 300 mm find the moment of inertia for this exercise, with the following formulas: Polar Jo= Iox + + Toy Iox - Icx + Adg² Toy = Icg + dobe ² Caculation of centroid attached below. use it to solve the question in red box asap Som Av 3com for Portion A₁ - the figure is symme about y-aris. 2=0. AL 120mm AALD Area of A₁ = 300x50 = 15000 Y₁ = y₁ y = 300 for Pation A2 Area Az = 50x300 = 15000 By Considering Centroid, from the Bottom of the section. 300+ 50 = ₁ + 3/2 = 325 Centroid (ā, y) = = [0₁ SE = 50mm A, Ya+ A₂4 0, A₁+A₂ 15000x150 +15000x325 15000 15000 (0.237.5)
- b) Draw the projections of a cylinder of 75 mm diameter and 100 mm long lying on the ground with itsaxis inclined at 30 0 to VP and parallel to the ground.Q. 2 Find the pasition of centraid with respect to given X and Y akis af shaded portian in the following figure: 225A vector B is 10 cm. long and has a direction – sense of 45°. Vector C is 15 cm. Iong and has a direction sense of 150°, Find the vector sum or resultant magnitude and its direction by; y 1. Mathematical Solution, 2. Graphical Solution. Scale: 1:1 cm. 3. Draw the position of resultant. 1500 в 0450