2. Given: Structure shown below Find: (1) Orientation of the principal axes having an origin at C and (2) principal moments of inertia about these axes using Mohr's circle

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THE CENTROID OF THE PLANE REGION IS LOCATED AT C. IF THE AREA OF THE REGION IS 20OOMM2 AND ITS MOMENT OF INERTIA ABOUT THE X- AXIS IS IX =40 x 106 MM4, DETERMINE IU. dz = 70 mm Ce d = 90 mm DETERMINE lu (Unit: mm^4) Your answer Back Next Clear form

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Calculate the position of the centroid. Use the axes of the figure. It is possible to make the calculation from three geometric shapes only. Answer: Xc = 35.1 cm Yc= 18.3 cm

Calculate a) the position of the centroid b) the moment Ic, with respect to an axis passing through the centroid  c) the moment I with respect to the axis designated in the figure. Answer in the image

two images attached.

Compute the coordinates of the centroid (1,7) of the area shown. Also compute the area moment of intertia about the z' and y' axes with origin at the centroid. лу b с d h W. 3 พ kd→ b Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 14 mm 113 mm 18 mm 49 mm 99 mm 14 mm The z coordinate of the centroid is 2013 Michael Swanbom cc) 130 BY NC SA = mm. a h The y coordinate of the centroid is The moment of inertia about the z' axis going through the centroid is IT The moment of inertia about the y' axis going through the centroid is I mm. mm¹. mm4.

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Shown below is the cross-section of a bridge pier. Knowing that the cross-section is symmetric and that b = 3.2 m and d = 1.4 m, determine the moment of inertia about the X-X axis. Express your answer in mª to the nearest 0.001 mª. II b b/4 b/2 b/4 Y X- d/3 , d/3 , d/3| CI