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A composite shape is constructed out of a semicircle, a rectangle, and a triangle, as shown below. The moment of inertia for a semicircle about an axis colinear with its base is shown below. You may use without proof that the 4r centroid of a semicircle is located above the base of the semicircle. 3πT y с Ix - 8A 1 -|∞ πr 4

A composite shape is constructed out of a semicircle, a rectangle, and a triangle, as shown below. The moment of inertia for a semicircle about an axis colinear with its base is shown below. You may use without proof that the 4r centroid of a semicircle is located above the base of the semicircle. 3πT y с Ix - 8A 1 -|∞ πr 4

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A composite shape is constructed out of a semicircle, a rectangle, and a triangle, as shown below. The moment of inertia for a semicircle about an axis colinear with its base is shown below. You may use without proof that the 4r centroid of a semicircle is located above the base of the semicircle. 3π y C Use the following values in your working out: b X a = 1.1 m b = 1.3 m c = 2.4 m a) Calculate the location of the centroid of this shape with respect to the axes shown. b) Calculate I and Ixy for this shape. Ix X πrª c) Taking approximate dimensions, estimate Ix for the object shown below. If the superimposed axes are not perfectly aligned with your object, you are welcome to assume that they are. Note that you are not expected to use more than three simple shapes (eg. Rectangles, triangles, circles) to represent your object. Clearly state all assumptions.
Transcribed Image Text:A composite shape is constructed out of a semicircle, a rectangle, and a triangle, as shown below. The moment of inertia for a semicircle about an axis colinear with its base is shown below. You may use without proof that the 4r centroid of a semicircle is located above the base of the semicircle. 3π y C Use the following values in your working out: b X a = 1.1 m b = 1.3 m c = 2.4 m a) Calculate the location of the centroid of this shape with respect to the axes shown. b) Calculate I and Ixy for this shape. Ix X πrª c) Taking approximate dimensions, estimate Ix for the object shown below. If the superimposed axes are not perfectly aligned with your object, you are welcome to assume that they are. Note that you are not expected to use more than three simple shapes (eg. Rectangles, triangles, circles) to represent your object. Clearly state all assumptions.
ozito Xe POWER XCHANGE 4.0Ah 18V LION
Transcribed Image Text:ozito Xe POWER XCHANGE 4.0Ah 18V LION
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