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 the4rcentroid of a semicircle is located above the base of the semicircle.3πyCUse the following values in your working out:bXa = 1.1 mb = 1.3 mc = 2.4 ma) Calculate the location of the centroid of this shape with respect to the axes shown.b) Calculate I and Ixy for this shape.IxXπrªc) Taking approximate dimensions, estimate Ix for the object shown below. If the superimposed axes are not perfectly alignedwith your object, you are welcome to assume that they are. Note that you are not expected to use more than three simpleshapes (eg. Rectangles, triangles, circles) to represent your object. Clearly state all assumptions. ozito XePOWERXCHANGE4.0Ah18V LION

Determine:Location of centroidIx and IxyNote: According to the guidelines, please post the third…

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Types and properties of steel

Steel is an alloy of iron. It is formed by heating iron and combining carbon (0.1-1.7%) with it and minor amounts of other elements such sulfur, chromium, manganese, nickel, etc. Thousands of steel grades have been published, registered, or regulated around the world, each with its chemical composition, and special numbering systems have been devised in various countries to classify the vast number of alloys.

Question

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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.

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