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As shown, an area has a centroid located at point C. (Figure 1) The area's moment of inertia about the x' and y' centroidal axes are I z and I y , respectively. Consider the point O1 , which is located, relative to point C, a distance da in the negative x direction and dy1 in the positive y direction. Given that Ix1 is the moment of the area about the ¤1 axis, Iyı is the moment of the area about the y1 axis, J c is the polar moment of inertia about the centroid, and Joi is the polar moment of inertia about point O1 , sort the following expressions into the three categories below. Drag the appropriate items to their respective bins. Reset Help I, > I, ||In > I,| Joi > Iz |I1 > Joi Jc > Joi Jc > Iy|In > Iy|L >I True False More information needed

As shown, an area has a centroid located at point C. (Figure 1) The area's moment of inertia about the x' and y' centroidal axes are I z and I y , respectively. Consider the point O1 , which is located, relative to point C, a distance da in the negative x direction and dy1 in the positive y direction. Given that Ix1 is the moment of the area about the ¤1 axis, Iyı is the moment of the area about the y1 axis, J c is the polar moment of inertia about the centroid, and Joi is the polar moment of inertia about point O1 , sort the following expressions into the three categories below. Drag the appropriate items to their respective bins. Reset Help I, > I, ||In > I,| Joi > Iz |I1 > Joi Jc > Joi Jc > Iy|In > Iy|L >I True False More information needed

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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Part A Learning Goal: To be able to use the parallel-axis theorem to calculate the moment of inertia for an area. As shown, an area has a centroid located at point C. (Figure 1) The area's moment of inertia about the x' and y' The parallel-axis theorem can be used to find an area's moment of inertia about any axis that is parallel to an axis that passes through the centroid and whose moment of inertia is known. If x' and y' are the axes that pass through an area's centroid, the parallel-axis theorem for the moment about the x axis, moment about the y axis, and the polar moment of inertia is expressed by the following equations: Iw and I, y', respectively. Consider the point O1 , which is located, relative to point C, a distance dx1 in the negative x direction and dy1 in the positive y direction. Given that Ix1 is the moment of the area about the x1 axis, Iy1 is the moment of the area about the y1 axis, Jc is the polar moment of inertia about the centroid, and Joi is the polar moment of inertia about point O1 , sort the following expressions into the three categories below. centroidal axes are Drag the appropriate items to their respective bins. I = I z + Adž Reset Help Iy = I y + Ad? Jo = J c + Aď² Iw > I, Joi > I Il > Jo1 Jc > Joi C' y' Figure Jc > Iy In1 > Iy1 |I1 > I 1 of 1 True False More information needed X1 dy1
Transcribed Image Text:Part A Learning Goal: To be able to use the parallel-axis theorem to calculate the moment of inertia for an area. As shown, an area has a centroid located at point C. (Figure 1) The area's moment of inertia about the x' and y' The parallel-axis theorem can be used to find an area's moment of inertia about any axis that is parallel to an axis that passes through the centroid and whose moment of inertia is known. If x' and y' are the axes that pass through an area's centroid, the parallel-axis theorem for the moment about the x axis, moment about the y axis, and the polar moment of inertia is expressed by the following equations: Iw and I, y', respectively. Consider the point O1 , which is located, relative to point C, a distance dx1 in the negative x direction and dy1 in the positive y direction. Given that Ix1 is the moment of the area about the x1 axis, Iy1 is the moment of the area about the y1 axis, Jc is the polar moment of inertia about the centroid, and Joi is the polar moment of inertia about point O1 , sort the following expressions into the three categories below. centroidal axes are Drag the appropriate items to their respective bins. I = I z + Adž Reset Help Iy = I y + Ad? Jo = J c + Aď² Iw > I, Joi > I Il > Jo1 Jc > Joi C' y' Figure Jc > Iy In1 > Iy1 |I1 > I 1 of 1 True False More information needed X1 dy1
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