Learning Goal:To be able to use the parallel-axis theorem to calculatethe moment of inertia for an area.The parallel-axis theorem can be used to find an area'smoment of inertia about any axis that is parallel to anaxis that passes through the centroid and whosemoment of inertia is known. If x' and y' are the axesthat pass through an area's centroid, the parallel-axistheorem for the moment about the x axis, momentabout the y axis, and the polar moment of inertia isexpressed by the following equations:I₁=I₂+Ad²Figure11->>b< 2 of 3KIL> Part BAs shown, a rectangle has a base of b = 5.80 ft and a height of h = 2.70 ft. (Figure 2) The rectangle's bottom islocated at a distance y₁ = 1.60 ft from the x axis, and the rectangle's left edge is located at a distance x₁ = 2.50 ftfrom the y axis. What are I, and Iy, the area's moments of inertia, about the x and y axes, respectively?Express your answers numerically in biquadratic feet (feet to the fourth power) to three significant figuresseparated by a comma.►View Available Hint(s)IT, Iy=VO ΑΣΦAMEvecft4

Answered: Image /qna-images/answer/0c25fa41-d16f-4842-9820-994ec769d403.jpg

Learning Goal: To be able to use the parallel-axis theorem to calculate the moment of inertia for an area. 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: I₂ = Īr + Ad² Figure 151 'C < 2 of 3 >

Learning Goal: To be able to use the parallel-axis theorem to calculate the moment of inertia for an area. 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: I₂ = Īr + Ad² Figure 151 'C < 2 of 3 >

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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