For the area shown, determine the following. a. Find the rectangular moments of inertia Ix and ly, the polar moment of inertia Jo, and the radii of gyration kx, ky, and ko. Y (6, 18) b. Find the centroid of the area (x, y). c. Using the theorem of Pappus and Guldinus, determine the volume obtained by rotating the area about the y-axis. 2 y = x2 Coordinates are in units of inches.

For the area shown, determine the following. a. Find the rectangular moments of inertia Ix and ly, the polar moment of inertia Jo, and the radii of gyration kx, ky, and ko. Y (6, 18) b. Find the centroid of the area (x, y). c. Using the theorem of Pappus and Guldinus, determine the volume obtained by rotating the area about the y-axis. 2 y = x2 Coordinates are in units of inches.

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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Graphical Methods

The graphical method is a method of solving equations involving more than one variable using the Cartesian coordinate system. In civil engineering, the use of the graphical method is limited to the problems involving two variables. The graphical method has a great impact in solving the questions regarding engineering mechanics.

Question

For the area shown, determine the following.
a. Find the rectangular moments of inertia Ix
and ly, the polar moment of inertia Jo, and
the radii of gyration kx, ky, and ko.
Y
(6, 18)
b. Find the centroid of the area (x, y).
c. Using the theorem of Pappus and
Guldinus, determine the volume obtained
by rotating the area about the y-axis.
2 y = x2
Coordinates are in units of inches.

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