n this question, you will calculate the second moment of area for a 4 ✕ 6 piece of lumber about the x − x and y − y axes, as shown. A rectangle with height h and width w > h is centered on the origin of the x y-coordinate plane. The left and right sides of the rectangle, having height h, are parallel to the vertical y – y axis and the top and bottom sides, having width w, are parallel to the horizontal x – x axis. Visit a hardware store and measure the actual dimensions of a typical 4 ✕ 6 piece of lumber. (Enter your answers in inches.) h = in w = in Calculate the second moment of area about the x − x and y − y axes using the measured dimensions. (Enter your answers in in.4.) Ix – x = ______in4 Iy – y = ________in4

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter1: Introduction To Statics
Section: Chapter Questions
Problem 1.74P: It can be show that a plane area may he represented by a vector A=A, where A is the area and ...
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n this question, you will calculate the second moment of area for a 4 ✕ 6 piece of lumber about the x − x and y − y axes, as shown. A rectangle with height h and width w > h is centered on the origin of the x y-coordinate plane. The left and right sides of the rectangle, having height h, are parallel to the vertical y – y axis and the top and bottom sides, having width w, are parallel to the horizontal x – x axis. Visit a hardware store and measure the actual dimensions of a typical 4 ✕ 6 piece of lumber. (Enter your answers in inches.)

h = in

w = in

Calculate the second moment of area about the x − x and y − y axes using the measured dimensions. (Enter your answers in in.4.)

Ix – x = ______in4

Iy – y = ________in4

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