Solve it correctly please. I will rate accordingly yl mm-- 2 mm-- lz mmh, mmh, mmr mmOne have:- l1=38 mm, l2=48 mm, and l3=74 mm- h1=28 mm and h2=62 mm- r=14 mmDetermine the moment of inertia of this section about x-axis and y-axis. This last must be typed in the cell bellow

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Answered: Determine the moment of inertia of this…

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Mechanical Engineering

Determine the moment of inertia of this section about x-axis and y-axis. This last must be typed in the cell bellow

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...

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Figure (a) shows the cross section of a column that uses a structural shape known as W867 (wide-flange beam, nominally 8 in. deep, weighing 67 lb/ft). The American Institute of Steel Construction Structural Steel Handbook lists the following cross-sectional properties: A=19.7in.2,Ix=272in.4, and Iy=88.6in.4. Determine the dimensions of the rectangle in Fig. (b) that has the same Ix and Iy as a W867 section.
Use the given values in problem to answer the following: Find the moment of inertia and radius of gyration of the section of this bar about an axis parallel to x-axis going through the center of gravity of the bar. The bar is symmetrical about the axis parallel to y-axis and going through the center of gravity of the bar and about the axis parallel to z-axis and going through the center of gravity of the bar. The dimensions of the section are: l=51 mm, h=29 mm The triangle: hT=15 mm, lT=18 mm and the 2 circles: diameter=7.4 mm, hC=8 mm, dC=7 mm. A is the origin of the referential axis. Provide an organized table and explain all your steps to find the moment of inertia and radius of gyration about an axis parallel to x-axis and going through the center of gravity of the bar. Does the radius of gyration make sense? In the box below enter the y position of the center of gravity of the bar in mm with one decimal.
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ᴀ ʀᴇᴄᴛᴀɴɢᴜʟᴀʀ ʙᴀʀɢᴇ ɪꜱ 15 ꜰᴛ ᴡɪᴅᴇ ᴀɴᴅ 40 ꜰᴛ ʟᴏɴɢ ᴀɴᴅ ꜰʟᴏᴀᴛꜱ ᴡɪᴛʜ ᴀ ᴅʀᴀꜰᴛ (ꜱᴜʙᴍᴇʀɢᴇᴅ ʜᴇɪɢʜᴛ) ᴏꜰ 4 ꜰᴛ. ɪᴛ ɪꜱ ᴘɪʟᴇᴅ ꜱᴏ ʜɪɢʜ ᴡɪᴛʜ ɢʀᴀᴠᴇʟ ᴛʜᴀᴛ ɪᴛꜱ ᴄᴇɴᴛᴇʀ ᴏꜰ ɢʀᴀᴠɪᴛʏ ɪꜱ 3 ꜰᴛ ᴀʙᴏᴠᴇ ᴛʜᴇ ᴡᴀᴛᴇʀʟɪɴᴇ. ɪꜱ ɪᴛ ꜱᴛᴀʙʟᴇ ᴡɪᴛʜ ʀᴇꜱᴘᴇᴄᴛ ᴛᴏ ɪᴛꜱ ʀᴏʟʟ ꜱᴛᴀʙɪʟɪᴛʏ? ᴛʜᴇ ʀᴏʟʟ ᴀxɪꜱ ɪꜱ ᴘᴀʀᴀʟʟᴇʟ ᴛᴏ ᴛʜᴇ 40-ꜰᴛ ꜱɪᴅᴇ.Was it stable? or Unstable?
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Find the Moment of Inertia of the plate as shown in figure, passing through its centroid with reference to Y -Y axis. Where b1 = 55 mm, d1=110 mm, b2=160 mm, d2=30 mm, b3=65mm, d3=24mm. The value of is (unit in mm) = ______________ Answer for part 1 The value of is (unit in mm) = ______________ Answer for part 2 The value of total for the given plate is (unit in mm4) =________________ Answer for part 3
Find the moment of inertia and radius of gyration of the section of this bar about an axis parallel to x-axis going through the center of gravity of the bar. The bar is symmetrical about the axis parallel to y-axis and going through the center of gravity of the bar and about the axis parallel to z-axis and going through the center of gravity of the bar. The dimensions of the section are: l=55 mm, h=22 mm The triangle: hT=12 mm, lT=19 mm and the 2 circles: diameter=8 mm, hC=6 mm, dC=8 mm. A is the origin of the referential axis. Provide an organized table and explain all your steps to find the moment of inertia and radius of gyration about an axis parallel to x-axis and going through the center of gravity of the bar. Does the radius of gyration make sense? Enter the y position of the center of gravity of the bar in mm with one decimal.
Gives some 1 Example with solution about the Maximum and Minimum Moments of Inertia Using Mohr's Circle.