For the figure below i was able to find the correct answer, but I want to find the answer to the problem on the left. It is the same just that an 16mm * 8mm square is removed.I know I can use my finding and subtract the rectangle using the formula under it. please show math please! Determine the moments of inertia I, and Iy of the area shown about vertical and horizontal axes running through the centroid of thearea, if b= 42 mm.АAleThe value of Ī, isxThe value of Iyis42 mm28 mm.B558238X103 mm²103 mm4.mm4.A16mm8mmB42mmB42mm28mm RectangleXTx = 1/2 bh³Ty ==b³h121x = = bh³1₂ = -b³hJc = = 2 bh(b²+h²)12

Answered: Image /qna-images/answer/434bd35a-633c-4fe4-b7fb-cd1131793090.jpg

Determine the moments of inertia I, and I of the area shown about vertical and horizontal axes running through the centroid of the rea, if b= 42 mm. A b The value of I, is The value of I, is 42 mm 28 mm B 558 238 x 103 mm4. x 10³ mm4. AF 42mm 16mm PE 8mm B 42mm A B 28mm

Determine the moments of inertia I, and I of the area shown about vertical and horizontal axes running through the centroid of the rea, if b= 42 mm. A b The value of I, is The value of I, is 42 mm 28 mm B 558 238 x 103 mm4. x 10³ mm4. AF 42mm 16mm PE 8mm B 42mm A B 28mm

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter7: Deflections Of Trusses, Beams, And Frames: Work-energy Methods

Section: Chapter Questions

Problem 30P

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Concept explainers

Moments

There are various practical applications of the concept of moments, like a rotation of the crank due to linear motion of the piston, the moment of inertia and its use in designing beams and columns, bending moment concept, torque, twisting moment, etc.

Question

For the figure below i was able to find the correct answer, but I want to find the answer to the problem on the left. It is the same just that an 16mm * 8mm square is removed.

I know I can use my finding and subtract the rectangle using the formula under it.

please show math please!

Determine the moments of inertia I, and Iy of the area shown about vertical and horizontal axes running through the centroid of the
area, if b= 42 mm.
А
Ale
The value of Ī, is
x
The value of Iy
is
42 mm
28 mm.
B
558
238
X
103 mm²
103 mm4.
mm4.
A
16mm
8mm
B
42mm
B
42mm
28mm

Rectangle
X
Tx = 1/2 bh³
Ty ==b³h
12
1x = = bh³
1₂ = -b³h
Jc = = 2 bh(b²+h²)
12

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