First Moment of Area about an Axis 2. Consider a homogenous plate made up of a semi-ellipse and a rectangle whose base is oflength 2b, which of the following statement(s) is/are TRUE?1. The y-axis is a centroidal axis• II. The first moment of the area about x is NONZERO.• III. The centroid of the plate is below the x-axis.I onlybyBACD+ Xr=4cm-4.00cm3bFor items 4 and 5, the composite area shown is formed by cutting a square out of a semi-circle.yX2cm2cmX4. Which of the following best approximates the first moment of the area about the x-axis?

Given: A composite area formed by cutting a square from a semi-circle. Radius of semi-circler=4 cm…

For items 4 and 5, the composite area shown is formed by cutting a square out of a semi-circle. y r=4cm 2cm 2cm X 4. Which of the following best approximates the first moment of the area about the x-axis? -4.00cm3 + X

For items 4 and 5, the composite area shown is formed by cutting a square out of a semi-circle. y r=4cm 2cm 2cm X 4. Which of the following best approximates the first moment of the area about the x-axis? -4.00cm3 + X

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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Question

First Moment of Area about an Axis

2. Consider a homogenous plate made up of a semi-ellipse and a rectangle whose base is of
length 2b, which of the following statement(s) is/are TRUE?
1. The y-axis is a centroidal axis
• II. The first moment of the area about x is NONZERO.
• III. The centroid of the plate is below the x-axis.
I only
b
y
BA
CD
+ X
r=4cm
-4.00cm3
b
For items 4 and 5, the composite area shown is formed by cutting a square out of a semi-circle.
y
X
2cm
2cm
X
4. Which of the following best approximates the first moment of the area about the x-axis?

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Step 3: Determination of centroid of the composite area

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Step 4: Determination of first moment of area about x-axis.

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