The horizontal x-axis is drawn through the centroid \( C \) of the area shown, and it divides the area into two component areas \( A_1 \) and \( A_2 \). Determine the first moment of each component of area with respect to the x-axis if \( w = 46 \) mm and \( b = 23 \) mm.### Diagram DescriptionThe diagram is composed of two distinct areas: \( A_1 \) and \( A_2 \). - Area \( A_1 \) is a horizontal rectangle at the top, with a width \( w = 46 \) mm and a height of 20 mm.- Area \( A_2 \) is a vertical rectangle extending downward, with a width \( b = 23 \) mm and a height of 65 mm.- The centroid \( C \) lies at the intersection of the x-axis and y-axis, positioned in the middle.The diagram dimensions are provided in millimeters.### Calculations**The first moment of the area above the x-axis is:** \[ \text{(input field)} \times 10^3 \, \text{mm}^3 \]**The first moment of the area below the x-axis is:** \[ \text{(input field)} \times 10^3 \, \text{mm}^3 \]

Given: The value of w is 46 mm. The value of b is 23 mm. Consider the figure,

The horizontal x-axis is drawn through the centroid Cof the area shown, and it divides the area into two component areas Ajand A2. Determine the first moment of each component of area with respect to the x-axis if w= 46 mm and b= 23 mm. -w 20 A1 15 C 65 A b Dimensions in mm

The horizontal x-axis is drawn through the centroid Cof the area shown, and it divides the area into two component areas Ajand A2. Determine the first moment of each component of area with respect to the x-axis if w= 46 mm and b= 23 mm. -w 20 A1 15 C 65 A b Dimensions in mm

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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Concept explainers

Types and properties of steel

Steel is an alloy of iron. It is formed by heating iron and combining carbon (0.1-1.7%) with it and minor amounts of other elements such sulfur, chromium, manganese, nickel, etc. Thousands of steel grades have been published, registered, or regulated around the world, each with its chemical composition, and special numbering systems have been devised in various countries to classify the vast number of alloys.

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The horizontal x-axis is drawn through the centroid \( C \) of the area shown, and it divides the area into two component areas \( A_1 \) and \( A_2 \). Determine the first moment of each component of area with respect to the x-axis if \( w = 46 \) mm and \( b = 23 \) mm.

### Diagram Description

The diagram is composed of two distinct areas: \( A_1 \) and \( A_2 \).

- Area \( A_1 \) is a horizontal rectangle at the top, with a width \( w = 46 \) mm and a height of 20 mm.
- Area \( A_2 \) is a vertical rectangle extending downward, with a width \( b = 23 \) mm and a height of 65 mm.
- The centroid \( C \) lies at the intersection of the x-axis and y-axis, positioned in the middle.

The diagram dimensions are provided in millimeters.

### Calculations

**The first moment of the area above the x-axis is:**
\[ \text{(input field)} \times 10^3 \, \text{mm}^3 \]

**The first moment of the area below the x-axis is:**
\[ \text{(input field)} \times 10^3 \, \text{mm}^3 \]

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