part 4 and 5 please
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
part 4 and 5 please
![**Part 4**
Calculate the moment of inertia for the entire cross-section about its z centroidal axis.
- **Answer:**
\( I_z = \) [Input Field] in\(^4\)
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---
**Part 5**
Enter the maximum positive and negative bending moments for the beam. One method for determining these would be to begin by drawing shear-force and bending-moment diagrams for the beam on a piece of paper. Be sure to use the sign conventions from Section 7.1. Determine the maximum positive and negative bending moments from your bending-moment diagram. The "maximum negative bending moment" is the negative bending moment with the largest magnitude. Enter the maximum negative moment as a negative value here.
- **Answers:**
- \( M_{\text{max}+} = \) [Input Field] lb-ft
- \( M_{\text{max}-} = \) [Input Field] lb-ft
Note: There are no graphs or diagrams included in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F99e37c92-095a-4cae-adf6-01aeaaa5668c%2F54c3f178-580b-4941-9c9a-aa4c3d9bfd58%2Fnwhsqnx_processed.png&w=3840&q=75)
Transcribed Image Text:**Part 4**
Calculate the moment of inertia for the entire cross-section about its z centroidal axis.
- **Answer:**
\( I_z = \) [Input Field] in\(^4\)
[Button: eTextbook and Media]
[Button: Save for Later]
[Button: Submit Answer]
---
**Part 5**
Enter the maximum positive and negative bending moments for the beam. One method for determining these would be to begin by drawing shear-force and bending-moment diagrams for the beam on a piece of paper. Be sure to use the sign conventions from Section 7.1. Determine the maximum positive and negative bending moments from your bending-moment diagram. The "maximum negative bending moment" is the negative bending moment with the largest magnitude. Enter the maximum negative moment as a negative value here.
- **Answers:**
- \( M_{\text{max}+} = \) [Input Field] lb-ft
- \( M_{\text{max}-} = \) [Input Field] lb-ft
Note: There are no graphs or diagrams included in the image.

Transcribed Image Text:### Beam Analysis for Engineering Education
A channel shape is used to support the loads shown on the beam. The dimensions of the shape are also shown. Assume:
- \( L_{AB} = 3 \) ft,
- \( L_{BC} = 9 \) ft,
- \( P = 2300 \) lb,
- \( w = 1100 \) lb/ft,
- \( b = 16 \) in.,
- \( d = 10 \) in.,
- \( t = 0.500 \) in.
Consider the entire 12-ft length of the beam and determine:
- (a) the maximum tension bending stress at any location along the beam, and
- (b) the maximum compression bending stress at any location along the beam.
#### Diagram and Description
**Diagram Components:**
1. **Beam Diagram:**
- A horizontal beam is shown resting on supports at points A and C.
- A downward point load \( P \) is applied at the leftmost end, and a uniform distributed load \( w \) acts across the distance leading to point C.
- \( L_{AB} \) is the distance between points A and B, and \( L_{BC} \) is the distance between points B and C.
2. **Cross-Sectional View:**
- Displays the shape of the channel used for the beam.
- Labeled dimensions include:
- Width (\( b \)) of the channel.
- Height (\( d \)) of the vertical stems of the channel.
- Thickness (\( t \)) of the channel material.
#### Cross-Sectional Area Analysis
The cross-sectional area is divided into three parts:
1. **Top Horizontal Flange:**
- Rectangular cross-section: \( 16 \) in. x \( 0.500 \) in.
2. **Left Vertical Stem:**
- Rectangular cross-section: \( 0.500 \) in. x \( 9.5 \) in.
3. **Right Vertical Stem:**
- Rectangular cross-section: \( 0.500 \) in. x \( 9.5 \) in.
#### Centroid Calculation Instructions
To find the areas and the centroid locations in the y-direction for each part, follow these steps:
- Enter the centroid locations, \( y_1, y_2, \) and \(
Expert Solution

Step 1: State the given data
Determine
a. Maximum positive and negative bending moment.
b. Moment of inertia about centroid Z-axis.
c. Maximum tensile and compressive stress.
Step by step
Solved in 10 steps with 13 images
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