Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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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\(^4\) [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.
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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.
### 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 \(
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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 \(
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Step 1: State the given data

Civil Engineering homework question answer, step 1, image 1

Civil Engineering homework question answer, step 1, image 2

Determine

a. Maximum positive and negative bending moment. 

b. Moment of inertia about centroid Z-axis. 

c. Maximum tensile and compressive stress. 


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