An engineered wood beam (Figure 1) will replace a portion of a structural wall as part of a house renovation. The beam can be modeled as a simply supported beam with a span L = 18 ft and an uniform distributed load w = 835 lb/ft. The beam is to be constructed as an I-beam with nails securing the flanges to the web. The flanges are 6 in wide and 1 in thick. The web has depth 18 in and thickness 3 in. The maximum allowable shear stress in the web is 900 psi Part A Maximum shear load Assuming the joints do not fail, what is the maximum shear load the beam can support? Express your answer with appropriate units to three significant figures. ▸ View Available Hint(s)

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Part B - Shear Flow at Joint

Determine the maximum shear flow at the joints connecting the web and flange, given the applied load \( w = 835 \, \text{lb/ft} \).

**Instructions:** Express your answer with appropriate units to three significant figures.

- **Input Box:**
  - Label: \( q = \)
  - Fields to enter: Value, Units

- **Button:** Submit

#### Additional Features:
- Option to view hints is available.

---

### Part C - Maximum Nail Spacing

Given that the nails are joining the flanges to the web, they must resist the shear flow at the joint. Calculate the maximum spacing for the nails if each nail can support a shear force of 230 lb.

**Instructions:** Express your answer with appropriate units to three significant figures.

---

This task involves engineering principles related to shear forces and structural integrity calculations, often used in civil or mechanical engineering contexts.
Transcribed Image Text:### Part B - Shear Flow at Joint Determine the maximum shear flow at the joints connecting the web and flange, given the applied load \( w = 835 \, \text{lb/ft} \). **Instructions:** Express your answer with appropriate units to three significant figures. - **Input Box:** - Label: \( q = \) - Fields to enter: Value, Units - **Button:** Submit #### Additional Features: - Option to view hints is available. --- ### Part C - Maximum Nail Spacing Given that the nails are joining the flanges to the web, they must resist the shear flow at the joint. Calculate the maximum spacing for the nails if each nail can support a shear force of 230 lb. **Instructions:** Express your answer with appropriate units to three significant figures. --- This task involves engineering principles related to shear forces and structural integrity calculations, often used in civil or mechanical engineering contexts.
### Educational Content on Beam Design

#### Beam Design Overview

The diagram depicts an engineered wood beam (Figure 1) used in the renovation of a house. This beam is designed to replace a section of a structural wall. The beam is modeled as a simply supported beam with a length (L) of 18 feet. It is subjected to a uniform distributed load (w) of 835 lb/ft.

#### Beam Construction

- **Design**: Constructed as an I-beam
- **Connections**: Flanges are secured to the web with nails
- **Dimensions**: 
  - Flanges: 6 inches wide and 1 inch thick
  - Web: 18 inches in depth and 3 inches thick

#### Material Properties

- **Shear Stress**: The maximum allowable shear stress in the web is 900 psi.

#### Figure 1: Beam Diagram

- **Configuration**: Simply supported beam with two supports at either end.
- **Load Representation**: Arrows indicating uniform distributed load (w) across the span (L).
- **Cross-section**: Illustrates the I-beam shape showing flanges and web dimensions.

### Problem Statement

#### Part A - Maximum Shear Load

Calculate the maximum shear load the beam can support, assuming that the joints do not fail. Provide an answer with appropriate units and to three significant figures.

[View Available Hint(s)]
Transcribed Image Text:### Educational Content on Beam Design #### Beam Design Overview The diagram depicts an engineered wood beam (Figure 1) used in the renovation of a house. This beam is designed to replace a section of a structural wall. The beam is modeled as a simply supported beam with a length (L) of 18 feet. It is subjected to a uniform distributed load (w) of 835 lb/ft. #### Beam Construction - **Design**: Constructed as an I-beam - **Connections**: Flanges are secured to the web with nails - **Dimensions**: - Flanges: 6 inches wide and 1 inch thick - Web: 18 inches in depth and 3 inches thick #### Material Properties - **Shear Stress**: The maximum allowable shear stress in the web is 900 psi. #### Figure 1: Beam Diagram - **Configuration**: Simply supported beam with two supports at either end. - **Load Representation**: Arrows indicating uniform distributed load (w) across the span (L). - **Cross-section**: Illustrates the I-beam shape showing flanges and web dimensions. ### Problem Statement #### Part A - Maximum Shear Load Calculate the maximum shear load the beam can support, assuming that the joints do not fail. Provide an answer with appropriate units and to three significant figures. [View Available Hint(s)]
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