Tributary area formula **Title: Constructing Free Body Diagrams (FBDs) for Structural Joists and Beams****Objective:**This tutorial guides you through constructing Free Body Diagrams (FBDs) of typical 12-foot and 16-foot joists and the interior beam along grid line B. Additionally, you will learn to draw the FBD of the exterior beam on grid line A and solve for the support reactions in each constructed FBD.**Diagram Explanation:**- The main diagram shows a structural layout consisting of exterior and interior beams and joists positioned on bearing walls.- The **Exterior Beam** is marked on grid line A, and the **Interior Beam** is marked on grid line B.- **Joists** are laid out at regular intervals of 2 feet on center (o.c.) between the exterior and interior beams, spanning 12 feet and 16 feet.- Two main **Bearing Walls** support the structure on either side.**Side Section View:**- A section through the joists shows layers of a finish floor and sheathing overlying the joists.- The spacing of the joists is consistently 2 feet apart.**Load Information:**- **DL (Dead Load):** 10 pounds per square foot (psf)- **LL (Live Load):** 40 pounds per square foot (psf)**Procedure:**1. **Construct FBDs for 12-foot and 16-foot Joists:** - Examine forces and reactions on each joist caused by dead and live loads. - Represent the shear and bending moments typically experienced by joists under distributed loads.2. **Draw the FBD for the Interior Beam on Grid Line B:** - Consider the loads transferred from the 12-foot and 16-foot joists onto this beam. - Analyze reactions at supports and the resulting internal shear and bending profiles.3. **Draw the FBD for the Exterior Beam on Grid Line A:** - Similar to the interior beam, analyze load distribution from the joists and any additional external loads. - Include reaction forces at supports and detail internal force distribution.4. **Solve for Support Reactions:** - Calculate the support reactions for each beam based on equilibrium equations. - Validate balance of forces and moments for complete structural stability.**Conclusion:**With the constructed FBDs and solved reactions, you will be equipped to understand the load distribution and

Given data:DL = 10 psfLL = 40 psf (pounds per square feet)Solution:The total load = DL + LL = 10+40…

Construct FBD's of typical 12' and 16' joists and the interior beam along grid line B. Also, draw the FBD of the exterior beam on grid line A. Solve for the support reactions in each FBD constructed. Finish floor 2₁ Sheathing Joist 2₁ Section cut through joists Exterior beam 24 Bearing wall 16 Interior beam 12 Bearing wall Joista 2'-0" o.c. DL= 10 psf LL = 40 psf

Construct FBD's of typical 12' and 16' joists and the interior beam along grid line B. Also, draw the FBD of the exterior beam on grid line A. Solve for the support reactions in each FBD constructed. Finish floor 2₁ Sheathing Joist 2₁ Section cut through joists Exterior beam 24 Bearing wall 16 Interior beam 12 Bearing wall Joista 2'-0" o.c. DL= 10 psf LL = 40 psf

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

Tributary area formula

**Title: Constructing Free Body Diagrams (FBDs) for Structural Joists and Beams**

**Objective:**

This tutorial guides you through constructing Free Body Diagrams (FBDs) of typical 12-foot and 16-foot joists and the interior beam along grid line B. Additionally, you will learn to draw the FBD of the exterior beam on grid line A and solve for the support reactions in each constructed FBD.

**Diagram Explanation:**

- The main diagram shows a structural layout consisting of exterior and interior beams and joists positioned on bearing walls.
- The **Exterior Beam** is marked on grid line A, and the **Interior Beam** is marked on grid line B.
- **Joists** are laid out at regular intervals of 2 feet on center (o.c.) between the exterior and interior beams, spanning 12 feet and 16 feet.
- Two main **Bearing Walls** support the structure on either side.

**Side Section View:**

- A section through the joists shows layers of a finish floor and sheathing overlying the joists.
- The spacing of the joists is consistently 2 feet apart.

**Load Information:**

- **DL (Dead Load):** 10 pounds per square foot (psf)
- **LL (Live Load):** 40 pounds per square foot (psf)

**Procedure:**

1. **Construct FBDs for 12-foot and 16-foot Joists:**
- Examine forces and reactions on each joist caused by dead and live loads.
- Represent the shear and bending moments typically experienced by joists under distributed loads.

2. **Draw the FBD for the Interior Beam on Grid Line B:**
- Consider the loads transferred from the 12-foot and 16-foot joists onto this beam.
- Analyze reactions at supports and the resulting internal shear and bending profiles.

3. **Draw the FBD for the Exterior Beam on Grid Line A:**
- Similar to the interior beam, analyze load distribution from the joists and any additional external loads.
- Include reaction forces at supports and detail internal force distribution.

4. **Solve for Support Reactions:**
- Calculate the support reactions for each beam based on equilibrium equations.
- Validate balance of forces and moments for complete structural stability.

**Conclusion:**

With the constructed FBDs and solved reactions, you will be equipped to understand the load distribution and

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Step 3: Draw fbd of interior beam and calculate the reaction

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