Calculate the instantaneous deflections for the dead and live loads shown. Use Fy = 60,000 psi, Fc=

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Calculate the instantaneous deflections for the dead and live loads shown.

Use Fy = 60,000 psi, Fc= 4000 psi n= 8

### Problem 6.6

**Description:**
The image consists of a problem statement involving a horizontally fixed beam supported at one end. The beam is subjected to a uniform distributed load and a point load.

**Diagram Details:**

1. **Beam Representation (Left-Side Diagram):**
   - **Point Load (P_L):** A point load of 20 kips (20 k) is acting downward at the free end of the beam.
   - **Distributed Load (w_D):** A uniform distributed load with an intensity of 2 kips per foot (2 k/ft) is applied over the entire length of the beam.
   - **Beam Length:** The length of the beam is 18 feet (18 ft).

2. **Cross-Section of Beam (Right-Side Diagram):**
   - The cross-section of the beam is rectangular with a height of 32 inches (32 in.) and a width of 16 inches (16 in.).
   - **Reinforcement Details:**
     - Six #11 bars are placed in the cross-section.
     - Vertical space measurements from the bottom of the cross-section to the center of these reinforcement bars are as follows:
       - 27.5 inches (27½ in.) from the bottom to the center of the reinforcing bars
       - An additional 4.5 inches (4½ in.) to the top edge of the cross-section.

**Additional Notes:**
- The left-side diagram represents the forces and beam configuration, while the right-side diagram details the cross-sectional dimensions and reinforcement layout of the beam.
- The combination of point load and distributed load on the beam, along with specific cross-sectional reinforcements, are typical considerations in structural analysis and design.

**Educational Context:**
This problem can be utilized to teach concepts related to structural analysis, including load calculations, shear force and bending moment diagrams, and reinforcement design.
Transcribed Image Text:### Problem 6.6 **Description:** The image consists of a problem statement involving a horizontally fixed beam supported at one end. The beam is subjected to a uniform distributed load and a point load. **Diagram Details:** 1. **Beam Representation (Left-Side Diagram):** - **Point Load (P_L):** A point load of 20 kips (20 k) is acting downward at the free end of the beam. - **Distributed Load (w_D):** A uniform distributed load with an intensity of 2 kips per foot (2 k/ft) is applied over the entire length of the beam. - **Beam Length:** The length of the beam is 18 feet (18 ft). 2. **Cross-Section of Beam (Right-Side Diagram):** - The cross-section of the beam is rectangular with a height of 32 inches (32 in.) and a width of 16 inches (16 in.). - **Reinforcement Details:** - Six #11 bars are placed in the cross-section. - Vertical space measurements from the bottom of the cross-section to the center of these reinforcement bars are as follows: - 27.5 inches (27½ in.) from the bottom to the center of the reinforcing bars - An additional 4.5 inches (4½ in.) to the top edge of the cross-section. **Additional Notes:** - The left-side diagram represents the forces and beam configuration, while the right-side diagram details the cross-sectional dimensions and reinforcement layout of the beam. - The combination of point load and distributed load on the beam, along with specific cross-sectional reinforcements, are typical considerations in structural analysis and design. **Educational Context:** This problem can be utilized to teach concepts related to structural analysis, including load calculations, shear force and bending moment diagrams, and reinforcement design.
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