Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Concept explainers

Beams
In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe be…
Question

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.
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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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