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B' 5.5" 12k 13.25" 8' -2.2-1 1-1 and 10-1-2: Find the maxi s-sections shown.

B' 5.5" 12k 13.25" 8' -2.2-1 1-1 and 10-1-2: Find the maxi s-sections shown.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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10-1-1 Find the maximum shear stress in the beams and 
cross-sections shown

### Shear Stress Analysis in Beams and Cross-Sections #### Problem Statement: **10-1-1 and 10-1-2**: Find the maximum shear stress in the beams and cross-sections shown. #### Diagram Explanation: 1. **Beam A**: - The left diagram shows a simply supported beam. - The beam span is 16 feet, with an 8 feet span between supports on both sides. - There is a uniformly distributed load of 5 kips per foot (5k/ft) over the entire span. - Additionally, there is a point load of 12 kips at the center of the beam span (8 feet from each support). 2. **Beam B**: - The right diagram shows another beam, which is also simply supported. - This beam has a span divided into three segments: 10 feet, 5 feet, and 5 feet. - There is a uniformly distributed load of 3 kips per foot (3k/ft) over the 10-foot segment. - Additionally, there are point loads of 10 kips each at the end of the second 5 feet segment (both loads acting downward). 3. **Cross-Sectional Shapes**: - For Beam A: The cross-sectional dimensions of the beam are given; height is 13.25 inches, and the width is 5.5 inches. - For Beam B: The cross-section provided is a W 21 x 55 section, which is a standard designation for a structural steel I-beam, where 21 inches is the nominal depth and 55 is the weight per foot in pounds. #### Objective: - Calculate the maximum shear stress in both beams A and B. - Consider the given cross-sectional dimensions to determine the stress distribution. By analyzing the shear forces at critical points in the beams and using the relationship of shear stress within the given cross-sections, you can determine the maximum shear stresses needed for structural analysis and design.
Transcribed Image Text:### Shear Stress Analysis in Beams and Cross-Sections #### Problem Statement: **10-1-1 and 10-1-2**: Find the maximum shear stress in the beams and cross-sections shown. #### Diagram Explanation: 1. **Beam A**: - The left diagram shows a simply supported beam. - The beam span is 16 feet, with an 8 feet span between supports on both sides. - There is a uniformly distributed load of 5 kips per foot (5k/ft) over the entire span. - Additionally, there is a point load of 12 kips at the center of the beam span (8 feet from each support). 2. **Beam B**: - The right diagram shows another beam, which is also simply supported. - This beam has a span divided into three segments: 10 feet, 5 feet, and 5 feet. - There is a uniformly distributed load of 3 kips per foot (3k/ft) over the 10-foot segment. - Additionally, there are point loads of 10 kips each at the end of the second 5 feet segment (both loads acting downward). 3. **Cross-Sectional Shapes**: - For Beam A: The cross-sectional dimensions of the beam are given; height is 13.25 inches, and the width is 5.5 inches. - For Beam B: The cross-section provided is a W 21 x 55 section, which is a standard designation for a structural steel I-beam, where 21 inches is the nominal depth and 55 is the weight per foot in pounds. #### Objective: - Calculate the maximum shear stress in both beams A and B. - Consider the given cross-sectional dimensions to determine the stress distribution. By analyzing the shear forces at critical points in the beams and using the relationship of shear stress within the given cross-sections, you can determine the maximum shear stresses needed for structural analysis and design.
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