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Determine the internal shear force and moment acting at point C in the beam. 4 kip/ft B 6 ft 6 ft

Determine the internal shear force and moment acting at point C in the beam. 4 kip/ft B 6 ft 6 ft

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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### Determining Internal Shear Force and Moment at Point C **Problem Statement:** Determine the internal shear force and moment acting at point C in the beam. **Diagram Description:** We have a beam supported at two points: A and B, with point A being a pin support and point B being a roller support. The beam is subjected to a uniformly distributed load of 4 kip/ft over its entire length. The total length of the beam is 12 ft, evenly divided with 6 ft between A and C and another 6 ft between C and B. **Steps to Determine Internal Shear Force and Moment at Point C:** 1. **Identify Reactions at Supports:** - Calculate the reaction forces at supports A and B using static equilibrium equations (ΣFy = 0 and ΣMz = 0). 2. **Cut the Beam at Point C:** - Consider the left side of the beam to calculate the shear force and moment at point C. 3. **Shear Force Calculation:** - Sum up all forces vertically at point C. 4. **Bending Moment Calculation:** - Calculate the sum of moments about point C taking into account all forces and distances from C. Make sure to use standard static equilibrium equations and beam theory for these calculations. This analysis will give you insight into the internal stress distribution within the beam at any given point, particularly at point C for this problem.
Transcribed Image Text:### Determining Internal Shear Force and Moment at Point C **Problem Statement:** Determine the internal shear force and moment acting at point C in the beam. **Diagram Description:** We have a beam supported at two points: A and B, with point A being a pin support and point B being a roller support. The beam is subjected to a uniformly distributed load of 4 kip/ft over its entire length. The total length of the beam is 12 ft, evenly divided with 6 ft between A and C and another 6 ft between C and B. **Steps to Determine Internal Shear Force and Moment at Point C:** 1. **Identify Reactions at Supports:** - Calculate the reaction forces at supports A and B using static equilibrium equations (ΣFy = 0 and ΣMz = 0). 2. **Cut the Beam at Point C:** - Consider the left side of the beam to calculate the shear force and moment at point C. 3. **Shear Force Calculation:** - Sum up all forces vertically at point C. 4. **Bending Moment Calculation:** - Calculate the sum of moments about point C taking into account all forces and distances from C. Make sure to use standard static equilibrium equations and beam theory for these calculations. This analysis will give you insight into the internal stress distribution within the beam at any given point, particularly at point C for this problem.
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