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Sketch the internal shear and moment as a function of the beam length (triangle denotes a pin boundary condition): a = b = L/2 P R A a b B RB

Sketch the internal shear and moment as a function of the beam length (triangle denotes a pin boundary condition): a = b = L/2 P R A a b B RB

Elements Of Electromagnetics
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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**Beam Analysis Problem** Objective: Sketch the internal shear and moment as a function of the beam length. **Description:** - The beam is supported at two points: A and B. - Point A has a triangular symbol indicating a pin support, which allows rotation but no translational movement. - Point B has a circular symbol indicating a roller support, which allows horizontal translation but no vertical movement. - The beam is subjected to a central downward load \( P \). **Key Parameters:** - Total length of the beam is \( L \). - Distances \( a \) and \( b \) from the supports to the load are equal: \( a = b = L/2 \). **Support Reactions:** - \( R_A \) and \( R_B \) represent the vertical reaction forces at supports A and B, respectively. The task is to represent how the internal shear force and bending moment vary along the length of the beam due to the applied load \( P \).
Transcribed Image Text:**Beam Analysis Problem** Objective: Sketch the internal shear and moment as a function of the beam length. **Description:** - The beam is supported at two points: A and B. - Point A has a triangular symbol indicating a pin support, which allows rotation but no translational movement. - Point B has a circular symbol indicating a roller support, which allows horizontal translation but no vertical movement. - The beam is subjected to a central downward load \( P \). **Key Parameters:** - Total length of the beam is \( L \). - Distances \( a \) and \( b \) from the supports to the load are equal: \( a = b = L/2 \). **Support Reactions:** - \( R_A \) and \( R_B \) represent the vertical reaction forces at supports A and B, respectively. The task is to represent how the internal shear force and bending moment vary along the length of the beam due to the applied load \( P \).
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