Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Graphical Methods
The graphical method is a method of solving equations involving more than one variable using the Cartesian coordinate system. In civil engineering, the use of the graphical method is limited to the problems involving two variables. The graphical method h…
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**Problem 9.4** - Draw the shear (V) and bending moment (M) diagrams for the beam below. ### Diagram Details: - **Beam Configuration:** - The beam starts at point A, which is fixed. - The beam ends at point B, which is supported by a roller. - The total length of the beam is 12 meters, divided as follows: - Section AC = 3 meters - Section CD = 3 meters - Section DE = 3 meters - Section EB = 3 meters - **Loads and Supports:** - A concentrated moment of 8 kN·m is applied clockwise at point C. - A uniform distributed load of 2 kN/m is applied from point C to point D (3 meters). - A hinge is located at point D. - A concentrated downward load of 4 kN is applied at point E. ### Task: - Construct the shear force diagram (V). - Construct the bending moment diagram (M). ### Analysis: - Consider the reactions at A and B due to the support constraints. - Apply equilibrium equations to solve for unknown reactions and internal forces. - Use the given loads and moments to calculate shear and moment values across each section. This problem requires applying principles of statics to determine internal stress resultants in the beam caused by external loads and support reactions. Understanding these diagrams helps in assessing the beam's structural performance under the given load conditions.
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Transcribed Image Text:**Problem 9.4** - Draw the shear (V) and bending moment (M) diagrams for the beam below. ### Diagram Details: - **Beam Configuration:** - The beam starts at point A, which is fixed. - The beam ends at point B, which is supported by a roller. - The total length of the beam is 12 meters, divided as follows: - Section AC = 3 meters - Section CD = 3 meters - Section DE = 3 meters - Section EB = 3 meters - **Loads and Supports:** - A concentrated moment of 8 kN·m is applied clockwise at point C. - A uniform distributed load of 2 kN/m is applied from point C to point D (3 meters). - A hinge is located at point D. - A concentrated downward load of 4 kN is applied at point E. ### Task: - Construct the shear force diagram (V). - Construct the bending moment diagram (M). ### Analysis: - Consider the reactions at A and B due to the support constraints. - Apply equilibrium equations to solve for unknown reactions and internal forces. - Use the given loads and moments to calculate shear and moment values across each section. This problem requires applying principles of statics to determine internal stress resultants in the beam caused by external loads and support reactions. Understanding these diagrams helps in assessing the beam's structural performance under the given load conditions.
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