Draw the moment diagram for the beam.
Understand the Problem
The question asks to draw the moment diagram for a beam with a uniformly distributed load of 12 kN/m over the entire span and a concentrated moment of 30 kN.m applied at the mid-span. The beam is supported by a pin support at end A and a roller support at end B. The provided text gives instructions on how to use a software tool to draw the diagram, including adding discontinuity lines and segments.
Answer
Calculate reaction forces, bending moment, and plot the moment diagram.
To draw the moment diagram for the beam, you need to calculate the reactions at supports A and B. Then, calculate the bending moment along the beam, considering the distributed load and the point moment. Finally, plot the bending moment diagram, indicating the key values and the shape of the curve.
Answer for screen readers
To draw the moment diagram for the beam, you need to calculate the reactions at supports A and B. Then, calculate the bending moment along the beam, considering the distributed load and the point moment. Finally, plot the bending moment diagram, indicating the key values and the shape of the curve.
More Information
The bending moment diagram provides essential information about the internal stresses and potential failure points within the beam. The maximum bending moment is a key parameter for structural design.
Tips
A common mistake is not considering the point moment's effect on the bending moment diagram. Be careful with the sign convention.
Sources
- How to Calculate Bending Moment Diagram? - SkyCiv - skyciv.com
- Shear and Moment Diagrams - Mechanics Map - mechanicsmap.psu.edu
- 6.2: Shear/Moment Diagrams - Engineering LibreTexts - eng.libretexts.org
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