How to Calculate Shear Force and Bending Moment Diagrams for a Steel C-Channel?

Resolving Shear Force and Bending Moment:

Shear Force Diagram: To draw the shear force diagram, one must calculate the shear force at different sections along the length of the beam by resolving forces acting on it. The diagram will show how the shear force varies along the length of the c-channel.

Bending Moment Diagram: The bending moment diagram is plotted by calculating the bending moment at various points along the c-channel. This involves considering both external applied loads and internal reactions to determine the bending moment profile.

Calculating Flexural Stress Profile:

Flexural Stress Formula: The flexural stress at any point on the steel c-channel can be calculated using the formula σ = -My/I, where M is the bending moment at that point, y is the distance from the neutral axis to the point, and I is the Moment of Inertia of the cross-section.

Roller Support: At the roller support, the bending moment is typically zero, resulting in no flexural stress. This point serves as a pivotal support location for the c-channel.

Location 6 Meters Away: To determine the flexural stress at a location 6 meters away from the roller support, the bending moment value at that specific point is required for accurate calculation of the stress profile.

These calculations are fundamental in engineering mechanics for assessing the structural reliability and suitability of components like steel c-channels in supporting various loads. They play a critical role in ensuring the safety and stability of structures.