24. Non-uniform Bending
The discussion centers on non-uniform bending of beams, where the bending moment varies along the length of the beam, resulting in non-constant curvature. Key formulas relating bending moments to curvature and shear forces are derived, highlighting the conditions under which shear forces affect beam cross-sections. The chapter also provides insight into how shear stress varies across different beam cross-sections, including rectangular, circular, and I-beam shapes.
Enroll to start learning
You've not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Sections
Navigate through the learning materials and practice exercises.
What we have learnt
- Non-uniform bending occurs when the bending moment is not constant along the length of the beam.
- The relationship between bending moment, curvature, and shear force is critical in analyzing beam behavior.
- Shear stress varies across the cross-sections of beams and is influenced by the shape of the section.
Key Concepts
- -- Bending Moment
- The moment that causes a beam to bend, dependent on applied loads and their positions.
- -- Curvature
- A measure of how much a beam deviates from being straight due to bending.
- -- Shear Force
- The force acting perpendicular to the axis of a beam, causing internal shear stress.
- -- Shear Stress
- The stress component parallel to the cross-section of the material in a beam due to applied shear force.
- -- First Moment of Area
- A measure used to calculate the distribution of shear stress across a beam's cross-section.
Additional Learning Materials
Supplementary resources to enhance your learning experience.