Simple bending takes place ifa)loading passes above shear centre for s...
Simple bending takes place if loading plane coincides with one of the principal planes of doubly symmetric section such as I-section or in case of singly symmetric open section such as channel section, the loading passes through shear centre and is parallel to the principal plane. Unsymmetrical bending occurs if loading does not pass through shear centre.
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Simple bending takes place ifa)loading passes above shear centre for s...
Understanding Simple Bending
Simple bending occurs when a beam is subjected to a pure bending moment without any additional forces that cause twisting or shear. This condition is critical in structural engineering for analyzing how beams will behave under load.
Loading Plane and Principal Planes
- The principal planes of a doubly symmetric section are the planes of symmetry where bending will not induce any twist or shear.
- When the loading plane coincides with one of these principal planes, the resulting stresses are uniform and predictable, thus leading to simple bending.
Why Option C is Correct
- Symmetry: In a doubly symmetric section, such as an I-beam or a box section, the geometry and material properties are symmetrical about both the x-axis and y-axis.
- Pure Bending: Loading along the principal plane ensures that the bending moment acts uniformly across the section, allowing for simple bending to occur without causing shear or torsion.
- Stress Distribution: The resulting stress distribution is linear, simplifying calculations and ensuring that all fibers in the beam experience similar bending conditions.
Other Options Explained
- Option A: Loading above the shear center can induce additional shear forces and torsional effects.
- Option B: Loading below the shear center similarly disrupts the pure bending scenario.
- Option D: When the loading plane does not align with the principal planes, complex stress states arise, complicating the analysis.
In conclusion, option ‘C’ is correct because it ensures that simple bending occurs under the ideal conditions of symmetry, preventing any additional forces from complicating the bending behavior of the beam.
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