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A point within the cross sectional plane of a beam through which the resultant of the external loading on the beam has to pass through to ensure pure bending without twisting of the cross-sectional of the beam is called:
  • a)
    Moment center
  • b)
    Centroid
  • c)
    Shear center
  • d)
    Elastic center
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A point within the cross sectional plane of a beam through which the r...
Shear center is defined as the point on the beam section where load is. applied and no twisting is produced. At shear center, resultant of internal forces passes. On symmetrical sections, shear center is the center of gravity of that section.
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A point within the cross sectional plane of a beam through which the r...
Shear center is the correct answer.

Explanation:
The shear center is a point within the cross-sectional plane of a beam where the external loading on the beam must pass through in order to ensure pure bending without twisting of the cross-section. It is an important concept in structural engineering, particularly in the design of beams and other structural elements.

In order to understand the significance of the shear center, it is important to first understand the concepts of bending and twisting in a beam.

Bending refers to the deformation of a beam under load, which causes the beam to curve. This bending is typically caused by a moment applied to the beam. When a beam bends, the top and bottom surfaces of the beam experience tension and compression, respectively.

Twisting, on the other hand, refers to the deformation of a beam that causes it to rotate about its longitudinal axis. Twisting can occur when a shear force is applied to the beam, causing the top and bottom surfaces of the beam to experience shear stresses.

When a beam is subjected to both bending and twisting, it is important to ensure that the resulting deformation is pure bending without any twisting. This is particularly important in structural applications where twisting can lead to instability or failure of the structure.

The shear center is the point within the cross-sectional plane of the beam where the external loading must pass through in order to eliminate twisting and ensure pure bending. It is the point where the shear forces and bending moments due to the external loading are in equilibrium, resulting in pure bending without any twisting.

By ensuring that the external loading passes through the shear center, engineers can design beams and other structural elements that are resistant to twisting and have predictable and controllable behavior under load.

In summary, the shear center is the point within the cross-sectional plane of a beam where the external loading must pass through to ensure pure bending without twisting. It is an important concept in structural engineering and plays a critical role in the design of beams and other structural elements.
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