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The equation for maximum shear stress in a beam is represented as T = (V * Q) / (I * B). In this equation:

  • T denotes the shear stress at a specific point within the beam.
  • V represents the internal shear force acting on the section.
  • Q is the first moment of area about the neutral axis, which is the area of the portion of the beam above (or below) the point where the shear stress is being calculated, multiplied by the distance from the centroid of this area to the neutral axis.
  • I is the moment of inertia of the entire cross-section about the neutral axis, which quantifies the distribution of the cross-sectional area and its resistance to bending.
  • B refers to the width of the beam at the location where shear stress is being calculated.

This equation is pivotal in structural engineering as it allows engineers to determine the shear stress distribution across different sections of a beam when subjected to shear forces. It highlights how the internal shear force, the geometry of the beam, and the distribution of the cross-sectional area affect shear stress.

The other options provided represent different relationships but do not accurately define the maximum shear stress equation in the context of beam theory and do not correctly account for all the parameters involved in calculating

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