Answer :
The maximum shear stress in a beam subject to a shear force can be calculated using the relationship au_{max} = \frac{VQ}{Ib}, but the explicit value requires specific dimensions and properties of the beam.
When a wide-flange beam is subjected to a shear force of V=22kN, the maximum shear stress can be calculated using the formula:
au_{max} = \frac{VQ}{Ib},
where
V is the shear force,
Q is the first moment of area about the neutral axis,
I is the second moment of inertia, and
b is the width of the beam at the point of interest.
The values for Q, I, and b will depend on the particular geometry and dimensions of the beam in question. Those must be known or provided to apply the formula and solve for the shear stress. If we have a beam with a uniform cross-section, Q and I can often be found in engineering handbooks or calculated using the geometry of the cross-section. The shear stress should not exceed the yield stress of the material to prevent permanent deformation. Without the specific dimensions, we cannot calculate the exact value of the maximum shear stress in this particular case.
