College

If the wide-flange beam is subjected to a shear of [tex]$V = 20 \, \text{kN}$[/tex], determine the maximum shear stress in the beam. Use the shear formula.

Answer :

The maximum shear stress in the beam can be determined using the shear formula.

The shear formula is τ = VQ / It, where τ is the shear stress, V is the shear force, Q is the first moment of area of the cross-section about the neutral axis, I is the moment of inertia of the cross-section about the neutral axis, and t is the thickness of the beam at the section where the shear stress is being calculated.

In this case, since the wide-flange beam is subjected to a shear of V = 20kN, we use this value for V in the shear formula. To find the maximum shear stress, we need to calculate Q, I, and determine the thickness of the beam at the section where the shear stress is being calculated. After plugging in the values into the shear formula, we can calculate the maximum shear stress in the beam.