Question

Maximum shear stress at neutral axis for circular section is

Answer 1

The maximum shear stress is located at the neutral axis. As the point moves further from the neutral axis, the value of the shear stressis reduced until it reaches zero at both extremes. On the other hand, if the member is subjected to an axial load, shear stress varies with rotating the element.When an section beam is subjected to both Bending and Shear Stresses it is normal to find that the Maximum Principle Stress is at the top of the Web. The other possible value is the Maximum Bending Stress which occurs at the outer edge of the Flange.Q = statical moment of area; b = thickness (width) in the material perpendicular to the shear; I = Moment of Inertia of the entire cross sectional area. The beam shear formula is also known as Zhuravskii shear stress formula after Dmitrii Ivanovich Zhuravskii who derived it in 1855.Shear stress is the force, F, acting on a given section divided by the cross sectional area, A, of the section, calculated in the direction of the force. E.G., for a force, F, normal to the surface of a beam having a cross sectional area of A, the shear stress is = F/A.The neutral axis is an axis in the cross section of a beam (a member resisting bending) or shaft along which there are no longitudinalstresses or strains. If the section is symmetric, isotropic and is not curved before a bend occurs, then the neutral axis is at the geometric centroid.Shear and bending moment diagrams areanalytical tools used in conjunction with structural analysis to help perform structural design by determining the value of shear force and bending moment at a given point of a structural element such as a beam.