The bending moment at a section of a beam will have its local maximum where the shear force is-
Zero
In calculus, a local maximum or minimum value of a function occurs where its first derivative is equal to zero. Therefore, the bending moment diagram will have a slope of zero at the point where the shear force diagram crosses the zero axis.
Important Questions from Shear Stress and Bending Stress
- For a beam to be classified as a beam of uniform strength, which of the following conditions must be met?
For a circular cross-section, the relationship between the maximum shear stress (qmax) and average shear stress (qav) is gives as
A block is of dimensions of the upper surface 100 mm x 100 mm. The height of the block is 10 mm. A tangential force of 10 kN is applied at the centre of the upper surface. The block is displaced by 1 mm with respect to the lower face. Direct shear stress in the element is:
The ratio of moment carrying capacity of a square cross-section beam of dimension D to the moment carrying capacity of a circular cross-section of diameter D is:
The maximum shear stress in a rectangular cross section _________ per cent greater than the average shear stress on the cross section.
