An increase in load at the free end of a cantilever is likely to cause failure-
At the fixed support end
The maximum distance x is the total length of the beam, which occurs at the fixed support end. M_{max} = P × L (where L is the length of the beam) Since the maximum bending moment, and consequently the maximum bending stress, occurs at the fixed support end, this is where the cantilever beam is most likely to fail due to bending.
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.
