singularity

SOLVED:(a) Using singularity functions, write the equations for the shear and bending moment for the beam and loading shown. (b) Determine the maximum normal stress due to bending.

SOLVED: A simply supported beam is loaded as shown in Fig. P8.24. Using singularity functions, the shear along the beam can be expressed by the equation: V(x)=20[⟨ x-0⟩^1-⟨ x-5⟩^1]-15⟨ x-8⟩^0-57 By definition, the singularity function can be expressed as follows: ⟨ x-a⟩^n={ (x-a)^n when x>a 0 when x ≤ a } Use a numerical method to find the point(s) where the shear equals zero.

What is a singularity?

Building containers with Singularity