The deflection (δ) at the center of a simply supported beam subjected to a uniformly distributed load (w) is given by δ = 5WL^3/48EI.

The Stiffness Method is typically used to analyze statically indeterminate structures by considering the stiffness of the members.

The factor of safety (FS) is calculated as FS = Ultimate Load / Allowable Load = 100 kN / 50 kN = 2.0.

The shear force (V) at a section located at a distance 'x' from the left end of a simply supported beam with a point load (W) at the center is V = W/2 - x.