The maximum shear force (V) at the fixed support of a cantilever beam with a uniform distributed load (w) is V = w * L, where L is the length of the beam.

The stability of a frame structure is affected by all of the above factors: material properties, geometry of the frame, and load conditions.

The deflection (δ) at the center of a simply supported beam with a point load (P) at the center is given by δ = (P * L^3) / (48 * E * I), where E is the modulus of elasticity and I is the moment of inertia.

The moment of inertia (I) for a rectangular beam section is given by I = (b * h^3) / 12, where b is the width and h is the height of the section.

The stiffness (k) of a beam is defined as the ratio of the load (P) applied to the deflection (δ) produced, thus k = P / δ.

The shear force (V) just to the left of a point load (P) on a simply supported beam is equal to V = P.