Gravity undoubtedly exerts force on all objects. It is easily measured and all successful structures were designed to withstand that force.
“Gravity is most accurately described by the general theory of relativity (proposed by Albert Einstein in 1915) which describes gravity not as a force but as a consequence of the curvature of spacetime caused by the uneven distribution of mass/energy; and resulting in gravitational time dilation, where time lapses more slowly in lower (stronger) gravitational potential.
However, for most applications, gravity is well approximated by Newton’s law of universal gravitation, which postulates that gravity causes a force where two bodies of mass are directly drawn (or ‘attracted’) to each other according to a mathematical relationship, where the attractive force is proportional to the product of their masses and inversely proportional to the square of the distance between them.”
https://en.wikipedia.org/wiki/Gravitation