The hip joints of patients with osteopenia and osteoporosis show a complex mechanical behavior resulting from the decalcification of bone tissue, which modifies its internal structure and properties. The joints are subjected to stress because together with the musculature that surrounds them, they support the weight of the body in static and dynamic postures with fatigue. Under load conditions, the biomechanical failure of the joints is the product of the forces that act when they exceed their capacity for balance while they wear out. The mechanical behavior of the joints is important because they belong to the trunk and relate the coxal bone to the left or right femur during work activities. Then, through fractal methods, the results of bone densitometry were evaluated. By self-similar traces in Box-Dimension and in Mass-Dimension, the fractal dimension of the joints was determined to evaluate the irregularities and wear of the same. Likewise, it describes the variation of bone mass in the time that passes from the normal condition to osteoporosis.