Question

Can someone please help me with this.

a) give an arrangement why, for a given curvature, the stress should not depend on the length of the bone

b) from the equation O=Y(r/R) estimate the strain inside a bone with a radius r and curvature 1/R

Answer 1

long bones or Nearly all terrestrial animate- mammals that have been studied are loaded in greater toad bone mass bending. Yet bending requires than axial compression for eppective supportop equivalent stactic loads. Most long bones in pact, are curved along their rength their curvature ang aurea menting rather than diminishina stoesses developed due to bending. The most inefficient design of a bonel (maximum s 19th per unit mars) should be a foom which is straight & resists axial compressions, I Bone cuervature of Bending developed in the long bones of most species sitedied there pere, peses a paradox in design. However, under natural conditicos lan animal's skeleton must support a range of dynamic loads that vary in both directions magnitude. Thus, improved predictability of eyn dynamic loading should represent an importeret feature in the design of the bone, in addition ito its abrotute strength. we present an explanation op long bone curvature, based on the conditions op stability foo bending us axial compression in a column that describes this apparent design pazudex as a mechanism for improving the predicability op loading direction (and, consequenty, the nottern of stresses within the bone).